Comparison of models to mitigate flood hazard to ...

UNLV Retrospective Theses & Dissertations

1-1-1996

Comparison of models to mitigate flood hazard to transportation Comparison of models to mitigate flood hazard to transportation

alignments on alluvial fans alignments on alluvial fans

Julianne Joy Miller University of Nevada, Las Vegas

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Comparison of Models to Mitigate Flood Hazard to Transportation Alignments on

Alluvial Fans

by

Julianne J. Miller

A thesis submitted in partial fulfillment of the requirements for the degree of

Master of Science

in

Water Resources Management

Department of Geoscience University of Nevada, Las Vegas

May 1996


UMI Number: 1380524

Copyright 1996 by Miller, Julianne JoyAll rights reserved.

UMI Microform 1380524 Copyright 1996, by UMI Company. All rights reserved.

This microform edition is protected against unauthorized copying under Title 17, United States Code.

UMI300 North Zceb Road Ann Arbor, MI 48103


©1996 Julianne J. Miller Ail Rights Reserved


The Thesis of Julianne j . Miller for the degree of Master in Water Resources Management

is approved.

Chairperson, Richard H. French, Ph.D.

Examirritig/Committee Member, Roko Andricevic, Ph.D.

n

Examining Committee Member, David L. Weide, Ph.D.

Graduate Faculty Representative, Stanley D. Smith, Ph.D.

Dean of the Graduate College, Ronald W. Smith, Ph.D.

University of Nevada, Las Vegas May 1996


ABSTRACT

Study of hydraulic and géomorphologie processes on alluvial fans using the

best available methods is essential to delineation of flood hazards and design of

flood control structures in the arid and semi-arid south\A/estern United States. Many

investigators have suggested that available one- and two-dimensional, deterministic

models may provide better estimates for alluvial fan flood mitigation studies than the

one-dimensional, stochastic Federal Emergency Management Agency (FEMA)

model.

This investigation consists of two parts: (1) a comparison of model-generated

discharges from a modified version of the one-dimensional, stochastic FEMA model

(French, 1992) with model-generated discharges from the one- and two-

dimensional, deterministic models, DAMBRK (Fread, 1984) and FL0-2D (O’Brien,

1995), respectively, and (2) a risk analysis of flood damage to railroad alignments.

The three models are used to estimate peak discharges at railroad alignments

crossing three alluvial fans in southern Nevada. Exceedance probabilities for the

model-generated discharges at drainage structures along these alignments are

calculated in the risk analysis. Results are then compared with railroad

maintenance records documenting damage over a 75-year period to these

alignments.

iii


All three models generally predict peak discharges that are larger than the

railroad maintenance records indicate have occurred; however, the risk analyses

show that the two deterministic models yield more conservative results than the

stochastic model. Although conservative results are desirable in hydraulic

engineering analyses, flood hazard mitigation designs based on overly conservative

results are not cost-effective. However, design costs should always be weighed

against risk and consequence costs. Consequence costs may justify large

increases in design costs that result in small increases in risk reduction.

A combination of results from the modified-FEMA and the FL0-2D models

may provide a cost-effective method for estimating design peak discharges for

transportation alignments crossing alluvial fans. Design costs can be minimized by

using the modified-FEMA model for insignificant structures or where risks are

negligible. FL0-2D, with larger up-front design costs, can be used to provide a

more accurate assessment of peak design discharges for significant structures or

where risks are appreciable.

IV


TABLE OF CONTENTS

ABSTRACT ................................................................................................................. iii

LIST OF T A B LE S ...................................................................................................... viii

LIST OF FIG URES.................................................................................................. xii

LIST OF ACRONYMS ............................................................................................. xiv

ACKNOWLEDGMENTS............................................................................................ xv

INTRODUCTION .........................................................................................................1Objective ...........................................................................................................4A pp roach ...........................................................................................................4Application of Results ..................................................................................... 7

LITERATURE REVIEW ..............................................................................................9FEMA Alluvial Fan M odel.................................................................................9

ALLUVIAL FAN FLOOD PROCESSES ..................................................................13Alluvial Fan Hydraulics................................................................................... 13Difficulties and Limitations of Mathematical Modeling

of Alluvial Fan Floods ..............................................................14Mapping Accuracy...............................................................................14Unconfined FIo\a/s ...............................................................................15Channel Avulsions .............................................................................15Debris Flows and Mudflows ............................................................. 16Supercritical Flow and Transient Flow Conditions ........................ 17

Geology and Watershed Descriptions......................................................... 17UPRR1 and UPRR2: Lucy Gray R a n g e ............................................ 17UPRR3: Las Vegas Range ............................................................. 24

Hydrology.........................................................................................................27Precipitation ....................................................................................... 27Hydrologie Analysis............................................................................ 28


ALLUVIAL FAN FLOOD SIMULATION ..................................................................30Model Assumptions and Limitations ...........................................................30

Model Features................................................................................... 30Availability/Assistance/Documentation .................................31Computer Time ........................................................................ 32

FL0-2D ...........................................................................................................33FL0-2D: Model In p u t ........................................................................34FL0-2D: Alluvial Fan M ode ls ...........................................................39FL0-2D: Model R e su lts ................................................................... 40FL0-2D; Model Discussion .............................................................42

DAMBRK: Dam-Break Flood Forecasting Model .....................................46DAMBRKDAMBRKDAMBRKDAMBRK

Model In p u t......................................................................47Alluvial Fan M odels........................................................ 49Model R esu lts ................................................................. 51Model Discussion ...........................................................53

Modified-FEMA M o d e l...................................................................................57Modified-FEMA Model Modified-FEMA Model Modified-FEMA Model Modified-FEMA Model

Model In p u t................................................57Alluvial Fan M odels...................................63Model R esu lts ........................................... 65Model Discussion .....................................67

MODEL RESULTS AND RISK A N ALY SE S...........................................................68Stochastic and Deterministic Model Results ..............................................68Risk Analyses of Railroad Drainage S tructures......................................... 80

Risk Analyses of Drainage Structure Capacities............................ 81Risk Analyses of Drainage Structures Using

FL0-2D and DAMBRK............................................................. 86Risk Analyses of Drainage Structures Using

the Modified-FEMA M o d e l...................................................... 94

Results and D iscussion.................................................................................99

CONCLUSIONS.......................................................................................................106

APPENDIX I: FL0-2D MODEL INPUT F IL E S .....................................................109APPENDIX II: FL0-2D MODEL OUTPUT FILES ..............................................184APPENDIX III: DAMBRK MODEL INPUT F ILE S ................................................ 188APPENDIX IV: DAMBRK MODEL OUTPUT FILES ..........................................195APPENDIX V: MODIFIED-FEMA MODEL CALCULATIONS ..........................216APPENDIX VI: FEMA FAN MODEL OUTPUT F ILES ......................................... 223

vi


APPENDIX VII: RISK ANALYSES CALCULATIONS..........................................232APPENDIX VIII: RAILROAD MAINTENANCE RECORDS: LETTERS 240

REFERENCES......................................................................................................... 244

VII


LIST OF TABLES

Table 1. Peak discharges for the 100-, 10-, and 2-yearalluvial fan apex f lo w s .........................................................................28

Table 2. Computer run times for the FL0-2D and DAMBRK models of the UPRR1, UPRR2, and UPRR3 alluvial fans using three different computer systems.............................................32

Table 3. FL0-2D grid parameters for the UPRR1, UPRR2,and LJPRR3 alluvial fan models.......................................................... 41

Table 4. Results for the FL0-2D models of the UPRR1, UPRR2,and UPRR3 alluvial fans...................................................................... 43

Table 5. Results for the DAMBRK models of the UPRR1, UPRR2,and UPRR3 alluvial fans...................................................................... 55

Table 6. Results of the modified-FEMA models of the UPRR1, UPRR2,UPRR3 alluvial fans..............................................................................66

Table 7. Drainage structure capacities compared withFLO-2D and DAMBRK discharges, and withmodified-FEMA 100-year structure discharges............................... 69

Table 8. FL0-2D, DAMBRK, and modified-FEMA model flow velocities............... 71

Table 9. FL0-2D, DAMBRK, and modified-FEMA model flow d e p th s ..................72

Table 10. Hydraulic parameters and risk analyses for drainage structurecapacities ............................................................................................ 85

Table 11. Hydraulic parameters and risk analyses for FL0-2D discharges . . . 91

Table 12. Hydraulic parameters and risk analyses for DAMBRK discharges . 93

VII I


Table 13. Hydraulic parameters and risk analyses formodified-FEMA model discharges......................................................98

Table 14. Percentage of drainage structures on each fan, and overall,that risk analyses indicate should have sustained damage . . . 100

Table 15. CONT.DAT and MULT.DAT input files for the FL0-2DUPRR1 alluvial fan model..................................................................110

Table 16. FPLAIN.DAT input file for the FL0-2DUPRR1 alluvial fan model..................................................................I l l

Table 17. FPINOUT.DAT input file for the FL0-2DUPRR1 alluvial fan model..................................................................138


Table 19. FPLAIN.DAT input file for the FL0-2DUPRR2 alluvial fan model..................................................................140

Table 20. FPINOUT.DAT input file for the FL0-2DUPRR2 alluvial fan model.................................................................152


Table 22. FPLAIN.DAT input file for the FL0-2DUPRR3 alluvial fan m o d e l................................................................154

Table 23. FPINOUT.DAT input file for the FL0-2DUPRR3 alluvial fan m o d e l................................................................183

Table 24. UPRR1 alluvial fan drainage structures with correspondingFL0-2D grid elements........................................................................185

Table 25. OUTNQ summary file for the FL0-2DUPRR1 alluvial fan model.................................................................185

Table 26. UPRR2 alluvial fan drainage structures with correspondingFL0-2D grid elements........................................................................186

IX


Table 27. OUTNQ summary file for the FL0-2DUPRR2 alluvial fan model................................................................186

Table 28. UPRR3 alluvial fan drainage structures with correspondingFL0-2D grid e lem ents......................................................................187

Table 29. OUTNQ summary file for the FL0-2DUPRR3 alluvial fan model .............................................................187

Table 30. DAMBRK input file for the UPRR1 alluvial fan model.....189



Table 33. Downstream lengths to cross-sections used to located drainage structures in DAMBRK output file for UPRR1 alluvial fan m o d e l............................................................... 198

Table 34. DAMBRK summary output file for the UPRR1 alluvial fan model . 199

Table 35. Calculation values used to determine the DAMBRK dischargesfor the drainage structures on the UPRR1 alluvial fan ............... 203

Table 36. Downstream lengths to cross-sections used to locateddrainage structures in DAMBRK output file for UPRR2 alluvial fan model .............................................................204

Table 37. DAMBRK summary output file for the UPRR2 alluvial fan model . 205

Table 38. Calculation values used to determine the DAMBRK dischargesfor the drainage structures on the UPRR1 alluvial fan.................. 209

Table 39. Downstream lengths to cross-sections used to locateddrainage structures in DAMBRK output file for UPRR3 alluvial fan model.................................................................210

Table 40. DAMBRK summary output file for the UPRR3 alluvial fan model .211

Table 41. Calculation values used to determine the DAMBRK dischargesfor the drainage structures on the UPRR3 alluvial fan ............... 215

Table 42. Discharge and statistical information for each alluvial fan................ 221

X


Table 43. Information for each drainage structure used in this study ..............221

Table 44. Calculation values necessary to determine themodified-FEMA model 100-year structure discharges ............... 222

Table 45. FEMA FAN output file for the UPRR1 alluvial fan ............................224

Table 46. FEMA FAN output file for the UPRR2 alluvial fan ............................227

Table 47. FEMA FAN output file for the UPRR3 alluvial fan.............................. 229

Table 48. Discharge and statistical information for each alluvial fa n ................233

Table 49. Information for each drainage structure used in the s tudy................233

Table 50. Calculation values necessary to determine the return periodsassociated with the drainage structure capacities......................... 234

Table 51. Calculation values necessary to determine the return periodsassociated with the FL0-2D model-generated discharges . . . . 235

Table 52. Calculation values necessary to determine the return periodsassociated with the DAMBRK model-generated discharges . . . 236

Table 53. Calculation values necessary to determine themodified-FEMA model 100-year structure discharges.................237

Table 54. Calculation values necessary to determine the exceedance probabilities for the drainage structure capacities, FL0-2D and DAMBRK discharges, and the modified-FEMA 100-year structure discharges ........................................................................239

XI


LIST OF FIGURES

Figure 1. Map of southern Nevada, showing locations of the UPRR1, UPRR2,and UPRR3 alluvial fans.........................................................................5

Figure 2. Map of region at Nevada-California border, near the UPRR1and UPRR2 alluvial fa n s .....................................................................18

Figure 3. Topographic map of the ÜPRR1 alluvial fan........................................ 20

Figure 4. Topographic map of the UPRR2 alluvial fan........................................ 22

Figure 5. Topographic map of the UPRR3 alluvial fan........................................ 25

Figure 6. Map of region north of Las Vegas, Nevada, near theUPRR3 alluvial fan................................................................................ 26

Figure 7. Hypothesized zones of precipitation in southern Nevada....................29

Figure 8. Diagram of the four main modular subroutines in FL0-2D.................. 34

Figure 9. Diagram of control variable data in FL0-2D.......................................... 36

Figure 10. Diagram of floodplain data in FLO-2D.................................................. 36

Figure 11. Diagram of main channel system data in FL0-2D.............................. 37

Figure 12. Diagram of physical processes data in FL0-2D..................................38

Figure 13. Schematic for DAMBRK volume calculation.......................................... 54

Figure 14. Schematic of an alluvial fan, with contour v/idth anddrainage berm width defined................................................................58

Figure 15. FL0-2D maximum velocity contours for the UPRR1 alluvial fan. . . 73


xii



Figure 18. FL0-2D maximum depth contours for the UPRR1 alluvial fan. . . . 76



XIII


LIST OF ACRONYMS

CADD Computer-Aided Drafting and Design

CCRFCD Clark County Regional Flood Control District (Nevada)

cfs cubic feet per second

DTM Digital Terrain Mapping

FCDMC Flood Control District of Maricopa County (Arizona)

FEMA Federal Emergency Management Agency

HEC Hydrologie Engineering Center, U.S. Army Corps of Engineers

LP3 Log-Pearson Type III

UPRR Union Pacific Railroad

USACE United States Army Corps of Engineers

u s e s United States Geological Survey

US WRC United States Water Resources Council

X IV


ACKNOWLEDGMENTS

The work on which this paper is based was supported by the

U.S. Department of Energy under Contract No. DE-AC08-90NV10845. The

opinions and interpretations discussed in the paper are not necessarily those of the

Department of Energy. I would also like to acknowledge the financial contributions

of Raytheon Services Nevada and Bechtel Nevada.

I would like to thank my thesis advisor, Dr. Richard H. French, who has been

an outstanding mentor throughout this study. His dedication and support have been

invaluable. Also, I would like to thank my thesis committee: Dr. Roko Andricevic,

Dr. David Weide, and Dr. Stanley Smith, for their assistance and advice.

There are several other people who have had significant impacts on the

completion of this thesis. I thank Dr. Jim O’Brien for providing the FL0-2D model

and for his assistance with the modeling; Dr. Stuart Rawlinson for his expertise as

a technical editor; Dennis Gustafson for his reviews; John Denny and Robert Diaz

for producing the AutoCAD drawings; Robert Bradford for producing the

GIS drawings; Shannon Parsons and Lynn Metcalf for being my friends throughout;

and Patrick Matthews for his support.

I wish to thank my family for their support and encouragement, especially my

parents and grandparents, who instilled in me the belief that I could do anything or

be anything that I chose. My grandfather always told me was that the most

important thing I could ever learn was to learn to think - he was right.

X V


CHAPTER 1

INTRODUCTION

Study of hydraulic and géomorphologie processes on alluvial fans using the

best available methods is essential to delineation of flood hazards and design of

flood control structures in the arid and semi-arid southwestern United States. As

communities have outgrown valley floors, urban development has progressively

moved onto alluvial fans, where evidence of pre-development large floods and

debris flows is apparent (French, 1987; O’Brien, 1993). Extensive development

results in a marked increase in the amount and seriousness of property damage

incurred from infrequent flow events.

Mitigation of flood hazards on alluvial fans is especially important due to

recent development of storage and disposal sites for hazardous and radioactive

materials within the southwestern United States. Low-level radioactive and

hazardous waste is disposed by shallow land burial on alluvial fan surfaces, or

stored above ground on these same surfaces. High-level radioactive waste is

proposed to be disposed at an underground repository at Yucca Mountain, Nye

County, Nevada. This high-level radioactive waste would be transported to the

repository by both rail and highway systems that cross alluvial fan surfaces.

1


2

Traditional standard deterministic hydraulic engineering methods to define

flood hazards and design mitigation may not be appropriate for alluvial fan flooding.

The Federal Emergency Management Agency (FEMA) (1985; 1991) described

alluvial fan flooding as "...characterized by high-velocity flows; active processes of

erosion, sediment transport, and deposition; and unpredictable flowpaths." In direct

response to a flood discharge, changes can occur in both channel geometry and

direction on alluvial fans. Thus, standard deterministic methods such as the HEC-2,

Water Surface Profiles model (United States Army Corps of Engineers

[USACE], 1990a), which assume a stable, fixed channel geometry, cannot be used

to assess flood hazards on alluvial fans.

Models for alluvial fan flooding incorporate uncertainty and may be

multi-dimensional. There are two approaches to uncertainty; stochastic and

deterministic. In the stochastic approach, unknowns are treated as unknowns;

uncertainty is reflected via probability distributions. In the deterministic approach,

unknowns are treated as knowns; realistic or conservative values are used.

Thus, in a deterministic model, a parameter value may be assigned as x, while in

a stochastic model, the parameter value may be uniformly distributed between

X, and X;.

One-dimensional models allow changes, in both time and space, to occur in

the vertical direction only. Two-dimensional models allow changes, in both time and

space, in both the vertical and lateral directions. Thus, a one-dimensional flood

hydraulic model will allow changes in channel depth, while a two-dimensional model


3

will allow changes in both channel depth and width. Two-dimensional models can,

therefore, simulate the process of a self-adjusting alluvial channel that alters both

channel depth and width in response to changes in discharge.

Adapting methods of Dawdy (1979), FEMA (1990a) developed a

one-dimensional, stochastic model for delineating regulatory flood hazard zones on

alluvial fans. Although the FEMA alluvial fan model (FEMA model) considers, to a

degree, both hydraulic and géomorphologie processes, several investigators (Fuller,

1990; O'Brien and Fullerton, 1990; Flood Control District of Maricopa County

[FCDMC], 1992) have suggested that available one- and two-dimensional,

deterministic models may provide better estimates for flood mitigation studies than

the one-dimensional, stochastic FEMA model.

Research to explore use of one-dimensional, deterministic models for alluvial

fan flooding suggests that these models can be used for this application (Mays and

Mushtaq, 1993). Flow conditions on alluvial fans are complex and require the

application of unsteady flow hydraulics. Cne-dimensional, deterministic models can

describe the propagation of unsteady flows on alluvial fans, but often

multi-dimensional flow analysis is needed.

Grindeland et al. (1990) have shown that two-dimensional modeling has

many advantages over one-dimensional modeling. Two-dimensional models can

incorporate: (1) the effects of complex fan topography and variable hydraulic

roughness over alluvial fan surfaces; (2) the hydraulic capacity of channels; (3) the

effects of flow obstructions and diversions; (4) flow attenuation; and (5) the effect


4

of varying sediment concentration on the flow hydraulics. In recent years,

development of two-dimensional, deterministic flood simulation models has

advanced as a result of; (1) a substantial increase in computer speed;

(2) automated data-file generation and digital terrain modeling; and

(3) advancements in numerical analysis (O’Brien et al., 1993). Computer and

software costs have also decreased, making two-dimensional models more readily

available to users.

Objective

This investigation compares a modified version of the one-dimensional,

stochastic FEMA model (French, 1992) with the one- and two-dimensional,

deterministic models, DAMBRK (Fread, 1984) and FL0-2D (O’Brien, 1995),

respectively, for use in alluvial fan flood mitigation studies. If the deterministic

models can be shown to provide better estimates of design peak discharges,

cost-effective methods using deterministic models can be developed for flood

hazard mitigation studies on transportation alignments.

Approach

Three alluvial fans are used in the comparison and evaluation of the

stochastic and deterministic models for use in alluvial fan flood mitigation studies

(Figure 1). These fans are crossed by Union Pacific Railroad (UPRR) alignments.

Two of the fans, UPRR1 and UPRR2, are located, respectively, in Clark County,

Nevada and San Bernardino County, California at the Nevada-California border


LIN C O LN COUNTYYUCCA MOUNTAIN

CLARK COUNTY

UPRR3

LAS VEGAS

LAKE MEAD

UPRR1

UPRR2

MILES50

Figure 1. Map of southern Nevada, showing locations of the UPRR1, UPRR2, and UPRR3 alluvial fans.


6

near Stateline, Nevada. The third fan, UPRR3, is located in Clark County, north of

Las Vegas, Nevada.

Géomorphologie, hydrologie, and hydraulic properties of the alluvial fans are

necessary input for the models. Hydrologie and hydraulic information used for the

UPRR1, UPRR2, and UPRR3 alluvial fans was from a previous study by Flippin and

French (1994). Géomorphologie information for the three alluvial fans along the

UPRR alignment was gathered through field investigations and study of topographic

maps and color aerial photographs.

The investigation consists of two parts: a comparison of model-generated

discharges with drainage structure capacities, and a risk analysis. The three

railroad alignments were originally evaluated by Flippin and French (1994) using the

modified-FEMA model developed by French (1992) for estimating peak discharges

at transportation alignments on alluvial fans. However, boundaries of the alluvial

fans are delineated differently in this investigation than delineated by Flippin and

French (1994), requiring that the railroad alignments be re-evaluated using the

modified-FEMA model.

Maximum capacities of the drainage structures along the railroad alignments

were estimated by Flippin and French (1994). The calculated drainage structure

capacities are compared with discharges calculated by the one- and

two-dimensional, deterministic models, DAMBRK and FL0-2D, respectively, and

the one-dimensional, stochastic modified-FEMA model to determine if any

model-generated discharges exceed respective drainage structure capacity.


7

The risk analyses of these structures follow the method used by Flippin and

French (1994). At each drainage structure, the return periods associated with the

modified-FEMA, DAMBRK and FL0-2D model-generated discharges are calculated.

Return periods, or recurrence intervals, are defined as the “...average interval of

time within which a flood of a given magnitude would be equaled or exceeded but

once” (Leopold et al., 1964). Calculated return periods are then used to solve for

the exceedance probabilities (US WRC, 1981). Exceedance probability is, thus, an

assessment of the probability that a flow of a specified magnitude has impacted the

respective drainage structure one or more times during the period of time that the

drainage structure has been in place.

For this investigation, it is assumed that if an exceedance probability is

50 percent or greater, then the associated model-generated discharge did occur.

However, modified-FEMA, DAMBRK, and FL0-2D i.iodel-generated discharges are

independent of drainage structure capacity: thus an exceedance probability of 50

percent or greater indicates that a drainage structure should have sustained

damage only when it occurs in conjunction with a model-generated discharge that

exceeds respective drainage structure capacity.

Application of Results

The one-dimensional, stochastic modified-FEMA model has generally

provided conservative results in previous flood assessment studies of alluvial fans

(Flippin and French, 1994). Although conservative results are desirable in hydraulic


8

engineering analyses, flood hazard mitigation designs based on overly conservative

results are not cost-effective. However, in the case of transporting high-level

radioactive waste on rail and highway systems crossing alluvial fan surfaces, design

costs must be weighed against risk and consequence costs.

Prevention of transportation alignment damage resulting in traffic

interruptions is a basic design criteria of any rail or highway system. Design costs

of the transportation alignment reflect a damage risk reduction. However, there is

a point at which design costs no longer produce the same measure of risk reduction

initially obtained. At that point, design costs must be weighed against risk and

consequence costs that will be incurred if the transportation alignment is damaged.

Public health and safety as well as environmental concerns are serious

considerations when transporting high-level radioactive waste on transportation

alignments crossing alluvial fan surfaces and warrant conservative flood hazard

mitigation designs. Consequences of a release of high-level radioactive waste due

to transportation alignment damage may justify large increases in design costs that

result in small increases in risk reduction. Use of one- and two-dimensional,

deterministic models may be a cost-effective method for estimating design peak

discharges for flood hazard mitigation and, therefore, may allow for more accurate

assessment of both design costs and associated risk for transportation alignments

crossing alluvial fans.


CHAPTER 2

LITERATURE REVIEW

FEMA Alluvial Fan Model

FEMA (1991) stated that if flowpaths below the active apex of an alluvial fan

cannot be predicted, the FEMA model must be applied to evaluate the 100-year

flood hazard. This model, a modification of the method proposed by Dawdy (1979),

relates probability of discharges at the apex to probability of channel depths and

flow velocities that occur on the alluvial fan.

According to Dawdy (1979), flood flow from the apex of a typical alluvial fan

does not spread evenly over the alluvial fan surface, but instead is confined to

flow-formed channels that carry flood waters from the apex to the toe of the alluvial

fan. The active apex is selected at the point where the flowpath becomes

unpredictable, and flow is no more likely to follow an existing channel than create

a new path. In the upper region of an alluvial fan, flow is confined to a single,

flow-formed channel where the channel depth and width are a function of the flow

itself. Flow is assumed to occur at critical depth and velocity as a result of steep

slopes associated with this upper region. FEMA (1985; 1991) modified the Dawdy

method to address multiple-channel regions of alluvial fans. As slopes decrease


10

toward the mid and distal parts of the alluvial fans, channel bifurcation can occur

resulting in a multiple-channel region. Dawdy (1979) did not incorporate a

multiple-channel region into his method.

Key assumptions of the FEMA model follow (French, 1987):

The location of the flood event channel on the alluvial fan surface is

random. A uniform probability is assumed, bounded by the edges of

the alluvial fan, that a channel passes through any given point on a

contour of the alluvial fan.

• Flow occurs in flow-formed channels. Subsequent erosion results in

these channels becoming well-defined across the surface.

° Incised channels do not exist prior to the flow event.

° Existing channel capacity is not adequate to convey the flow,

and overbank flooding occurs.

The width and depth of the channel are a function of discharge.

• Transmission losses are not considered.

On-fan precipitation (rainfall directly onto the alluvial fan surface) is

not considered.

• The alluvial fan is active (net deposition is occurring in both time and

space) and avulsions (channel migrations from one location to

another during a single event) are occurring.

• A Log-Pearson Type III (LP3) flood discharge frequency distribution

is available at the alluvial fan apex.


11

Limitations of the FEMA model have been widely discussed in the literature

(French, 1987; Hirschboeck, 1988; Fuller, 1990; Grindeland et al., 1990). In

addition, several other authors have recognized limitations, including:

The FEMA model is not a physical-based model. Flow depths and velocities

are not a function of alluvial fan topography, surface roughness, flow

obstructions, floodplain storage, on-fan precipitation, infiltration, or sediment

transport (O'Brien and Hyde, 1992). Alluvial fan topography is ignored, so

any existing channel system or development on the alluvial fan is not

considered (Mays and Mushtaq, 1993).

The 100-year peak discharge on the alluvial fan surface is not used (Mays

and Mushtaq, 1993). The peak discharge for various return periods at the

alluvial fan apex is the only parameter that determines the 1 0 0 -year flood

depth and velocity boundaries; on-fan precipitation or lateral inflows onto the

alluvial fan are ignored.

Edwards and Thielman (1984) suggested that normal depth flow regime

occurs on alluvial fans, rather than a critical depth flow regime assumed in

the FEMA model. Transitory periods of supercritical flow on steep alluvial

fans are common (French, 1987; Edwards and Thielman, 1984).

• The FEMA model should only be applied to idealized, uniform-topography

alluvial fans with no development (FEMA, 1991; FCDMC, 1992; O’Brien and

Hyde, 1992).


12

Flow is assumed to occur in self-formed, rectangular channels whose width

continues to expand until 5W/5d = -200, where 5W is the difference in width

of the flowpath, in feet, and 5d is the difference in depth of flow, in feet,

regardless of specific alluvial fan morphology (Dawdy, 1979; Magura and

Wood, 1980; Mays and Mushtaq, 1993).


CHAPTER 3

ALLUVIAL FAN FLOOD PROCESSES

Alluvial Fan Hydraulics

Alluvial fans are defined by FEMA (1990b) as

...geomorphological feature[s] characterized by a cone or fan-shaped deposition of boulders, gravel, and fine sediments that have been eroded from mountain slopes, transported by flood flows and then deposited on the valley floors, and which [are] subject to flash flooding, high velocity flows, debris flows, erosion, sediment movement and deposition, and channel migration.

Alluvial fan flooding is thus "...characterized by high-velocity flows; active

processes of erosion, sediment transport, and deposition; and unpredictable

flowpaths” (FEMA, 1985; FEMA, 1991). Unconfined overland flows, self-forming

channels, channel avulsions, and sediment transport all lend to the dynamic nature

of flooding on alluvial fans (O'Brien, 1993). (For a more detailed discussion of these

processes, see below. Difficulties and Limitations o f Mathematical Modeling of

Alluvial Fan Floods.) These hydraulic processes may be difficult to quantify, yet

must be accounted for to accurately delineate flood hazards and design subsequent

flood hazard mitigation. Alluvial fan flood flows should be modeled with the

one-dimensional model, stochastic of alluvial fan flooding developed by

13


14

FEMA (1990) or with appropriate one- and two-dimensional, deterministic models

that can account for the unique hydraulic processes on alluvial fans.

Difficulties and Limitations of Mathematical Modeling of Alluvial Fan Floods

Mapping Accuracy

Topographic information for flood modeling is commonly limited to available

United States Geological Survey (USGS) 7.5-minute topographic quadrangle maps.

These 1;24000-scale maps, with contour inten/als of either 20 feet or 10 meters,

may not provide sufficient topographic information, and may prove to be a limiting

factor in the accuracy of results in some of the more sophisticated deterministic

models.

Accurate delineation of alluvial fan boundaries is important in both stochastic

and deterministic models. Boundaries of coalescing alluvial fans are often difficult

to discern on a topographic map at 1:24000-scale. Also, information on channel

size may not be evident. Large channels near the alluvial fan apex will show clearly

on the maps, but topographic detail will not be seen farther downstream, as the

flowpath bifurcates into numerous small channels. This may prejudice the

topographic information whether model input is developed manually or by a

computer application. Extensive field investigations may partially compensate for

loss of topographic detail or additional topographic information may have to be

generated, usually at a high cost.


15

Unconfined Flows

Hydraulic processes on alluvial fans are different than in riverine channels,

where standard deterministic hydraulic engineering approaches assume stable,

fixed-channel geometries. On alluvial fans, channel geometry and direction can

change in direct response to a flood discharge, thus limiting use of conventional

empirical or backwater methods. Unconfined overland flows, or sheetflow, can

occur when channels continually self-adjust their widths in response to discharge

until channel banks erode and are overtopped by flow. Unconfined overland flow

occurs until the flow once again forms its own channels.

Channel Avulsions

Channel avulsions occur during a flood event when flow abandons one

channel and either follows or forms another channel (FEMA, 1990a). Sudden

deposition of sediment, a geologic structure, or other obstruction can cause;

(1 ) flow to overtop the channel banks; (2 ) flow to leave the channel by bank erosion;

or (3) a channel to be captured by another channel subsequent to bank erosion.

The probability of an avulsion occurring is accounted for by the avulsion coefficient

incorporated into the FEMA model. FEMA (1990) suggested the default value for

the avulsion coefficient be set to 1.5, representing a 0.50 probability of an avulsion

occurring during a flood event. The avulsion is assumed to occur during the peak

flood event at either the alluvial fan apex or at some location upstream of the point

of interest (French, 1992), and is therefore a conservative assumption.


16

Debris Flows and Mudflows

Debris flows are common on alluvial fans. Debris flows, often incorrectly

used synonymously with mudflows, are non-cohesive, non-viscous

hyperconcentrated sediment flows with energy dissipation occurring primarily

through dispersion (O'Brien and Hyde, 1992). Fifty percent or more of the particles

are larger than sand. Mudflows are non-homogeneous, non-Newtonian,

hyperconcentrated sediment flows (O'Brien and Hyde, 1992; O'Brien, 1993). Flow

behavior is controlled by viscous stress, fluid-matrix properties, and channel

geometry, slope, and roughness. Properties of mudflows change as they flow down

steep watershed channels or across alluvial fans. Sediment concentration by

volume is high, generally exceeding 40 percent, and may result in laminar flow.

The potential for debris flows is controlled by many factors (Rodine, 1974).

Lack of vegetation, common in the arid Southwest, is a primary factor for debris

flows. Vegetation can prevent soil movement down canyons, or stop debris flows

at an alluvial fan apex. The more sparse the vegetation, the higher the probability

that a debris flow will occur. Shear strength and unit weight of near-surface soils

are important debris flow properties, relating to consolidation, composition, and

material types. Geomorphic factors, including slope, watershed size, and thickness

of deposits, directly relate to the potential for debris flows. A larger watershed area

supplies a larger quantity of debris and a larger flood discharge, resulting in a

greater potential for debris flows (Zavoianu, 1985).


17

Supercritical Flow and Transient Flow Conditions

Dawdy (1979) and Magura and Wood (1980) stated that critical slope or

greater is the natural condition across the entire alluvial fan surface for the majority

of alluvial fans. Critical flow will occur when channel gradients approach or exceed

critical slope. Because the FEMA model assumes that alluvial fan flooding occurs

within flow-formed channels (French, 1987), any state of flow other than at critical

depth will cause the channel to self-adjust back to critical slope. For example,

supercritical flow will result in channel bank erosion creating a wider, shallower flow

and return again to critical depth (Dawdy, 1979). Therefore, supercritical flow is a

transitory phenomenon in natural alluvial channels, and is not a steady-state

condition (Dawdy, 1979; Magura and Wood, 1980).

Geology and Watershed Descriptions

UPRR1 and UPRR2: Lucy Gray Range

The UPRR1 and UPRR2 alluvial fans occur on the west flank of the

north-south trending Lucy Gray Range of southern Nevada on the

California-Nevada border (Figure 2). The range, with elevations to 2,000 feet

above the surrounding alluvium, is composed dominantly of Precambrian crystalline

rocks overlain locally by Tertiary volcanic rocks consisting of gravels, tuffs, breccias,

and andésite flows (Longwell et al., 1965). The Lucy Gray Range is separated

from the McCullough Range to the east by a narrow valley formed by the


18

'É Ê U Ê ^Ê I; i/.~ w r l " - ' ' - ' ̂ “ V UPRRI è7yÿl "r—UPRRI

APEf- r Ü \T ^ UPRR2APEX

Rooch

Figure 2. Map of region at Nevada-California border, near the UPRR1 and UPRR2 alluvial fans.


19

McCullough Fault, and is bounded to the west by the Roach Fault (Hewett, 1956).

The UPRR1 and UPRR2 alluvial fans are the dominant landforms within their

respective watersheds. Field investigations indicate vegetation density is

approximately 30 to 35 percent and 25 to 30 percent over the UPRR1 and UPRR2

alluvial fan surfaces, respectively.

The UPRR1 alluvial fan (apex location: lat 35°34'52"N., long 115°17'54"W.)

(Figure 3) was constructed by flood flows emanating from an approximately

26-square mile watershed within the narrow valley between the Lucy Gray and the

McCullough ranges. This valley is undeveloped, crossed only by a few unimproved

roads. The valley is filled with sediment originating from the surrounding mountains,

and its slope is relatively uniform. A narrow canyon through the Lucy Gray Range

funnels flow approximately 2 miles to the alluvial fan apex along the west flank of

the mountains. The average width of the canyon is approximately 1,000 feet,

narrowing to one constriction of 400 feet, with an average slope of 4.0 percent.

A symmetrical cone-shaped alluvial fan approximately 5 miles long is present

from the alluvial fan apex to the alluvial fan toe at the dry lake. The alluvial fan

extends radially for more than 12 miles with an average slope of 4.2 percent.

Alluvial material is medium sand to coarse gravel, with cobbles common and

boulders present. Study of alluvial deposits along exposed channel wall surfaces

show these sediments were deposited by mechanisms typical of alluvial fan

sedimentation: stream channel, sheetflow, and debris flow.



20

APEX:Lat: 35 34' 52’ N Long: Î15 iy 5 4 - w Elevation “ 3608 FT

2 6 2 *

UPRR1 ALLUVIAL FAN

LEGEND:

) ( DRAINAGE STRUCTURE

o DRAINAGE STRUCTURE NUMBER

BERM

UNION PACIFIC RAILROAD ALIGNMENTT

MODIFIED FROM USGS. 1985a and USGS, 1985b

F E E T

5000 10000

CONTOUR INTERVAL = 32.8 FT FIGURE 3



21

The uniform slope of the alluvial fan and lack of well-incised (e.g., 6 feet)

channels indicate long-term net aggradation of the UPRR1 alluvial fan. The valley

and canyon are sufficient sediment sources, providing alluvial material that is

flushed onto the alluvial fan during large rainfall events. This sediment supply,

combined with the steep slope of the alluvial fan, result in a present-day alluvial fan

surface dominated by shallow braided channels.

Even on this depositional alluvial fan surface, local incision and aggradation

are active geomorphic processes. Most recent geomorphic activity is limited to

erosion and deposition along channels. Desert pavement and desert varnish are

present on interfluves that are 1 to 4 feet higher than the channel beds. In the

southwestern United States, moderate to well-formed desert pavements and

varnishes are found typically on alluvial fan surfaces that are no younger than

10,000 years old (Bull, 1991; Christenson and Purcell, 1985). Thus, the presence

of desert pavement and desert varnish indicates that these areas have not been

disturbed by recent flow events, are inactive in terms of flow, and have stable

channels (Dorn et al., 1990). However, although inactive areas of the alluvial fans

are present, and large channels are absent, evidence of past large flows, including

debris flows and levees and large boulders in the proximal and mid-proximal parts

of the alluvial fan, indicates that geomorphic processes were different under past

climatic regimes.

The UPRR2 alluvial fan (apex location; lat 35°32'20"N., long 115°17'42"W.)

(Figure 4) has been constructed by flood flows emanating from a 4.5-square mile


APEX:Lat: 35” 32’ 20' N Long.: 115-17’ 42’ W Elevation = 3280 FT

.20.

Reproduced witli permission of ttie copyrigtit owner. Fudher reproduction protiibited wittiout permission.

UPRR2 ALLUVIAL FAN

35" 32’ 20’ N 3.: 115-17 42’ W ation “ 3280 FT

LEGEND

DRAINAGE STRUCTURE

DRAINAGE STRUCTURE NUMBER

BERM

UNION PACIFIC RAILROAD ALIGNMENT

MODIFIED FROM USGS. 1985a

40002000

CONTOUR INTERVAL = 32.8 FT

FIGURE 4


22


23

watershed within the Lucy Gray Range. Although most of the watershed consists

of bedrock, a large north-south trending valley has formed, with tributaries extending

east into the bedrock portions of the watershed. This valley has been filled with

sediment originating from the watershed, and has a relatively uniform slope of

4.4 percent. A narrow canyon, approximately 0.5 miles long, with an average width

of 500 feet and a slope of 4.5 percent, directs flow to the alluvial fan apex along the

west flank of the mountains.

Deposition at the alluvial fan apex has created a near-symmetrical

cone-shaped alluvial fan 3.5 miles long from the alluvial fan apex to the alluvial fan

toe at the dry lake. The alluvial fan extends radially for almost 2 miles with an

average slope of 4.7 percent. Alluvial material is medium sand to coarse gravel,

with cobbles and boulders present.

As with the UPRR1 alluvial fan, the uniform slope of the UPRR2 alluvial fan

and lack of well-incised channels indicate long-term net aggradation. Geomorphic

processes are similar to those described for the UPRR1 alluvial fan, creating an

alluvial fan surface with shallow braided channels, and interfluves that are

1 to 3 feet higher than the channel beds. These interfluves are capped with desert

pavement and desert varnish. The large extent of the desert pavement areas

demonstrates that recent large flood events have not occurred. However, evidence

of past large flood flows includes debris flows and large boulders in the proximal

and mid-proximal parts of the UPRR2 alluvial fan.


24

UPRR3; Las Vegas Range

The UPRR3 alluvial fan (apex location: lat 35°2T40"N., long 115°00'32"W.)

(Figure 5) is on the southeastern flank of the north-south trending Las Vegas Range

of southern Nevada, north of Las Vegas, Nevada (Figure 6 ). The range consists

primarily of the Bird Spring Formation, which includes sandstones, shales, and

limestones (Longwell et al., 1965). Gass Peak Thrust Fault is the major structural

feature of the range, culminating in Gass Peak (6,943 feet) (Longwell et al., 1965).

Flows emanating from a 4.8-square mile watershed within the Las Vegas

Range formed the UPRR3 alluvial fan. A valley is present along the bottom of the

long, narrow watershed, with a uniform slope of 6.0 percent. A narrow canyon,

1.3 miles long, with an average width of 1,000 feet and slope of 5.0 percent, directs

flow through the southeastern front of the range to the alluvial fan apex.

A symmetrical, cone-shaped alluvial fan 3.5 miles long is present from the

alluvial fan apex to a point where adjacent coalescing alluvial fans obscure the

shape. The maximum radial extent of the alluvial fan is approximately 2 miles,

where again adjacent coalescing alluvial fans limit the UPRR3 alluvial fan shape.

The average fan slope is 4.1 percent. Alluvial material is medium sand to coarse

gravel, with cobbles common and boulders present. Field investigations indicate

vegetation density is approximately 25 to 30 percent over the alluvial fan surface.

Unlike the UPRR1 and UPRR2 alluvial fans, where long-term net aggradation

is evident, the UPRR3 alluvial fan is in a net degradation mode. Most of the alluvial

fan surface is interfluves covered by surficial deposits with desert pavement and


1801

2700

2600

2400

2300

2200


25

APEX:Lat: 3 5 - 21’ 40’ N Long.: US’ 00’ 32’ W Elevation = 2900 FT

2700

2600

2400

2300

UPRR3 ALLUVIAL FAN

)(

o

LEGEND:

DRAINAGE STRUCTURE


BERM

_| I UNION PACIFICRAILROAD ALIGNMENT

MODIFIED FROM USGS, 1986

FKT3000 6000

CONTOUR INTERVAL = 20 FT

FIGURE 5



26

\ks'/ / -

# # # # :ï » 5 l l « «S ; i » î

# # # #

» i i

ÿ UPRR3

Figure 6. Map of region north of Las Vegas, Nevada, near the UPRR3 alluvial fan.


27

desert varnish. These interfluves are generally 1 to 3 feet higher than adjacent

channel beds that dissect these surfaces. Channels, to 10 feet in depth, extend

from near the apex to the mid-distal part of the alluvial fan along the western edge

of the alluvial fan. Deep dissection of older surfaces is the result of the alluvial fan

being starved of sediment. Erosion is also evident by the crenulation (irregular

shape) of the alluvial fan contours as viewed on a topographic map {Figure 5).

Hydrology

Precipitation

The primary sources of precipitation to southern Nevada are the Pacific

frontal systems, which generally occur from October to May, and the Great Basin

lows, which occur from April to June (Houghton et al., 1975). These low pressure

systems bring strong winds and moisture from the Pacific. Although the Pacific

fronts are more frequent, the Great Basin lows are the chief source of winter

precipitation because they generally remain stationary for several days

(Spaulding, 1985).

Summer precipitation, from July to September, which accounts for 25 percent

of annual southern Nevada precipitation (Spaulding, 1985), occurs as localized

thunderstorms. These high-intensity, short-duration storms are the result of

convection heating of air over the valleys and subsequent cooling of this air as it

moves over mountain ranges. Sources of moisture for these storms are subtropical

highs that push moist air masses up from the Gulf of Mexico and Gulf of California.


28

The distribution of precipitation over southern Nevada can be divided into two

zones based on the quantity of relative moisture (French, 1983). The western side

of southern Nevada falls within the moisture deficit zone, defined by a lack of winter

precipitation due to the rainshadow effect. The eastern side of southern Nevada

has excess moisture relative to the western side, brought about by receiving both

summer and winter precipitation. The UPRR1, UPRR2, and UPRR3 alluvial fans

all lie within the zone of excess precipitation (Figure 7).

Hydrologie Analysis

Hydrologie information for UPRR1, UPRR2 and UPRR3 alluvial fans is from

Flippin and French (1994). Peak discharges for the 100-, 10-, and 2-year apex

flows are in Table 1. These discharges were calculated using the HEC-1, Flood

Hydrograph Package model (USAGE, 1990b) by generally following methods

described in the Clark County Regional Flood Control District (CCRFCD) Manual

(1990).

Table 1. Peak discharges for the 100-, 10-, and 2-year alluvial fan apex flows.

ALLUVIAL FAN NAME

100-YRDISCHARGE

(cfs)

10-YRDISCHARGE

(cfs)

2-YRDISCHARGE

(cfs)

UPRR1 13,845 1,480 91

UPRR2 6,948 1,035 96

UPRR3 5,685 799 69


29

EXCESSZONETRANSITIONZONEDEFICITZONETonopah Piocho

Goldfiold •Calionto

AJamo

Mesquito

' Yucca \ 1* Mountain Lalhrop»Wells. • Indian Springs* UPRR3

Las Vega:Pah rump»

* UPRR1 (N . S e a rc h lig h t

UPRR2*

Figure 7. Hypothesized zones of precipitation in southern Nevada (modified from French, 1983).


CHAPTER 4

ALLUVIAL FAN FLOOD SIMULATION

Model Assumptions and Limitations

Model Features

FL0-2D (O'Brien, 1995) and DAMBRK (Fread, 1984) are both deterministic

models that solve unsteady flow equations using a finite-difference hydrologie

routing technique to solve the continuity and momentum equations. They differ in

that FL0-2D is a two-dimensional model that uses a diffusive wave approximation

for routing flood flows over unconfined surfaces, whereas DAMBRK is a

one-dimensional model that uses a dynamic wave routing technique to forecast

water surface elevations downstream of a breached dam. Detailed discussions of

the FL0-2D and DAMBRK models, including file preparation specifics and

difficulties, are presented below in FL0-2D and in DAMBRK: Dam-Break Flood

Forecasting Model, respectively.

The design method developed by French (1992) of estimating peak

discharges at transportation alignments on alluvial fans is a modification to the

FEMA model for delineating flood hazards on alluvial fans. A detailed discussion

of the FEMA model is previously presented in Chapter 2, FEMA Alluvial Fan Model.

30


31

A detailed discussion of the modified-FEMA model is presented below in

Modified-FEMA Model.

Availability/Assistance/Documentation

FL0-2D is a proprietary model, copyrighted in 1989 and 1993 by

J.S. O'Brien. The FL0-2D software is accompanied by a detailed user’s manual

(O’Brien, 1995). All other requests for assistance with the FL0-2D model have

been directed to J.S. O'Brien. The FL0-2D model is not commercially available;

however, it has been used in studies of alluvial fan flooding in Nevada, California,

and Utah.

DAMBRK is a public-domain model, distributed by the United States National

Weather Service. DAMBRK was last released on June 20, 1988, and is referred to

as DAMBRK '8 8 . The DAMBRK software is accompanied by a detailed user's

manual (Fread, 1991); however, DAMBRK is a complex model for dam-breach

analyses and additional assistance may be necessary. Additional requests for

assistance with the DAMBRK model have been directed to D.L. Fread. Although

DAMBRK was developed to forecast water surface elevations downstream of a

breached dam, the model has been used to study alluvial fan flooding in Arizona

(Mushtaq and Mays, 1991).

The modified-FEMA model (French, 1992) is not currently available on

computer software. The method involves intensive, iterative manual calculations

that may be supplemented by use of computer spreadsheets. However, the original


32

FEMA model is distributed as the FEMA FAN model (FEMA, 1990a) on computer

software, accompanied by a user's manual.

Computer Time

FL0-2D uses a computer-aided design and drafting (CADD) digital terrain

model (DTM) together with a preprocessor program to create the topographic

information for the alluvial fan model in FL0-2D format. Additional files required by

FL0-2D must be organized manually, but the free-format input is quick to enter into

the computer. Initiating the FL0-2D model is simple, but running the model can be

time-consuming depending on the available computer system (Table 2). Also,

computational time increases in simulations using a fine resolution grid system

(O’Brien et al., 1993).

Table 2. Computer run times for the FL0-2D and DAMBRK models of the UPRR1, UPRR2, and UPRR3 alluvial fans using three different computer systems (time In seconds).

486/33DX 586/60 586/100

FL0-2D DAMBRK FL0-2D DAMBRK FL0-2D DAMBRK

UPRR1 4782 35 1334 10 725 5

UPRR2 2391 35 682 10 362 5

UPRR3 10955 35 3088 10 1660 5


33

DAMBRK does not use a CADD-DTM system to create topographic

information for the alluvial fan model; cross-section development is done manually.

Only one input file is used for each DAMBRK model; however, the formatted input

data file must be manually entered into the computer. Initiating the DAMBRK model

is simple and running the model on any of three computer systems proved time

effective {Table 1).

FLO-2D

FLO-2D (O'Brien, 1995) is designed to route water floods and

hyperconcentrated water-sediment flows in two-dimensions over unconfined

surfaces. The model simulates channel-floodplain interaction, routing flow over

complex topography of varying roughness. For alluvial fan applications, the model

simulates primary hydraulic processes on the alluvial fan surfaces to predict the flow

hydraulics and area of inundation.

FL0-2D is a physical process-based model, allowing for enhanced simulation

by utilizing components, if necessary, such as overland flow, channelized flow, flow

obstructions, on-fan precipitation, infiltration, and sediment transport. This

deterministic model solves two-dimensional unsteady flow equations using a

finite-difference, diffusive wave approximation routing technique to solve the

continuity and momentum equations.


34

FL0-2D; Model Input

The following summary of the FLO-2D model is from information in O'Brien

(1993) and O'Brien (1995).

FL0-2D, written in FORTRAN 77, is a single executable program comprised

of a modular set of subroutines that predict flood hydraulics. Data files required to

run FL0-2D are generally simple, but can be labor-intensive to develop and can

contain data errors if done manually. To create a quick and error-free model, a

CADD-DTM program and preprocessor program can be used. The topographic

map of the area is digitized using the CADD program, then a grid system is overlaid

onto the map. From this grid, the grid node numbers, node coordinates, node

elevations, and node Manning n-values are exported from the CADD program to

another file. A FL0-2D preprocessor program, CADATA, is used to rewrite the data

from this file into the FL0-2D format. Additional files, discussed in the following

paragraphs, must be organized to contain information on system control,

hydrographs, physical processes, channel geometry, and other data.

FL0-2D is comprised of four main modular subroutines; Control, Floodplain,

Channels, and Physical Processes (Figure 8).

FLO-2D

CONTROL FLOODPLAINX

CHANNELS PHYSICAL PROCESSES

Figure 8. Diagram of the four main modular subroutines in FL0-2D (modified from O’Brien, 1995).


35

Control variables are contained in the CO NT. DAT file, the core of each model

(Figure 9). Floodplain data are included in the FPLAIN.DAT, ARF.DAT, and

MULT.DAT files (Figure 10).

The term "multiple-channel" (Figure 10) in the FL0-2D model was

derived because more than one channel can be assigned, if appropriate, for a

given grid element. It should not be confused with the more common usage of

“multiple-channel" that comes from the FEMA model, where the term is used to

describe the region of the alluvial fan below the point where channel bifurcation

occurs (FEMA, 1991). In the FL0-2D model, flow is conveyed in small channels

between grid elements flagged as multiple-channel elements, and is assumed to

stay in the channel until it reaches a grid element that is not flagged as a

multiple-channel element. FL0-2D routes flow through shallow, rectangular

channels until the flow depth exceeds the specified maximum channel depth. The

channel then widens by the user-specified fixed channel width adjustment

increment, thus decreasing the flow depth below the maximum depth value. If the

flow depth does not decrease below the maximum value, this iterative process

continues until the flow can be routed through the channel without exceeding the

specified depth. Overbank flooding does not occur, and shorter times to peak and

higher magnitude peak flows are predicted.


36

CONTROL

CONT.DAT

SYSTEM CONTROL Initial timestep Simulation time

GRID PARAMETERS Number of grid elements Length o f grid sides Depth tolerances DATA ALTERATIONS

Manning n-values Area reduction factors Froude numbers

PHYSICAL PROCESSES OPTION SWITCHES Multiple channel flow Infiltration On-fan precipitation Sediment transport

Figure 9. Diagram of control variable data in FL0-2D (modified from O’Brien, 1995).

MULT.DATARF.DAT

FLOODPLAIN

FPLAIN.DAT

AREA REDUCTION INFORMATION Grid element numbers Area reduction factors Width reduction factors

GRID SYSTEM INFORMATION Grid element numbers Manning n-values Grid elevation

OVERLAND FLOW vs MULTIPLE CHANNEL FLOW Grid element numbers Channel width Maximum channel depth Manning n-values Number of channels per grid

Figure 10. Diagram of floodplain data in FL0-2D (modified from O’Brien, 1995).


37

The FL0-2D multiple-channel option simulates the process of a self-adjusting

alluvial channel that increases width with increasing discharge. On steep-sloped

alluvial fans, when bankfull discharge is reached, alluvial channels tend to

adjust their cross-sections through bed scour and bank erosion to enhance their

conveyance capacity and reduce overbank flow. After the peak discharge has

passed, and the flow depth recedes to less than one foot, flow is usually confined

to only a portion of the expanded channel. In the same way that the channel is

expanded, the model will decrease the channel width by the channel width

adjustment increment using the same iterative process until the original specified

channel width is reached.

Main channel system data are included in the CHAN.DAT and

BRIDCUL.DAT files, if applicable (Figure 11).

CHAN.DAT

CHANNELS

BRIDCULV.DAT

CHANNEL INFORMATION Grid element numbers Channel geometry Manning n-values

BRIDGE/DRAINAGE STRUCTURE INFORMATION Grid element numbers Hydraulic coefficients

Figure 11. Diagram of main channel system data in FL0-2D (modified from O ’Brien, 1995).


38

Simulation of the flood can be enhanced by including any number of the

previously mentioned physical processes. These physical processes are in the

FPINOUT.DAT, CINOUT.DAT, RAIN.DAT, INFILDAT, and SED.DAT files

(Figure 12).

PHYSICAL PROCESSES |

CHANNEL INFLOW/OUTFLOW Channel inflow grid element numbers Channel outflow grid element numbers

INFILDAT

INFILTRATION Grid elements Hydraulic conductivity Capillary suction head Initial abstraction Initial soil saturationSED.DAT

1 SEDIMENT TRANSPORT I Sediment sizeI Sediment gradation coefficient I Specific gravity of sediment I Viscosity information ! Yield stress information

RAIN.DAT

CINOUT.DAT

FPINOUT.DAT

ON-FAN PRECIPITATION Rainfall time Rainfall distribution Rainfall abstraction

FLOODPLAIN INFLOW/OUTFLOW Hydrograph inflow grid element numbers Outflow grid elements numbers

Figure 12. Diagram of physical processes data in FL0-2D (modified from O'Brien, 1995)


39

FL0-2D: Alluvial Fan Models

Inflow hydrographs used in this study were previously developed in a study

by Flippin and French (1994) using the HEC-1 model (USAGE, 1990b) (see

previous discussion in Chapter 3, Hydrologie Analysis). Two versions of each

alluvial fan FL0-2D model were developed. The first versions assumed overland

flow for the entire alluvial fan surface and did not incorporate the FL0-2D

multiple-channel option. These models were discredited (O’Brien, [personal

communication], 1994) due to the unrealistic length of time for the unconcentrated

overland flow to move from the alluvial fan apexes to the railroad alignments. The

second versions, described in the following paragraphs, applied a more realistic

multiple-channel scenario, allowing flow to pass between grid elements in small rills

and gullies or in shallow, rectangular channels. The FLO-2D multiple-channel

scenario was used to simulate flooding of the UPRR1, UPRR2, and UPRR3 alluvial

fans. FL0-2D model input files are found in Appendix I.

The CADD-digitized alluvial fans were discretized into grid elements. Each

grid element was assigned a number and characterized by the contiguous grid

elements in the four compass directions, the average Manning n-value of the grid

element, and the average ground-surface elevation of the grid element. An inflow

node was selected at each alluvial fan apex; outflow nodes were selected at the

drainage structures along the railroad alignments.

The UPRR1 and UPRR3 alluvial fans were divided into two regions based

on field investigations: the upper reaches of the alluvial fans near the apexes with


40

large channels, and the lower reaches of the alluvial fans with small channels.

Field investigations determined that channel dimensions did not vary across the

UPRR2 alluvial fan; therefore, only one set of parameters was used to describe the

entire UPRR2 alluvial fan surface in this model. FL0-2D grid parameters are in

Table 3.

The UPRR1 and UPRR3 alluvial fan boundaries were delineated so as to

exclude any drainage structure that was possibly being impacted by flow from

adjacent alluvial fans. Although three drainage structures exist along the railroad

alignment within the UPRR2 alluvial fan boundaries delineated in this study, the

western-most drainage structure could be impacted by flows from an adjacent

alluvial fan. Therefore, only the two eastern drainage structures were analyzed.

However, although the third structure was not analyzed, it was included as an

outflow node because it does allow flow to pass beneath the railroad alignment.

Its exclusion as an outflow node would not be representative of actual drainage

conditions at the railroad alignment.

FL0-2D; Model Results

The FL0-2D computer program provides simple output files for the alluvial

fan analyses. However, the volume of output data generated by the model is

overwhelming unless summaries are used. A post-processor program, called

OUTNQ, prints a summary of the maximum discharge and time of peak for each of


41

Table 3. FL0-2D grid parameters for the UPRR1, UPRR2 and UPRR3 alluvial fan models.

FLO-2D Parameters UPRR1 UPRR2 UPRR3

Number of Grid Elements 2728 1209 2916

Grid Element Size 400 feet 200 feet 200 feet

Initial Manning n-value 0.06 0.05 0.05

Upper Lower Reach Reach

ChannelReach

UpperReach

LowerReach

Number of Multiple-Channels per Grid Element 1 1 1 1 1

Maximum Channel Depth 3 feet 2 feet 4 feet 4 feet 2 feet

Initial Channel Width 100 feet 50 feet 50 feet 50 feet 25 feet

Channel W dth Adjustment Increment 5 feet 5 feet 5 feet 5 feet 5 feet

Multiple Channel Manning n-value 0.05 0.04 0.05 0.05 0.04

the outflow grid elements. FL0-2D model output summary files are found in

Appendix II. In addition, this post-processor program creates a discharge

hydrograph for each outflow element. Maximum depth and velocity results are in

output files DEPTH.OUT and VELOC.OUT, respectively.

Separate graphic displays of the maximum depths and maximum velocities

plotted across the digitized topographic map of the alluvial fan are automatically

generated and displayed at the end of each simulation. These graphics can be

reproduced later with another post-processor program, called MAXPLOT. Other

post-processor programs exist in the FL0-2D computer program, but were not used

in this study.


42

Results of the FL0-2D models of the UPRR1, UPRR2, and UPRR3 alluvial

fans are shown in Table 4. Model results did not analyze whether the drainage

structures were of sufficient size to convey these discharges. FL0-2D velocity and

depth results are measured at the drainage structures.

FL0-2D: Model Discussion

The FL0-2D model can account for several physical processes, including

sediment transport, on-fan precipitation and infiltration, when simulating flow over

alluvial fan surfaces. However, the FL0-2D models did not include these options

because neither the DAMBRK nor modified-FEMA models has the capability to

incorporate these physical processes. For example, sediment bulking of the flood

hydrograph that would increase the peak discharges at the drainage structures was

not included in any of the FL0-2D models because the DAMBRK and modified-

FEMA models do not have the ability to address sediment transport.

On-fan precipitation was not modeled by FL0-2D because the other models

do not have this ability. The assumption of no on-fan precipitation leads to a

less-conservative modeling approach in estimating peak discharges. In one

scenario, storms advancing from the alluvial fan toe to the apex, would cause on-fan

precipitation to precede precipitation in the watershed above the alluvial fan apex.

The alluvial fan would be partially saturated prior to flood flows emanating from the

apex upstream of the alluvial fan surface, resulting in a decrease in infiltration

losses on the surface. A second scenario would have the storm tracking from the


43

Table 4. Results for the FL0-2D models of the UPRR1, UPRR2, and UPRR3 alluvial fans.

STRUCTURE DISCHARGE(cfs)

VELOCITY(ft/sec)

DEPTH(ft)

UPRR11 691 6.14 1.37

2 940 6.35 1.95

3 1015 7.92 2.00

4 1023 7.93 2.00

5 652 7.41 1.76

6 1088 6.50 2.00

7 1312 7.44 1.48

8 1769 7.58 2.00

9 1338 6.96 2.00

10 915 6.83 2.00

11 330 4.64 0.77

12 26 2.54 0.22

UPRR3

13A 684 3.25 2.00

13B 684 3.25 3.00

14 459 6.95 1.86

15 272 4.20 0.60

16 307 4.62 1.11

17 540 7.10 2.00

18 1006 2.10 2.00

UPRR2

19 3115 9.19 2.67

20A 2924 10.10 3.22

20B 2924 10 10 3.22


44

watershed above the alluvial fan apex out of the mountain front onto the alluvial fan

surface. The result would be continual bulking of the hydrograph as the flood flow

moved downstream. In either scenario, inclusion of on-fan precipitation would

result in increased runoff, and thus increased peak discharges at downstream

drainage structures.

Infiltration on the alluvial fans has the effect of decreasing peak discharges

and altering their times of arrival at the drainage structures. FL0-2D simulates

infiltration using the Green-Ampt equation (O’Brien and Fullerton, 1990;

O’Brien, 1995). Other computer programs used in this study cannot account for

infiltration losses, and thus this process was not modeled. The FL0-2D models

would be difficult to develop by including the infiltration process because hydraulic

conductivities across the alluvial fan surfaces would have to be measured. For

simplicity, a uniform set of infiltration parameters can be selected for each entire

alluvial fan surface. However, infiltration is recognized to vary across alluvial fans

for many reasons, including near-surface calcrete, differential soil development,

and varying vegetation types and patterns. Any attempt to uniformly define

infiltration introduces more uncertainty into the model.

The DAMBRK model incorporates Manning n-values into the computations,

as does the FL0-2D model. Selected Manning n-values for the alluvial fans were

confirmed by the FLO-2D model. Adjustments to the Manning n-values as the

Froude number was automatically adjusted were recorded in an output file,

ROUGH.OUT. This file lists the initially assigned Manning n-value, the maximum


45

Manning n-value reached during the computation, and the final Manning n-value

for each grid element where an adjustment occurred. In the UPRR1 alluvial fan

model, where the n-values initially varied between the upper and lower alluvial fan

reaches. Manning n-values ranged from 0.04 (rare) to greater than 0.06 (common).

In the UPRR2 alluvial fan model, where a Manning n-value of 0.05 was used for

the entire alluvial fan surface, the Manning n-values generally ranged from

0.05 to 0.055. In the UPRR3 alluvial fan model, where the n-values initially varied

between the upper and lower alluvial fan reaches, the Manning n-values were

similar to the initially assigned lower reach Manning n-value of 0.04, generally

ranging from 0.040 to 0.045. Only rarely was an adjustment made to an upper

reach grid element that had been initially assigned a Manning n-value of 0.05.

The modified-FEMA model (French, 1992) assumes that flow is always

critical; however, both the DAMBRK and FLO-2D models distinguish between

subcritical and supercritical flow regimes on alluvial fan surfaces. In the FL0-2D

model, transitory supercritical flow on alluvial fans is dealt with in the flow analyses

by specifying a maximum value of 0.99 for the Froude number. The flow regime

is thus limited to subcritical flow. As the model routes flow through a channel, if the

Froude number exceeds the maximum value, the corresponding Manning n-value

is increased by 0.001 for that grid element at that timestep, thus decreasing the

Froude number. If the Froude number does not decrease below the maximum

value, the iterative process continues until the flow can be routed through the

channel without exceeding the specified maximum Froude number. The flow


46

regime is therefore limited to subcritical flow, with short periods of critical flow when

the Froude number approaches 1.0.

DAMBRK: Dam-Break Flood Forecasting Model

DAMBRK (Fread, 1984) was designed to forecast water surface elevations

downstream of a breached dam. This deterministic model solves one-dimensional,

unsteady flow equations using a finite-difference, dynamic wave routing technique

to solve the continuity and momentum equations.

The DAMBRK model offers numerous features that aid in simplifying the

application of the model to alluvial fans (Mays [personal communication], 1995);

• initial conditions are automatically computed with gradually varied

steady flow equations;

variable timesteps;

• variable reach lengths are allowed between selected cross-sections;

• additional cross-sections can be added by interpolation;

• automatic numerical fixes are made by changes to the timestep or

distance between interpolated cross-sections;

channel expansion or contraction losses are accounted for; and,

twelve different routing options are available; for alluvial fan

modeling, the subcritical, supercritical, or mixed flow (both subcritical

and supercritical flow) option should be used.


47

DAMBRK: Model Input

For use in alluvial fan modeling, the basic input requirements into DAMBRK

are as follows:

hydrograph (discharges, ordinates, interval);

routing option (subcritical, supercritical, mixed flow);

number of cross-sections;

cross-section locations;

cross-section elevations;

Manning n-values; and,

minimum distance between cross-sections for computations.

DAMBRK allows for up to 100 hydrograph ordinates to be entered into the

model (Fread, 1984). The inflow hydrograph is applied at the upstream

cross-section, or in the case of alluvial fans, at the apex. Although flow on an

alluvial fan is usually intermittent, so that the inflow hydrograph begins with zero

discharge, an initial steady, nonuniform flow is required by DAMBRK, so that at

time zero the entire channel has a steady-state flow. Four inflow values at four

corresponding time intervals were applied by Mushtaq and Mays (1991) using

DAMBRK to model alluvial fan flooding. However, only one of the inflow values,

the peak discharge, was from an actual hydrograph. Values for the remaining

three time intervals were developed as the minimum amount of flow necessary to

keep the model running.


48

DAMBRK has the capability of simulating twelve different flow options.

Appropriate options for alluvial fan flooding are either subcritical or supercritical

dynamic routing of the hydrograph. The algorithm used in DAMBRK’88 allows for

simulation of both subcritical and supercritical flows ("mixed flow") that occur and

may change from one regime to the other in both time and space. Computational

instabilities occurred in the previous algorithm when flow passed through critical

depth from one regime to the other (Fread, 1991).

A maximum of 200 cross-sections can be used in each DAMBRK model

(Fread, 1991). This total includes selected cross-sections entered into the input

file and cross-sections that the model interpolates between the selected

cross-sections. Each cross-section is defined by its distance downstream of the

inflow point, and by a maximum of eight elevation-top width sets. Manning

n-values are required corresponding to each elevation-top width set within each

selected cross-section. These values can vary to be representative of the

roughness within each elevation-top width set of the selected cross-sections.

Cross-sections generated by DAMBRK are interpolated at a variable

user-defined distance. Ax, between each set of selected cross-sections

(Fread, 1991). These distances can be decreased to provide detail between

selected cross-sections or increased where detail is not needed. Where the slopes

are steeper than the assumed normal channel slope or where abrupt changes in

slope occur, typical of alluvial fans, interpolated cross-sections allow the model to

run without computational instabilities occurring between reaches (Mays [personal


49

communication], 1995). If the Ax distance is too long, a convergence error can

occur and the model will terminate. Stability is obtained by decreasing the

Ax distance between selected cross-sections; therefore, increasing the number of

interpolated cross-sections. DAMBRK output will list optimized Ax distances for

each reach, and will use a combination of user-defined and optimized Ax distances

to avoid convergence errors and to meet expansion or contraction, or both, criteria

(Fread, 1991). In subsequent models, the user can substitute the optimized

Ax distances as the user-defined Ax distances, and DAMBRK may select new

optimized Ax distances.

DAMBRK; Alluvial Fan Models

Inflow hydrographs used in this study were previously developed in a study

by Flippin and French (1994) using the HEC-1 model (USAGE, 1990b) (see

previous discussion in Chapters, Hydrologie Analysis). From these hydrographs,

ordinates were selected as the apex inflow values for each model. Ideally, these

four ordinates (Mushtaq and Mays, 1991) would be chosen as the 2-, 4-, 6-, and

8-hour discharges, then shifted to represent the time zero, 2-, 4-, and 6-hour inflow

values, respectively. However, this method did not provide enough flow to keep the

models running without errors. To represent the time zero, 2-, 4-, and 6-hour

discharges in the UPRR1 alluvial fan model, the 3.5-, 4-, 5-, and 6-hour discharges

were used; in the UPRR2 alluvial fan model, the 2-, 3-, 5-, and 6-hour discharges

were used; and in the UPRR3 alluvial fan model, the 3-, 5-, 7-, and 9-hour


50

discharges were used. Although this method may not be ideal, it is advantageous

because actual discharges from the hydrographs were used rather than the

minimum flow values necessary to keep the models running. Peak discharges for

the UPRR1 and UPRR3 alluvial fan models occur at the 2-hour ordinates: the peak

discharge for the UPRR2 alluvial fan model occurs at the 4-hour ordinate.

DAMBRK model input files are found in Appendix III.

Although critical slope, and thus critical depth, is assumed to exist on most

alluvial fans (Dawdy, 1979), transitory periods of supercritical flow do occur. The

mixed flow option was chosen for all cases in this study to allow transitions

between subcritical and supercritical flow to occur without causing computational

instabilities during the routing solution of flow down the alluvial fans.

Cross-sections of the alluvial fans were selected to define the

geomorphology of each alluvial fan. Cross-sections were taken along the alluvial

fan contours, rather than as straight lines such as those used in defining a channel

cross-section. The average length of the contour is thus the width of the

cross-section. Each cross-section is defined by its distance downstream of the

alluvial fan apex, and by a maximum of eight elevation-top width sets. The first

cross-section was selected at the alluvial fan apex, with subsequent downstream

cross-sections selected at either regular intervals or where the alluvial fan

morphology changed significantly. One or two cross-section locations were

selected to best-fit the railroad alignment on each alluvial fan. Selected

cross-sections were continued to locations just downstream of the railroad


51

alignments. The UPRR1 alluvial fan was initially defined by sixteen cross-sections;

the UPRR2 alluvial fan was initially defined by nine cross-sections; and the UPRR3

alluvial fan was initially defined by thirteen cross-sections.

Manning n-values corresponding to each elevation-top width set within each

cross-section were held constant for each specific alluvial fan model. Manning

n-values of 0.06 for the UPRR1 alluvial fan, and 0.05 for the UPRR2 and UPRR3

alluvial fans, were selected based on field investigations and on results generated

by FL0-2D in this study verifying these values (see previous discussion in

FL0-2D: Model Discussion).

DAMBRK: Model Results

The DAMBRK model output lists discharges for each selected and

automatically interpolated cross-section. However, in some cases, drainage

structures were not located exactly on one of these cross-sections. In these cases,

the location of each drainage structure downstream of the alluvial fan apex was

interpolated. This was done by measuring the alluvial fan contour width at the

specific drainage structure, and comparing this to contour widths of the selected

cross-sections initially input into each model. One selected cross-section was

chosen having a slightly greater width and one selected cross-section was chosen

having a slightly lesser width. Knowing that the selected cross-sections are

defined by the length downstream of the alluvial fan apex, the length downstream

of the alluvial fan apex to the specific drainage structure can be interpolated. This


52

interpolated length is then compared with the model output that lists downstream

distances for all cross-sections with corresponding maximum discharges. The

interpolated length downstream of the alluvial fan apex for the specific drainage

structure is assumed to best-fit one of the listed downstream distances of the

output file. The corresponding maximum discharge of this chosen downstream

distance is thus assumed to be the maximum discharge for the contour width at the

specific drainage structure.

However, the DAMBRK models produce maximum discharges for the entire

width of the cross-sections, assuming that the cross-sections represent true

channels. The railroad alignments act as flow obstructions, with only a few finite

width drainage structures with adjacent upstream berms allowing the flow to pass

through the railroad alignments. The model output needs to be translated from

simulating an entire channel width, to simulating the railroad alignment with finite

drainage structures. At each drainage structure, the width between peaks of

adjacent upstream berms was divided by the entire contour width of the alluvial fan

at that location to calculate the percentage of the alluvial fan contour width that

allows flow to pass through the railroad alignment. The total discharge listed in the

model output for that cross-section location on the alluvial fan was then multiplied

by this percentage to calculate the volume of flow that would be concentrated by

the upstream berms into the drainage structure. For example, at a cross-section

where the alluvial fan contour width was 10,000 feet and the width of the opening

between the upstream berms was 500 feet, the actual percentage of the alluvial


53

fan contour width that could convey flow would be 5 percent (Figure 13). If the

model output indicated that at this cross-section the maximum discharge was

3,600 cfs, the actual percentage of the total discharge that could be concentrated

by the upstream berms into the drainage structure would be 180 cfs. It is assumed

at each cross-section that either flow would be concentrated between upstream

berms, as is 5 percent of the flow in the previous example, or would continue to

flow unobstructed down the alluvial fan, as the other 95 percent of the flow does.

DAMBRK model output files and discharge calculations are found in Appendix IV.

Results of the DAMBRK models of the UPRR1, UPRR2, and UPRR3 alluvial

fans are in Table 5. Calculations only determined the discharge that could be

concentrated into the drainage structures by berms; it did not analyze whether the

drainage structures were of sufficient size to convey this discharge. DAMBRK

velocity and depth results are measured at the upstream berms.

DAMBRK: Model Discussion

Although DAMBRK is a complex model for dam-breach analyses, its

application for alluvial fans is relatively simple. Necessary data measurements of

the alluvial fans from topographic maps were more time-consuming than

developing the actual models. The initial hydrograph conditions also took time to

develop using a trial-and-error approach in selecting appropriate discharges.

Common difficulties encountered while developing DAMBRK models (Mays

[personal communication], 1995) include data errors, data entered incorrectly.


54

FanA p ex

FanBoundary

T o p o g ra p h icC ontours

500 ft RailroadAlignment

B erm

Figure 13. Schematic for DAMBRK volume calculation.


55

Table 5. Results for the DAMBRK models of the UPRR1, UPRR2, and UPRR3 alluvial fans.


VELOCITY(ft/sec)

DEPTH(ft)

UPRR1

1 782 1.46 2.08

2 421 1.46 2.08

3 366 1.58 1.40

4 748 1.55 1.69

5 547 1.53 1.54

6 1057 1.56 2.10

7 859 1.56 2.10

8 618 1.55 1.69

9 713 1.63 1.82

10 861 1.64 2.22

11 689 1.64 2.22

12 1103 1.63 1.82

UPRR3

ISA 566 3.00 1.51

13B 566 3.00 1.51

14 531 2.56 1.38

15 472 2.49 0.39

16 524 2.45 0.73

17 804 2.40 0.24

18 1105 2.40 2.21

UPRR2

19 1636 2.59 0.88

20A 2351 2.57 0.29

208 2351 2.57 0.29


56

selection of an inappropriate flow option, or selected Ax distances are too large.

Other difficulties encountered in this study included problems developing the initial

hydrograph conditions and the limitation of only a maximum of 200 cross-sections

per model.

Trial-and-error was used to select the appropriate discharge values for the

time zero, 2-, 4-, and 6-hour initial hydrograph conditions. In some models, this

was relatively quick and easy to do; in others, it took several attempts to select the

appropriate hydrograph ordinates that allowed the model to run. The limitation of

a maximum of 200 cross-sections per model was the greatest difficulty

encountered. On an alluvial fan with slopes as steep as five percent, the

Ax distance needs to be short to avoid computational instabilities within the model.

However, decreasing the Ax distance means increasing the number of interpolated

cross-sections in each model. The minimum Ax distance in all of the alluvial fan

models is 0.01 miles. When this Ax distance is used between all of the selected

cross-sections, more than 200 cross-sections are produced, terminating the model.

Trial-and-error attempts were made to increase the Ax distance between

specific selected cross-sections, where appropriate, in order to decrease the total

number of cross-sections. If an inappropriate Ax distance is chosen, the model will

automatically select an optimal Ax distance and use that value rather than the

user-defined value. This iterative process continues until appropriate Ax distances

are chosen between all selected cross-sections and the total number of

cross-sections for each model does not exceed 200. A total of 200 cross-sections


57

is used in the UPRR1 alluvial fan model; 165 cross-sections are used in the

UPRR2 alluvial fan model; and 199 cross-sections are used in the UPRR3 alluvial

fan model.

Modified-FEMA Model

Modified-FEMA Model: Model Input

In the modified-FEMA model developed by French (1992), in addition to the

FEMA equation (FEMA, 1990a), a second term is added to account for the

distance behveen peaks in berms along the alignment length (Figure 14). The

modified equation (1) becomes

( 1)

where T = return period, in years; 3 = 9.41 in the FEMA single-channel region and

3 = 35.8 in the FEMA multiple-channei region; A = the avulsion coefficient,

assumed to be 1.5; C = the transformation coefficient, defined below; = the

alluvial fan contour length (width) at the drainage segment, in feet; = the length

of the drainage segment, in feet; P, = probability from the transformed

LP3 deviate; and Pg = probability from the untransformed LP3 deviate.

The LP3 untransformed and transformed parameters, including the

LP3 deviates, are calculated using the 100-, 10-, and 2-year discharges at the

1 [ 3AC]P, +

' w ;

T I w j1


58

FanApex

RailroadAlignment

BermFanBoundary

TopographicContours

Figure 14. Schematic of an alluvial fan, with contour width and drainage berm width defined.


59

alluvial fan apex. These parameters are then used to calculate the transformation

coefficient, C.

The LP3 untransformed parameters include the skew coefficient, G,

standard deviation, S, and mean, x.

The untransformed skew coefficient equation (2) is;

- 2 .5 + 3 .1 2log(Qioo/Qio)

log(Q,o/Û2)(2)

where Q,oo = 100-year discharge at the alluvial fan apex, 0 ,0 = 10-year discharge

at the alluvial fan apex, and 0 ; = 2-year discharge at the alluvial fan apex.

The untransformed standard deviation equation (3) is:

S ='og(Qioo/Q2) (3)

where Kqoi = frequency factor for the 100-year event, and Kqs = frequency factor

for the 2-year event. The frequency factor varies with exceedance probability and

the skew coefficient, and is determined using “Appendix 3: Table of K Values"

found in US WRC (1981).

The untransformed mean equation (4) is:

x = l o g ( Q . ) - K - . S (4)


60

The LP3 transformed parameters include the skew coefficient, Gj, standard

deviation, S .̂ and mean, z.

The transformed skew coefficient equation (5) is;

G , = G (5)

The transformed standard deviation equation (6) is;

S =' _ K ]

0.5

(6)

where A and a are defined by equations (7) and (8), respectively.

A = (7)

a =G S j

0.92 (8)

Reproduced witfi permission of the copyright owner. Further reproduction prohibited without permission.

61

The transformed mean equation (9) is;

z =m 'A 'V a

(9)

where m is defined by equation (10).

m =x - ( 10)

If the untransformed skew coefficient, G, is equal to zero, then the

transformation coefficient equation (11) is;

C = e x p [(0 .9 2 )x + (0 .4 2 )S = ] ( 11)

If the untransformed skew coefficient, G, is not equal to zero, then the

transformation coefficient equation (12) is;

C = ̂ a ''

exp (0 .9 2 m ) ( 12)

where a is defined by equation (13).

a ‘ 2 ̂

G S(13)


62

To determine P, and P̂ values, the transformed LP3 deviate, K,, and

untransformed LP3 deviate, K;, must first be calculated using equations (14) and

(15), respectively.

The transformed LP3 deviate equation (14) is:

log(Q ) - z (14)

The untransformed LP3 deviate equation (15) is:

iog(Q ) - X (15)

After calculating K, and K;, P, and Pj are interpolated from “Appendix 3:

Table o fK Values," found in US WRC (1981).

Therefore, for a specified discharge, Q, with the untransformed skew

coefficient, G, standard deviation, S, and mean, x, and the transformed skew

coefficient, G ,̂ standard deviation, S ,̂ and mean, z, known, the probabilities,

Pi and Pj, can be calculated by determining the transformed and untransformed

LP3 deviates, K, and K ,̂ respectively, associated with the probabilities. The

LP3 parameters are included in equation (1) to solve for the return period.


63

Modified-FEMA Model: Alluvial Fan Models

In the modified-FEMA model application, the 100-year discharge at each

drainage structure, hereafter referred to as the 1 0 0 -year structure discharge, is

calculated. A trial-and-error method is used to determine the 100-year structure

discharge. For each drainage structure, an arbitrary discharge is used in

combination with the LP3 parameters to calculate the corresponding return period.

If the return period is not equal to 100 years, another discharge is selected and its

return period calculated. This process continues until a discharge is found that

produces a 1 0 0 -year return period.

Modified-FEMA model calculations for the 100-year structure discharge at

each of the drainage structures are found in Appendix V. An example of the

modified-FEMA model calculation method for the 100-year structure discharge at

drainage structure 1 is provided here.

Given:

UPRR1 alluvial fan apex discharges:

Q,oo = 13875 cfs, Q,o = 1480 cfs, and Qg = 91 cfs.

UPRR1 railroad alignment in FEMA multiple-channei region:

3 = 35.8.

• Avulsion coefficient:

A = 1.5.

• At drainage structure 1 :

Ws = 2600 feet and Wc = 42600 feet.


64

Equations (2), (3), and (4) are solved to determine the LP3 untransformed

parameters:

G = 0.0,

S = 0.94, and

x= 1.96.

Equations (5), (6 ), and (9) are solved to determine the LP3 transformed

parameters:

G, = 0.0,

Sz = 0.94, and

z = 2.77.

The untransformed skew coefficient, G, is equal to zero, so equation (11)

is solved to determine the transformation coefficient:

C = 8.80.

The calculated LP3 parameters are then used to solve equation (1), leaving:

1 = 0.0111(P,)+0.0610(P2) (16)

To determine P, and P ̂values, the transformed LP3 deviate, K,, and

untransformed LP3 deviate, Kj, must first be calculated using equations (14) and

(15), respectively.

In this example, the specified discharge, Q, required in equations (14) and

(15), is an arbitrary discharge. The chosen discharge is 1440 cfs.


65

Equations (14) and (15) are solved to determine the LP3 deviates;

K, = 0.4132

Kz= 1.2749.

After calculating K, and Kg, P, and Pg are interpolated from “Appendix 3:

Table o fK Values," found in US WRC (1981):

Pi = 0.3410

Pz = 0.1015.

Equation (16) [or equation [(1)] is solved for the return period:

T = 100 years.

Thus, the arbitrary discharge of 1440 cfs is the 100-year structure discharge

at drainage structure 1. If the return period had not equaled 100 years, another

discharge would be selected and its return period calculated. This process would

continue until a discharge is found that produces a 1 0 0 -year return period.

Modified-FEMA Model: Model Results

Results of the modified-FEMA model applications for the UPRR1, UPPR2,

and UPPR3 alluvial fans are in Table 6 . Model results did not analyze whether the

drainage structures were of sufficient size to convey the 1 0 0 -year structure

discharges. Velocities and depths are calculated using the modified-FEMA model

to determine the 1 0 0 -year structure discharges and then using the velocity and

depth equations developed by Dawdy (1979) to determine the corresponding

velocities and depths, respectively. However, the velocity and depth equations


66

Table 6. Results for the modified-FEMA models of the UPRR1, UPRR2, and UPRR3alluvial fans.


VELOCITY(ft/sec)

DEPTH(ft)

UPRR1

1 1440 — —

2 845 — -

3 755 - —

4 1435 - —

5 1115 — —

6 2014 — —

7 1650 -- —

8 1161 — —

9 1412 -

10 1692 — —

11 1387 — —

12 2103 — —

UPRR3

13A 2040 — —

13B 2040 — —

14 1948 — —

15 1840 — —

16 1912 — —

17 2330 — —

18 1683 — —

UPRR2

19 3023 7.50 1.74

20A 3758 7.83 1.90

20B 3758 7.83 1.90


67

developed by Dawdy (1979) are only applicable in the single-channel region of an

alluvial fan.

The FEMA FAN model (FEMA, 1990a) was used to determine whether each

railroad alignment was in the single- or multiple-channei region of the respective

alluvial fans. FEMA FAN model output files are found in Appendix VI. On both the

UPRR1 and UPRR3 alluvial fans, the railroad alignments are located in the

multiple-channei region of the alluvial fans; therefore, flow velocities and depths

cannot be determined. On the UPRR2 alluvial fan, the railroad alignment is located

in the single-channel region of the alluvial fan; velocities and depths can be

calculated (Table 6).

Modified-FEMA Model: Model Discussion

The modified-FEMA model (French, 1992) is a modification of the FEMA

model (1990a) and is, therefore, subject to the key assumptions and limitations

previously discussed in Chapter 2, FEMA Alluvial Fan Model. For more detailed

information, see French (1992).


CHAPTER 5

MODEL RESULTS AND RISK ANALYSES

Stochastic and Deterministic Model Results

Capacities of drainage structures along these railroad alignments were

estimated by Flippin and French (1994) assuming that there were no obstructions

to flow and that the flow rate was determined at each structure by inlet control.

Maximum capacity of a structure was calculated as flow was assumed to enter the

structure at critical depth (King and Brater, 1963; French, 1985). In Table 7,

calculated drainage structure capacities are compared with model-generated

discharges from the one- and two-dimensional, deterministic DAMBRK and FLO-

2D models, respectively, and with 100-year structure discharges calculated by the

one-dimensional, stochastic modified-FEMA model. Discharges shown in the last

three columns of Table 7 are not directly comparable, as the FL0-2D and

DAMBRK discharges are based on 100-year discharges at the apexes, while the

modified-FEMA discharges are the 100-year structure discharges. The FL0-2D

discharges at the drainage structures are summarized in the output file of the

post-processor program, OUTNQ, as previously discussed in Chapter 4,

FL0-2D Model Results. DAMBRK discharges are calculated as previously

68


69

Table 7. Drainage structure capacities compared with FL0-2D and DAMBRK discharges, andwith modified-FEMA 100-year structure discharges.

STRUCTURESTRUCTURECAPACITY

(cfs)FL0-2D

(cfs)DAMBRK

(cfs)

MODIFIED-FEMA(cfs)

UPRR1

1 550 691 782 1440

2 550 940 421 845

3 440 1015 366 755

4 880 1023 748 1435

5 880 652 547 1115

6 440 1088 1057 2014

7 6570 1312 859 1650

8 670 1769 618 1161

9 880 1338 713 1412

10 1850 915 861 1692

11 990 330 689 1387

12 550 26 1103 2103

UPRR3

13A 290 684 566 2040

138 130 684 566 2040

14 130 459 531 1948

15 80 272 472 1840

16 80 307 524 1912

17 360 540 804 2330

18 720 1006 1105 2683

UPRR2

19 450 3115 1636 3023

20A 600 2924 2351 3758

208 1250 2924 2351 3758


70

discussed in Chapter 4, DAMBRK: Model Results. The modified-FEMA model

100-year structure discharges are calculated using the method developed by French

(1992), as previously discussed in Chapter 4, Modified-FEMA Model: Model Results.

Velocities and depths associated with the maximum discharges through the

drainage structures are in Table 8 and Table 9, respectively. FL0-2D maximum

velocities and depths are in the VELOC.OUT and DEPTH.OUT files, respectively,

created for each model. In addition, a graphical display of maximum velocities and

depths for each alluvial fan model can be generated using the post-processor

program, MAXPLOT. Importing the FL0-2D output files, VELOC.OUT and

DEPTH.OUT, into a CADD-DTM program allows maximum velocity contours

(Figures 15, 16, and 17) and depth contours (Figures 18, 19, and 20), respectively,

to plot on the digitized base map of each alluvial fan.

DAMBRK maximum velocities and depths (Table 8 and Table 9, respectively)

are in the output file of each alluvial fan model. Maximum velocities and depths

(maximum water surface elevations) are listed by the corresponding distance

downstream from the alluvial fan apex to the specific drainage structure. The

appropriate downstream distance is chosen by the method previously discussed in

Chapter 4, DAMBRK: Model Results. To calculate the maximum flow depths at

each drainage structure, the minimum cross-section elevation value used in defining

the appropriate selected cross-section in the DAMBRK input file is subtracted from

the maximum water surface elevation in the model output file. A negative maximum


71

Table 8. FL0-2D, DAMBRK, and modified-FEMA model flow velocities.

MODIFIED-STRUCTURE FL0-2D

(ft/sec)DAMBRK

(ft/sec)FEMA(ft/sec)

UPRR1

1 6.14 1.50 —

2 6.35 1.46 —

3 7.92 1.58 —

4 7.93 1.55 —

5 7.41 1,53 —

6 6.50 1.56 —

7 7.44 1.56 —

8 7.58 1.55 —

9 6.96 1.63 —

10 6.83 1.64 --

11 4.64 1.64 —

12 2.54 1.63 -

UPRR3

13A 3.25 3.00 —

13B 3.25 3.00 —

14 6.95 2.56 —

15 4.20 2.49 —

16 4.62 2.45 -

17 7.10 2.40 —

18 2.10 2.40 -

UPRR2

19 9.19 2.59 7.50

20A 10.10 2.57 7.83

208 10.10 2.57 7.83


72

Table 9. FLO-2D, DAMBRK, and modIfled-FEMA model flow depths.

STRUCTURE FL0-2D DAMBRKMODIFIED-

FEMA(ft) (ft) (ft)

UPRR1

1 1.37 2.08 —

2 1.95 2.08 -

3 2.00 1.40 —

4 2.00 1.69 —

5 1.76 1.54 —

6 2.00 2.10 —

7 1.48 2.10 —

8 2.00 1.69 —

9 2.00 1.82 "

10 2.00 2.22 —

11 0.77 2.22 —

12 0.22 1.82 —

UPRR3

13A 2.00 1.51 —

138 3.00 1.51 —

14 1.86 1.38 -

15 0.60 0.39 --

16 1.11 0.73 —

17 2.00 0.24 -

18 2.00 2.21 —

UPRR2

19 2.67 0.88 1.74

20A 3.22 0.29 1.90

208 3.22 0.29 1.90


•XJ


73

APEX:

Lat: 35" 34' 52" N Long.: US' 17’ 54" W MAX VEL = 15 EPS

O■XJ

UPRR1 ALLUVIAL FAN

FLO-2D MAXIMUM VELOCITY CONTOURS

V E LO C ITY C O N TO U R S = 2 FPS

LEGEND:

)(

o

I----- H

DRAINAGE STRUCTURE


BERM


M ODIFIED FROM USGS, 1985a and USGS, 1985b

F E E T

5000 10000

C O N TO U R INTERVAL = 32.8 FT

FIG URE 15



APEX:Lat: 35" 3 2 2 0 ’ N

Long: 115-17" 4 2 ’ W

M A X V E L = 10 F P S

O

.20,


UPRR2 ALLUVIAL FAN35" 32’ 20" N

g: 115" 17’ 42" W C VEL = 10 FPS


VELOCITY CONTOURS = 2 FPS

LEGEND:

DRAINAGE STRUCTURE


BERM


4.0

MODIFIED FROM USGS, 1985a

<o

.20.

V /

40002000

CONTOUR INTERVAL - 32.8 FT

FIGURE 16

74



- 0 4 ,0


75

APEX:

L at: 35" 21’ 4 0 ’ N

Long.: IIS ' 0 0 ' 3 2 ’ W

M A X V E L = 12 F P S

o

O

4 0^

UPRR3 ALLUVIAL FAN


V E LO C ITY C O N TO U R S = 2 FPS

)(

o

LEGEND:

DRAINAGE STRUCTURE


BERM


MODIFIED FROM USGS, 1986

F E E T

3000 6000

C O N TO U R INTERVAL = 2 0 FT

FIGURE 17



p-

o

o

o


76

APEX:Lat: 35" 3 4 ' 52" N

Long.: IIS ' 17’ 54" W

D E P T H - 5 F T M A X

UPRR1 ALLUVIAL FAN

FLO-2D MAXIMUM FLOW DEPTH CONTOURS

D E P T H C O N TO U R S = 0 .5 ft

LEGEND:

) ( DRAINAGE STRUCTURE

o DRAINAGE STRUCTURE NUMBER

BERM

_| UNION PACIFICRAILROAD ALIGNMENT

MODIFIED FROM USGS, 1985a and USGS. 1985b

F E E T

5000 10000

O O N TO UR INTERVAL = 32 .8 FT

FIG URE 18

Reproduced witti permission of tire copyrigfit owner. Furtfier reproduction profiibited witfiout permission.


APEX:Lat: 35° 3 2 20" N

Long: 115“ 17“ 42° W

D E P T H = 6 F T M A X

0.5

20


UPRR2 ALLUVIAL FAN: 35* 32’ 20’ N ig: 115-17’ 42’ W

= 6 FT MAX


DEPTH COm'OURS » 0.5 ft

LEGEND

D R A IN A G E STRUCTURE

D R A IN A G E STRUCTURE NUMBER

BERM

UNION P A C IF IC

R A ILR O A D A LIG N M EN T05-

M O D IFIE D FRO M USGS, 1985a

.20.

2000 4000

CONTOUR INTERVAL - 32.8 FT

FIGURE 19

R eproduced with perm ission o f the copyright ow ner. Further reproduction prohibited w ithout perm ission.

77



78

APEX:Lat: 3 5 " 21’ 40" N Long.: 115" qO' 32’ W DEPTH = 6 FT MAX

UPRR3 ALLUVIAL FAN


D E P T H C O N TO U R S = 0 .5 ft

)(

o

LEGEND:

D R A IN A G E S T R U C T U R E

D R A IN A G E S T R U C T U R E

N U M B E R

• B E R M

j U N IO N P A C IF IC

R A IL R O A D A L IG N M E N T

M O D IF I E D F R O M U S G S . 1 9 8 6

F E E T

3 00 0 6 0 0 0--- 1

C O N T O U R INTERVAL = 2 0 FT

FIGURE 2 0



79

depth value calculated at a drainage structure likely results from interpolation of the

downstream distance from the alluvial fan apex to the cross-section at the drainage

structure (see previous discussion in Chapter 4, DAt\/IBRK: Model Results).

Maximum flow parameters associated vwth the downstream distances in the output

files may not have the linear relationship assumed by the interpolation of distances.

In this case, an appropriate water surface elevation is estimated from adjacent

cross-section information.

In addition to the FL0-2D and DAMBRK maximum velocities and depths,

modified-FEMA model velocities and depths are in Table 8 and Table 9,

respectively. Velocities and depths are calculated using the modified-FEMA model

to determine the 100-year structure discharges and then using the velocity and

depth equations developed by Dawdy (1979) to determine the corresponding

velocities and depths, respectively. However, the velocity and depth equations

developed by Dawdy (1979) are only applicable in the single-channel region of an

alluvial fan. As previously discussed in Chapter 4, Modified-FEMA Model: Model

Results, flow velocities and depths can only be calculated for the UPRR2 alluvial

fan, where the railroad alignment is in the single-channel region of the alluvial fan.

The FL0-2D models actually account for flow constriction through the

upstream berms to the drainage structures. The DAMBRK models assume that the

flow is spread equally across the entire channel or, in this case, alluvial fan. The

method used to segment the flow, previously discussed in Chapter 4, DAMBRK:

Model Results, does not account for changes in velocity and depth associated with


80

flow constrictions to the drainage structures. The modified-FEMA model, as with

the DAMBRK model, does not account for changes in velocity and depth associated

with flow constrictions to the drainage structures. The modified-FEMA model

calculates 1 0 0 -year structure discharges, and thus velocities and depths, at the

upstream berms, and not directly at the drainage structures.

Risk Analyses of Railroad Drainage Structures

Risk analyses of the railroad alignments to determine if any of the drainage

structures should have sustained major damage (e.g., structure failure or serious

embankment erosion) causing interruption to rail traffic, are performed using

drainage structure capacities, FL0-2D and DAMBRK model-generated discharges,

and 100-year structure discharges from the modified-FEMA model. Although the

risk analyses are similar, different methods are necessary to perform risk analyses

of the drainage structure capacities, deterministic model results, and stochastic

model results. Each method uses the modified-FEMA equation (1), defined in

Chapter 4, Modified-FEMA Model: Model Input, to determine the return periods

associated with the discharges, and then determines the exceedance probability.

The method of determining exceedance probability is described in

US WRC (1981). The exceedance probability equation (17) is:

(17)R =1 - 1 - r, T ,


81

where R = exceedance probability for one or more occurrences; T = the return

period, in years; and N = age of the structure, in years.

Risk analysis calculations are found in Appendix VII; however, an example

of each method is provided in the text.

Risk Analyses of Drainage Structure Capacities

Risk analyses of railroad drainage structure capacities follow the same

method used by Flippin and French (1994). Using the maximum capacity of each

drainage structure and the modified-FEMA equation (1) developed by

French (1992), the return period associated with the capacity of each specific

drainage structure is calculated. The return period is used in combination with the

capacity of the drainage structure to solve for the probability that one or more

events has exceeded the capacity of the drainage structure within the period of

time that the drainage structure has been in place (US WRC, 1981). An

exceedance probability of 50 percent or greater indicates that a drainage structure

should have sustained damage.

Complete risk analysis calculations are found in Appendix VII. An example

of the risk analysis calculation method for the capacity of drainage structure 1 is

provided here.

Given:


Qioo = 13875 cfs, Qio = 1480 cfs, and Q; = 91 cfs.


82

UPRR1 railroad alignment in FEMA multiple-channel region:

p = 35.8.

Avulsion coefficient:

A = 1.5.

At drainage structure 1 ;



parameters:

G = 0.0,

• S = 0.94, and

• X = 1.96.


parameters:

G, = 0.0,

• Sz = 0.94, and

z = 2.77.

The untransformed skew coefficient, G, is equal to zero; therefore, equation

(1 1 ) is used to determine the transformation coefficient:

C = 8.80.

The calculated LP3 parameters are then used to solve equation (1), leaving

equation (16), with P, and P ̂as unknowns.


83

To determine P, and Pj values, the transformed LP3 deviate, K,, and


(15), respectively.


(15), is the drainage structure capacity. Capacity of drainage structure 1 is 550 cfs.

Equations (14) and (15) are solved to determine the LP3 deviates:

K, = -0.0315.

Kj = 0.8302.

After calculating K, and Kg, P, and Pj are interpolated from “Appendix 3:


P, = 0.5125.

P; = 0.2036

Equation (16) [or equation (1)] is solved for the return period;

T = 55 years.

The return period is then used in equation (17) to determine the exceedance

probability.

Given:

• Return period:

T = 55 years.

Age of drainage structure 1 :

N = 64 years.

Equation (17) is solved for the probability of one or more events exceeding


84

structure capacity during the time period that the structure has been in place:

• R = 68.9 percent.

For the risk analysis of the capacity of drainage structure 1, the structure

capacity of 550 cfs has an exceedance probability of 68.9 percent. As the

exceedance probability is 50 percent or greater, the analysis suggests that

drainage structure 1 should have sustained damage.

Hydraulic parameters and risk analysis for each drainage structure capacity

are in Table 10. Analyses of the UPRR1 drainage structures indicate there is a

50 percent or greater probability of one or more events exceeding drainage

structure capacity for 83 percent of the drainage structures. Some of these

structures should have sustained significant damage during the period of time that

they have been in place. Analyses of drainage structures on both the UPRR2 and

UPRR3 alluvial fans indicate there is a 50 percent or greater probability of one or

more events exceeding drainage structure capacity for 1 0 0 percent of the drainage

structures. Some drainage structures along the railroad alignments crossing the

UPRR2 and UPRR3 alluvial fans also should have sustained damage.

Exceedance probabilities of approximately 100 percent, as for drainage structure

19 on the UPRR2 alluvial fan and drainage structures 13B, 14, 15, 16, 17, and 18

on the UPRR3 alluvial fan, strongly suggest that these drainage structures should

have been damaged.


85

Table 10. Hydraulic parameters and risk analyses for drainage structure capacities.

STRUCTURESTRUCTURE CAPACITY

(cfs)AGE(yrs)

Ws(ft)

Wc(ft)

T(yrs)__

R(percent)

UPRR1

1 550 64 2600 42600 55 69.0

2 550 64 1400 42600 81 55.0

3 440 66 1200 42000 77 57.8

4 880 64 2300 39600 71 59.5

5 880 64 1700 40000 87 52.4

6 440 62 3200 39000 38 80.6

7 6570 64 2600 39000 305 19.0

8 670 64 1900 39600 69 60.5

9 880 64 2100 38000 73 58.8

10 1850 64 2500 37500 106 45.5

11 990 64 2000 37500 79 55.6

12 550 65 3250 38000 42 79.0

UPRR3

ISA 290 19 1050 9950 23 56.9

13B 130 48 1050 9950 15 96.0

14 130 67 1000 10150 16 98.6

15 80 67 900 10250 14 99.2

16 80 67 1000 10300 14 99.4

17 360 67 1550 10400 22 95.6

18 720 67 2150 10500 29 90.2

UPRR2

19 450 66 2150 8200 17 98.2

20A 600 25 3150 8400 15 82.4

20B 1250 43 3150 8400 29 78.5


86

Risk Analyses of Drainage Structures Using FL0-2D and DAMBRK

Risk analyses of the drainage structures using the FL0-2D and DAMBRK

results are done using the same method previously described, except the

respective FL0-2D and DAMBRK model-generated maximum discharges are used

in place of the drainage structure capacities. The exceedance probability is, thus,

an assessment of the probability that the FL0-2D or DAMBRK model-generated

discharge has impacted the respective drainage structure one or more times during

the period of time that the drainage structure has been in place. However,

because the FL0-2D and DAMBRK model-generated discharges are independent

of the drainage structure capacities, an exceedance probability of 50 percent or

greater only indicates that a drainage structure should have sustained damage

when it occurs in combination with a FL0-2D or DAMBRK model-generated

discharge that exceeds the drainage structure capacity.


of the risk analysis calculation method for the FL0-2D and DAMBRK

model-generated discharges at drainage structure 1 is provided here.

Given:


Q,oo = 13875 cfs, Qio = 1480 cfs, and Q; = 91 cfs.


3 = 35.8.


87

Avulsion coefficient:

A = 1.5.

At drainage structure 1 :



parameters:

G = 0.0,

S = 0.94, and

• X = 1.96.


parameters:

G, = 0.0,

= 0.94, and

2 = 2.77.

The untransformed skew coefficient, G, is equal to zero; therefore, equation

(1 1 ) is used to determine the transformation coefficient:

C = 8.80.

The LP3 parameters are then used to solve equation (1), leaving equation

(16), with P, and P2 as unknowns.

To determine P, and P; values, the transformed LP3 deviate, K,, and

untransformed LP3 deviate, K;, must first be calculated using equations (14) and

(15), respectively.


88


(15), is the FLO-2D or DAMBRK model-generated maximum discharge at drainage

structure 1 .

The FLO-2D model-generated maximum discharge at drainage structure 1

is 691 cfs (based on the 100-year discharge at the apex).


K, = 0.0739

K; = 0.9356.

After calculating K, and K ,̂ P, and P; are interpolated from "Appendix 3:

Table of K Values," found in US WRC (1981):

P, = 0.4707

P; = 0.1786

Equation (16) [or equation (1)] is solved for the return period:

• T = 62 years.


probability.

Given:

Return period:

T = 62 years.


N = 64 years.


89


the FL0-2D model-generated discharge at the structure during the time period that

the structure has been in place:


The DAMBRK maximum discharge at drainage structure 1 is 782 cfs (based

on the 1 0 0 -year discharge at the apex).


K, = 0.1311

Kz = 0.9928.

After calculating K, and K;, P, and P; are interpolated from “Appendix 3:


P, = 0.4480

Pz = 0.1656.

Equation (16) [or equation (1 )] is solved for the return period:

• T = 6 6 years.


probability.

Given:

Return period:

T = 6 6 years.


N = 64 years.


90


the DAMBRK model-generated discharge at the structure during the time period

that the structure has been in place:


For the FL0-2D and DAMBRK risk analyses of drainage structure 1, the

model-generated discharges of 691 and 782 cfs, respectively, occur in conjunction

with exceedance probabilities of 64.7 and 62.3 percent, respectively. Thus, in both

the FL0-2D and DAMBRK analyses, the model-generated discharge exceeds the

drainage structure capacity of 550 cfs, and occurs in conjunction with an

exceedance probability of 50 percent or greater, suggesting that drainage

structure 1 should have sustained damage.

Hydraulic parameters and risk analysis for each drainage structure using the

FL0-2D discharge results are in Table 11. The FL0-2D analyses of the UPRR1

alluvial fan indicate that 25 percent of the drainage structures on this alluvial fan

should have sustained damage. Specifically, analyses of structures 1, 4, and 6

determine that damage should have been sustained by these structures because

the FL0-2D discharge exceeds the respective drainage structure capacity in

combination with an exceedance probability of 50 percent or greater.

The FL0-2D analyses of the UPRR2 alluvial fan indicate that none of the

drainage structures should have sustained damage. In no case does the FL0-2D

discharge exceed the respective drainage structure capacity in combination with

an exceedance probability of 50 percent or greater.


91

Table 11. Hydraulic parameters and risk analyses for FL0-2D discharges.

STRUCTURESTRUCTURE

CAPACITY_(cfs)

AGE(yrs)

Ws(ft)

Wc(ft)

FL0-2D(cfs)

T(yrs)

R(percent)

UPRR1

1 550 64 2600 42600 691 62 64.7

2 550 64 1400 42600 940 106 45.4

3 440 66 1200 42000 1015 118 43.0

4 880 64 2300 39600 1023 79 55.9

5 880 64 1700 40000 652 74 58.2

6 440 62 3200 39000 1088 65 61.9

7 6570 64 2600 39000 1312 85 53.0

8 670 64 1900 39600 1769 127 39.6

9 880 64 2100 38000 1338 96 48.9

10 1850 64 2500 37500 915 66 62.6

11 990 64 2000 37500 330 45 76.6

12 550 65 3250 38000 26 14 99.3

UPRR3

ISA 290 19 1050 9950 684 40 38.2

13B 130 48 1050 9950 684 40 70.3

14 130 67 1000 10150 459 32 88.1

15 80 67 900 10250 272 25 93.5

16 80 67 1000 10300 307 25 93.5

17 360 67 1550 10400 540 28 91.3

18 720 67 2150 10500 1006 38 83.3

UPRR2

19 450 66 2150 8200 3115 104 47.2

20A 600 25 3150 8400 2924 71 29.9

20B 1250 43 3150 8400 2924 71 47.7


92

The FL0-2D analyses of the UPRR3 alluvial fan indicate that 8 6 percent of

the drainage structures on this alluvial fan should have sustained damage.

Specifically, analyses of structures 13B, 14, 15, 16, 17, and 18 determine that

damage should have been sustained by these structures because the FL0-2D

discharge exceeds the respective drainage structure capacity in combination with

an exceedance probability of 50 percent or greater. The FL0-2D analyses of

drainage structures 15, 16, and 17 result in exceedance probabilities of

approximately 1 0 0 percent, strongly suggesting that these drainage structures

should have been damaged.

Flydraulic parameters and risk analysis for each drainage structure using the

DAMBRK discharge results are in Table 12. The DAMBRK analyses of the UPRR1

alluvial fan indicate that 25 percent of the drainage structures on this alluvial fan

should have sustained damage. Analyses of structures 1, 6 , and 12 determine that

damage should have been sustained by these structures because the DAMBRK



The DAMBRK analyses of the UPRR2 alluvial fan indicate that 67 percent

of the drainage structures should have sustained damage. Analyses of structures

19 and 20B determine that damage should have been sustained by these

structures because the DAMBRK discharge exceeds the respective drainage

structure capacity in combination with an exceedance probability of 50 percent or

greater.


93

Table 12. Hydraulic parameters and risk analyses for DAMBRK discharges.

STRUCTURESTRUCTURE

CAPACITY(cfs)

AGE(yrs)

Ws(ft)

Wc(ft)

DAMBRK(cfs)

T(yrs)

R(percent)

UPRR1

1 550 64 2600 42600 782 66 62.3

2 550 64 1400 42600 421 71 59.9

3 440 66 1200 42000 366 71 60.9

4 880 64 2300 39600 748 65 62.8

5 880 64 1700 40000 547 68 61.4

6 440 62 3200 39000 1057 63 82.2

7 6570 64 2600 39000 859 64 63.4

8 670 64 1900 39600 618 67 61.9

9 880 64 2100 38000 713 65 63.1

10 1850 64 2500 37500 861 63 63.9

11 990 64 2000 37500 689 65 63.1

12 550 65 3250 38000 1103 63 64.7

UPRR3

13A 290 19 1050 9950 566 35 42.5

138 130 48 1050 9950 566 35 75.3

14 130 67 1000 10150 531 50 74.2

15 80 67 900 10250 472 34 86.2

16 80 67 1000 10300 524 35 85.6

17 360 67 1550 10400 804 39 82.3

18 720 67 2150 10500 1105 41 80.6

UPRR2

19 450 66 2150 8200 1636 51 72.9

20A 600 25 3150 8400 2351 57 35.9

208 1250 43 3150 8400 2351 57 53.4


94

The DAMBRK analyses of the UPRR3 alluvial fan indicate that 8 6 percent

of the drainage structures on this alluvial fan should have sustained damage.

Specifically, analyses of structures 13B, 14, 15, 16, 17, and 18 determine that

damage should have been sustained by these structures because the DAMBRK



Risk Analyses of Drainage Structures Using the Modified-FEMA Model

Risk analyses of the drainage structures using the modified-FEMA model

are done using the same method previously described, except the 1 0 0 -year

structure discharges are used in place of the drainage structure capacities. The

exceedance probability is thus an assessment of the probability that the 1 0 0 -year

structure discharge has occurred one or more times during the period of time that

the drainage structure has been in place. However, because the modified-FEMA

model 1 0 0 -year structure discharges are independent of the drainage structure

capacities, an exceedance probability of 50 percent or greater only indicates that

a drainage structure should have sustained damage when it occurs in combination

with a modified-FEMA model 100-year structure discharge that exceeds the

drainage structure capacity.


of the risk analysis calculation method for the modified-FEMA model 100-year

structure discharge at drainage structure 1 is provided here.


95

Given:


Q,oo = 13875 cfs, Qio = 1480 cfs, and Qj = 91 cfs.


3 = 35.8.

• Avulsion coefficient:

A = 1.5.

At drainage structure 1 :



parameters:

G = 0.0,

• S = 0.94, and

x= 1.96.


parameters:

G, = 0.0,

Sj = 0.94, and

z = 2.77.

The untransformed skew coefficient, G, is equal to zero, so equation (11)

is solved to determine the transformation coefficient:

C = 8.80.


96

The LP3 parameters are then used to solve equation (1), leaving

equation (16), with P, and P; as unknowns.

To determine P, and Pj values, the transformed LP3 deviate, K,, and

untransformed LP3 deviate. Kg, must first be calculated using equations (14) and

(15), respectively.


(15), is an arbitrary discharge. The chosen discharge is 1440 cfs.


K, = 0.4132

Kz= 1.2749.

After calculating K, and Kj, P, and P; are interpolated from “Appendix 3:

Table o f K Values" found in US WRC (1981):

P, = 0.3410

Pz = 0.1015.

Equation (16) [or equation [(1)] is solved for the return period;

T = 100 years.

Thus, the arbitrary discharge of 1440 cfs is the 100-year structure discharge

at drainage structure 1. If the return period had not equaled 100 years, another

discharge would be selected and its return period calculated. This process would

continue until a discharge is found that produces a 1 0 0 -year return period.


97


probability.

Given;

Return period:

T = 100 years.


N = 64 years.


the 1 0 0 -year structure discharge during the time period that the structure has been

in place:

R = 47.4 percent.

For the modified-FEMA model risk analysis of drainage structure 1, the

100-year structure discharge of 1440 cfs occurs in conjunction with an exceedance

probability of 47.4 percent. Thus, although the modified-FEMA model 100-year

structure discharge exceeds the drainage structure capacity of 550 cfs, it does not

occur in conjunction with an exceedance probability of 50 percent or greater,

suggesting that drainage structure 1 should not have sustained damage.

Hydraulic parameters and risk analysis for each drainage structure using the

modified-FEMA model 100-year structure discharge results are in Table 13. The

modified-FEMA model analyses of the UPRR1, UPRR2, and UPRR3 alluvial fans

indicate that none of the drainage structures on any of these alluvial fans should

have sustained damage. Although in most cases the modified-FEMA model


98

Table 13. Hydraulic parameters and risk analyses for modified-FEMA model discharges.

STRUCTURESTRUCTURE

CAPACITY(cfs)

AGE(yrs)

Ws (ft) _

Wc(ft)

MODIFIED-FEMA(cfs)

T(yrs)

R(percent)

UPRR1

1 550 64 2600 42600 1440 100 47,4

2 550 64 1400 42600 845 100 47.4

3 440 66 1200 42000 755 100 48.5

A 880 64 2300 39600 1435 100 47.4

5 880 64 1700 40000 1115 100 47.4

6 440 62 3200 39000 2014 100 46.4

7 6570 64 2600 39000 1650 100 47.4

8 670 64 1900 39600 1161 100 47.4

9 880 64 2100 38000 1412 100 47.4

10 1850 64 2500 37500 1692 100 47.4

11 990 64 2000 37500 1387 100 47.4

12 550 65 3250 38000 2103 100 48.0

UPRR3

13A 290 19 1050 9950 2040 100 17.4

13B 130 48 1050 9950 2040 100 38.3

14 130 67 1000 10150 1948 100 49.0

15 80 67 900 10250 1840 100 49.0

16 80 67 1000 10300 1912 100 49.0

17 360 67 1550 10400 2330 100 49.0

18 720 67 2150 10500 2683 100 49.0

UPRR2

19 450 66 2150 8200 3023 100 48.5

20A 600 25 3150 8400 3758 100 22.2

20B 1250 43 3150 8400 3758 100 35.1


99

discharge exceeds the respective drainage structure capacity, analyses of the

drainage structures indicate the exceedance probabilities are less than 50 percent

for all of the drainage structures.

Results and Discussion

Results of the risk analyses estimating whether any of the drainage

structures should have sustained damage during the period of time that they have

been in place are compared with railroad maintenance records. Percentages of

drainage structures that the risk analyses indicate should have sustained damage

are in Table 14. Maintenance records for the UPRR1 alluvial fan indicate no

recorded damage to the twelve drainage structures along this railroad alignment.

However, the analyses of the drainage structure capacities of the UPRR1 alluvial

fan indicate that 83 percent of these drainage structures have a 50 percent or

greater probability of one or more events exceeding drainage structure capacity.

This suggests that some of these drainage structures should have sustained

damage. Both the FLO-2D and DAMBRK analyses of the UPRR1 alluvial fan

indicate that 25 percent of the drainage structures should have sustained damage

because the discharges exceed the respective drainage structure capacity and the

exceedance probabilities are 50 percent or greater. The modified-FEMA model

analyses of the UPRR1 alluvial fan indicate that none of the drainage structures

should have been damaged because all of the exceedance probabilities are less

than 50 percent.


100

Table 14. Percentage of drainage structures on each fan, and overall, that risk analyses indicate should have sustained damage.

STRUCTURE MODIFIED-FAN___________ CAPACITY________ FL0-2D DAMBRK FEMA

ÜPRR1 83 25 25 0

UPRR2 100 0 67 0

UPRR3 100 86 86 0

OVERALL 91 41 50 0

Union Pacific maintenance records for the railroad alignment crossing the

UPRR2 alluvial fan indicate that drainage structure 20A suffered major flood

damage on July 23,1946. However, a letter dated August 27,1946, states that on

three recorded occasions, water has gone over the railroad embankment at the

location of drainage structure 2 0 due to insufficient drainage structure capacity.

A previous letter, dated May 26, 1937, quotes a January 20, 1933 letter, stating

that on two occasions, the drainage structure proved to have insufficient capacity.

There is no mention in the maintenance record of these previous events. Copies

of these letters are found in Appendix VIII.

The original drainage structure at this location, 20A, with a capacity of

600 cfs, was in place for 25 years. The exceedance probability of the capacity of

drainage structure 20A is 80.5 percent, suggesting that, as the maintenance

records indicate, damage should have occurred. A replacement drainage

structure, 20B, with a capacity of 1250 cfs, has been in place for 43 years. The

exceedance probability of the capacity of drainage structure 20B is 76.1 percent,


101

suggesting that this structure also should have been damaged. However, there is

no indication in the maintenance records that any damage has occurred.

Results of the FL0-2D analyses indicate that for both drainage structures

20A and 20B, the exceedance probability is less than 50 percent, suggesting that

neither of these structures should have sustained damage. In contrast, results of

the DAMBRK analysis for drainage structure 20B indicate that the exceedance

probability is 50 percent or greater, suggesting that this drainage structure should

have been damaged. Results of the DAMBRK analysis for drainage structure 20A

indicate that the exceedance probability is less than 50 percent, suggesting that

this structure should not have sustained damage. The modified-FEMA model

analyses of the UPRR2 alluvial fan indicate that neither of these drainage

structures should have been damaged because all of the exceedance probabilities

were less than 50 percent.

Aerial photographs of the UPRR2 alluvial fan show that a channel has

developed from the alluvial fan apex almost directly to the location of drainage

structure 20. The channel is marked as an intermittent stream on the USGS

topographic map of the area (USGS, 1985a), and field investigation has confirmed

this channel to be well-incised through surfaces covered by desert pavement and

desert varnish. However, topographic data used in the FL0-2D and DAMBRK

models may not be detailed enough for the models to recognize a continuous

channel from the alluvial fan apex to this location. If this channel existed prior to

the 1946 flood, most of the alluvial fan apex flow may have been conveyed by this


102

channel to drainage structure 2 0 , thus explaining the only major damage to the

railroad alignment crossing the UPRR2 alluvial fan. Alternatively, this channel

may be the result of the 1946 flood event.

In an attempt to determine if this channel existed prior to 1946, a search was

conducted for early topographic maps and aerial photographs of the UPRR2

alluvial fan. A topographic quadrangle map, at 1:250000-scale, originally published

in 1912 (USGS, 1912), and reprinted in 1941 and 1951 (USGS, 1941; USGS,

1951), did not provide sufficient detail necessary to verify the existence of the

channel in 1912. Two topographic quadrangle maps, both at 1:62500-scale, dated

1955 and 1956 (USGS, 1955; USGS, 1956), did depict the channel, but were

compiled based on surveys and photos completed in 1953 to 1954, and thus would

not determine the existence of the channel prior to 1946. No aerial photographs

of the UPRR2 alluvial fan dated prior to 1946 were found in the search.

Drainage structure 19, the only other structure analyzed on the UPRR2

alluvial fan, is not mentioned in maintenance records. Results of the drainage

structure capacity analysis for structure 19 indicate that the exceedance probability

is approximately 1 0 0 percent, suggesting that this structure should have sustained

damage. Results of the FL0-2D analysis for drainage structure 19 indicate that the

exceedance probability is less than 50 percent, suggesting that this structure

should not have been damaged. Results of the DAMBRK analysis for drainage

structure 19 indicate that the discharge exceeds the respective drainage structure

capacity and the exceedance probability is 50 percent or greater, suggesting that


103

this drainage structure should have been damaged. The modified-FEMA model

analysis for drainage structure 19 indicates that this drainage structure should not

have been damaged because the exceedance probability is less than 50 percent.

Maintenance records for the UPRR3 alluvial fan indicate no recorded

damage to the seven drainage structures analyzed along this railroad alignment.

However, analyses of drainage structure capacities of the UPRR3 alluvial fan

indicate that 1 0 0 percent of these drainage structures have an exceedance

probability of 50 percent or greater, suggesting that all of these drainage structures

should have sustained damage. Both the FL0-2D and DAMBRK analyses of the

UPRR3 alluvial fan indicate that 8 6 percent of the drainage structures should have

sustained damage because the discharges exceed the respective drainage

structure capacity and the exceedance probabilities are 50 percent or greater. The

modified-FEMA model analyses of the UPRR3 alluvial fan indicate that none of the

drainage structures should have been damaged because all exceedance

probabilities are less than 50 percent.

Several reasons may explain why the risk analyses suggest that many of the

drainage structures along these railroad alignments should have sustained damage

while, in all but one case, there are no historic data to support these conclusions.

(1) Maintenance records may be incomplete, describing only major flood

damage. Minor damage (e.g., debris deposited on the tracks or minor

embankment erosion) to the railroad alignments, may not have been

recorded. For example, maintenance records for drainage structure 20A did


104

not indicate any damage until 1946, even though earlier correspondence

indicates several previous maintenance problems due to flooding.

(2) Topographic information for flood modeling is commonly limited to available

USGS 7.5-minute topographic quadrangle maps. These 1:24000-scale

maps, with contour intervals of either 2 0 feet or 1 0 meters, may not provide

sufficient topographic information, and may prove to be a limiting factor in

the accuracy of results in some of the models. Large channels near the

alluvial fan apex will show clearly on the maps, but topographic detail will

not be seen farther downstream, as the flowpath bifurcates into numerous

small channels.

(3) The modified-FEMA model is inherently conservative, in that it assumes that

all flood channels will inundate the drainage segment of interest (Flippin and

French, 1994). For railroad alignments located on the mid and distal parts

of alluvial fans, the probability of all channels impacting a single drainage

segment is low.

(4) Neither the modified-FEMA or DAMBRK models has the capability to

incorporate the physical processes available in the FL0-2D model.

Therefore, for comparison in this investigation, the FL0-2D analyses do not

include all of these components. Exclusion of these physical processes

may be prejudicing the FL0-2D model results.

(5) Development of the DAMBRK models involves substantial subjective

judgement. In addition, the dynamic wave routing technique used by the


105

DAMBRK model may be inappropriate for slopes typical of alluvial fans.

These may be limiting factors in the accuracy of the DAMBRK results.


CHAPTER 6

CONCLUSIONS

Discrepancies between results from the model analyses and historic

maintenance records suggest that either the stochastic modified-FEMA model

developed by French (1992) or the deterministic FL0-2D and DAMBRK models,

or all of the models, produce conservative results for the railroad alignments

crossing the alluvial fans in this study. The models all generally predict peak

discharges that are larger than the railroad maintenance records indicate have

occurred; however, the risk analyses show that the two deterministic models yield

more conservative results than the stochastic model.

Results of the deterministic FL0-2D and DAMBRK models indicate that,

overall, in 41 and 50 percent of the drainage structures {Table 14), respectively, an

exceedance probability of 50 percent or greater occurs in conjunction with a

model-generated discharge that exceeds respective drainage structure capacity.

These deterministic model results suggest that several of the drainage structures

should have sustained damage. In fact, the FL0-2D analyses of three of the

drainage structures result in exceedance probabilities of approximately

100 percent, strongly suggesting that these three drainage structures should have

106


107

been damaged. Results of the modified-FEMA model indicate that none of the

drainage structures should have been damaged because all of the exceedance

probabilities are less than 50 percent. Thus, the deterministic models that suggest

some damage should have occurred, produce more conservative results than the

stochastic model.

Although conservative results are desirable in hydraulic engineering

analyses, flood hazard mitigation designs based on overly conservative results are

not cost-effective. Flowever, in the case of transporting high-level radioactive

waste on rail or highway systems crossing alluvial fan surfaces, design costs must

be weighed against risk and consequence costs. Public health and safety as well

as environmental concerns are serious considerations when transporting high-level

radioactive waste on transportation alignments crossing alluvial fan surfaces and

warrant conservative flood hazard mitigation designs. Consequences of a release

of high-level radioactive waste due to transportation alignment damage may justify

large increases in design costs that result in small increases in risk reduction.

The modified-FEMA model is relatively simple, with limited data required,

thus restricting the design costs; however, risk and consequence costs may

increase with use of this model, as suggested by less conservative results of the

risk analyses. Both the FL0-2D and DAMBRK models require increased design

costs up-front for field investigations, possible generation of additional topographic

data, and computer time; however, risk and consequence costs may decrease with

use of these models, as suggested by the more conservative results of the risk


108

analyses. As a physical-process based model, FL0-2D is the most realistic of the

models, and the results, given the limitations previously addressed, are probably

the best estimates of design peak discharges. Development of the DAMBRK

models involves substantial subjective judgement; thus, conservative results may

be artificial.

A cost-effective method for estimating design peak discharges for

transportation alignments crossing alluvial fans may be a combination of results

from the stochastic modified-FEMA model and the deterministic FL0-2D model.

Modified-FEMA model 100-year structure discharges can be used as an upper

bound for determining capacities of relatively insignificant drainage structures

where the cost of developing a detailed deterministic model may be more than the

cost of the structures, or where the associated risk and consequence costs of

damage are negligible. When the structures are significant, and generally

expensive, or the associated risk and consequence costs of damage are

appreciable, it may be cost-effective to perform a detailed study using the

deterministic FL0-2D model to provide a more accurate assessment of drainage

structure size. DAMBRK is not recommended to be used for estimates of design

peak discharges for transportation alignments crossing alluvial fans.


APPENDIX I

FL0-2D MODEL INPUT FILES

This appendix contains, in parts 1, 2, and 3, FL0-2D model input files used

in the alluvial fan flood simulations for the UPRR1, UPRR2, and UPRR3 alluvial

fans, respectively. Each part contains three tables. The first table contains the

CONT.DAT and MULT.DAT input files. Control variable data are contained in the

CONT.DAT file, and multiple channel data are contained in the MULT.DAT file. The

second table contains the FPLAIN.DAT input file. Floodplain data are contained in

the FPLAIN.DAT file. The third table contains the FPINOUT.DAT input file. Inflow

and outflow grid element information is contained in the FPINOUT.DAT file. Most

of the data are in free-format style.

109


P a rti: UPRR1 Alluvial Fan

Table 15. CONT.DAT and MULT.DAT Input files for the FL0-2D UPRR1 alluvial fan model.

CONT.DAT

1. 8.0 .05 0 0 2 1 2728 0 400. .175.3 0 0 0 27 0 0 0 0 00. 0. 1. -0.99 0 3 0 0

MULT.DAT

5. 050. 2.0 1 0.040 1 871100. 3.0 1 0.050 872 87550. 2.0 1 0.040 876 914100. 3.0 1 0.050 915 91950 2.0 1 0.040 920 957100. 3.0 1 0.050 958 96350. 2.0 1 0.040 964 1001100. 3.0 1 0.050 1002 100950. 2.0 1 0.040 1010 1047100. 3.0 1 0.050 1048 105850. 2.0 1 0.040 1059 1097100. 3.0 1 0.050 1098 110850. 2.0 1 0.040 1109 1148100. 3.0 1 0.050 1149 115850. 2.0 1 0.040 1159 1198100. 3.0 1 0.050 1199 120850. 2.0 1 0.040 1209 1251100. 3.0 1 0.050 1252 126050. 2.0 1 0.040 1261 1302100. 3.0 1 0.050 1303 131150. 2.0 1 0.040 1312 1353100. 3.0 1 0.050 1354 136050. 2.0 1 0.040 1361 1403100. 3.0 1 0.050 1404 140850. 2.0 1 0.040 1409 1453100. 3.0 1 0.050 1454 145650. 2.0 1 0.04 1457 2728

110


I l l

Table 16. FPLAIN.DAT input file for the FL0-2D UPRR1 alluvial fan model.

FPLAIN.DAT

1 3 2 0 2725 0.060 2765.19 46 58 47 34 45 0.060 2844.162 4 0 0 11 0.060 2773.81 47 59 48 35 46 0.060 2851.743 6 4 1 0 0.060 2773.55 48 60 49 36 47 0.060 2859.974 7 5 2 3 0.060 2783.05 49 61 50 37 48 0.060 2867.055 8 0 0 4 0.060 2790.35 50 62 0 38 49 0.060 2877.516 10 7 3 0 0.060 2781.71 51 68 52 39 0 0.060 2798.177 11 8 4 6 0.060 2788.85 52 69 53 40 51 0.060 2805.858 12 9 5 7 0.060 2797.28 53 70 54 41 52 0.060 2814.859 13 0 0 8 0.060 2805.25 54 71 55 42 53 0.060 2822.8210 15 11 6 0 0.060 2789.56 55 72 56 43 54 0.060 2829.4711 16 12 7 10 0.060 2797.40 56 73 57 44 55 0.060 2838.0012 17 13 8 11 0.060 2803.58 57 74 58 45 56 0.060 2846.2013 18 14 9 12 0.060 2812.79 58 75 59 46 57 0.060 2854.4614 19 0 0 13 0.060 2820.81 59 76 60 47 58 0.060 2862.1615 23 16 10 0 0.060 2798.82 60 77 61 48 59 0.060 2869.7116 24 17 11 15 0.060 2807.14 61 78 62 49 60 0.060 2879.6417 25 18 12 16 0.060 2813.89 62 79 63 50 61 0.060 2887.4318 26 19 13 17 0.060 2820.33 63 80 0 0 62 0.060 2898.5719 27 20 14 18 0.060 2829.39 64 0 65 0 0 0.060 2764.9620 28 0 0 19 0.060 2837.85 65 82 66 0 64 0.060 2782.8721 0 29 0 0 0.060 2761.34 66 83 67 0 65 0.060 2789.7722 31 23 0 0 0.060 2800.87 67 84 68 0 66 0.060 2799.7723 32 24 15 22 0.060 2808.93 68 85 69 51 67 0.060 2808.4824 33 25 16 23 0.060 2816.44 69 86 70 52 68 0.060 2816.8125 34 26 17 24 0.060 2824.59 70 87 71 53 69 0.060 2825.1426 35 27 18 25 0.060 2829.87 71 88 72 54 70 0,060 2833,2927 36 28 19 26 0.060 2838.58 72 89 73 55 71 0.060 2841.2328 37 0 20 27 0.060 2847.50 73 90 74 56 72 0.060 2849.1329 39 30 0 21 0.060 2778.87 74 91 75 57 73 0.060 2856.6830 40 0 0 29 0.060 2787.59 75 92 76 58 74 0.060 2866.0031 43 32 22 0 0.060 2809.99 76 93 77 59 75 0.060 2874.0732 44 33 23 31 0.060 2818.02 77 94 78 60 76 0.060 2881.1733 45 34 24 32 0.060 2826.01 78 95 79 61 77 0.060 2889.2834 46 35 25 33 0.060 2833.28 79 96 80 62 78 0.060 2900.4435 47 36 26 34 0.060 2841.72 80 97 0 63 79 0.060 2910.7136 48 37 27 35 0.060 2849.02 81 99 82 0 0 10.060 2783.7437 49 38 28 36 0.060 2857.43 82 100 83 65 81 0.060 2790.6038 50 0 0 37 0.060 2865.90 83 101 84 66 82 0.060 2798.9239 51 40 29 0 0.060 2788.52 84 102 85 67 83 0.060 2809.3640 52 41 30 39 0.060 2796.08 85 103 86 68 84 0.060 2818.7741 53 42 0 40 0.060 2805.00 86 104 87 69 85 0.060 2827.1742 54 43 0 41 0.060 2812.57 87 105 88 70 86 0.060 2835.2743 55 44 31 42 0.060 2819.60 88 106 89 71 87 0.060 2843.3644 56 45 32 43 0.060 2827.83 89 107 90 72 88 0.060 2851.5545 57 46 33 44 0.060 2836.11 90 108 91 73 89 0.060 2860.83


112

91 109 92 74 90 0.060 2869.13 142 165 143 123 141 0.060 2857.2392 110 93 75 91 0.060 2878.73 143 166 144 124 142 0.060 2868.0193 111 94 76 92 0.060 2886.45 144 167 145 125 143 0.060 2877.5494 112 95 77 93 0.060 2892.97 145 168 146 126 144 0.060 2885.8295 113 96 78 94 0.060 2899.82 146 169 147 127 145 0.060 2896.1796 114 97 79 95 0.060 2910.18 147 170 148 128 146 0.060 2906.6497 115 98 80 96 0.060 2921.91 148 171 149 129 147 0 060 2916 1098 116 0 0 97 0.060 2934.42 149 172 150 130 148 0.060 2924.5099 118 100 81 0 0.060 2793.33 150 173 151 131 149 0.060 2933.25100 119 101 82 99 0.060 2802.10 151 174 152 132 150 0.060 2941.93101 120 102 83 100 0.060 2810.16 152 175 153 133 151 0.060 2950.20102 121 103 84 101 0.060 2819.43 153 176 154 134 152 0.060 2956.41103 122 104 85 102 0.060 2828.36 154 177 155 135 153 0.060 2965.03104 123 105 86 103 0.060 2836.26 155 178 0 0 154 0.060 2973.49105 124 106 87 104 0.060 2845.95 156 179 157 0 2726 0.060 2773.05106 125 107 88 105 0.060 2853.45 157 180 158 0 156 0.060 2785.61107 126 108 89 106 0.060 2861.70 158 181 159 0 157 0.060 2796.50108 127 109 90 107 0.060 2872.63 159 182 160 136 158 0.060 2807.44109 128 110 91 108 0.060 2882.35 160 183 161 137 159 0.060 2818.46110 129 111 92 109 0.060 2890.34 161 184 162 138 160 0.060 2828.85111 130 112 93 110 0.060 2898.73 162 185 163 139 161 0.060 2839.50112 131 113 94 111 0.060 2905.72 163 186 164 140 162 0.060 2850.37113 132 114 95 112 0.060 2912.97 164 187 165 141 163 0.060 2859.99114 133 115 96 113 0.060 2920.09 165 188 166 142 164 0.060 2868.77115 134 116 97 114 0.060 2930.49 166 189 167 143 165 0.060 2879.97116 135 0 98 115 0.060 2942.91 167 190 168 144 166 0.060 2890.59117 136 118 0 0 0.060 2791.53 168 191 169 145 167 0.060 2897.41118 137 119 99 117 0.060 2801.57 169 192 170 146 168 0.060 2909.47119 138 120 100 118 0.060 2811.40 170 193 171 147 169 0.060 2920.18120 139 121 101 119 0.060 2820.90 171 194 172 148 170 0.060 2929.56121 140 122 102 120 0.060 2829.84 172 195 173 149 171 0.060 2939.45122 141 123 103 121 0.060 2838.18 173 196 174 150 172 0.060 2948.71123 142 124 104 122 0.060 2847.43 174 197 175 151 173 0.060 2956.71124 143 125 105 123 0.060 2855.89 175 198 176 152 174 0.060 2964.12125 144 126 106 124 0.060 2865.24 176 199 177 153 175 0.060 2972.48126 145 127 107 125 0.060 2874.05 177 200 178 154 176 0.060 2981.28127 146 128 108 126 0.060 2883.17 178 201 0 155 177 0.060 2990.58128 147 129 109 127 0.060 2894.40 179 202 180 156 0 0.060 2783.07129 148 130 110 128 0.060 2902.79 180 203 181 157 179 0.060 2793.73130 149 131 111 129 0.060 2911.26 181 204 182 158 180 0.060 2804.23131 150 132 112 130 0.060 2918.21 182 205 183 159 181 0.060 2817.13132 151 133 113 131 0.060 2926.73 183 206 184 160 182 0.060 2827.64133 152 134 114 132 0.060 2934.59 184 207 185 161 183 0.060 2838.31134 153 135 115 133 0.060 2940.69 185 208 186 162 184 0.060 2848.60135 154 0 116 134 0.060 2950.65 186 209 187 163 185 0.060 2859.12136 159 137 117 0 0.060 2799.11 187 210 188 164 186 0.060 2870.35137 160 138 118 136 0.060 2809.85 188 211 189 165 187 0.060 2879.90138 161 139 119 137 0.060 2819.76 189 212 190 166 188 0.060 2890.41139 162 140 120 138 0.060 2830.50 190 213 191 167 189 0.060 2902.03140 163 141 121 139 0.060 2840.47 191 214 192 168 190 0.060 2913.90141 164 142 122 140 0.060 2848.16 192 215 193 169 191 0.060 2920.68


113

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114

295 323 296 267 294 0.060 3007.20 346 373 347 318 345 0 060 2972.94296 324 297 268 295 0.060 3018.52 347 374 348 319 346 0.060 2985.32297 325 298 269 296 0.060 3031.32 348 375 349 320 347 0.060 2996.68298 326 299 270 297 0.060 3042.02 349 376 350 321 348 0.060 3011.02299 327 300 271 298 0.060 3050.84 350 377 351 322 349 0.060 3021.99300 328 301 272 299 0.060 3061.37 351 378 352 323 350 0.060 3035.55301 329 302 273 300 0.060 3073.98 352 379 353 324 351 0.060 3049.13302 330 0 274 301 0.060 3081.41 353 380 354 325 352 0.060 3060.55303 331 304 275 0 0.060 2775.44 354 381 355 326 353 0.060 3070.51304 332 305 276 303 0.060 2786.79 355 382 356 327 354 0.060 3084.94305 333 306 277 304 0.060 2797.34 356 383 357 328 355 0.060 3095.39306 334 307 278 305 0.060 2809.34 357 384 358 329 356 0.060 3111.41307 335 308 279 306 0.060 2821.02 358 385 0 330 357 0.060 3120.13308 336 309 280 307 0.060 2833.18 359 387 360 332 0 0.060 2800.75309 337 310 281 308 0.060 2845.21 360 388 361 333 359 0.060 2813.72310 338 311 282 309 0.060 2856.31 361 389 362 334 360 0.060 2825.26311 339 312 283 310 0.060 2868.82 362 390 363 335 361 0.060 2838.61312 340 313 284 311 0.060 2881.39 363 391 364 336 362 0.060 2849.43313 341 314 285 312 0.060 2893.98 364 392 365 337 363 0.060 2861.52314 342 315 286 313 0.060 2906.38 365 393 366 338 364 0.060 2873.91315 343 316 287 314 0.060 2919.77 366 394 367 339 365 0.060 2886.38316 344 317 288 315 0.060 2934.46 367 395 368 340 366 0.060 2899.88317 345 318 289 316 0.060 2948.42 368 396 369 341 367 0.060 2912.21318 346 319 290 317 0.060 2959.31 369 397 370 342 368 0.060 2925.10319 347 320 291 318 0.060 2972.52 370 398 371 343 369 0.060 2934.30320 348 321 292 319 0.060 2985.71 371 399 372 344 370 0.060 2950.89321 349 322 293 320 0.060 2998.67 372 400 373 345 371 0.060 2964.87322 350 323 294 321 0.060 3008.13 373 401 374 346 372 0.060 2984.23323 351 324 295 322 0.060 3020.90 374 402 375 347 373 0.060 2998.06324 352 325 296 323 0.060 3035.84 375 403 376 348 374 0.060 3010.94325 353 326 297 324 0.060 3044.65 376 404 377 349 375 0.060 3024.63326 354 327 298 325 0.060 3056.41 377 405 378 350 376 0.060 3038.28327 355 328 299 326 0.060 3069.73 378 406 379 351 377 0.060 3049.87328 356 329 300 327 0.060 3079.37 379 407 380 352 378 0.060 3062.49329 357 330 301 328 0.060 3091.80 380 408 381 353 379 0.060 3076.82330 358 0 302 329 0.060 3099.52 381 409 382 354 380 0.060 3086.36331 0 332 303 0 0.060 2782.04 382 410 383 355 381 0.060 3096.56332 359 333 304 331 0.060 2793.64 383 411 384 356 382 0.060 3112.74333 360 334 305 332 0.060 2805.62 384 412 385 357 383 0.060 3125.07334 361 335 306 333 0.060 2818.27 385 413 0 358 384 0.060 3137.30335 362 336 307 334 0.060 2828.77 386 419 387 0 0 0.060 2795.82336 363 337 308 335 0.060 2840.97 387 420 388 359 386 0.060 2808.95337 364 338 309 336 0.060 2852.74 388 421 389 360 387 0.060 2821.27338 365 339 310 337 0.060 2865.25 389 422 390 361 388 0.060 2833.27339 366 340 311 338 0.060 2877.67 390 423 391 362 389 0.060 2846.12340 367 341 312 339 0.060 2889.15 391 424 392 353 390 0.060 2859.14341 368 342 313 340 0.060 2902.46 392 425 393 364 391 0.060 2870.32342 369 343 314 341 0.060 2916.55 393 426 394 365 392 0.060 2882.74343 370 344 315 342 0.060 2925.44 394 427 395 366 393 0.060 2894.75344 371 345 316 343 0.060 2942.25 395 428 395 367 394 0.060 2909.32345 372 346 317 344 0.060 2956.34 396 429 397 368 395 0.060 2922.29


115

397 430 398 369 396 0.060 2934.66 448 482 449 415 0 0.060 2762.23398 431 399 370 397 0.060 2947.80 449 483 450 416 448 0.060 2775.21399 432 400 371 398 0.060 2955.43 450 484 451 417 449 0.060 2786.00400 433 401 372 399 0.060 2975.59 451 485 452 418 450 0.060 2797.32401 434 402 373 400 0.060 2991.24 452 486 453 419 451 0.060 2809.54402 435 403 374 401 0.060 3008.39 453 487 454 420 452 0.060 2820.58403 436 404 375 402 0.060 3022.37 454 488 455 421 453 0.060 2834.25404 437 405 376 403 0.060 3037.34 455 489 456 422 454 0.060 2847.31405 438 406 377 404 0.060 3050.89 456 490 457 423 455 0.060 2860.30406 439 407 378 405 0.060 3064.40 457 491 458 424 456 0.060 2873.48407 440 408 379 406 0.060 3077.87 458 492 459 425 457 0.060 2886.30408 441 409 380 407 0.060 3093.47 459 493 460 426 458 0.060 2900.44409 442 410 381 408 0.060 3108.63 460 494 461 427 459 0.060 2915.23410 443 411 382 409 0.060 3118.79 461 495 462 428 460 0.060 2927.38411 444 412 383 410 0.060 3130.39 462 496 463 429 461 0.060 2939.06412 445 413 384 411 0.060 3137.62 463 497 464 430 462 0.060 2955.19413 446 414 385 412 0.060 3149.76 464 498 465 431 463 0.060 2969.43414 447 0 0 413 0.060 3158.37 465 499 466 432 464 0.060 2985.71415 448 416 0 2727 0.060 2749.33 466 500 467 433 465 0.060 2991.90416 449 417 0 415 0.060 2770.38 467 501 468 434 466 0.060 3007.47417 450 418 0 416 0.060 2781.18 468 502 469 435 467 0.060 3018.80418 451 419 0 417 0.060 2790.09 469 503 470 436 468 0.060 3038.73419 452 420 386 418 0.060 2802.00 470 504 471 437 469 0.060 3053.90420 453 421 387 419 0.060 2814.50 471 505 472 438 470 0.060 3072.75421 454 422 388 420 0.060 2827.17 472 506 473 439 471 0.060 3091.79422 455 423 389 421 0.060 2840.42 473 507 474 440 472 0.060 3106.95423 456 424 390 422 0.060 2853.21 474 508 475 441 473 0.060 3122.14424 457 425 391 423 0.060 2866.05 475 509 476 442 474 0.060 3136.92425 458 426 392 424 0.060 2879.61 476 510 477 443 475 0.060 3149.33426 459 427 393 425 0.060 2892.00 477 511 478 444 476 0.060 3161.40427 460 428 394 426 0.060 2904.83 478 512 479 445 477 0.060 3170.49428 461 429 395 427 0.060 2916.96 479 513 480 446 478 0.060 3181.98429 462 430 396 428 0.060 2931.61 480 514 481 447 479 0.060 3188.44430 463 431 397 429 0.060 2946.01 481 515 0 0 480 0.060 3215.38431 464 432 398 430 0.060 2960.45 482 517 483 448 0 0.060 2770.00432 465 433 399 431 0.060 2971.36 483 518 484 449 482 0.060 2776.64433 466 434 400 432 0.060 2985.71 484 519 485 450 483 0.060 2789.96434 467 435 401 433 0.060 2996.28 485 520 486 451 484 0.060 2802.29435 468 436 402 434 0.060 3017.40 486 521 487 452 485 0.060 2814.56436 469 437 403 435 0.060 3032.32 487 522 488 453 486 0.060 2827.05437 470 438 404 436 0.060 3047.58 488 523 489 454 487 0.060 2840.46438 471 439 405 437 0.060 3064.32 489 524 490 455 488 0.060 2854.28439 472 440 406 438 0.060 3079.49 490 525 491 456 489 0.060 2866.51440 473 441 407 439 0.060 3092.53 491 526 492 457 490 0.060 2878.71441 474 442 408 440 0.060 3110.18 492 527 493 458 491 0.060 2893.09442 475 443 409 441 0.060 3125.15 493 528 494 459 492 0.060 2907.29443 476 444 410 442 0.060 3136.05 494 529 495 460 493 0.060 2920.91444 477 445 411 443 0.060 3148.89 495 530 496 461 494 0.060 2934.67445 478 446 412 444 0.060 3149.76 496 531 497 462 495 0.060 2948.29446 479 447 413 445 0.060 3163.51 497 532 498 463 496 0.060 2961.34447 480 0 414 446 0.060 3175.24 498 533 499 464 497 0.060 2974.50


116

499 534 500 465 498 0.060 2987.67 550 587 551 515 549 0.060 3234.35500 535 501 466 499 0.060 3005.03 551 588 0 516 550 0.060 3245.81501 536 502 467 500 0.060 3018.52 552 0 589 0 0 0.060 2726.75502 537 503 468 501 0.060 3027.44 553 591 554 0 0 0.060 2762.00503 538 504 469 502 0.060 3049.48 554 592 555 517 553 0.060 2772.02504 539 505 470 503 0.060 3064.68 555 593 556 518 554 0.060 2784.23505 540 506 471 504 0.060 3082.20 556 594 557 519 555 0.060 2797.17506 541 507 472 505 0.060 3096.60 557 595 558 520 556 0.060 2810.37507 542 508 473 506 0.060 3119.14 558 596 559 521 557 0.060 2824.07508 543 509 474 507 0.060 3133.42 559 597 560 522 558 0.060 2837.48509 544 510 475 508 0.060 3147.31 560 598 561 523 559 0.060 2850.73510 545 511 476 509 0.060 3163.00 561 599 562 524 560 0.060 2863.90511 546 512 477 510 0.060 3176.48 562 600 563 525 561 0.060 2877.15512 547 513 478 511 0.060 3191.30 563 601 564 526 562 0.060 2888.35513 548 514 479 512 0.060 3199.25 564 602 565 527 563 0.060 2904.07514 549 515 480 513 0.060 3211.63 565 603 566 528 564 0.060 2920.09515 550 516 481 514 0.060 3215.38 566 604 567 529 565 0.060 2933.70516 551 0 0 515 0.060 3227.89 567 605 568 530 566 0.060 2948.19517 554 518 482 0 0.060 2767.47 568 606 569 531 567 0.060 2961.92518 555 519 483 517 0.060 2779.70 569 607 570 532 568 0.060 2975.50519 556 520 484 518 0.060 2792.62 570 608 571 533 569 0.060 2990.81520 557 521 485 519 0.060 2806.01 571 609 572 534 570 0.060 3006.65521 558 522 486 520 0.060 2818.73 572 610 573 535 571 0.060 3018.70522 559 523 487 521 0.060 2831.85 573 611 574 536 572 0.060 3034.67523 560 524 488 522 0.060 2845.68 574 612 575 537 573 0.060 3051.57524 561 525 489 523 0.060 2858.68 575 613 576 538 574 0.060 3067.42525 562 526 490 524 0.060 2872.14 576 614 577 539 575 0.060 3084.67526 563 527 491 525 0.060 2884.92 577 615 578 540 576 0.060 3104.85527 564 528 492 526 0.060 2898.74 578 616 579 541 577 0.060 3117.23528 565 529 493 527 0.060 2914.17 579 617 580 542 578 0.060 3134.10529 566 530 494 528 0.060 2928.48 580 618 581 543 579 0.060 3149.76530 567 531 495 529 0.060 2941.90 581 619 582 544 580 0.060 3170.45531 568 532 496 530 0.060 2955.72 582 620 583 545 581 0.060 3183.55532 569 533 497 531 0.060 2970.32 583 621 584 546 582 0.060 3203.40533 570 534 498 532 0.060 2985.07 584 622 585 547 583 0.060 3218.85534 571 535 499 533 0.060 2997.55 585 623 586 548 584 0.060 3233.58535 572 536 500 534 0.060 3012.45 586 624 587 549 585 0.060 3248.19536 573 537 501 535 0.060 3027.61 587 625 588 550 586 0.060 3251.10537 574 538 502 536 0.060 3042.77 588 626 0 551 587 0.060 3264.97538 575 539 503 537 0.060 3055.39 589 628 590 0 552 0.060 2740.69539 576 540 504 538 0.060 3075 14 590 629 591 0 589 0.060 2752.40540 577 541 505 539 0.060 3090.37 591 630 592 553 590 0 060 2764 10541 578 542 506 540 0.060 3109.12 592 631 593 554 591 0.060 2775.95542 579 543 507 541 0.060 3121.44 593 632 594 555 592 0.060 2787.94543 580 544 508 542 0.060 3144.47 594 633 595 556 593 0.060 2801.65544 581 545 509 543 0.060 3154.54 595 634 596 557 594 0.060 2814.54545 582 546 510 544 0.060 3174.27 596 635 597 558 595 0.060 2827.36546 583 547 511 545 0.060 3190.45 597 636 598 559 596 0.060 2841.72547 584 548 512 546 0.060 3205.11 598 637 599 560 597 0.060 2855.87548 585 549 513 547 0.060 3215.38 599 638 600 561 598 0.060 2869.03549 586 550 514 548 0.060 3221.94 600 639 601 562 599 0.060 2881.77


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122

1111 1161 1112 1060 1110 0.060 2783.461112 1162 1113 1061 1111 0.060 2796.121113 1163 1114 1062 1112 0.060 2808.531114 1164 1115 1063 1113 0.060 2821.131115 1165 1116 1064 1114 0.060 2834.631116 1166 1117 1065 1115 0.060 2848.011117 1167 1118 1066 1116 0.060 2859.401118 1168 1119 1067 1117 0.060 2876.161119 1169 1120 1068 1118 0.060 2887.281120 1170 1121 1069 1119 0.060 2905.971121 1171 1122 1070 1120 0.060 2920.461122 1172 1123 1071 1121 0.060 2937.001123 1173 1124 1072 1122 0.060 2953.221124 1174 1125 1073 1123 0.060 2970.421125 1175 1126 1074 1124 0.060 2985.711126 1176 1127 1075 1125 0.060 3001.451127 1177 1128 1076 1126 0.060 3018.521128 1178 1129 1077 1127 0.060 3031.591129 1179 1130 1078 1128 0.060 3050.501130 1180 1131 1079 1129 0.060 3060.201131 1181 1132 1080 1130 0.060 3079.421132 1182 1133 1081 1131 0.060 3092.051133 1183 1134 1082 1132 0.060 3116.951134 1184 1135 1083 1133 0.060 3129.681135 1185 1136 1084 1134 0.060 3151.231136 1186 1137 1085 1135 0.060 3169.051137 1187 1138 1086 1136 0.060 3187.171138 1188 1139 1087 1137 0.060 3205.911139 1189 1140 1088 1138 0.060 3222.421140 1190 1141 1089 1139 0.060 3238.241141 1191 1142 1090 1140 0.060 3253.091142 1192 1143 1091 1141 0.060 3273.621143 1193 1144 1092 1142 0.060 3293.011144 1194 1145 1093 1143 0.060 3311.641145 1195 1146 1094 1144 0.060 3328.991146 1196 1147 1095 1145 0.060 3346.891147 1197 1148 1096 1146 0.060 3369.661148 1198 1149 1097 1147 0.060 3389.551149 1199 1150 1098 1148 0.060 3406.451150 1200 1151 1099 1149 0.060 3423.681151 1201 1152 1100 1150 0.060 3442.331152 1202 1153 1101 1151 0.060 3458.481153 1203 1154 1102 1152 0.060 3477.861154 1204 1155 1103 1153 0.060 3493.821155 1205 1156 1104 1154 0.060 3509.531156 1206 1157 1105 1155 0.060 3528.091157 1207 1158 1106 1156 0.060 3545.511158 1208 0 1107 1157 0.060 3567.731159 1211 1160 1109 0 0.060 2756.041160 1212 1161 1110 1159 0.060 2769.611161 1213 1162 1111 1160 0.060 2783.69

1162 1214 1163 1112 1161 0.060 2796.181163 1215 1164 1113 1162 0.060 2809.331164 1216 1165 1114 1163 0.060 2822.561165 1217 1166 1115 1164 0.060 2837.031166 1218 1167 1116 1165 0.060 2851.541167 1219 1168 1117 1166 0.060 2864.001168 1220 1169 1118 1167 0.060 2879.831169 1221 1170 1119 1168 0.060 2892.841170 1222 1171 1120 1169 0.060 2908.611171 1223 1172 1121 1170 0.060 2923.881172 1224 1173 1122 1171 0.060 2938.931173 1225 1174 1123 1172 0.060 2952.901174 1226 1175 1124 1173 0.060 2965.031175 1227 1176 1125 1174 0.060 2982.771176 1228 1177 1126 1175 0.060 2998.891177 1229 1178 1127 1176 0.060 3018.401178 1230 1179 1128 1177 0.060 3030.741179 1231 1180 1129 1178 0.060 3050.251180 1232 1181 1130 1179 0.060 3062.961181 1233 1182 1131 1180 0.060 3079.831182 1234 1183 1132 1181 0.060 3098.991183 1235 1184 1133 1182 0.060 3118.761184 1236 1185 1134 1183 0.060 3135.591185 1237 1186 1135 1184 0.060 3151.301186 1238 1187 1136 1185 0.060 3170.831187 1239 1188 1137 1186 0.060 3187.861188 1240 1189 1138 1187 0.060 3206.121189 1241 1190 1139 1188 0.060 3221.941190 1242 1191 1140 1189 0.060 3238.351191 1243 1192 1141 1190 0.060 3255.031192 1244 1193 1142 1191 0.060 3273.581193 1245 1194 1143 1192 0.060 3292.721194 1246 1195 1144 1193 0.060 3311.881195 1247 1196 1145 1194 0.060 3328.691196 1248 1197 1146 1195 0.060 3345.681197 1249 1198 1147 1196 0.060 3367.941198 1250 1199 1148 1197 0.060 3386.601199 1251 1200 1149 1198 0.060 3403.151200 1252 1201 1150 1199 0.060 3418.221201 1253 1202 1151 1200 0.060 3436.411202 1254 1203 1152 1201 0.060 3454.181203 1255 1204 1153 1202 0.060 3471.051204 1256 1205 1154 1203 0.060 3485.051205 1257 1206 1155 1204 0,060 3504.041206 1258 1207 1156 1205 0.060 3520.861207 1259 1208 1157 1206 0.060 3534.301208 1260 0 1158 1207 0.060 3545.451209 0 1210 0 0 0.060 2736.011210 1261 1211 0 1209 0.060 2747.011211 1262 1212 1159 1210 0.060 2758.501212 1263 1213 1160 1211 0.060 2772.26


123

1213 1264 1214 1161 1212 0.060 2785.57 1264 1314 1265 1213 1263 0.060 2785.551214 1265 1215 1162 1213 0.060 2798.75 1265 1315 1266 1214 1264 0.060 2797.961215 1266 1216 1163 1214 0.060 2811.91 1266 1316 1267 1215 1265 0.060 2810.801216 1267 1217 1164 1215 0.060 2823.45 1267 1317 1268 1216 1266 0.060 2824.191217 1268 1218 1165 1216 0.060 2838.19 1268 1318 1269 1217 1267 0.060 2839.041218 1269 1219 1166 1217 0.060 2852.97 1269 1319 1270 1218 1268 0.060 2853.911219 1270 1220 1167 1218 0.060 2866.07 1270 1320 1271 1219 1269 0.060 2867.671220 1271 1221 1168 1219 0.060 2881.01 1271 1321 1272 1220 1270 0.060 2881.561221 1272 1222 1169 1220 0.060 2892.95 1272 1322 1273 1221 1271 0.060 2894.861222 1273 1223 1170 1221 0.060 2908.45 1273 1323 1274 1222 1272 0.060 2910.531223 1274 1224 1171 1222 0.060 2923.83 1274 1324 1275 1223 1273 0.060 2925.081224 1275 1225 1172 1223 0.060 2938.89 1275 1325 1276 1224 1274 0.060 2939.901225 1276 1226 1173 1224 0.060 2953.99 1276 1326 1277 1225 1275 0.060 2955.321226 1277 1227 1174 1225 0.060 2969.39 1277 1327 1278 1226 1276 0.060 2970.611227 1278 1228 1175 1226 0.060 2984.20 1278 1328 1279 1227 1277 0.060 2985.861228 1279 1229 1176 1227 0.060 2999.48 1279 1329 1280 1228 1278 0.060 3001.111229 1280 1230 1177 1228 0.060 3017.99 1280 1330 1281 1229 1279 0.060 3015.831230 1281 1231 1178 1229 0.060 3031.03 1281 1331 1282 1230 1280 0.060 3030.491231 1282 1232 1179 1230 0.060 3048.79 1282 1332 1283 1231 1281 0.060 3045.241232 1283 1233 1180 1231 0.060 3063.59 1283 1333 1284 1232 1282 0.060 3062.721233 1284 1234 1181 1232 0.060 3080.51 1284 1334 1285 1233 1283 0.060 3082.281234 1285 1235 1182 1233 0.060 3100.60 1285 1335 1286 1234 1284 0.060 3099.811235 1286 1236 1183 1234 0.060 3118.36 1286 1336 1287 1235 1285 0.060 3117.311236 1287 1237 1184 1235 0.060 3134.78 1287 1337 1288 1236 1286 0.060 3132.621237 1288 1238 1185 1236 0.060 3149.76 1288 1338 1289 1237 1287 0.060 3147.761238 1289 1239 1186 1237 0.060 3167.95 1289 1339 1290 1238 1288 0.060 3165.181239 1290 1240 1187 1238 0.060 3186.09 1290 1340 1291 1239 1289 0.060 3182.571240 1291 1241 1188 1239 0.060 3203.22 1291 1341 1292 1240 1290 0.060 3200.291241 1292 1242 1189 1240 0.060 3220.35 1292 1342 1293 1241 1291 0.060 3218.071242 1293 1243 1190 1241 0.060 3237.30 1293 1343 1294 1242 1292 0.060 3233.471243 1294 1244 1191 1242 0.060 3254.25 1294 1344 1295 1243 1293 0.060 3248.441244 1295 1245 1192 1243 0.060 3271.16 1295 1345 1296 1244 1294 0.060 3267.811245 1296 1246 1193 1244 0.060 3288.85 1296 1346 1297 1245 1295 0.060 3286.771246 1297 1247 1194 1245 0.060 3309.07 1297 1347 1298 1246 1296 0.060 3304.251247 1298 1248 1195 1246 0.060 3326.17 1298 1348 1299 1247 1297 0.060 3320.491248 1299 1249 1196 1247 0.060 3342.32 1299 1349 1300 1248 1298 0.060 3338.231249 1300 1250 1197 1248 0.060 3363.29 1300 1350 1301 1249 1299 0.060 3356.811250 1301 1251 1198 1249 0.060 3381.71 1301 1351 1302 1250 1300 0.060 3374.781251 1302 1252 1199 1250 0.060 3395.98 1302 1352 1303 1251 1301 0.060 3387.251252 1303 1253 1200 1251 0.060 3411.76 1303 1353 1304 1252 1302 0.060 3403.771253 1304 1254 1201 1252 0.060 3429.04 1304 1354 1305 1253 1303 0.060 3421.241254 1305 1255 1202 1253 0.060 3445.84 1305 1355 1306 1254 1304 0.060 3436.141255 1306 1256 1203 1254 0.060 3461.05 1306 1356 1307 1255 1305 0.060 3451.951256 1307 1257 1204 1255 0.060 3477.86 1307 1357 1308 1256 1306 0.060 3467.461257 1308 1258 1205 1256 0.060 3494.39 1308 1358 1309 1257 1307 0.060 3481.721258 1309 1259 1206 1257 0.060 3506.37 1309 1359 1310 1258 1308 0.060 3490.091259 1310 1260 1207 1258 0.060 3517.74 1310 1360 1311 1259 1309 0.060 3498.791260 1311 0 1208 1259 0.060 3526.73 1311 0 0 1260 1310 0.060 3510.671261 0 1262 1210 0 0.060 2748.52 1312 1361 1313 1262 0 0.060 2759.331262 1312 1263 1211 1261 0.060 2759.97 1313 1362 1314 1263 1312 0.060 2771.471263 1313 1264 1212 1262 0.060 2772.76 1314 1363 1315 1264 1313 0 060 2783 68


124

1315 1364 1316 1265 1314 0.060 2797.041316 1365 1317 1266 1315 0.060 2811.201317 1366 1318 1267 1316 0.060 2825.401318 1367 1319 1268 1317 0.060 2839.861319 1368 1320 1269 1318 0.060 2854.371320 1369 1321 1270 1319 0.060 2867.181321 1370 1322 1271 1320 0.060 2880.851322 1371 1323 1272 1321 0.060 2894.581323 1372 1324 1273 1322 0.060 2908.771324 1373 1325 1274 1323 0.060 2923.111325 1374 1326 1275 1324 0.060 2939.091326 1375 1327 1276 1325 0.060 2955.061327 1376 1328 1277 1326 0.060 2969.261328 1377 1329 1278 1327 0.060 2984.501329 1378 1330 1279 1328 0.060 3000.121330 1379 1331 1280 1329 0.060 3015.651331 1380 1332 1281 1330 0.060 3030.751332 1381 1333 1282 1331 0.060 3046.031333 1382 1334 1283 1332 0.060 3062.971334 1383 1335 1284 1333 0.060 3079.731335 1384 1336 1285 1334 0.060 3097.431336 1385 1337 1286 1335 0.060 3116.951337 1386 1338 1287 1336 0.060 3130.781338 1387 1339 1288 1337 0.060 3146.751339 1388 1340 1289 1338 0.060 3162.271340 1389 1341 1290 1339 0.060 3178.181341 1390 1342 1291 1340 0.060 3195.211342 1391 1343 1292 1341 0.060 3212.091343 1392 1344 1293 1342 0.060 3227.641344 1393 1345 1294 1343 0.060 3245.391345 1394 1346 1295 1344 0.060 3264.601346 1395 1347 1296 1345 0.060 3282.691347 1396 1348 1297 1346 0.060 3298.251348 1397 1349 1298 1347 0.060 3315.781349 1398 1350 1299 1348 0.060 3331.711350 1399 1351 1300 1349 0.060 3346.501351 1400 1352 1301 1350 0.060 3363.731352 1401 1353 1302 1351 0.060 3379.431353 1402 1354 1303 1352 0.060 3395.501354 1403 1355 1304 1353 0.060 3410.601355 1404 1356 1305 1354 0.060 3425.671356 1405 1357 1306 1355 0.060 3439.441357 1406 1358 1307 1356 0.060 3452.921358 1407 1359 1308 1357 0.060 3463.681359 1408 1360 1309 1358 0.060 3473.681360 0 0 1310 1359 0.060 3478.321361 1410 1362 1312 0 0.060 2758.581362 1411 1363 1313 1361 0.060 2771.251363 1412 1364 1314 1362 0.060 2783.921364 1413 1365 1315 1363 0.060 2796.701365 1414 1366 1316 1364 0.060 2810.80

1366 1415 1367 1317 1365 0.050 2825.301367 1416 1368 1318 1366 0.060 2840.391368 1417 1369 1319 1367 0.060 2854.471369 1418 1370 1320 1368 0.060 2865.861370 1419 1371 1321 1369 0.060 2879.981371 1420 1372 1322 1370 0.060 2893.041372 1421 1373 1323 1371 0.060 2909.171373 1422 1374 1324 1372 0.060 2924.441374 1423 1375 1325 1373 0.060 2938.581375 1424 1376 1326 1374 0.060 2952.421376 1425 1377 1327 1375 0.060 2967.611377 1426 1378 1328 1376 0.060 2983.101378 1427 1379 1329 1377 0.060 2996.971379 1428 1380 1330 1378 0.060 3014.051380 1429 1381 1331 1379 0.060 3029.211381 1430 1382 1332 1380 0.060 3045.201382 1431 1383 1333 1381 0.060 3061.601383 1432 1384 1334 1382 0.060 3077.641384 1433 1385 1335 1383 0.060 3092.791385 1434 1386 1336 1384 0.060 3111.561386 1435 1387 1337 1385 0.060 3128.271387 1436 1388 1338 1386 0.060 3144.471388 1437 1389 1339 1387 0.060 3158.261389 1438 1390 1340 1388 0.060 3173.021390 1439 1391 1341 1389 0.060 3189.461391 1440 1392 1342 1390 0.060 3206.281392 1441 1393 1343 1391 0.060 3222.401393 1442 1394 1344 1392 0.060 3240.691394 1443 1395 1345 1393 0.060 3257.821395 1444 1396 1346 1394 0.060 3274.261396 1445 1397 1347 1395 0.060 3291.051397 1446 1398 1348 1396 0.060 3308.001398 1447 1399 1349 1397 0.060 3321.401399 1448 1400 1350 1398 0.060 3337.251400 1449 1401 1351 1399 0.060 3354.081401 1450 1402 1352 1400 0.060 3371.321402 1451 1403 1353 1401 0.060 3386.261403 1452 1404 1354 1402 0.060 3400.141404 1453 1405 1355 1403 0.060 3411.151405 1454 1406 1356 1404 0.060 3425.481406 1455 1407 1357 1405 0.060 3435.031407 1456 1408 1358 1406" 0.060 3446.211408 0 0 1359 1407 0.060 3455.611409 1459 1410 0 0 0.060 2745.321410 1460 1411 1361 1409 0.060 2756.041411 1461 1412 1362 1410 0.060 2768.021412 1462 1413 1363 1411 0.060 2782.081413 1463 1414 1364 1412 0.060 2795.431414 1464 1415 1365 1413 0.060 2810.251415 1465 1416 1366 1414 0.060 2824.561416 1466 1417 1367 1415 0.060 2837.74


125

1417 1467 1418 1368 1416 0.060 2850.92 1468 1515 1469 1418 1467 0.060 2860.451418 1468 1419 1369 1417 0.060 2863.73 1469 1516 1470 1419 1468 0.060 2875.211419 1469 1420 1370 1418 0.060 2876.32 1470 1517 1471 1420 1469 0.060 2889.501420 1470 1421 1371 1419 0.060 2888.85 1471 1518 1472 1421 1470 0.060 2904.411421 1471 1422 1372 1420 0.060 2905.72 1472 1519 1473 1422 1471 0.060 2919.501422 1472 1423 1373 1421 0.060 2920.46 1473 1520 1474 1423 1472 0.060 2932.801423 1473 1424 1374 1422 0.060 2935.68 1474 1521 1475 1424 1473 0.060 2949.601424 1474 1425 1375 1423 0.060 2950.74 1475 1522 1476 1425 1474 0.060 2965.381425 1475 1426 1376 1424 0.060 2964.59 1476 1523 1477 1426 1475 0.060 2980.891426 1476 1427 1377 1425 0.060 2980.54 1477 1524 1478 1427 1476 0.060 2992.301427 1477 1428 1378 1426 0.060 2995.79 1478 1525 1479 1428 1477 0.060 3008.071428 1478 1429 1379 1427 0.060 3010.50 1479 1526 1480 1429 1478 0.060 3023.951429 1479 1430 1380 1428 0.060 3025.45 1480 1527 1481 1430 1479 0.060 3040.561430 1480 1431 1381 1429 0.060 3042.63 1481 1528 1482 1431 1480 0.060 3054.391431 1481 1432 1382 1430 0.060 3059.07 1482 1529 1483 1432 1481 0.060 3068.961432 1482 1433 1383 1431 0.060 3074.86 1483 1530 1484 1433 1482 0.060 3085.381433 1483 1434 1384 1432 0.060 3088.94 1484 1531 1485 1434 1483 0.060 3101.191434 1484 1435 1385 1433 0.060 3106.06 1485 1532 1486 1435 1484 0.060 3117.031435 1485 1436 1386 1434 0.060 3121.14 1486 1533 1487 1436 1485 0.060 3139.671436 1486 1437 1387 1435 0.060 3136.22 1487 1534 1488 1437 1486 0.060 3149.761437 1487 1438 1388 1436 0.060 3152.73 1488 1535 1489 1438 1487 0.060 3163.761438 1488 1439 1389 1437 0.060 3169.39 1489 1536 1490 1439 1488 0.060 3179.291439 1489 1440 1390 1438 0.060 3184.93 1490 1537 1491 1440 1489 0.060 3196.171440 1490 1441 1391 1439 0.060 3200.61 1491 1538 1492 1441 1490 0.060 3213.081441 1491 1442 1392 1440 0.060 3216.19 1492 1539 1493 1442 1491 0.060 3230.821442 1492 1443 1393 1441 0.060 3234.18 1493 1540 1494 1443 1492 0.060 3246.451443 1493 1444 1394 1442 0.060 3252.03 1494 1541 1495 1444 1493 0.060 3256.301444 1494 1445 1395 1443 0.060 3267.90 1495 1542 1496 1445 1494 0.060 3271.221445 1495 1446 1396 1444 0.060 3281.83 1496 1543 1497 1446 1495 0.060 3286.461446 1496 1447 1397 1445 0.060 3296.74 1497 1544 1498 1447 1496 0.060 3302.221447 1497 1448 1398 1446 0.060 3310.19 1498 1545 1499 1448 1497 0.060 3317611448 1498 1449 1399 1447 0.060 3326.37 1499 1546 1500 1449 1498 0.060 3333.141449 1499 1450 1400 1448 0.060 3344.26 1500 1547 1501 1450 1499 0.060 3348.301450 1500 1451 1401 1449 0.060 3359.83 1501 1548 1502 1451 1500 0.060 3360.911451 1501 1452 1402 1450 0.060 3374.46 1502 1549 1503 1452 1501 0.060 3373.901452 1502 1453 1403 1451 0.060 3384.86 1503 1550 1504 1453 1502 0.060 3383.641453 1503 1454 1404 1452 0.060 3399.60 1504 1551 1505 1454 1503 0.060 3393 171454 1504 1455 1405 1453 0.060 3408.44 1505 0 0 1455 1504 0.060 3408.401455 1505 1456 1406 1454 0.060 3416.57 1506 1552 1507 1459 0 0.060 2744.441456 0 0 1407 1455 0.060 3435.66 1507 1553 1508 1460 1506 0.060 2755.171457 0 1458 0 0 0.060 2722.50 1508 1554 1509 1461 1507 0.060 2766.201458 0 1459 0 1457 0.060 2733.11 1509 1555 1510 1462 1508 0.060 2778.661459 1506 1460 1409 1458 0.060 2743.71 1510 1556 1511 1463 1509 0.060 2791.461460 1507 1461 1410 1459 0.060 2755.12 1511 1557 1512 1464 1510 0.060 2805.691461 1508 1462 1411 1460 0.060 2767.63 1512 1558 1513 1465 1511 0.060 2819.931462 1509 1463 1412 1461 0.060 2780.64 1513 1559 1514 1466 1512 0.060 2833.641463 1510 1464 1413 1462 0.060 2792.82 1514 1560 1515 1467 1513 0.060 2848.581464 1511 1465 1414 1463 0.060 2808.26 1515 1561 1516 1468 1514 0.060 2860.971465 1512 1466 1415 1464 0.060 2822.95 1516 1562 1517 1469 1515 0.060 2873.841466 1513 1467 1416 1465 0.060 2835.73 1517 1563 1518 1470 1516 0.060 2887 161467 1514 1468 1417 1466 0.060 2849.15 1518 1564 1519 1471 1517 0.060 2902.75


126

1519 1565 1520 1472 1518 0.060 2918.811520 1566 1521 1473 1519 0.060 2933.781521 1567 1522 1474 1520 0.060 2949.171522 1568 1523 1475 1521 0.060 2961.331523 1569 1524 1476 1522 0.060 2973.781524 1570 1525 1477 1523 0.060 2988.951525 1571 1526 1478 1524 0.060 3007.411526 1572 1527 1479 1525 0.060 3019.461527 1573 1528 1480 1526 0.060 3034.531528 1574 1529 1481 1527 0.060 3049.541529 1575 1530 1482 1528 0.060 3065.561530 1576 1531 1483 1529 0.060 3082.561531 1577 1532 1484 1530 0.060 3095.891532 1578 1533 1485 1531 0.060 3109.591533 1579 1534 1486 1532 0.060 3117.421534 1580 1535 1487 1533 0.060 3149.761535 1581 1536 1488 1534 0.060 3159.711536 1582 1537 1489 1535 0.060 3174.941537 1583 1538 1490 1536 0.060 3189.961538 1584 1539 1491 1537 0.060 3204.901539 1585 1540 1492 1538 0.060 3216.771540 1586 1541 1493 1539 0.060 3234.271541 1587 1542 1494 1540 0.060 3248.191542 1588 1543 1495 1541 0.060 3262.331543 1589 1544 1496 1542 0.060 3277.961544 1590 1545 1497 1543 0.060 3291.461545 1591 1546 1498 1544 0.060 3306.871546 1592 1547 1499 1545 0.060 3320.721547 1593 1548 1500 1546 0.060 3333.021548 1594 1549 1501 1547 0.060 3346.491549 1595 1550 1502 1548 0.060 3359.791550 1596 1551 1503 1549 0.060 3370.211551 0 0 1504 1550 0.060 3385.021552 0 1553 1506 0 0.060 2743.981553 1597 1554 1507 1552 0.060 2754.431554 1598 1555 1508 1553 0.060 2765.871555 1599 1556 1509 1554 0.060 2778.661556 1600 1557 1510 1555 0.060 2790.591557 1601 1558 1511 1556 0.060 2804.291558 1602 1559 1512 1557 0.060 2817.561559 1603 1560 1513 1558 0.060 2830.221560 1604 1561 1514 1559 0.060 2843.411561 1605 1562 1515 1560 0.060 2854.821562 1606 1563 1516 1561 0.060 2868.761563 1607 1564 1517 1562 0.060 2884.421564 1608 1565 1518 1563 0.060 2898.201565 1609 1566 1519 1564 0.060 2913.521566 1610 1567 1520 1565 0.060 2926.741567 1611 1568 1521 1566 0.060 2942.151568 1612 1569 1522 1567 0.060 2953.271569 1613 1570 1523 1568 0.060 2969.15

1570 1614 1571 1524 1569 0.060 2984.741571 1615 1572 1525 1570 0.060 3001.081572 1616 1573 1526 1571 0.060 3018.521573 1617 1574 1527 1572 0.060 3028.621574 1618 1575 1528 1573 0.060 3044.391575 1619 1576 1529 1574 0.060 3058.111576 1620 1577 1530 1575 0.060 3072.791577 1621 1578 1531 1576 0.060 3084.141578 1622 1579 1532 1577 0.060 3097.001579 1623 1580 1533 1578 0.060 3123.201580 1624 1581 1534 1579 0.060 3140.081581 1625 1582 1535 1580 0.060 3152.231582 1626 1583 1536 1581 0.060 3165.701583 1627 1584 1537 1582 0.060 3181.031584 1628 1585 1538 1583 0.060 3195.331585 1629 1586 1539 1584 0.060 3210.811586 1630 1587 1540 1585 0.060 3225.281587 1631 1588 1541 1586 0.060 3238.971588 1632 1589 1542 1587 0.060 3252.801589 1633 1590 1543 1588 0.060 3265.321590 1634 1591 1544 1589 0.060 3278.441591 1635 1592 1545 1590 0.060 3291.391592 1636 1593 1546 1591 0.060 3305.221593 1637 1594 1547 1592 0.060 3317.251594 1638 1595 1548 1593 0.060 3332.721595 1639 1596 1549 1594 0.060 3346.281596 0 0 1550 1595 0.060 3359.991597 1642 1598 1553 0 0.060 2752.871598 1643 1599 1554 1597 0.060 2764.021599 1644 1600 1555 1598 0.060 2776.241600 1645 1601 1556 1599 0.060 2788.851601 1646 1602 1557 1600 0.060 2801.621602 1647 1603 1558 1601 0.060 2814.621603 1648 1604 1559 1602 0.060 2827.481604 1649 1605 1560 1603 0.060 2841.031605 1650 1606 1561 1604 0.060 2854.471606 1651 1607 1562 1605 0.060 2867.941607 1652 1608 1563 1606 0.060 2882.091608 1653 1609 1564 1607 0.060 2892.781609 1654 1610 1565 1608 0.060 2907.361610 1655 1611 1566 1609 0.060 2920.091611 1656 1612 1567 1610 0.060 2936.541612 1657 1613 1568 1611 0.060 2950.661613 1658 1614 1569 1612 0.060 2963.571614 1659 1615 1570 1613 0.060 2979.551615 1660 1616 1571 1614 0.060 2993.911616 1661 1617 1572 1615 0.060 3013.041617 1662 1618 1573 1616 0.060 3023.461618 1663 1619 1574 1617 0.060 3035.591619 1664 1620 1575 1618 0.060 3051.331620 1665 1621 1576 1619 0.060 3061.10


127

1621 1666 1622 1577 1620 0.060 3084.14 1672 1715 1673 1627 1671 0.060 3162.881622 1667 1623 1578 1621 0.060 3116.95 1673 1716 1674 1628 1672 0.060 3176.751623 1668 1624 1579 1622 0.060 3116.95 1674 1717 1675 1629 1673 0.060 3190.671624 1669 1625 1580 1623 0.060 3128.33 1675 1718 1676 1630 1674 0.060 3203.671625 1670 1626 1581 1624 0.060 3145.60 1676 1719 1677 1631 1675 0.060 3218.361626 1671 1627 1582 1625 0.060 3157.03 1677 1720 1678 1632 1676 0.060 3229.331627 1672 1628 1583 1626 0.060 3172.86 1678 1721 1679 1633 1677 0.060 3239.071628 1673 1629 1584 1627 0.060 3186.69 1679 1722 1680 1634 1678 0.060 3252.691629 1674 1630 1585 1628 0.060 3201.89 1680 1723 1681 1635 1679 0.060 3267.831630 1675 1631 1586 1629 0.060 3215.38 1681 1724 1682 1636 1680 0.060 3282.761631 1676 1632 1587 1630 0.060 3228.17 1682 1725 1683 1637 1681 0.060 3297.441632 1677 1633 1588 1631 0.060 3241.29 1683 1726 1684 1638 1682 0.060 3311.041633 1678 1634 1589 1632 0.060 3253.68 1684 1727 0 1639 1683 0.060 3318.781634 1679 1635 1590 1633 0.060 3262.95 1685 0 1686 1642 0 0.060 2750.581635 1680 1636 1591 1634 0.060 3277.57 1686 1728 1687 1643 1685 0.060 2760.001636 1681 1637 1592 1635 0.060 3292.24 1687 1729 1688 1644 1686 0.060 2773.481637 1682 1638 1593 1636 0.060 3308.15 1688 1730 1689 1645 1687 0.060 2786.631638 1683 1639 1594 1637 0.060 3322.34 1689 1731 1690 1646 1688 0.060 2798.171639 1684 0 1595 1638 0.060 3334.46 1690 1732 1691 1647 1689 0.060 2809.251640 0 1641 0 0 0.060 2728.67 1691 1733 1692 1648 1690 0.060 2820.491641 0 1642 0 1640 0.060 2739.35 1692 1734 1693 1649 1691 0.060 2833.211642 1685 1643 1597 1641 0.060 2750.04 1693 1735 1694 1650 1692 0.060 2846 211643 1686 1644 1598 1642 0.060 2758.42 1694 1736 1695 1651 1693 0.060 2859.461644 1687 1645 1599 1643 0.060 2773.13 1695 1737 1696 1652 1694 0.060 2874.181645 1688 1646 1600 1644 0.060 2788.16 1696 1738 1697 1653 1695 0.060 2887.281646 1689 1647 1601 1645 0.060 2797.99 1697 1739 1698 1654 1696 0.060 2899.761647 1690 1648 1602 1646 0.060 2810.72 1698 1740 1699 1655 1697 0.060 2912.961648 1691 1649 1603 1647 0.060 2821.66 1699 1741 1700 1656 1698 0.060 2925.901649 1692 1650 1604 1648 0.060 2834.83 1700 1742 1701 1657 1699 0.060 2939.341650 1693 1651 1605 1649 0.060 2848.74 1701 1743 1702 1658 1700 0.060 2952.901651 1694 1652 1606 1650 0.060 2862.27 1702 1744 1703 1659 1701 0.060 2968.061652 1695 1653 1607 1651 0.060 2875.98 1703 1745 1704 1660 1702 0.060 2980.771653 1696 1654 1608 1652 0.060 2887.82 1704 1746 1705 1661 1703 0.060 2994.591654 1697 1655 1609 1653 0.060 2902.23 1705 1747 1706 1662 1704 0.060 3009.491655 1698 1656 1610 1654 0.060 2916.70 1706 1748 1707 1663 1705 0.060 3022.791656 1699 1657 1611 1655 0.060 2930.01 1707 1749 1708 1664 1706 0.060 3041.931657 1700 1658 1612 1656 0.060 2944.05 1708 1750 1709 1665 1707 0.060 3056.801658 1701 1659 1613 1657 0.060 2957.25 1709 1751 1710 1666 1708 0.060 3070.391659 1702 1660 1614 1658 0.060 2972.93 1710 1752 1711 1667 1709 0.060 3085.541660 1703 1661 1615 1659 0.060 2988.70 1711 1753 1712 1668 1710 0.060 3099.171661 1704 1662 1616 1660 0.060 3004.39 1712 1754 1713 1669 1711 0.060 3114.111662 1705 1663 1617 1661 0.060 3017.44 1713 1755 1714 1670 1712 0.060 3127.401663 1706 1664 1618 1662 0.060 3024.88 1714 1756 1715 1671 1713 0.060 3140.751664 1707 1665 1619 1663 0.060 3043.25 1715 1757 1716 1672 1714 0.060 3149.761665 1708 1666 1620 1664 0.060 3061.55 1716 1758 1717 1673 1715 0.060 3163.581666 1709 1667 1621 1665 0.060 3081.08 1717 1759 1718 1674 1716 0.060 3178.991657 1710 1668 1622 1666 0.060 3089.56 1718 1760 1719 1675 1717 0.060 3193.931668 1711 1669 1623 1667 0.060 3107.08 1719 1761 1720 1676 1718 0.060 3206.461669 1712 1670 1624 1668 0.060 3121.65 1720 1762 1721 1677 1719 0.060 3215.381670 1713 1671 1625 1669 0.060 3136.00 1721 1763 1722 1678 1720 0.060 3226.651671 1714 1672 1626 1670 0.060 3149.76 1722 1764 1723 1679 1721 0.060 3244.79


128

1723 1765 1724 1680 1722 0.060 3258.26 1774 1814 1775 1733 1773 0.060 2816,431724 1766 1725 1681 1723 0.060 3271.01 1775 1815 1776 1734 1774 0.060 2828.051725 1767 1726 1682 1724 0.060 3284.86 1776 1816 1777 1735 1775 0.060 2840.601726 1768 1727 1683 1725 0.060 3296.18 1777 1817 1778 1736 1776 0.060 2851.891727 0 0 1684 1726 0.060 3308.68 1778 1818 1779 1737 1777 0.060 2862.661728 1769 1729 1686 0 0.060 2762.00 1779 1819 1780 1738 1778 0.060 2875.191729 1770 1730 1687 1728 0.060 2771.36 1780 1820 1781 1739 1779 0.060 2887.281730 1771 1731 1688 1729 0.060 2783.45 1781 1821 1782 1740 1780 0.060 2900.231731 1772 1732 1689 1730 0.060 2795.09 1782 1822 1783 1741 1781 0.060 2913.671732 1773 1733 1690 1731 0.060 2806.21 1783 1823 1784 1742 1782 0.060 2926.731733 1774 1734 1691 1732 0.060 2817.52 1784 1824 1785 1743 1783 0.060 2940.261734 1775 1735 1692 1733 0.060 2829.93 1785 1825 1786 1744 1784 0.060 2952.901735 1776 1736 1693 1734 0.060 2843.32 1786 1826 1787 1745 1785 0.060 2968.521736 1777 1737 1694 1735 0.060 2856.01 1787 1827 1788 1746 1786 0.060 2982.991737 1778 1738 1695 1736 0.060 2868.74 1788 1828 1789 1747 1787 0.060 2997.651738 1779 1739 1696 1737 0.060 2881.71 1789 1829 1790 1748 1788 0.060 3012.841739 1780 1740 1697 1738 0.060 2892.62 1790 1830 1791 1749 1789 0.060 3023.471740 1781 1741 1698 1739 0.060 2906.22 1791 1831 1792 1750 1790 0.060 3039.111741 1782 1742 1699 1740 0.060 2920.84 1792 1832 1793 1751 1791 0.060 3053.581742 1783 1743 1700 1741 0.060 2934.59 1793 1833 1794 1752 1792 0.060 3065.991743 1784 1744 1701 1742 0.060 2949.10 1794 1834 1795 1753 1793 0.060 3079.191744 1785 1745 1702 1743 0.060 2958.50 1795 1835 1796 1754 1794 0.060 3093.981745 1786 1746 1703 1744 0.060 2974.56 1796 1836 1797 1755 1795 0.060 3108.341746 1787 1747 1704 1745 0.060 2989.59 1797 1837 1798 1756 1796 0.060 3119.141747 1788 1748 1705 1746 0.060 3003.84 1798 1838 1799 1757 1797 0.060 3131.691748 1789 1749 1706 1747 0.060 3018.90 1799 1839 1800 1758 1798 0.060 3146.071749 1790 1750 1707 1748 0.060 3035.43 1800 1840 1801 1759 1799 0.060 3159.031750 1791 1751 1708 1749 0.060 3047.52 1801 1841 1802 1760 1800 0.060 3171.451751 1792 1752 1709 1750 0.060 3061.76 1802 1842 1803 1761 1801 0.060 3181.911752 1793 1753 1710 1751 0.060 3075.68 1803 1843 1804 1762 1802 0.060 3191.921753 1794 1754 1711 1752 0.060 3088.78 1804 1844 1805 1763 1803 0.060 3206.351754 1795 1755 1712 1753 0.060 3102.49 1805 1845 1806 1764 1804 0.060 3220.391755 1796 1756 1713 1754 0.060 3116.95 1806 1846 1807 1765 1805 0.060 3233.441756 1797 1757 1714 1755 0.050 3130.98 1807 1847 1808 1766 1806 0.060 3245.591757 1798 1758 1715 1756 0.060 3146.65 1808 1848 1809 1767 1807 0.060 3253.561758 1799 1759 1716 1757 0.060 3155.96 1809 0 0 1768 1808 0.060 3271.031759 1800 1760 1717 1758 0.060 3169.83 1810 1849 1811 1770 0 0.060 2768.001760 1801 1761 1718 1759 0.060 3182.57 1811 1850 1812 1771 1810 0.060 2778.121761 1802 1762 1719 1760 0.060 3191.48 1812 1851 1813 1772 1811 0.060 2790.131762 1803 1763 1720 1761 0.060 3206.14 1813 1852 1814 1773 1812 0.060 2801.981763 1804 1764 1721 1762 0.060 3218.72 1814 1853 1815 1774 1813 0.060 2813.581764 1805 1765 1722 1763 0.060 3232.33 1815 1854 1816 1775 1814 0.060 2823.271765 1806 1766 1723 1764 0.060 3245.75 1816 1855 1817 1776 1815 0.060 2835.211766 1807 1767 1724 1765 0.060 3258.08 1817 1856 1818 1777 1816 0.060 2846.221767 1808 1768 1725 1766 0.060 3270.87 1818 1857 1819 1778 1817 0.060 2856.571768 1809 0 1726 1767 0.060 3280.91 1819 1858 1820 1779 1818 0.060 2869.051769 0 1770 1728 0 0.060 2764.00 1820 1859 1821 1780 1819 0.060 2881.751770 1810 1771 1729 1769 0.060 2768.45 1821 1860 1822 1781 1820 0.060 2893.301771 1811 1772 1730 1770 0.060 2780.38 1822 1861 1823 1782 1821 0.060 2907.881772 1812 1773 1731 1771 0.060 2792.29 1823 1862 1824 1783 1822 0.060 2920.091773 1813 1774 1732 1772 0.060 2804.24 1824 1863 1825 1784 1823 0.060 2931.28


129

1825 1864 1826 1785 1824 0.060 2947.651826 1865 1827 1786 1825 0.060 2962.951827 1866 1828 1787 1826 0.060 2978.641828 1867 1829 1788 1827 0.060 2993.541829 1868 1830 1789 1828 0.060 3004.391830 1869 1831 1790 1829 0.060 3016.441831 1870 1832 1791 1830 0.060 3031.211832 1871 1833 1792 1831 0.060 3045.451833 1872 1834 1793 1832 0.060 3057.601834 1873 1835 1794 1833 0.060 3072.321835 1874 1836 1795 1834 0.060 3084.181836 1875 1837 1796 1835 0.060 3095.251837 1876 1838 1797 1836 0.060 3109.431838 1877 1839 1798 1837 0.060 3123.761839 1878 1840 1799 1838 0.060 3136.601840 1879 1841 1800 1839 0.060 3149.511841 1880 1842 1801 1840 0.060 3158.211842 1881 1843 1802 1841 0.060 3168.861843 1882 1844 1803 1842 0.060 3182.571844 1883 1845 1804 1843 0.060 3194.341845 1884 1846 1805 1844 0.060 3207.881846 1885 1847 1806 1845 0.060 3220.641847 1886 1848 1807 1846 0.060 3231.501848 0 0 1808 1847 0.060 3246.851849 1888 1850 1810 0 0.060 2763.011850 1889 1851 1811 1849 0.060 2774.521851 1890 1852 1812 1850 0.060 2785.901852 1891 1853 1813 1851 0.060 2796.691853 1892 1854 1814 1852 0.060 2807.751854 1893 1855 1815 1853 0.060 2819.271855 1894 1856 1816 1854 0.060 2829.761856 1895 1857 1817 1855 0.060 2841.841857 1896 1858 1818 1856 0.060 2852.661858 1897 1859 1819 1857 0.060 2863.591859 1898 1860 1820 1858 0.060 2876.801860 1899 1861 1821 1859 0.060 2890.161861 1900 1862 1822 1860 0.060 2903.741862 1901 1863 1823 1861 0.060 2917.401863 1902 1864 1824 1862 0.060 2928.131864 1903 1865 1825 1863 0.060 2943.501865 1904 1866 1826 1864 0.060 2955.601866 1905 1867 1827 1865 0.060 2969.911867 1906 1868 1828 1866 0.060 2985.711868 1907 1869 1829 1867 0.060 2998.581869 1908 1870 1830 1868 0.060 3012.031870 1909 1871 1831 1869 0.060 3022.801871 1910 1872 1832 1870 0.060 3037.391872 1911 1873 1833 1871 0.060 3048.801873 1912 1874 1834 1872 0.060 3062.461874 1913 1875 1835 1873 0.060 3074.991875 1914 1876 1836 1874 0.060 3086.26

1876 1915 1877 1837 1875 0.060 3101.681877 1916 1878 1838 1876 0.060 3113.361878 1917 1879 1839 1877 0.060 3124.471879 1918 1880 1840 1878 0.060 3137.001880 1919 1881 1841 1879 0.060 3146.111881 1920 1882 1842 1880 0.060 3158.671882 1921 1883 1843 1881 0.060 3172.001883 1922 1884 1844 1882 0.060 3182.501884 1923 1885 1845 1883 0.060 3195.451885 1924 1886 1846 1884 0.060 3207.071886 1925 0 1847 1885 0.060 3218.941887 1926 1888 0 0 0.060 2748.781888 1927 1889 1849 1887 0.060 2758.281889 1928 1890 1850 1888 0.060 2770.541890 1929 1891 1851 1889 0.060 2782.531891 1930 1892 1852 1890 0.060 2794.091892 1931 1893 1853 1891 0.060 2805.271893 1932 1894 1854 1892 0.060 2816.661894 1933 1895 1855 1893 0.060 2827.571895 1934 1896 1856 1894 0.060 2837.511896 1935 1897 1857 1895 0.060 2848.101897 1936 1898 1858 1896 0.060 2859.251898 1937 1899 1859 1897 0.060 2872.741899 1938 1900 1860 1898 0.060 2884.771900 1939 1901 1861 1899 0.060 2895.481901 1940 1902 1862 1900 0.060 2910.971902 1941 1903 1863 1901 0.060 2922.581903 1942 1904 1864 1902 0.060 2937.441904 1943 1905 1865 1903 0.060 2951.311905 1944 1906 1866 1904 0.060 2963.291906 1945 1907 1867 1905 0.060 2977.681907 1946 1908 1868 1906 0.060 2990.401908 1947 1909 1869 1907 0.060 3003.941909 1948 1910 1870 1908 0.060 3016.341910 1949 1911 1871 1909 0.060 3027.681911 1950 1912 1872 1910 0.060 3039.461912 1951 1913 1873 1911 0.060 3051.331913 1952 1914 1874 1912 0.060 3065.571914 1953 1915 1875 1913 0.060 3080.341915 1954 1916 1876 1914 0.060 3090.481916 1955 1917 1877 1915 0.060 3102.331917 1956 1918 1878 1916 0.060 3113.261918 1957 1919 1879 1917 0.060 3122.611919 1958 1920 1880 1918 0.060 3133.061920 1959 1921 1881 1919 0.060 3149.391921 1960 1922 1882 1920 0.060 3157.321922 1961 1923 1883 1921 0.060 3170.361923 1962 1924 1884 1922 0.060 3182.571924 1963 1925 1885 1923 0.060 3197.081925 0 0 1886 1924 0.060 3213.121926 1964 1927 1887 0 0.060 2746.31


130

1927 1965 1928 1888 1926 0.060 2757.441928 1966 1929 1889 1927 0.060 2768.981929 1967 1930 1890 1928 0.060 2779.791930 1968 1931 1891 1929 0.060 2790.241931 1969 1932 1892 1930 0.060 2800.421932 1970 1933 1893 1931 0.060 2811.401933 1971 1934 1894 1932 0.060 2822.021934 1972 1935 1895 1933 0.060 2833.231935 1973 1936 1896 1934 0.060 2844.071936 1974 1937 1897 1935 0.060 2854.471937 1975 1938 1898 1936 0.060 2866.271938 1976 1939 1899 1937 0.060 2879.011939 1977 1940 1900 1938 0.060 2890.341940 1978 1941 1901 1939 0.060 2905.311941 1979 1942 1902 1940 0.060 2920.091942 1980 1943 1903 1941 0.060 2932.851943 1981 1944 1904 1942 0.060 2944.101944 1982 1945 1905 1943 0.060 2953.511945 1983 1946 1906 1944 0.060 2968.151946 1984 1947 1907 1945 0.060 2984.091947 1985 1948 1908 1946 0.060 2996.141948 1986 1949 1909 1947 0.060 3006.291949 1987 1950 1910 1948 0.060 3018.651950 1988 1951 1911 1949 0.060 3032.241951 1989 1952 1912 1950 0.060 3044.651952 1990 1953 1913 1951 0.060 3055.861953 1991 1954 1914 1952 0.060 3067.541954 1992 1955 1915 1953 0.060 3080.131955 1993 1956 1916 1954 0.060 3089.781956 1994 1957 1917 1955 0.060 3101.461957 1995 1958 1918 1956 0.060 3111.581958 1996 1959 1919 1957 0.060 3123.331959 1997 1960 1920 1958 0.060 3135.861960 1998 1961 1921 1959 0.060 3149.131961 1999 1962 1922 1960 0.060 3159.451962 2000 1963 1923 1961 0.060 3172.911963 0 0 1924 1962 0.060 3185.081964 2003 1965 1926 0 0.060 2741.361965 2004 1966 1927 1964 0.060 2754.251966 2005 1967 1928 1965 0.060 2764.491967 2006 1968 1929 1966 0.060 2774.551968 2007 1969 1930 1967 0.060 2784.231969 2008 1970 1931 1968 0.060 2794.511970 2009 1971 1932 1969 0.060 2805.631971 2010 1972 1933 1970 0.060 2816.071972 2011 1973 1934 1971 0.060 2827.081973 2012 1974 1935 1972 0.060 2839.221974 2013 1975 1936 1973 0.060 2851.891975 2014 1976 1937 1974 0.060 2861.321976 2015 1977 1938 1975 0.060 2873.991977 2016 1978 1939 1976 0.060 2886.99

1978 2017 1979 1940 1977 0.060 2901.051979 2018 1980 1941 1978 0.060 2914.191980 2019 1981 1942 1979 0.060 2924.391981 2020 1982 1943 1980 0.060 2934.901982 2021 1983 1944 1981 0.060 2947.201983 2022 1984 1945 1982 0.060 2960.421984 2023 1985 1946 1983 0.060 2973.721985 2024 1986 1947 1984 0.060 2985.711986 2025 1987 1948 1985 0.060 2998.881987 2026 1988 1949 1986 0.060 3010.951988 2027 1989 1950 1987 0.060 3020.061989 2028 1990 1951 1988 0.060 3031.731990 2029 1991 1952 1989 0.060 3044.171991 2030 1992 1953 1990 0.060 3054.941992 2031 1993 1954 1991 0.060 3066.691993 2032 1994 1955 1992 0.060 3079.411994 2033 1995 1956 1993 0.060 3089.061995 2034 1996 1957 1994 0.060 3100.571996 2035 1997 1958 1995 0.060 3112.951997 2036 1998 1959 1996 0.060 3123.891998 2037 1999 1960 1997 0.060 3136.511999 2038 2000 1961 1998 0.060 3148.802000 0 0 1962 1999 0.060 3165.492001 0 2002 0 0 0.060 2714.592002 0 2003 0 2001 0.060 2723.182003 2039 2004 1964 2002 0.060 2735.822004 2040 2005 1965 2003 0.060 2746.512005 2041 2006 1966 2004 0.060 2758.172006 2042 2007 1967 2005 0.060 2768.202007 2043 2008 1968 2006 0.060 2778.612008 2044 2009 1969 2007 0.060 2789.102009 2045 2010 1970 2008 0.060 2800.182010 2046 2011 1971 2009 0.060 2811.722011 2047 2012 1972 2010 0.060 2822.012012 2048 2013 1973 2011 0.060 2834.712013 2049 2014 1974 2012 0.060 2845.792014 2050 2015 1975 2013 0.060 2857.792015 2051 2016 1976 2014 0.060 2870.432016 2052 2017 1977 2015 0.060 2882.532017 2053 2018 1978 2016 0.060 2893.952018 2054 2019 1979 2017 0.060 2904.792019 2055 2020 1980 2018 0.060 2916.542020 2056 2021 1981 2019 0.060 2925.822021 2057 2022 1982 2020 0.060 2939.692022 2058 2023 1983 2021 0.060 2952.902023 2059 2024 1984 2022 0.060 2964.592024 2060 2025 1985 2023 0.060 2977.602025 2061 2026 1986 2024 0.060 2990.182026 2062 2027 1987 2025 0.060 2999.242027 2063 2028 1988 2026 0.060 3011.012028 2064 2029 1989 2027 0.060 3020.45


131

2029 2065 2030 1990 2028 0.060 3033.42 2080 2114 2081 2046 2079 0.060 2801.642030 2066 2031 1991 2029 0.060 3043.37 2081 2115 2082 2047 2080 0.060 2812.542031 2067 2032 1992 2030 0.060 3053.48 2082 2116 2083 2048 2081 0.060 2823.402032 2068 2033 1993 2031 0.060 3068.40 2083 2117 2084 2049 2082 0.060 2835.322033 2069 2034 1994 2032 0.060 3079.48 2084 2118 2085 2050 2083 0.060 2847.162034 2070 2035 1995 2033 0.060 3091.93 2085 2119 2086 2051 2084 0.060 2858.432035 2071 2036 1996 2034 0.060 3101.48 2086 2120 2087 2052 2085 0.060 2869.252036 2072 2037 1997 2035 0.060 3115.27 2087 2121 2088 2053 2086 0.060 2879.312037 0 2038 1998 2036 0.060 3123.21 2088 2122 2089 2054 2087 0.060 2889.882038 0 0 1999 2037 0.060 3137.34 2089 2123 2090 2055 2088 0.060 2900.502039 2073 2040 2003 0 0.060 2727.00 2090 2124 2091 2056 2089 0.060 2911.192040 2074 2041 2004 2039 0.060 2739.20 2091 2125 2092 2057 2090 0.060 2922.812041 2075 2042 2005 2040 0.060 2752.03 2092 2126 2093 2058 2091 0.060 2933.502042 2076 2043 2006 2041 0.060 2763.35 2093 2127 2094 2059 2092 0.060 2947.682043 2077 2044 2007 2042 0.060 2773.95 2094 2128 2095 2060 2093 0.060 2954.972044 2078 2045 2008 2043 0.060 2784.45 2095 2129 2096 2061 2094 0.060 2965.262045 2079 2046 2009 2044 0.060 2795.64 2096 2130 2097 2062 2095 0.060 2978.552046 2080 2047 2010 2045 0.060 2807.16 2097 2131 2098 2063 2096 0.060 2990.692047 2081 2048 2011 2046 0.060 2817.99 2098 2132 2099 2064 2097 0.060 3003.482048 2082 2049 2012 2047 0.060 2827.34 2099 2133 2100 2065 2098 0.060 3013.652049 2083 2050 2013 2048 0.060 2840.60 2100 2134 2101 2066 2099 0.060 3022.602050 2084 2051 2014 2049 0.060 2851.90 2101 2135 2102 2067 2100 0.060 3033.712051 2085 2052 2015 2050 0.060 2863.91 2102 2136 2103 2068 2101 0.060 3045.582052 2086 2053 2016 2051 0.060 2875.52 2103 2137 2104 2069 2102 0.060 3057.222053 2087 2054 2017 2052 0.060 2886.80 2104 2138 2105 2070 2103 0.060 3069.272054 2088 2055 2018 2053 0.060 2897.81 2105 2139 2106 2071 2104 0.060 3080.352055 2089 2056 2019 2054 0.060 2909.08 2106 0 0 2072 2105 0.060 3092.602056 2090 2057 2020 2055 0.060 2919.74 2107 2141 2108 2073 0 0.060 2721.002057 2091 2058 2021 2056 0.060 2931.99 2108 2142 2109 2074 2107 0.060 2732.182058 2092 2059 2022 2057 0.060 2945.00 2109 2143 2110 2075 2108 0.060 2743.442059 2093 2060 2023 2058 0.060 2956.82 2110 2144 2111 2076 2109 0.060 2753.832060 2094 2061 2024 2059 0.060 2968.41 2111 2145 2112 2077 2110 0.060 2763.142061 2095 2062 2025 2060 0.060 2977.92 2112 2146 2113 2078 2111 0.060 2774.622062 2096 2063 2026 2061 0.060 2986.83 2113 2147 2114 2079 2112 0.060 2786.772063 2097 2064 2027 2062 0.060 2998.52 2114 2148 2115 2080 2113 0.060 2798.072064 2098 2065 2028 2063 0.060 3014.14 2115 2149 2116 2081 2114 0.060 2807.762065 2099 2066 2029 2064 0.060 3021.22 2116 2150 2117 2082 2115 0.060 2819.482066 2100 2067 2030 2065 0.060 3032.82 2117 2151 2118 2083 2116 0.060 2829.022067 2101 2068 2031 2066 0.060 3044.95 2118 2152 2119 2084 2117 0.060 2840.142068 2102 2069 2032 2067 0.060 3055.26 2119 2153 2120 2085 2118 0.060 2852.122069 2103 2070 2033 2068 0.060 3069.16 2120 2154 2121 2086 2119 0.060 2861.032070 2104 2071 2034 2069 0.060 3081.09 2121 2155 2122 2087 2120 0.060 2871.422071 2105 2072 2035 2070 0.060 3091.89 2122 2156 2123 2088 2121 0.060 2881.302072 2106 0 2036 2071 0 .060 3103.13 2123 2157 2124 2089 2122 0.060 2891.422073 2107 2074 2039 0 0 .060 2724.00 2124 2158 2125 2090 2123 0.060 2900.452074 2108 2075 2040 2073 0.060 2735.54 2125 2159 2126 2091 2124 0.060 2913.362075 2109 2076 2041 2074 0.060 2747.79 2126 2160 2127 2092 2125 0.060 2924.562076 2110 2077 2042 2075 0.060 2759.27 2127 2161 2128 2093 2126 0.060 2936.372077 2111 2078 2043 2076 0.060 2769.61 2128 2162 2129 2094 2127 0.060 2947.892078 2112 2079 2044 2077 0.060 2780.66 2129 2163 2130 2095 2128 0.060 2954.992079 2113 2080 2045 2078 0.060 2790.73 2130 2164 2131 2096 2129 0.060 2968.65


132

2131 2165 2132 2097 2130 0.060 2981.89 2182 2213 2183 2151 2181 0.060 2815 522132 2166 2133 2098 2131 0.060 2992.20 2183 2214 2184 2152 2182 0.060 2825.852133 2167 2134 2099 2132 0.060 3001.64 2184 2215 2185 2153 2183 0.060 2836.452134 2168 2135 2100 2133 0.060 3013.74 2185 2216 2186 2154 2184 0.060 2846.552135 2169 2136 2101 2134 0.060 3023.24 2186 2217 2187 2155 2185 0.060 2854.472136 2170 2137 2102 2135 0.060 3035.43 2187 2218 2188 2156 2186 0.060 2863.982137 2171 2138 2103 2136 0.060 3046.83 2188 2219 2189 2157 2187 0.060 2874.292138 2172 2139 2104 2137 0.060 3057.80 2189 2220 2190 2158 2188 0.060 2883.862139 0 0 2105 2138 0.060 3068.22 2190 2221 2191 2159 2189 0.060 2894.662140 0 2141 0 0 0.060 2712.17 2191 2222 2192 2160 2190 0.060 2907.022141 0 2142 2107 2140 0.060 2718.00 2192 2223 2193 2161 2191 0.060 2919.282142 2173 2143 2108 2141 0.060 2729.10 2193 2224 2194 2162 2192 0.060 2928.202143 2174 2144 2109 2142 0.060 2739.46 2194 2225 2195 2163 2193 0.060 2939.602144 2175 2145 2110 2143 0.060 2749.13 2195 2226 2196 2164 2194 0.060 2950.642145 2176 2146 2111 2144 0.060 2759.47 2196 2227 2197 2165 2195 0.060 2959.622146 2177 2147 2112 2145 0.060 2770.89 2197 2228 2198 2166 2196 0.060 2970.522147 2178 2148 2113 2146 0.060 2782.08 2198 2229 2199 2167 2197 0.060 2980.532148 2179 2149 2114 2147 0.060 2790.89 2199 2230 2200 2168 2198 0.060 2990.982149 2180 2150 2115 2148 0.060 2802.11 2200 2231 2201 2169 2199 0.060 3001.582150 2181 2151 2116 2149 0.060 2811.53 2201 2232 2202 2170 2200 0.060 3011.222151 2182 2152 2117 2150 0.060 2821.23 2202 2233 2203 2171 2201 0.060 3019.162152 2183 2153 2118 2151 0.060 2832.40 2203 0 0 2172 2202 0.060 3030.722153 2184 2154 2119 2152 0.060 2843.90 2204 2234 2205 2173 0 0.060 2721.182154 2185 2155 2120 2153 0.060 2854.47 2205 2235 2206 2174 2204 0.060 2730.872155 2186 2156 2121 2154 0.060 2862.58 2206 2236 2207 2175 2205 0.060 2741.012156 2187 2157 2122 2155 0.060 2872.26 2207 2237 2208 2176 2206 0.060 2750.352157 2188 2158 2123 2156 0.060 2881.30 2208 2238 2209 2177 2207 0.060 2759.412158 2189 2159 2124 2157 0.060 2891.00 2209 2239 2210 2178 2208 0.060 2769.752159 2190 2160 2125 2158 0.060 2905.10 2210 2240 2211 2179 2209 0.060 2779.142160 2191 2161 2126 2159 0.060 2917.39 2211 2241 2212 2180 2210 0.060 2788.852161 2192 2162 2127 2160 0.060 2927.26 2212 2242 2213 2181 2211 0.060 2799.852162 2193 2163 2128 2161 0.060 2938.74 2213 2243 2214 2182 2212 0.060 2810.122163 2194 2164 2129 2162 0.060 2949.42 2214 2244 2215 2183 2213 0.060 2819.902164 2195 2165 2130 2163 0.060 2960.88 2215 2245 2216 2184 2214 0.060 2829.772165 2196 2166 2131 2164 0.060 2971.56 2216 2246 2217 2185 2215 0.060 2838.882166 2197 2167 2132 2165 0.060 2981.12 2217 2247 2218 2186 2216 0.060 2848.022167 2198 2168 2133 2166 0.060 2991.66 2218 2248 2219 2187 2217 0.060 2855.962168 2199 2169 2134 2167 0.060 3001.92 2219 2249 2220 2188 2218 0.060 2865.472169 2200 2170 2135 2168 0.060 3013.89 2220 2250 2221 2189 2219 0.060 2874.732170 2201 2171 2136 2169 0.060 3024.58 2221 2251 2222 2190 2220 0.060 2884.392171 2202 2172 2137 2170 0.060 3034.23 2222 2252 2223 2191 2221 0.060 2894.592172 2203 0 2138 2171 0.060 3044.71 2223 2253 2224 2192 2222 0.060 2907.562173 2204 2174 2142 0 0.060 2725.17 2224 2254 2225 2193 2223 0.060 2917.232174 2205 2175 2143 2173 0.060 2734.89 2225 2255 2226 2194 2224 0.060 2928.902175 2206 2176 2144 2174 0.060 2744.81 2226 2256 2227 2195 2225 0.060 2939.082176 2207 2177 2145 2175 0.060 2754.75 2227 2257 2228 2196 2226 0.060 2947.872177 2208 2178 2146 2176 0.060 2765.60 2228 2258 2229 2197 2227 0.060 2957.342178 2209 2179 2147 2177 0.060 2776.07 2229 2259 2230 2198 2228 0.060 2967.892179 2210 2180 2148 2178 0.060 2786.05 2230 2260 2231 2199 2229 0.060 2979.182180 2211 2181 2149 2179 0.060 2795.59 2231 2261 2232 2200 2230 0.060 2987.832181 2212 2182 2150 2180 0.060 2804.85 2232 2262 2233 2201 2231 0.060 2997.93


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2233 2263 0 2202 2232 0.060 3007.432234 2264 2235 2204 0 0.060 2719.252235 2265 2236 2205 2234 0,060 2727.832236 2266 2237 2206 2235 0.060 2736.462237 2267 2238 2207 2236 0.060 2744.672238 2268 2239 2208 2237 0.060 2754.982239 2269 2240 2209 2238 0.060 2763.052240 2270 2241 2210 2239 0.060 2774.572241 2271 2242 2211 2240 0.060 2785.522242 2272 2243 2212 2241 0.060 2795.052243 2273 2244 2213 2242 0.060 2804.382244 2274 2245 2214 2243 0.060 2813.272245 2275 2246 2215 2244 0.060 2822.832246 2276 2247 2216 2245 0.060 2831.942247 2277 2248 2217 2246 0.060 2839.872248 2278 2249 2218 2247 0.060 2848.002249 2279 2250 2219 2248 0.060 2855.932250 2280 2251 2220 2249 0.060 2865.662251 2281 2252 2221 2250 0.060 2875.062252 2282 2253 2222 2251 0.060 2886.912253 2283 2254 2223 2252 0.060 2896.312254 2284 2255 2224 2253 0.060 2906.802255 2285 2256 2225 2254 0.060 2918.482256 2286 2257 2226 2255 0.060 2928.512257 2287 2258 2227 2256 0.060 2935.962258 2288 2259 2228 2257 0.060 2946.092259 2289 2260 2229 2258 0.060 2957.772260 2290 2261 2230 2259 0.060 2967.042261 2291 2262 2231 2260 0.060 2976.512262 2292 2263 2232 2261 0.060 2985.712263 0 0 2233 2262 0.060 2995.682264 2293 2265 2234 0 0.060 2714.032265 2294 2266 2235 2264 0.060 2723.232266 2295 2267 2236 2265 0.060 2730.532267 2296 2268 2237 2266 0.060 2739.612268 2297 2269 2238 2267 0.060 2748.782269 2298 2270 2239 2268 0.060 2758.792270 2299 2271 2240 2269 0.060 2768.192271 2300 2272 2241 2270 0.060 2779.442272 2301 2273 2242 2271 0.060 2788.852273 2302 2274 2243 2272 0.060 2796.052274 2303 2275 2244 2273 0.060 2806.592275 2304 2276 2245 2274 0.060 2815.722276 2305 2277 2246 2275 0.060 2823.142277 2306 2278 2247 2276 0.060 2831.542278 2307 2279 2248 2277 0.060 2838.532279 2308 2280 2249 2278 0.060 2847.642280 2309 2281 2250 2279 0.060 2857.442281 2310 2282 2251 2280 0.060 2867.032282 2311 2283 2252 2281 0.060 2875.722283 2312 2284 2253 2282 0.060 2885.13

2284 2313 2285 2254 2283 0.060 2895.732285 2314 2286 2255 2284 0.060 2908.032286 2315 2287 2256 2285 0.060 2916.202287 2316 2288 2257 2286 0.060 2924.412288 2317 2289 2258 2287 0.060 2935.112289 2318 2290 2259 2288 0.060 2946.502290 2319 2291 2260 2289 0.060 2954.312291 2320 2292 2261 2290 0.060 2963.962292 0 0 2262 2291 0.060 2973.612293 2322 2294 2264 0 0.060 2706.462294 2323 2295 2265 2293 0.060 2716.462295 2324 2296 2266 2294 0.060 2724.762296 2325 2297 2267 2295 0.060 2734.032297 2326 2298 2268 2296 0.060 2743.732298 2327 2299 2269 2297 0.060 2754.322299 2328 2300 2270 2298 0.060 2763.782300 2329 2301 2271 2299 0.060 2774.122301 2330 2302 2272 2300 0.060 2782.692302 2331 2303 2273 2301 0.060 2789.062303 2332 2304 2274 2302 0.060 2798.922304 2333 2305 2275 2303 0.060 2807.012305 2334 2306 2276 2304 0.060 2815.162306 2335 2307 2277 2305 0.060 2821.662307 2336 2308 2278 2306 0.060 2829.622308 2337 2309 2279 2307 0.060 2838.992309 2338 2310 2280 2308 0.060 2847.732310 2339 2311 2281 2309 0.060 2855.572311 2340 2312 2282 2310 0.060 2866.212312 2341 2313 2283 2311 0.060 2875.382313 2342 2314 2284 2312 0.060 2885.172314 2343 2315 2285 2313 0.060 2895.522315 2344 2316 2286 2314 0.060 2903.522316 2345 2317 2287 2315 0.060 2913.392317 2346 2318 2288 2316 0.060 2923.472318 2347 2319 2289 2317 0.060 2933.822319 2348 2320 2290 2318 0.060 2940.842320 0 0 2291 2319 0.060 2950.912321 0 2322 0 0 0.060 2690.422322 0 2323 2293 2321 0.060 2700.622323 2349 2324 2294 2322 0.060 2711.592324 2350 2325 2295 2323 0.060 2720.482325 2351 2326 2296 2324 0.060 2728.532326 2352 2327 2297 2325 0.060 2739.062327 2353 2328 2298 2326 0.060 2748.032328 2354 2329 2299 2327 0.060 2757.272329 2355 2330 2300 2328 0.060 2765.762330 2356 2331 2301 2329 0.060 2774.392331 2357 2332 2302 2330 0.060 2782.722332 2358 2333 2303 2331 0.060 2790.912333 2359 2334 2304 2332 0.060 2799.282334 2360 2335 2305 2333 0.060 2807.52


134

2335 2361 2336 2306 2334 0.060 2814.202336 2362 2337 2307 2335 0.060 2821.662337 2363 2338 2308 2336 0.060 2829.562338 2364 2339 2309 2337 0.060 2838.132339 2365 2340 2310 2338 0.060 2847.932340 2366 2341 2311 2339 0.060 2856.352341 2367 2342 2312 2340 0.060 2865.072342 2368 2343 2313 2341 0.060 2875.422343 2369 2344 2314 2342 0.060 2885.062344 2370 2345 2315 2343 0.060 2894.122345 2371 2346 2316 2344 0.060 2902.422346 2372 2347 2317 2345 0.060 2912.982347 2373 2348 2318 2346 0.060 2920.092348 2374 0 2319 2347 0.060 2927.962349 2375 2350 2323 0 0.060 2705.992350 2376 2351 2324 2349 0.060 2714.772351 2377 2352 2325 2350 0.060 2724.072352 2378 2353 2326 2351 0.060 2732.882353 2379 2354 2327 2352 0.060 2741.592354 2380 2355 2328 2353 0.060 2750.152355 2381 2356 2329 2354 0.060 2757.322356 2382 2357 2330 2355 0.060 2766.032357 2383 2358 2331 2356 0.060 2775.232358 2384 2359 2332 2357 0.060 2784.512359 2385 2360 2333 2358 0.060 2792.292360 2386 2361 2334 2359 0.060 2799.672361 2387 2362 2335 2360 0.060 2807.132362 2388 2363 2336 2361 0.060 2814.592363 2389 2364 2337 2362 0.060 2821.662364 2390 2365 2338 2363 0.060 2828.752365 2391 2366 2339 2364 0.060 2838.152366 2392 2367 2340 2365 0.060 2847.822367 2393 2368 2341 2366 0.060 2856.212368 2394 2369 2342 2367 0.060 2866.802369 2395 2370 2343 2368 0.060 2876.162370 2396 2371 2344 2369 0.060 2883.212371 2397 2372 2345 2370 0.060 2890.982372 2398 2373 2346 2371 0.060 2898.612373 2399 2374 2347 2372 0.060 2907.982374 0 0 2348 2373 0.060 2916.802375 2400 2376 2349 0 0.060 2701.102376 2401 2377 2350 2375 0.060 2710.212377 2402 2378 2351 2376 0.060 2718.072378 2403 2379 2352 2377 0.060 2724.782379 2404 2380 2353 2378 0.060 2733.962380 2405 2381 2354 2379 0.060 2742.532381 2406 2382 2355 2380 0.060 2750.922382 2407 2383 2356 2381 0.060 2759.552383 2408 2384 2357 2382 0.060 2768.242384 2409 2385 2358 2383 0.060 2776.092385 2410 2386 2359 2384 0.060 2784.48

2386 2411 2387 2360 2385 0.060 2792.232387 2412 2388 2361 2386 0.060 2799.742388 2413 2389 2362 2387 0.060 2807.352389 2414 2390 2363 2388 0.060 2814.042390 2415 2391 2364 2389 0.060 2820.472391 2416 2392 2365 2390 0.060 2828.952392 2417 2393 2366 2391 0.060 2838.912393 2418 2394 2367 2392 0.060 2848.282394 2419 2395 2368 2393 0.060 2856.672395 2420 2396 2369 2394 0.060 2863.792396 2421 2397 2370 2395 0.060 2871.612397 2422 2398 2371 2396 0.060 2880.342398 2423 2399 2372 2397 0.060 2887.422399 0 0 2373 2398 0.060 2896.612400 2424 2401 2375 0 0.060 2696.312401 2425 2402 2376 2400 0.060 2704.502402 2426 2403 2377 2401 0.060 2711.642403 2427 2404 2378 2402 0.060 2719.712404 2428 2405 2379 2403 0.060 2726.192405 2429 2406 2380 2404 0.060 2734.402406 2430 2407 2381 2405 0.060 2743.592407 2431 2408 2382 2406 0.060 2752.002408 2432 2409 2383 2407 0.060 2759.642409 2433 2410 2384 2408 0.060 2767.092410 2434 2411 2385 2409 0.060 2775.812411 2435 2412 2386 2410 0 060 2784.192412 2436 2413 2387 2411 0.060 2791.892413 2437 2414 2388 2412 0.060 2798.012414 2438 2415 2389 2413 0.060 2805.462415 2439 2416 2390 2414 0.060 2811.122416 2440 2417 2391 2415 0.060 2821.162417 2441 2418 2392 2416 0.060 2829.882418 2442 2419 2393 2417 0.060 2838.082419 2443 2420 2394 2418 0.060 2845.192420 2444 2421 2395 2419 0.060 2853.512421 2445 2422 2396 2420 0.060 2861.082422 2446 2423 2397 2421 0.060 2869.192423 0 0 2398 2422 0.060 2877.732424 2447 2425 2400 0 0.060 2690.952425 2448 2426 2401 2424 0.060 2697.922426 2449 2427 2402 2425 0.060 2706.092427 2450 2428 2403 2426 0.060 2713.942428 2451 2429 2404 2427 0.060 2720.762429 2452 2430 2405 2428 0.060 2727.562430 2453 2431 2406 2429 0.060 2735.922431 2454 2432 2407 2430 0.060 2744.592432 2455 2433 2408 2431 0.060 2751.532433 2456 2434 2409 2432 0.060 2758 162434 2457 2435 2410 2433 0.060 2766.802435 2458 2436 2411 2434 0.060 2775.202436 2459 2437 2412 2435 0.060 2783.44


135

2437 2460 2438 2413 2436 0.060 2789.96 2488 2510 2489 2465 2487 0.060 2808.152438 2461 2439 2414 2437 0.060 2796.23 2489 2511 2490 2466 2488 0.060 2814.352439 2462 2440 2415 2438 0.060 2801.56 2490 2512 2491 2467 2489 0.060 2821.662440 2463 2441 2416 2439 0.060 2811.67 2491 2513 0 2468 2490 0.060 2828.892441 2464 2442 2417 2440 0.060 2819.43 2492 2514 2493 2470 0 0.060 2678.952442 2465 2443 2418 2441 0.060 2826.76 2493 2515 2494 2471 2492 0.060 2681.932443 2466 2444 2419 2442 0.060 2835.16 2494 2516 2495 2472 2493 0.060 2687.742444 2467 2445 2420 2443 0.060 2842.46 2495 2517 2496 2473 2494 0.060 2692.722445 2468 2446 2421 2444 0.060 2850.07 2496 2518 2497 2474 2495 0.060 2699.312446 2469 0 2422 2445 0 .060 2857.80 2497 2519 2498 2475 2496 0.060 2708.692447 2470 2448 2424 0 0.060 2690.42 2498 2520 2499 2476 2497 0.060 2719.072448 2471 2449 2425 2447 0.060 2691.98 2499 2521 2500 2477 2498 0.060 2726.582449 2472 2450 2426 2448 0.060 2699.70 2500 2522 2501 2478 2499 0.060 2732.852450 2473 2451 2427 2449 0.060 2706.92 2501 2523 2502 2479 2500 0.060 2738472451 2474 2452 2428 2450 0.060 2715.01 2502 2524 2503 2480 2501 0.060 2743.802452 2475 2453 2429 2451 0.060 2721.83 2503 2525 2504 2481 2502 0.060 2751.032453 2476 2454 2430 2452 0.060 2729.98 2504 2526 2505 2482 2503 0.060 2757.332454 2477 2455 2431 2453 0.060 2737.57 2505 2527 2506 2483 2504 0.060 2763.902455 2478 2456 2432 2454 0.060 2745.08 2506 2528 2507 2484 2505 0.060 2769.972456 2479 2457 2433 2455 0.060 2752.85 2507 2529 2508 2485 2506 0.060 2777.562457 2480 2458 2434 2456 0.060 2757.04 2508 2530 2509 2486 2507 0.060 2785.852458 2481 2459 2435 2457 0.060 2766.65 2509 2531 2510 2487 2508 0.060 2792.112459 2482 2460 2436 2458 0.060 2773.91 2510 2532 2511 2488 2509 0.060 2798.732460 2483 2461 2437 2459 0.060 2781.27 2511 2533 2512 2489 2510 0.060 2804.772461 2484 2462 2438 2460 0.060 2786.70 2512 2534 2513 2490 2511 0.060 2812.392462 2485 2463 2439 2461 0.060 2790.63 2513 0 0 2491 2512 0.060 2820.792463 2486 2464 2440 2462 0.060 2799.02 2514 0 2515 2492 0 0.060 2662.512464 2487 2465 2441 2463 0.060 2809.20 2515 2535 2516 2493 2514 0.060 2672.362465 2488 2466 2442 2464 0.060 2817.64 2516 2536 2517 2494 2515 0.060 2678.892466 2489 2467 2443 2465 0.060 2824.45 2517 2537 2518 2495 2516 0.060 2685.822467 2490 2468 2444 2466 0.060 2831.31 2518 2538 2519 2496 2517 0.060 2691.702468 2491 2469 2445 2467 0.060 2839.99 2519 2539 2520 2497 2518 0.060 2700.612469 0 0 2446 2468 0.060 2847.88 2520 2540 2521 2498 2519 0.060 2708.062470 2492 2471 2447 0 0.060 2689.00 2521 2541 2522 2499 2520 0.060 2717.762471 2493 2472 2448 2470 0.060 2690.42 2522 2542 2523 2500 2521 0.060 2725.742472 2494 2473 2449 2471 0.060 2693.48 2523 2543 2524 2501 2522 0.060 2730.792473 2495 2474 2450 2472 0.060 2701.38 2524 2544 2525 2502 2523 0.060 2737.002474 2496 2475 2451 2473 0.060 2706.61 2525 2545 2526 2503 2524 0.060 2743.822475 2497 2476 2452 2474 0.060 2715.06 2526 2546 2527 2504 2525 0.060 2750.202476 2498 2477 2453 2475 0.060 2724.13 2527 2547 2528 2505 2526 0.060 2756.042477 2499 2478 2454 2476 0.060 2732.51 2528 2548 2529 2506 2527 0.060 2763.182478 2500 2479 2455 2477 0.060 2739.72 2529 2549 2530 2507 2528 0.060 2771.342479 2501 2480 2456 2478 0.060 2745.31 2530 2550 2531 2508 2529 0.060 2777.912480 2502 2481 2457 2479 0.060 2751.09 2531 2551 2532 2509 2530 0.060 2783.982481 2503 2482 2458 2480 0.060 2757.77 2532 2552 2533 2510 2531 0.060 2788.942482 2504 2483 2459 2481 0.060 2765.88 2533 2553 2534 2511 2532 0.060 2795.362483 2505 2484 2460 2482 0.060 2772.38 2534 0 0 2512 2533 0.060 2803.352484 2506 2485 2461 2483 0.060 2778.10 2535 2554 2536 2515 0 0.060 2660.002485 2507 2486 2462 2484 0.060 2783.98 2536 2555 2537 2516 2535 0.060 2670.622486 2508 2487 2463 2485 0.060 2791.98 2537 2556 2538 2517 2536 0 060 2678.662487 2509 2488 2464 2486 0.060 2800.55 2538 2557 2539 2518 2537 0.060 2684.28


136

2539 2558 2540 2519 2538 0.060 2690.192540 2559 2541 2520 2539 0.060 2697.522541 2560 2542 2521 2540 0.060 2708.362542 2561 2543 2522 2541 0.060 2718.522543 2562 2544 2523 2542 0.060 2723.232544 2563 2545 2524 2543 0.060 2729.632545 2564 2546 2525 2544 0.060 2736.792546 2565 2547 2526 2545 0.060 2742.322547 2566 2548 2527 2546 0.060 2749.772548 2567 2549 2528 2547 0.060 2756.142549 2568 2550 2529 2548 0.060 2761.992550 2569 2551 2530 2549 0.060 2767.192551 2570 2552 2531 2550 0.060 2774.542552 2571 2553 2532 2551 0.060 2781 292553 2572 0 2533 2552 0.060 2787.732554 2573 2555 2535 0 0.060 2657.612555 2574 2556 2536 2554 0.060 2664.852556 2575 2557 2537 2555 0.060 2670.852557 2576 2558 2538 2556 0.060 2677.162558 2577 2559 2539 2557 0.060 2683.362559 2578 2560 2540 2558 0.060 2688.612560 2579 2561 2541 2559 0.060 2697.052561 2580 2562 2542 2560 0.060 2705.232562 2581 2563 2543 2561 0.060 2715.362563 2582 2564 2544 2562 0.060 2723.232564 2583 2565 2545 2563 0.060 2729.052565 2584 2566 2546 2564 0.060 2735.532566 2585 2567 2547 2565 0.060 2741.282567 2586 2568 2548 2566 0.060 2747.642568 2587 2569 2549 2567 0.060 2752.012569 2588 2570 2550 2568 0.060 2758.092570 2589 2571 2551 2569 0.060 2764.892571 2590 2572 2552 2570 0.060 2772.622572 0 0 2553 2571 0.060 2779.262573 2591 2574 2554 0 0.060 2653.412574 2592 2575 2555 2573 0.060 2657.612575 2593 2576 2556 2574 0.060 2663.972576 2594 2577 2557 2575 0.060 2670.722577 2595 2578 2558 2576 0.060 2675.992578 2596 2579 2559 2577 0.060 2681 802579 2597 2580 2560 2578 0.060 2688.652580 2598 2581 2561 2579 0.060 2696.702581 2599 2582 2562 2580 0.060 2703.972582 2600 2583 2563 2581 0.060 2712.092583 2601 2584 2564 2582 0.060 2720.702584 2602 2585 2565 2583 0.060 2727.082585 2603 2586 2566 2584 0.060 2733.252586 2604 2587 2567 2585 0.060 2739.102587 2605 2588 2568 2586 0.060 2744.502588 2606 2589 2569 2587 0.060 2750.912589 2607 2590 2570 2588 0.060 2757.52

2590 0 0 2571 2589 0.060 2764.412591 2608 2592 2573 0 0.060 2645.412592 2609 2593 2574 2591 0.060 2651.542593 2610 2594 2575 2592 0.060 2658.092594 2611 2595 2576 2593 0.060 2663.582595 2612 2596 2577 2594 0.060 2669.232596 2613 2597 2578 2595 0.060 2676.092597 2614 2598 2579 2596 0.060 2682.182598 2615 2599 2580 2597 0.060 2687,702599 2616 2600 2581 2598 0.060 2693.082600 2617 2601 2582 2599 0.060 2702.002601 2618 2602 2583 2600 0.060 2710.352602 2619 2603 2584 2601 0.060 2717.932603 2620 2604 2585 2602 0.060 2725.312604 2621 2605 2586 2603 0.060 2731 362605 2622 2606 2587 2604 0.060 2737.272606 2623 2607 2588 2605 0.060 2744.062607 0 0 2589 2606 0.060 2750.752608 2624 2609 2591 0 0.060 2638.652609 2625 2610 2592 2608 0.060 2644.982610 2626 2611 2593 2609 0.060 2652.062611 2627 2612 2594 2610 0.060 2657.532612 2628 2613 2595 2611 0.060 2663.502613 2629 2614 2596 2612 0.060 2669.972614 2630 2615 2597 2613 0.060 2675.772615 2631 2616 2598 2614 0.060 2681.032616 2632 2617 2599 2615 0.060 2685.682617 2633 2618 2600 2616 0.060 2692.342618 2634 2619 2601 2617 0.060 2700.462619 2635 2620 2602 2618 0.060 2709.052620 2636 2621 2603 2619 0.060 2716.572621 2637 2622 2604 2620 0.060 2723.892622 2638 2623 2605 2621 0.060 2730.752623 0 0 2606 2622 0.060 2737.062624 0 2625 2608 0 0.060 2634.002625 2639 2626 2609 2624 0.060 2640.682626 2640 2627 2610 2625 0.060 2646 132627 2641 2628 2611 2626 0.060 2651.252628 2642 2629 2612 2627 0.060 2657 792629 2643 2630 2613 2628 0.060 2663.772630 2644 2631 2614 2629 0.060 2669.052631 2645 2632 2615 2630 0.060 2673.512632 2646 2633 2616 2631 0.060 2678.932633 2647 2634 2617 2632 0.060 2685.952634 2648 2635 2618 2633 0.060 2690.452635 2649 2636 2619 2634 0.060 2697.632636 2650 2637 2620 2635 0.060 2708.092637 2651 2638 2621 2636 0.060 2715.912638 0 0 2622 2637 0.060 2723.342639 2652 2640 2625 0 0.060 2630.502640 2653 2641 2626 2639 0.060 2639.35


137

2641 2654 2642 2627 26402642 2655 2643 2628 26412643 2656 2644 2629 26422644 2657 2645 2630 26432645 2658 2646 2631 26442646 2659 2647 2632 26452647 2660 2648 2633 26462648 2661 2649 2634 26472649 2662 2650 2635 26482650 2663 2651 2636 26492651 0 0 2637 2650 0.060 2705.742652 2664 2653 2639 0 0.060 2628.002653 2665 2654 2640 2652 0.060 2634.162654 2666 2655 2641 26532655 2667 2656 2642 26542656 2668 2657 2643 26552657 2669 2658 2644 26562658 2670 2659 2645 26572659 2671 2660 2646 26582660 2672 2661 2647 26592661 2673 2662 2648 26602662 2674 2663 2649 26612663 0 0 2650 2662 0.060 2689.682664 2675 2665 2652 0 0.060 2624.002665 2676 2666 2653 2664 0.060 2631.312666 2677 2667 2654 26652667 2678 2668 2655 26662668 2679 2669 2656 26672669 2680 2670 2657 26682670 2681 2671 2658 26692671 2682 2672 2659 26702672 2683 2673 2660 26712673 2684 2674 2661 26722674 0 0 2662 2673 0.060 2678.572675 2685 2676 2664 0 0.060 2620.002676 2686 2677 2665 2675 0.060 2627.322677 2687 2678 2666 26762678 2688 2679 2667 26772679 2689 2680 2668 26782680 2690 2681 2669 26792681 2691 2682 2670 26802682 2692 2683 2671 26812683 2693 2684 2672 26822684 0 0 2673 2683 0.060 2667.462685 2694 2686 2675 0 0.060 2615.00

0.060 2645.88 0.060 2653.14 0.060 2657.61 0.060 2661.62 0.060 2666.14 0.060 2673.51 0.060 2680.00 0.060 2685.52 0.060 2690.42 0.060 2698.82

0.060 2642.26 0.060 2647.72 0.060 2652.41 0.060 2657.39 0.060 2661.01 0.060 2667.95 0.060 2673.81 0.060 2679.90 0.060 2684.88

0.060 2637.52 0.060 2642.60 0.060 2647.56 0.060 2652.54 0.060 2657.38 0.060 2662.25 0.060 2668.65 0.060 2673.88

0.060 2632.80 0.060 2637.72 0.060 2642.57 0.060 2647.19 0.060 2652.10 0.060 2657.42 0.060 2662.71

2686 2695 2687 2676 26852687 2696 2688 2677 26862688 2697 2689 2678 26872689 2698 2690 2679 26882690 2699 2691 2680 26892691 2700 2692 2681 26902692 2701 2693 2682 26912693 0 0 2683 2692 0.060 2657.612694 2702 2695 2685 0 0.060 2610.002695 2703 2696 2686 2694 0.060 2620.722696 2704 2697 2687 26952697 2705 2698 2688 26952698 2706 2699 2689 26972699 2707 2700 2690 26982700 2708 2701 2691 26992701 0 0 2692 2700 0.060 2647.692702 2709 2703 2694 0 0.060 2606.002703 2710 2704 2695 2702 0.060 2617.772704 2711 2705 2696 27032705 2712 2706 2697 27042706 2713 2707 2698 27052707 2714 2708 2699 27062708 0 0 2700 27072709 0 2710 2702 0

0.060 2623.78 0.060 2627.88 0.060 2632.51 0.060 2637.00 0.060 2642.09 0.060 2647.53 0.060 2652.91

0.060 2623.81 0.060 2626.80 0.060 2632.21 0.060 2637.63 0.060 2642.88

0.060 2621.46 0.060 2624.80 0.060 2627.74 0.060 2632.65

0.060 2637.45 0.060 2600.00

2710 2715 2711 2703 27092711 2716 2712 2704 27102712 2717 2713 2705 27112713 2718 2714 2706 2712

0,060 2615.30 0.060 2618.34 0.060 2621.56 0.060 2624.80

2714 2719 0 2707 2713 0.060 2627.212715 2720 2716 2710 0 0.060 2610.002716 2721 2717 2711 2715 0.060 2613.992717 2722 2718 2712 2716 0.060 2618.482718 0 2719 2713 2717 0.060 2622.862719 0 0 2714 2718 0.060 2624.692720 0 2721 2715 2728 0.060 2607.002721 2723 2722 2716 2720 0.060 2611.152722 2724 0 2717 2721 0.060 2616.012723 0 2724 2721 0 0.060 2610.00

0 0 2722 2723 0.060 2612.37 0 1 0 0 0.060 2769.00

27242725272627272728

0 156 0 415 0 2720

000

0.060 2758.00 0.060 2740.00 0.060 2600.00


138

Table 17. FPINOUT.DAT Input file for the FL0-2D UPRR1 alluvial fan model.

FPINOUT.DAT

1058358 3.833

3.91712574.13390.

.00 0. 4.000 13851.

.083 0. 4.083 13875.

.167 3. 4.167 13448.

.250 20. 4.250 12692.

.333 78. 4.333 11736.

.417 216. 4.417 10697.

.500 438. 4.500 9659.

.583 717. 4.583 8745.

.667 1015. 4.667 8031.

.750 1340. 4.750 7550.

.833 1670. 4.833 7299.

.917 1968. 4.917 7240.1.000 2212. 5.000 7274.1.083 2355. 5.083 7302.1.167 2411. 5.167 7302.1.250 2399. 5.250 7205.1.333 2343. 5.333 6967.1.417 2271. 5.417 6586.1.500 2210. 5.500 6064.1.583 2179. 5.583 5448.1.667 2185. 5.667 4791.1.750 2230. 5.750 4174.1.833 2301. 5.833 3547.1.917 2403. 5.917 3016.2.000 2534. 6.000 2558.2.083 2688. 6.083 2168.2.167 2830. 6.167 1837.2.250 2942. 6.250 1555.2.333 3005. 6.333 1316.2.417 3021. 6.417 1111.2.500 3002. 6.500 932.2.583 2952. 6.583 775.2.667 2865. 6.667 635.2.750 2768. 6.750 512.2.833 2696. 6.833 408.2.917 2691. 6.917 320.3.000 2792. 7.000 248.3.083 3020. 7.250 108.3.167 3417. 7.500 44.3.250 4005. 7.750 17,3.333 4824. 8.000 6.3.417 5868. 163.500 7218. 2725 21 64 2726 253.583 8772. 14573.667 10270. 1640 2001 2140 23213.750 11518. 0 0


139

Part 2: UPRR2 Alluvial Fan

Table 18. CONT.DAT and MULT.DAT Input files for the FL0-2D UPRR2 alluvial fan model.

CONT.DAT MULT.DAT

1. 6.00.02 0 0 2 1 5. 01209 0 2 0 0 .1 7 5 .3 50.4.0 1 0.050 1 12090 0 0 1 0 0 0 0 00. 0. 1. -0.99 0 3 0 0


140

Table 19. FPLAIN.DAT input file for the FL0-2D UPRR2 alluvial fan model.

FPLAIN.DAT

1 4 0 0 0 .05 2768.20 46 58 47 35 45 .05 2812.682 9 3 0 0 .05 2780.54 47 59 48 36 46 .05 2808.303 10 4 0 2 .05 2777.70 48 60 49 37 47 .05 2804.574 11 0 1 3 .05 2773.72 49 61 0 38 48 .05 2798.905 13 6 0 0 .05 2801.00 50 63 51 0 0 .05 2846.116 14 7 0 5 .05 2796.67 51 64 52 39 50 .05 2843.887 15 8 0 6 .05 2792.20 52 65 53 40 51 .05 2840.238 16 9 0 7 .05 2788.68 53 66 54 41 52 .05 2836.739 17 10 2 8 .05 2786.99 54 67 55 42 53 .05 2833.6010 18 11 3 9 .05 2783.18 55 68 56 43 54 .05 2830.5411 19 0 4 10 .05 2779.28 56 69 57 44 55 .05 2826.5212 21 13 0 0 .05 2810.68 57 70 58 45 56 .05 2821.4913 22 14 5 12 .05 2806.45 58 71 59 46 57 .05 2818.3214 23 15 6 13 .05 2802.20 59 72 60 47 58 .05 2814.5315 24 16 7 14 .05 2797.95 60 73 61 48 59 .05 2810.0416 25 17 8 15 .05 2794.23 61 74 0 49 60 .05 2805.3317 26 18 9 16 .05 2790.70 62 75 63 0 0 .05 2855.5918 27 19 10 17 .05 2788.65 63 76 64 50 62 .05 2853.3919 28 0 11 18 .05 2784.33 64 77 65 51 63 .05 2849.8820 30 21 0 0 .05 2819.31 65 78 66 52 64 .05 2846.1121 31 22 12 20 .05 2816.19 66 79 67 53 65 .05 2842.5222 32 23 13 21 .05 2812.20 67 80 68 54 66 .05 2841.2523 33 24 14 22 .05 2807.75 68 81 69 55 67 .05 2837.1724 34 25 15 23 .05 2803.98 69 82 70 56 68 .05 2832.0725 35 26 16 24 .05 2800.44 70 83 71 57 69 .05 2825.8826 36 27 17 25 .05 2796.79 71 84 72 58 70 .05 2821.7827 37 28 18 26 .05 2792.67 72 85 73 59 71 .05 2821.1828 38 0 19 27 .05 2788.68 73 86 74 60 72 .05 2816.5629 40 30 0 0 .05 2827.78 74 87 0 61 73 .05 2812.3230 41 31 20 29 .05 2824.58 75 89 76 62 0 .05 2863.1631 42 32 21 30 .05 2821.49 76 90 77 63 75 .05 2859.7532 43 33 22 31 .05 2817.74 77 91 78 64 76 .05 2855,4733 44 34 23 32 .05 2813.80 78 92 79 65 77 .05 2852.2734 45 35 24 33 .05 2810.19 79 93 80 66 78 .05 2850.2735 46 36 25 34 .05 2806.73 80 94 81 67 79 .05 2848.0536 47 37 26 35 .05 2802.68 81 95 82 68 80 .05 2843.2637 48 38 27 36 .05 2798.27 82 96 83 69 81 .05 2836 9238 49 0 28 37 .05 2793.67 83 97 84 70 82 .05 2832.7439 51 40 0 0 .05 2836.28 84 98 85 71 83 .05 2829.4640 52 41 29 39 .05 2834.12 85 99 86 72 84 .05 2825.3741 53 42 30 40 .05 2830.68 86 100 87 73 85 .05 2822.2942 54 43 31 41 .05 2826.58 87 101 0 74 86 .05 2819 5643 55 44 32 42 .05 2823.50 88 104 89 0 0 05 2873.6044 56 45 33 43 .05 2820.05 89 105 90 75 88 .05 2870.4945 57 46 34 44 .05 2816.44 90 106 91 76 89 .05 2867.40


141

91 107 92 77 90 .05 2862.66 142 168 143 0 141 .05 2806.3292 108 93 78 91 .05 2859.71 143 169 144 0 142 .05 2800.3993 109 94 79 92 .05 2856.38 144 170 0 119 143 .05 2800.0394 110 95 80 93 .05 2854.30 145 172 146 0 0 .05 2899.9595 111 96 81 94 .05 2848.30 146 173 147 120 145 .05 2897.6296 112 97 82 95 .05 2843.39 147 174 148 121 146 .05 2895.1597 113 98 83 96 .05 2840.60 148 175 149 122 147 .05 2893.2798 114 99 84 97 .05 2836.87 149 176 150 123 148 .05 2890.1999 115 100 85 98 .05 2833.04 150 177 151 124 149 .05 2886.48100 116 101 86 99 .05 2830.48 151 178 152 125 150 .05 2883.56101 117 102 87 100 .05 2827.25 152 179 153 126 151 .05 2879.31102 118 0 0 101 .05 2829.00 153 180 154 127 152 .05 2876.15103 120 104 0 0 .05 2884.54 154 181 155 128 153 .05 2871.21104 121 105 88 103 .05 2881.10 155 182 156 129 154 .05 2866.35105 122 106 89 104 .05 2878.26 156 183 157 130 155 .05 2864.02106 123 107 90 105 .05 2874.79 157 184 158 131 156 .05 2860.95107 124 108 91 106 .05 2870.75 158 185 159 132 157 .05 2857.05108 125 109 92 107 .05 2867.70 159 186 160 133 158 .05 2853.38109 126 110 93 108 .05 2863.93 160 187 161 134 159 .05 2849.54110 127 111 94 109 .05 2859.18 161 188 162 135 160 .05 2846.39111 128 112 95 110 .05 2854.30 162 189 163 136 161 .05 2842.84112 129 113 96 111 .05 2851.50 163 190 164 137 162 .05 2837.29113 130 114 97 112 .05 2847.82 164 191 165 138 163 .05 2832.88114 131 115 98 113 .05 2844.24 165 192 166 139 164 .05 2828.11115 132 116 99 114 .05 2841.67 166 193 167 140 165 .05 2825.04116 133 117 100 115 .05 2838.14 167 194 168 141 166 .05 2820.45117 134 118 101 116 .05 2834.97 168 195 169 142 167 .05 2813.90118 135 0 ■102 117 .05 2836.00 169 196 170 143 168 .05 2808.37119 144 0 0 0 .05 2791.26 170 197 0 144 •169 .05 2807.74120 146 121 103 0 .05 2891.27 171 198 172 0 0 .05 2910.93121 147 122 104 120 .05 2888.35 172 199 173 145 171 .05 2907.33122 148 123 105 121 .05 2886.11 173 200 174 146 172 .05 2904.12123 149 124 106 122 .05 2882.87 174 201 175 147 173 .05 2902.02124 150 125 107 123 .05 2878.51 175 202 176 148 174 .05 2900.11125 151 126 108 124 .05 2875.63 176 203 177 149 175 .05 2897.09126 152 127 109 125 .05 2871.48 177 204 178 150 176 .05 2892.06127 153 128 110 126 .05 2866.69 178 205 179 151 177 .05 2890.11128 154 129 111 127 .05 2862.74 179 206 180 152 178 .05 2887.89129 155 130 112 128 .05 2858.02 180 207 181 153 179 .05 2884.72130 156 131 113 129 .05 2854.90 181 208 182 154 180 .05 2879.67131 157 132 114 130 .05 2852.37 182 209 183 155 181 .05 2875.31132 158 133 115 131 .05 2849.43 183 210 184 156 182 .05 2872.99133 159 134 116 132 .05 2845.69 184 211 185 157 183 .05 2870.04134 160 135 117 133 .05 2842.37 185 212 186 158 184 .05 2866.01135 161 136 118 134 .05 2838.15 186 213 187 159 185 .05 2861.49136 162 137 0 135 .05 2835.04 187 214 188 160 186 .05 2857.00137 163 138 0 136 .05 2829.90 188 215 189 161 187 .05 2854.30138 164 139 0 137 .05 2824.70 189 216 190 162 188 .05 2850.12139 165 140 0 138 .05 2821.09 190 217 191 163 189 .05 2844.52140 166 141 0 139 .05 2816.61 191 218 192 164 190 .05 2839.85141 167 142 0 140 .05 2813.25 192 219 193 165 191 .05 2835.75


142

193 220 194 166 192 .05 2832.33 244 272 245 217 243 .05 2859.00194 221 195 167 193 .05 2826.67 245 273 246 218 244 .05 2854.70195 222 196 168 194 .05 2821.49 246 274 247 219 245 .05 2850.94196 223 197 169 195 .05 2816.50 247 275 248 220 246 .05 2846.54197 224 0 •170 •196 .05 2813.36 248 276 249 221 247 .05 2841.72198 225 199 171 0 .05 2917.08 249 277 250 222 248 .05 2834.91199 226 200 172 198 .05 2913.56 250 278 251 223 249 .05 2829.18200 227 201 173 199 .05 2910.89 251 279 0 224 250 .05 2823.47201 228 202 174 200 .05 2909.00 252 280 253 0 0 .05 2935.52202 229 203 175 201 .05 2907.25 253 281 254 225 252 .05 2930.41203 230 204 176 202 .05 2904.34 254 282 255 226 253 .05 2928.22204 231 205 177 203 .05 2900.64 255 283 256 227 254 .05 2925.48205 232 206 178 204 .05 2898.89 256 284 257 228 255 .05 2924.05206 233 207 179 205 .05 2895.91 257 285 258 229 256 .05 2923.04207 234 208 180 206 .05 2890.92 258 286 259 230 257 .05 2920.76208 235 209 181 207 .05 2887.22 259 287 260 231 258 .05 2917.99209 236 210 182 208 .05 2884.53 260 288 261 232 259 .05 2915.31210 237 211 183 209 .05 2881.88 261 289 262 233 260 .05 2911.99211 238 212 184 210 .05 2879.00 262 290 263 234 261 .05 2908.01212 239 213 185 211 .05 2873.80 263 291 264 235 262 .05 2904.74213 240 214 186 212 .05 2869.21 264 292 265 236 263 .05 2901.79214 241 215 187 213 .05 2865.59 265 293 266 237 264 .05 2898.75215 242 216 188 214 .05 2862.38 266 294 267 238 265 .05 2893.94216 243 217 189 215 .05 2857.44 267 295 268 239 266 .05 2888.03217 244 218 190 216 .05 2851.78 268 296 269 240 267 .05 2885.99218 245 219 191 217 .05 2847.04 269 297 270 241 268 .05 2882.06219 246 220 192 218 .05 2843.66 270 298 271 242 269 .05 2878.14220 247 221 193 219 .05 2838.80 271 299 272 243 270 .05 2872.63221 248 222 194 220 .05 2834.01 272 300 273 244 271 .05 2867.47222 249 223 195 221 .05 2829.21 273 301 274 245 272 .05 2862.28223 250 224 196 222 .05 2823.59 274 302 275 246 273 .05 2856.38224 251 0 197 223 .05 2818.22 275 303 276 247 274 .05 2853.34225 253 226 198 0 .05 2923.94 276 304 277 248 275 .05 2846.30226 254 227 199 225 .05 2919.95 277 305 278 249 276 .05 2840.64227 255 228 200 226 .05 2917.66 278 306 279 250 277 .05 2835.01228 256 229 201 227 .05 2916.00 279 307 0 251 278 .05 2829.42229 257 230 202 228 .05 2914.72 280 308 281 252 0 .05 2941.55230 258 231 203 229 .05 2912.08 281 309 282 253 280 .05 2938.20231 259 232 204 230 .05 2909.27 282 310 283 254 281 .05 2936.49232 260 233 205 231 .05 2906.79 283 311 284 255 282 .05 2933.99233 261 234 206 232 .05 2903.73 284 312 285 256 283 .05 2933.13234 262 235 207 233 .05 2899.45 285 313 286 257 284 .05 2932.29235 263 236 208 234 .05 2896.10 286 314 287 258 285 .05 2929.94236 264 237 209 235 .05 2893.33 287 315 288 259 286 .05 2926.24237 265 238 210 236 .05 2890.70 288 316 289 260 287 .05 2921.09238 266 239 211 237 .05 2886.94 289 317 290 261 288 .05 2919.92239 267 240 212 238 .05 2881.25 290 318 291 262 289 .05 2916.79240 268 241 213 239 .05 2877.27 291 319 292 263 290 .05 2913.28241 269 242 214 240 .05 2874.61 292 320 293 264 291 .05 2910.08242 270 243 215 241 .05 2869.75 293 321 294 265 292 .05 2905.24243 271 244 216 242 .05 2864.95 294 322 295 266 293 .05 2901.44


143

295 323 296 267 294 .05 2896.82296 324 297 268 295 .05 2893.80297 325 298 269 296 .05 2888.92298 326 299 270 297 .05 2886.09299 327 300 271 298 .05 2880.67300 328 301 272 299 .05 2875.52301 329 302 273 300 .05 2870.25302 330 303 274 301 .05 2863.69303 331 304 275 302 .05 2857.37304 332 305 276 303 .05 2852.11305 333 306 277 304 .05 2846.50306 334 307 278 305 .05 2841.32307 335 0 279 306 .05 2836.17308 337 309 280 0 .05 2948.69309 338 310 281 308 .05 2946.32310 339 311 282 309 .05 2944.90311 340 312 283 310 .05 2942.89312 341 313 284 311 .05 2942.29313 342 314 285 312 .05 2941.43314 343 315 286 313 .05 2939.18315 344 316 287 314 .05 2935.65316 345 317 288 315 .05 2930.98317 346 318 289 316 .05 2929.16318 347 319 290 317 .05 2925.98319 348 320 291 318 .05 2921.96320 349 321 292 319 .05 2918.17321 350 322 293 320 .05 2914.33322 351 323 294 321 .05 2910.00323 352 324 295 322 .05 2906.14324 353 325 296 323 .05 2901.78325 354 326 297 324 .05 2896.91326 355 327 298 325 .05 2893.61327 356 328 299 326 .05 2887.41328 357 329 300 327 .05 2883.14329 358 330 301 328 .05 2877.04330 359 331 302 329 .05 2869.80331 360 332 303 330 .05 2864.73332 361 333 304 331 .05 2858.38333 362 334 305 332 .05 2852.90334 363 335 306 333 .05 2847.88335 364 336 307 334 .05 2841.42336 365 0 0 335 .05 2838.00337 367 338 308 0 .05 2954.98338 368 339 309 337 .05 2954.92339 369 340 310 338 .05 2953.41340 370 341 311 339 .05 2951.78341 371 342 312 340 .05 2951.48342 372 343 313 341 .05 2950.76343 373 344 314 342 .05 2948.45344 374 345 315 343 .05 2944.86345 375 346 316 344 .05 2941.44

346 376 347 317 345 .05 2938.99347 377 348 318 346 .05 2935.59348 378 349 319 347 .05 2931.67349 379 350 320 348 .05 2927.41350 380 351 321 349 .05 2923.25351 381 352 322 350 .05 2918.86352 382 353 323 351 .05 2914 46353 383 354 324 352 .05 2909.70354 384 355 325 353 .05 2905.50355 385 356 326 354 .05 2900.62356 386 357 327 355 .05 2894.54357 387 358 328 356 .05 2888.00358 388 359 329 357 .05 2882.61359 389 360 330 358 .05 2877.00360 390 361 331 359 .05 2871.21361 391 362 332 360 .05 2864.99362 392 363 333 361 .05 2857.29363 393 364 334 362 .05 2852.66364 394 365 335 363 .05 2847.20365 395 0 336 364 .05 2842.58366 396 367 0 0 .05 2966.59367 397 368 337 366 .05 2963.88368 398 369 338 367 .05 2963.71369 399 370 339 368 .05 2962.34370 400 371 340 369 .05 2961.32371 401 372 341 370 .05 2960.91372 402 373 342 371 .05 2959.88373 403 374 343 372 .05 2957.74374 404 375 344 373 .05 2954.66375 405 376 345 374 .05 2951.90376 406 377 346 375 .05 2948.76377 407 378 347 376 .05 2945.48378 408 379 348 377 .05 2941.29379 409 380 349 378 .05 2936.89380 410 381 350 379 .05 2932.61381 411 382 351 380 .05 2927.04382 412 383 352 381 .05 2922.48383 413 384 353 382 .05 2917.91384 414 385 354 383 .05 2913.60385 415 386 355 384 .05 2908.04386 416 387 356 385 .05 2901.79387 417 388 357 386 .05 2895.03388 418 389 358 387 .05 2888.67389 419 390 359 388 .05 2884.06390 420 391 360 389 .05 2877.55391 421 392 361 390 .05 2869.94392 422 393 362 391 .05 2863.17393 423 394 363 392 .05 2858.52394 424 395 364 393 .05 2853.55395 425 0 365 394 .05 2849.25396 426 397 366 0 .05 2973.47


144

397 427 398 367 396 .05 2972.78 448 479 449 418 447 .05 2899.16398 428 399 368 397 .05 2972.48 449 480 450 419 448 .05 2892.27399 429 400 369 398 .05 2971.41 450 481 451 420 449 .05 2887.11400 430 401 370 399 .05 2970.98 451 482 452 421 450 .05 2883.30401 431 402 371 400 .05 2970.38 452 483 453 422 451 .05 2878.77402 432 403 372 401 .05 2968.57 453 484 454 423 452 .05 2873.87403 433 404 373 402 .05 2966.97 454 485 455 424 453 .05 2868.28404 434 405 374 403 .05 2963.12 455 486 0 425 454 .05 2861.99405 435 406 375 404 .05 2959.72 456 492 457 0 0 .05 2992.92406 436 407 376 405 .05 2958.24 457 493 458 426 456 .05 3017.80407 437 408 377 406 .05 2955.11 458 494 459 427 457 .05 3003.88408 438 409 378 407 .05 2950.77 459 495 460 428 458 .05 2993.99409 439 410 379 408 .05 2946.25 460 496 461 429 459 .05 2990.49410 440 411 380 409 .05 2940.23 461 497 462 430 460 .05 2990.37411 441 412 381 410 .05 2935.11 462 498 463 431 461 .05 2988.59412 442 413 382 411 .05 2930.50 463 499 464 432 462 .05 2986.77413 443 414 383 412 .05 2925.84 464 500 465 433 463 .05 2985.67414 444 415 384 413 .05 2919.92 465 501 466 434 464 .05 2982.82415 445 416 385 414 .05 2915.59 466 502 467 435 465 .05 2979.29416 446 417 386 415 .05 2907.89 467 503 468 436 466 .05 2975.81417 447 418 387 416 .05 2900.92 468 504 469 437 467 .05 2971.17418 448 419 388 417 .05 2894.18 469 505 470 438 468 .05 2966.01419 449 420 389 418 .05 2887.45 470 506 471 439 469 .05 2960.71420 450 421 390 419 .05 2882.89 471 507 472 440 470 .05 2955.86421 451 422 391 420 .05 2875.88 472 508 473 441 471 .05 2951.06422 452 423 392 421 .05 2870.78 473 509 474 442 472 .05 2945.47423 453 424 393 422 .05 2866.41 474 510 475 443 473 .05 2939.27424 454 425 394 423 .05 2861.13 475 511 476 444 474 .05 2930.80425 455 0 395 424 .05 2855.69 476 512 477 445 475 .05 2924.99426 457 427 396 0 .05 2980.68 477 513 478 446 476 .05 2918.47427 458 428 397 426 .05 2981.66 478 514 479 447 477 .05 2911.63428 459 429 398 427 .05 2981.26 479 515 480 448 478 .05 2905.94429 460 430 399 428 .05 2980.81 480 516 481 449 479 .05 2899.69430 461 431 400 429 .05 2980.64 481 517 482 450 480 .05 2895.92431 462 432 401 430 .05 2979.41 482 518 483 451 481 .05 2890.85432 463 433 402 431 .05 2977.56 483 519 484 452 482 .05 2886.98433 464 434 403 432 .05 2976.38 484 520 485 453 483 .05 2880.86434 465 435 404 433 .05 2972.45 485 521 486 454 484 .05 2874.56435 466 436 405 434 .05 2969.52 486 522 487 455 485 .05 2867.34436 467 437 406 435 .05 2967.37 487 523 488 0 486 .05 2858.64437 468 438 407 436 .05 2963.33 488 524 489 0 487 .05 2853.80438 469 439 408 437 .05 2959.07 489 525 490 0 488 .05 2848.64439 470 440 409 438 .05 2953.18 490 526 491 0 489 .05 2843.31440 471 441 410 439 .05 2947.80 491 527 0 0 490 .05 2840.00441 472 442 411 440 .05 2943.12 492 537 493 456 0 .05 3010.99442 473 443 412 441 .05 2938.24 493 538 494 457 492 .05 3051.16443 474 444 413 442 .05 2932.25 494 539 495 458 493 .05 3016.40444 475 445 414 443 .05 2925.00 495 540 496 459 494 .05 3003.69445 476 446 415 444 .05 2919.92 496 541 497 460 495 .05 3000.47446 477 447 416 445 .05 2913.02 497 542 498 461 496 .05 3000.18447 478 448 417 446 .05 2906.41 498 543 499 462 497 .05 2998.30


145

499 544 500 463 498 .05 2996.77 550 594 551 505 549 .05 2981.90500 545 501 464 499 .05 2994.38 551 595 552 506 550 .05 2977.05501 546 502 465 500 .05 2989.91 552 596 553 507 551 .05 2971.50502 547 503 466 501 .05 2987.84 553 597 554 508 552 .05 2965.13503 548 504 467 502 .05 2983.59 554 598 555 509 553 .05 2957.02504 549 505 468 503 .05 2978.77 555 599 556 510 554 .05 2951.67505 550 506 469 504 .05 2973.72 556 600 557 511 555 .05 2945.20506 551 507 470 505 .05 2968.88 557 601 558 512 556 .05 2939.28507 552 508 471 506 .05 2964.04 558 602 559 513 557 .05 2933.35508 553 509 472 507 .05 2958.38 559 603 560 514 558 .05 2928.14509 554 510 473 508 .05 2952.73 560 604 561 515 559 .05 2921.19510 555 511 474 509 .05 2944.78 561 605 562 516 560 .05 2917.60511 556 512 475 510 .05 2938.46 562 606 563 517 561 .05 2911.24512 557 513 476 511 .05 2931.85 563 607 564 518 562 .05 2904.53513 558 514 477 512 .05 2925.14 564 608 565 519 563 .05 2898.86514 559 515 478 513 .05 2919.60 565 609 566 520 564 .05 2892.91515 560 516 479 514 .05 2913.83 566 610 567 521 565 .05 2885.98516 561 517 480 515 .05 2908.30 567 611 568 522 566 .05 2878.46517 562 518 481 516 .05 2904.35 568 612 569 523 567 .05 2872.33518 563 519 482 517 .05 2899.12 569 613 570 524 568 .05 2865.60519 564 520 483 518 .05 2892.95 570 614 571 525 569 .05 2857.56520 565 521 484 519 .05 2887.13 571 615 572 526 570 .05 2853.23521 566 522 485 520 .05 2879.89 572 616 573 527 571 .05 2847.90522 567 523 486 521 .05 2872.31 573 617 574 528 572 .05 2842.56523 568 524 487 522 .05 2866.00 574 618 575 529 573 .05 2836.93524 569 525 488 523 .05 2860.00 575 619 576 530 574 .05 2831.09525 570 526 489 524 .05 2853.81 576 620 577 531 575 .05 2825.73526 571 527 490 525 .05 2848.38 577 621 578 532 576 .05 2820.86527 572 528 491 526 .05 2843.07 578 622 579 533 577 .05 2817.11528 573 529 0 527 .05 2837.84 579 623 580 534 578 .05 2813.62529 574 530 0 528 .05 2832.63 580 624 0 535 579 .05 2809.03530 575 531 0 529 .05 2826.85 581 625 582 537 0 .05 3018.35531 576 532 0 530 .05 2821.07 582 626 583 538 581 .05 3018.35532 577 533 0 531 .05 2816.59 583 627 584 539 582 .05 3019.21533 578 534 0 532 .05 2812.37 584 628 585 540 583 .05 3020.23534 579 535 0 533 .05 2808.61 585 629 586 541 584 .05 3020.42535 580 536 0 534 .05 2805.28 586 630 587 542 585 .05 3019.72536 0 0 0 535 .05 2800.85 587 631 588 543 586 .05 3018.12537 581 538 492 0 .05 3018.35 588 632 589 544 587 .05 3015.57538 582 539 493 537 .05 3018.35 589 633 590 545 588 .05 3011.03539 583 540 494 538 .05 3018.35 590 634 591 546 589 .05 3007.30540 584 541 495 539 .05 3013.39 591 635 592 547 590 .05 3003.43541 585 542 496 540 .05 3010.44 592 636 593 548 591 .05 2998.57542 586 543 497 541 .05 3009.97 593 637 594 549 592 .05 2993.91543 587 544 498 542 .05 3008.18 594 638 595 550 593 .05 2989.50544 588 545 499 543 .05 3006.57 595 639 596 551 594 .05 2984.80545 589 546 500 544 .05 3002.50 596 640 597 552 595 .05 2978.06546 590 547 501 545 .05 2998.98 597 641 598 553 596 .05 2969.61547 591 548 502 546 .05 2995.78 598 642 599 554 597 .05 2961.30548 592 549 503 547 .05 2991.19 599 643 600 555 598 .05 2956.14549 593 550 504 548 .05 2986.62 600 644 601 556 599 .05 2953 06


146

601 645 602 557 600 .05 2947.51 652 695 653 608 651 .05 2910.65602 646 603 558 601 .05 2942.24 653 696 654 609 652 .05 2904.35603 647 604 559 602 .05 2936.43 654 697 655 610 653 .05 2896.99604 648 605 560 603 .05 2928.41 655 698 656 611 654 .05 2889.16605 649 606 561 604 .05 2922.11 656 699 657 612 655 .05 2882.09606 650 607 562 605 .05 2916.10 657 700 658 613 656 .05 2875.06607 651 608 563 606 .05 2910.60 658 701 659 614 657 .05 2869.20608 652 609 564 607 .05 2905.19 659 702 660 615 658 .05 2862.16609 653 610 565 608 .05 2897.73 660 703 661 616 659 .05 2855.76610 654 611 566 609 .05 2889.87 661 704 662 617 660 .05 2851.42611 655 612 567 610 .05 2884.36 662 705 663 618 661 .05 2845.31612 656 613 568 611 .05 2877.05 663 706 664 619 662 .05 2839.79613 657 614 569 612 .05 2869.11 664 707 665 620 663 .05 2835.33614 658 615 570 613 .05 2861.82 665 708 666 621 664 .05 2830.21615 659 616 571 614 .05 2856.12 666 709 667 622 665 .05 2824.68616 660 617 572 615 .05 2852.62 667 710 0 623 666 .05 2820.66617 661 618 573 616 .05 2847.03 668 711 669 625 0 .05 3048.03618 662 619 574 617 .05 2841.26 669 712 670 626 668 .05 3047.33619 663 620 575 618 .05 2835.90 670 713 671 627 669 .05 3045.98620 664 621 576 619 .05 2830.23 671 714 672 628 670 .05 3040.60621 665 622 577 620 .05 2826.10 672 715 673 629 671 .05 3040.59622 666 623 578 621 .05 2821.49 673 716 674 630 672 .05 3039.74623 667 624 579 622 .05 2817.21 674 717 675 631 673 .05 3036.24624 0 0 580 623 .05 2813.05 675 718 676 632 674 .05 3031.77625 668 626 581 0 .05 3031.19 676 719 677 633 675 .05 3028.53626 669 627 582 625 .05 3027.10 677 720 678 634 676 .05 3023.95627 670 628 583 626 .05 3034.86 678 721 679 635 677 .05 3017.75628 671 629 584 627 .05 3030.41 679 722 680 636 678 .05 3012.63629 672 630 585 628 .05 3030.50 680 723 681 637 679 .05 3007.95630 673 631 586 629 .05 3029.73 681 724 682 638 680 .05 3002.85631 674 632 587 630 .05 3027.65 682 725 683 639 681 .05 2995.46632 675 633 588 631 .05 3022.30 683 726 684 640 682 .05 2989.12633 676 634 589 632 .05 3019.61 684 727 685 641 683 .05 2983.95634 677 635 590 633 .05 3015.41 685 728 686 642 684 .05 2979.79635 678 636 591 634 .05 3010.80 686 729 687 643 685 .05 2975.34636 679 637 592 635 .05 3005.74 687 730 688 644 686 .05 2969.67637 680 638 593 636 .05 3000.98 688 731 689 645 687 .05 2963.64638 681 639 594 637 .05 2996.35 689 .732 690 646 688 .05 2956.42639 682 640 595 638 .05 2990.89 690 733 691 547 689 .05 2949.79640 683 641 596 639 .05 2984.61 691 734 692 648 690 .05 2942.78641 684 642 597 640 .05 2976.44 692 735 693 649 691 .05 2935.96642 685 643 598 641 .05 2969.26 693 736 694 650 692 .05 2929.22643 686 644 599 642 .05 2966.32 694 737 695 651 693 .05 2920.18644 687 645 600 643 .05 2961.45 695 738 696 652 694 .05 2916.37645 688 646 601 644 .05 2956.01 696 739 697 653 695 .05 2908.05646 689 647 602 645 .05 2951.23 697 740 698 654 696 .05 2900.46647 690 648 603 646 .05 2942.65 698 741 699 655 697 .05 2893.96648 691 649 604 647 .05 2935.95 699 742 700 656 698 .05 2887.11649 692 650 605 648 .05 2928.60 700 743 701 657 699 .05 2881.51650 693 651 606 649 .05 2922.66 701 744 702 658 700 .05 2874.01651 694 652 607 650 .05 2917.35 702 745 703 659 701 .05 2867.47


147

703 746 704 660 702 .05 2861.08 754 795 755 712 753 .05 3079.84704 747 705 661 703 .05 2854.71 755 796 756 713 754 .05 3066.94705 748 706 662 704 .05 2849.36 756 797 757 714 755 .05 3062.61706 749 707 663 705 .05 2844.56 757 798 758 715 756 .05 3059.28707 750 708 664 706 .05 2839.51 758 799 759 716 757 .05 3057.32708 751 709 665 707 .05 2833.87 759 800 760 717 758 .05 3054.32709 752 710 666 708 .05 2828.81 760 801 761 718 759 .05 3050.89710 0 0 667 709 .05 2823.87 761 802 762 719 760 .05 3046.50711 753 712 668 0 .05 3065.75 762 803 763 720 761 .05 3039.67712 754 713 669 711 .05 3057.43 763 804 764 721 762 .05 3033.03713 755 714 670 712 .05 3051.39 764 805 765 722 763 .05 3027.06714 756 715 671 713 .05 3051.27 765 806 766 723 764 .05 3019.60715 757 716 672 714 .05 3050.69 766 807 767 724 765 .05 3015.50716 758 717 673 715 .05 3049.32 767 808 768 725 766 .05 3009.99717 759 718 674 716 .05 3045.53 768 809 769 726 767 .05 3004.65718 760 719 675 717 .05 3041.69 769 810 770 727 768 .05 2999.59719 761 720 676 718 .05 3037.51 770 811 771 728 769 .05 2995.47720 762 721 677 719 .05 3032.22 771 812 772 729 770 .05 2990.38721 763 722 678 720 .05 3025.58 772 813 773 730 771 .05 2984.93722 764 723 679 721 .05 3019.67 773 814 774 731 772 .05 2977.88723 765 724 680 722 .05 3014.64 774 815 775 732 773 .05 2970.51724 766 725 681 723 .05 3008.23 775 816 776 733 774 .05 2962.77725 767 726 682 724 .05 3002.21 776 817 777 734 775 .05 2954.13726 768 727 683 725 .05 2997.00 777 818 778 735 776 .05 2947.54727 769 728 684 726 .05 2991.76 778 819 779 736 777 .05 2938.83728 770 729 685 727 .05 2988.20 779 820 780 737 778 .05 2931.03729 771 730 686 728 .05 2983.43 780 821 781 738 779 .05 2923.28730 772 731 687 729 .05 2977.48 781 822 782 739 780 .05 2916.11731 773 732 688 730 .05 2970.46 782 823 783 740 781 .05 2909.27732 774 733 689 731 .05 2963.78 783 824 784 741 782 .05 2902.08733 775 734 690 732 .05 2956.85 784 825 785 742 783 .05 2895.65734 776 735 691 733 .05 2949.38 785 826 786 743 784 .05 2888.88735 777 736 692 734 .05 2942.89 786 827 787 744 785 .05 2883.06736 778 737 693 735 .05 2933.85 787 828 788 745 786 .05 2876.23737 779 738 694 736 .05 2925.09 788 829 789 746 787 .05 2869.78738 780 739 695 737 .05 2918.69 789 830 790 747 788 .05 2862.98739 781 740 696 738 .05 2911.60 790 831 791 748 789 .05 2857.74740 782 741 697 739 .05 2905.01 791 832 792 749 790 .05 2852.62741 783 742 698 740 .05 2898.09 792 833 793 750 791 .05 2847.25742 784 743 699 741 .05 2890.58 793 834 0 751 792 .05 2842.06743 785 744 700 742 .05 2885.86 794 0 795 753 0 .05 3116.78744 786 745 701 743 .05 2879.09 795 0 796 754 794 .05 3093.58745 787 746 702 744 .05 2872.31 796 835 797 755 795 .05 3076.95746 788 747 703 745 .05 2865.74 797 836 798 756 796 .05 3071.52747 789 748 704 746 .05 2859.16 798 837 799 757 797 .05 3067.50748 790 749 705 747 .05 2853.78 799 838 800 758 798 .05 3064.97749 791 750 706 748 .05 2848.79 800 839 801 759 799 .05 3062.80750 792 751 707 749 .05 2843.25 801 840 802 760 800 .05 3059.18751 793 752 708 750 .05 2838.18 802 841 803 761 801 .05 3053 73752 0 0 709 751 .05 2832.96 803 842 804 762 802 .05 3046.59753 794 754 711 0 .05 3083.97 804 843 805 763 803 .05 3039.97


148

805 844 806 764 804 .05 3033.05 856 894 857 817 855 .05 2967.03806 845 807 765 805 .05 3028.53 857 895 858 818 856 .05 2957.84807 846 808 766 806 .05 3023.79 858 896 859 819 857 .05 2950.81808 847 809 767 807 .05 3017.50 859 897 860 820 858 .05 2942.29809 848 810 768 808 .05 3011.71 860 898 861 821 859 .05 2932.89810 849 811 769 809 .05 3007.17 861 899 862 822 860 .05 2923.49811 850 812 770 810 .05 3002.17 862 900 863 823 861 .05 2919.23812 85.1 813 771 811 .05 2995.63 863 901 864 824 862 .05 2911.48813 852 814 772 812 .05 2989.49 864 902 865 825 863 .05 2904.03814 853 815 773 813 .05 2983.30 865 903 866 826 864 .05 2898.08815 854 816 774 814 .05 2976.12 866 904 867 827 865 .05 2891.99816 855 817 775 815 .05 2968.09 867 905 868 828 866 .05 2885.52817 856 818 776 816 .05 2959.90 868 906 869 829 867 .05 2879.62818 857 819 777 817 .05 2952.20 869 907 870 830 868 .05 2873.77819 858 820 778 818 .05 2944.39 870 908 871 831 869 .05 2867.43820 859 821 779 819 .05 2937.13 871 909 872 832 870 .05 2861.15821 860 822 780 820 .05 2928.92 872 0 0 833 871 .05 2855.09822 861 823 781 821 .05 2920.73 873 910 874 835 0 .05 3112.65823 862 824 782 822 .05 2916.18 874 911 875 836 873 .05 3089.66824 863 825 783 823 .05 2909.03 875 912 876 837 874 .05 3083.16825 864 826 784 824 .05 2901.33 876 913 877 838 875 .05 3080.51826 865 827 785 825 .05 2893.58 877 914 878 839 876 .05 3079.54827 866 828 786 826 .05 2886.70 878 915 879 840 877 .05 3073.39828 867 829 787 827 .05 2880.51 879 916 880 841 878 .05 3066.77829 868 830 788 828 .05 2874.25 880 917 881 842 879 .05 3059.92830 869 831 789 829 .05 2868.65 881 918 882 843 880 .05 3053.43831 870 832 790 830 .05 2863.02 882 919 883 844 881 .05 3051.16832 871 833 791 831 .05 2856.67 883 920 884 845 882 .05 3047.38833 872 834 792 832 .05 2851.16 884 921 885 846 883 .05 3039.05834 0 0 793 833 .05 2846.26 885 922 886 847 884 .05 3032.66835 873 836 796 0 .05 3091.48 886 923 887 848 885 .05 3027.47836 874 837 797 835 .05 3078.79 887 924 888 849 886 .05 3021.27837 875 838 798 836 .05 3075.53 888 925 889 850 887 .05 3015.22838 876 839 799 837 .05 3072.57 889 926 890 851 888 .05 3007.92839 877 840 800 838 .05 3071.25 890 927 891 852 889 .05 3000.65840 878 841 801 839 .05 3066.83 891 928 892 853 890 .05 2994.65841 879 842 802 840 .05 3060.07 892 929 893 854 891 .05 2987.89842 880 843 803 841 .05 3053.09 893 930 894 855 892 .05 2981.82843 881 844 804 842 .05 3046.75 894 931 895 856 893 .05 2971.69844 882 845 805 843 .05 3042.17 895 932 896 857 894 .05 2961.55845 883 846 806 844 .05 3038.33 896 933 897 858 895 .05 2952.73846 884 847 807 845 .05 3031.29 897 934 898 859 896 .05 2947.37847 885 848 808 846 .05 3022.90 898 935 899 860 897 .05 2938.19848 886 849 809 847 .05 3018.79 899 936 900 861 898 .05 2929.88849 887 850 810 848 .05 3013.91 900 937 901 862 899 .05 2921.70850 888 851 811 849 .05 3008.17 901 938 902 863 900 .05 2915.29851 889 852 812 850 .05 3002.41 902 939 903 864 901 .05 2909.57852 890 853 813 851 .05 2995.67 903 940 904 865 902 .05 2904.04853 891 854 814 852 .05 2988.75 904 941 905 866 903 .05 2897.84854 892 855 815 853 .05 2983.23 905 942 906 867 904 .05 2891.12855 893 856 816 854 .05 2975.06 906 943 907 868 905 .05 2884.62


149

907 0 908 869 906 .05 2877.89 958 990 959 924 957 .05 3034.03908 0 909 870 907 .05 2871.57 959 991 960 925 958 .05 3025.66909 0 0 871 908 .05 2865.13 960 992 961 926 959 .05 3017.01910 944 911 873 0 .05 3122.32 961 993 962 927 960 .05 3010.38911 945 912 874 910 .05 3104.30 962 994 963 928 961 .05 3003.62912 946 913 875 911 .05 3094.78 963 995 964 929 962 .05 2995.69913 947 914 876 912 .05 3088.05 964 996 965 930 963 .05 2987.05914 948 915 877 913 .05 3084.66 965 997 966 931 964 .05 2978.93915 949 916 878 914 .05 3080.38 966 998 967 932 965 .05 2970.58916 950 917 879 915 .05 3073.87 967 999 968 933 966 .05 2963.37917 951 918 880 916 .05 3067.45 968 1000 969 934 967 .05 2954.69918 952 919 881 917 .05 3061.45 969 1001 970 935 968 .05 2946.70919 953 920 882 918 .05 3057.94 970 1002 971 936 969 .05 2939.51920 954 921 883 919 .05 3054.15 971 1003 972 937 970 .05 2933.19921 955 922 884 920 .05 3047.49 972 1004 973 938 971 .05 2925.64922 956 923 885 921 .05 3041.43 973 1005 974 939 972 .05 2919.92923 957 924 886 922 .05 3035.74 974 0 975 940 973 05 2912.95924 958 925 887 923 .05 3027.63 975 0 0 941 974 .05 2905.35925 959 926 888 924 .05 3019.58 976 1006 977 944 0 .05 3116.78926 960 927 889 925 .05 3012.54 977 1007 978 945 976 .05 3114.33927 961 928 890 926 .05 3005.85 978 1008 979 946 977 .05 3107.17928 962 929 891 927 .05 2999.15 979 1009 980 947 978 .05 3103.80929 963 930 892 928 .05 2992.58 980 1010 981 948 979 .05 3099.94930 964 931 893 929 .05 2985.54 981 1011 982 949 980 .05 3093.43931 965 932 894 930 .05 2975.22 982 1012 983 950 981 .05 3088.43932 966 933 895 931 .05 2965.18 983 1013 984 951 982 .05 3084.26933 967 934 896 932 .05 2957.51 984 1014 985 952 983 .05 3078.68934 968 935 897 933 .05 2952.73 985 1015 986 953 984 .05 3074.30935 969 936 898 934 .05 2943.07 986 1016 987 954 985 .05 3068.16936 970 937 899 935 .05 2934.39 987 1017 988 955 986 .05 3061.82937 971 938 900 936 .05 2927.19 988 1018 989 956 987 .05 3054.87938 972 939 901 937 .05 2920.90 989 1019 990 957 988 .05 3048.20939 973 940 902 938 .05 2916.03 990 1020 991 958 989 .05 3040.21940 974 941 903 939 .05 2910.34 991 1021 992 959 990 .05 3031.21941 975 942 904 940 .05 2903.31 992 1022 993 960 991 .05 3022.17942 0 943 905 941 .05 2895.89 993 1023 994 961 992 .05 3013.50943 0 0 906 942 .05 2888.33 994 1024 995 962 993 .05 3004.61944 976 945 910 0 .05 3120.71 995 1025 996 963 994 .05 2995.80945 977 946 911 944 .05 3110.45 996 1026 997 964 995 .05 2987.85946 978 947 912 945 .05 3099.86 997 1027 998 965 996 .05 2983.07947 979 948 913 946 .05 3095.80 998 1028 999 966 997 .05 2974.46948 980 949 914 947 .05 3092.59 999 1029 100C1 967' 998 .05 2966 22949 981 950 915 948 .05 3087.43 1000 1030 1001 968 999 .05 2958.48950 982 951 916 949 .05 3081.56 1001 1031 1002 969 1000 .05 2951.82951 983 952 917 950 .05 3075.91 1002 1032 1003 970 1001 .05 2945.25952 984 953 918 951 .05 3070.21 1003 1033 1004 971 1002 .05 2937.32953 985 954 919 952 .05 3066.55 1004 0 1005 972 1003 .05 2929.12954 986 955 920 953 .05 3061.26 1005 0 0 973 1004 .1D5 2920.31955 987 956 921 954 .05 3054.06 1006 1035 1007 976 0 .05 3128.69956 988 957 922 955 .05 3049.90 1007 1036 1008 977 1006 .05 3117.57957 989 958 923 956 .05 3041.59 1008 1037 1009 978 1007 .05 3114 52


150

10091038 1010 979 1008 .05 3111.80 1060 0 0 1031 1059 .135 2958.4410101039 1011 980 1009 .05 3106.60 1061 1086 1062 1034 0 .05 3149.591011 1040 1012 981 1010 .05 3101.23 1062 1087 1063 1035 1061 .05 3144.731012 1041 1013 982 1011 .05 3097.81 1063 1088 1064 1036 1062 .05 3137.201013 1042 1014 983 1012 .05 3091.83 1064 1089 1065 1037 1063 .05 3140.5410141043 1015 984 1013 .05 3086.24 1065 1090 1066 1038 1064 .05 3148.1210151044 1016 985 1014 .05 3082.25 1066 1091 1067 1039 1065 .05 3139.7610161045 1017 986 1015 .05 3074.31 1067 1092 1068 1040 1066 .05 3120.3310171046 1018 987 1016 .05 3067.39 1068 1093 1069 1041 1067 .05 3112 5310181047 1019 988 1017 .05 3060.84 1069 1094 1070 1042 1068 .05 3105.701019 1048 1020 989 1018 .05 3054.04 1070 1095 1071 1043 1069 .05 3099.531020 1049 1021 990 1019 .05 3045.39 1071 1096 1072 1044 1070 .05 3093.351021 1050 1022 991 1020 .05 3035.24 1072 1097 1073 1045 1071 .05 3085.481022 1051 1023 992 1021 .05 3024.84 1073 1098 1074 1046 1072 .05 3077.931023 1052 1024 993 1022 .05 3015.97 1074 1099 1075 1047 1073 .05 3069.301024 1053 1025 994 1023 .05 3008.16 1075 1100 1076 1048 1074 .05 3059.9410251054 1026 995 1024 .05 3000.55 1076 1101 1077 1049 1075 .05 3050.8910261055 1027 996 1025 .05 2993.00 1077 1102 1078 1050 1076 .05 3041.521027 1056 1028 997 1026 .05 2985.16 1078 1103 1079 1051 1077 .05 3031.301028 1057 1029 998 1027 .05 2977.42 1079 1104 1080 1052 1078 .05 3022.0610291058 1030 999 1028 .05 2970.40 1080 1105 1081 1053 1079 .05 3015.2010301059 1031 1000 1029 .05 2963.19 1081 1106 1082 1054 1080 .05 3007.441031 1060 1032 1001 1030 .05 2954.87 1082 1107 1083 1055 1081 .05 3000.141032 0 1033 1002 1031 .05 2948.19 1083 0 1084 1056 1082 .05 2993.361033 0 0 1003 1032 .05 2939.80 1084 0 1085 1057 1083 .05 2985.541034 1061 1035 0 0 .05 3148.61 1085 0 0 1058 1084 .05 2982.2610351062 1036 1006 1034 .05 3136.99 1086 1109 1087 1061 0 .05 3150.121036 1063 1037 1007 1035 .05 3126.99 1087 1110 1088 1062 1086 .05 3149.591037 1064 1038 1008 1036 .05 3127.06 1088 1111 1089 1063 1087 .05 3147.4010381065 1039 1009 1037 .05 3124 88 1089 1112 1090 1064 1088 .05 3149.5910391066 1040 1010 1038 .05 3114.75 1090 1113 1091 1065 1089 .05 3149.591040 1067 1041 1011 1039 .05 3111.31 1091 1114 1092 1066 1090 .05 3143.711041 1068 1042 1012 1040 .05 3105.09 1092 1115 1093 1067 1091 .05 3128.321042 1069 1043 1013 1041 .05 3099.58 1093 1116 1094 1068 1092 .05 3119.461043 1070 1044 1014 1042 .05 3092.48 1094 1117 1095 1069 1093 .05 3113.011044 1071 1045 1015 1043 .05 3086.04 1095 1118 1096 1070 1094 .05 3107.121045 1072 1046 1016 1044 .05 3079.83 1096 1119 1097 1071 1095 .05 3099.631046 1073 1047 1017 1045 .05 3073.13 1097 1120 1098 1072 1096 .05 3091.791047 1074 1048 1018 1046 .05 3065.73 1098 1121 1099 1073 1097 .05 3082.701048 1075 1049 1019 1047 .05 3057.46 1099 1122 1100 1074 1098 .05 3073.791049 1076 1050 1020 1048 .05 3048.12 1100 1123 1101 1075 1099 .05 3054.8710501077 1051 1021 1049 .05 3038.17 1101 1124 1102 1076 1100 .05 3055.541051 1078 1052 1022 1050 .05 3028.94 1102 1125 1103 1077 1101 .05 3045.9310521079 1053 1023 1051 .05 3019.64 1103 1126 1104 1078 1102 .05 3037.4410531080 1054 1024 1052 .05 3012.22 1104 0 1105 1079 1103 .05 3032.771054 1081 1055 1025 1053 .05 3004.09 1105 0 1106 1080 1104 .05 3021.4410551082 1056 1026 1054 .05 2995.84 1106 0 1107 1081 1105 .05 3013.701056 1083 1057 1027 1055 .05 2987.41 1107 0 0 1082 1106 .05 3008.1810571084 1058 1028 1056 .05 2982.31 1108 1127 1109 0 0 .05 3178.2710581085 1059 1029 1057 .05 2974.25 1109 1128 1110 1086 1108 .05 3162.991059 0 1060 1030 1058 .05 2966.86 1110 1129 1111 1087 1109 .05 3158.25


151

1111 1130 1112 1088 11101112 1131 1113 1089 11111113 1132 1114 1090 11121114 1133 1115 1091 11131115 1134 1116 1092 11141116 1135 1117 1093 11151117 1136 1118 1094 11161118 1137 1119 1095 11171119 1138 1120 1096 11181120 1139 1121 1097 11191121 1140 1122 1098 11201122 1141 1123 1099 11211123 1142 1124 1100 11221124 1143 1125 1101 11231125 0 1126 1102 1124

.05 3157.65

.05 3155.40

.05 3150.78

.05 3145.44

.05 3137.29

.05 3129.05

.05 3120.31

.05 3113.85

.05 3106.12

.05 3097.80

.05 3088.46

.05 3079.46

.05 3069.94

.05 3060.65 .05 3051.34

1126 0 0 1103 1125 .05 3048.801127 1144 1128 1108 0 .05 3182.401128 1145 1129 1109 1127 .05 3175.001129 1146 1130 1110 1128 .05 3168.811130 1147 1131 1111 1129 .053167.861131 1148 1132 1112 1130 .05 3164.661132 1149 1133 1113 1131 .053160.141133 1150 1134 1114 1132 .05 3153.211134 1151 1135 1115 1133 .05 3146.991135 1152 1136 1116 1134 .05 3137.141136 1153 1137 1117 1135 .053129.711137 1154 1138 1118 1136 .05 3121.871138 1155 1139 1119 1137 .05 3113.411139 1156 1140 1120 1138 .05 3104.301140 1157 1141 1121 1139 .05 3094.441141 1158 1142 1122 1140 .05 3084.181142 1159 1143 1123 1141 .05 3074.351143 0 0 1124 1142 .05 3064.531144 1160 1145 1127 0 .05 3182.401145 1161 1146 1128 1144 .05 3182.401146 1162 1147 1129 1145 .05 3179.381147 1163 1148 1130 1146 .05 3178.091148 1164 1149 1131 1147 .05 3174.411149 1165 1150 1132 1148 .05 3168.551150 1166 1151 1133 1149 .05 3161.721151 1167 1152 1134 1150 .05 3154.001152 1168 1153 1135 1151 .05 3146.371153 1169 1154 1136 1152 .05 3139.001154 1170 1155 1137 1153 .05 3130.971155 1171 1156 1138 1154 .05 3117.911156 1172 1157 1139 1155 .05 3109.681157 0 1158 1140 1156 .05 3099.551158 0 1159 1141 1157 .05 3086.641159 0 0 1142 1158 .05 3083.971160 1173 1161 1144 0 .05 3197.01

1161 1174 1162 1145 1160 .05 3187.751162 1175 1163 1146 1161 .05 3187.831163 1176 1164 1147 1162 .05 3186.911164 1177 1165 1148 1163 .05 3183.381165 1178 1166 1149 1164 .05 3176.921166 1179 1167 1150 1165 .05 3169.601167 1180 1168 1151 1166 .05 3163.481168 1181 1169 1152 1167 .05 3158.971169 1182 1170 1153 1168 .05 3148.621170 1183 1171 1154 1169 .05 3139.201171 0 1172 1155 1170 .053129.711172 0 0 1156 1171 .05 3115.751173 1184 1174 1160 0 .05 3199.581174 1185 1175 1161 1173 .05 3196.411175 1186 1176 1162 1174 .05 3196.481176 1187 1177 1163 1175 .05 3195.131177 1188 1178 1164 1176 .05 3191.121178 1189 1179 1165 1177 .05 3186.361179 1190 1180 1166 1178 .05 3178.151180 1191 1181 1167 1179 .05 3176.571181 1192 1182 1168 1180 .05 3174.891182 1193 1183 1169 1181 .05 3172.361183 0 0 1170 1182 .05 3163.121184 1194 1185 1173 0 .05 3208.101185 1195 1186 1174 1184 .05 3205.221186 1196 1187 1175 1185 .05 3205.111187 1197 1188 1176 1186 .05 3203.101188 1198 1189 1177 1187 .05 3201.471189 1199 1190 1178 1188 .05 3197.661190 1200 1191 1179 1189 .05 3189.661191 1201 1192 1180 1190 .05 3192.201192 0 1193 1181 1191 .05 3198.401193 0 0 1182 1192 .05 3198.371194 0 1195 1184 0 .05 3215.211195 1202 1196 1185 1194 .05 3214.121196 1203 1197 1186 1195 .05 3213.821197 1204 1198 1187 1196 05 3211.781198 1205 1199 1188 1197 05 3211 781199 0 1200 1189 1198 .05 3214.711200 0 1201 1190 1199 .05 3226.671201 0 0 1191 1200 .05 3237.171202 1206 1203 1195 0 .05 3232.731203 1207 1204 1196 1202 .05 3228.351204 1208 1205 1197 1203 .05 3234.481205 0 0 1198 1204 .05 3250.181206 0 1207 1202 0 .05 3247.011207 1209 1208 1203 1206 .05 3248 021208 0 0 1204 1207 .05 3248.021209 0 0 1207 0 .05 3248.02


152

Table 20. FPINOUT.DAT input file for the FLO-2D UPRR2 alluvial fan model.

FPINOUT.DAT

1 101 1209 2.7 537. 4.5 3950.1209 2.75 591. 4.55 4807.

.00 0. 2.80 630. 4.6 5612.1.05 0. 2.85 650. 4.65 6298.1.1 0. 2.90 650. 4.7 6752.1.15 2. 2.95 627. 4.75 6920.1.2 9. 3.00 585. 4.80 6834.1.25 23. 3.05 531. 4.85 6541.1.3 49. 3.1 475 4.90 6098.1.35 92. 3.15 427. 4.95 5562.1.4 150. 3.2 395. 5.00 4974.1.45 223. 3.25 390. 5.05 4397.1.5 310. 3.3 414. 5.1 3886.1.55 402. 3.35 467. 5.15 3434.1.6 490. 3.4 540. 5.2 3025.1.65 561. 3.45 615. 5.25 2648.1.7 602. 3.5 679. 5.3 2313.1.75 608. 3.55 721. 5.35 2030.1.80 583. 3.6 738. 5.4 1799.1.85 534. 3.65 736. 5.45 1621.1.90 469. 3.7 725. 5.5 1497.1.95 398. 3.75 716. 5.55 1429.2.00 328. 3.80 715. 5.6 1417.2.05 266. 3.85 719. 5.65 1446.2.1 218. 3.90 718. 5.7 1491.2.15 185. 3.95 709. 5.75 1532.2.2 168. 4.00 694. 5.80 1562.2.25 166. 4.05 689. 5.85 1583.2.3 175. 4.1 710. 5.90 1593.2.35 192. 4.15 778. 5.95 1592.2.4 215. 4.2 905. 6.00 1573.2.45 246. 4.25 1116. 32.5 290. 4.3 1430. 1 119 5362.55 344. 4.35 1864. 0 02.6 407. 4.4 2428.2.65 474. 4.45 3127.


153


Table 21. CONT.DAT and MULT.DAT input files for the FL0-2D UPRR3 alluvial fan model.

CONT.DAT MULT.DAT

1. 8.00.02 0 0 2 1 5. 02916 0 200 .175 .3 25. 2.0 1 0.040 1 27380 0 0 6 0 0 50. 4.0 1 0.050 2739 27450 0 0 25 2.0 1 0.040 2746 27540. 0. 1 .-0.99 0 50. 4.0 1 0.050 2755 27633 25. 2.0 1 0.040 2764 27660 0 50. 4.0 1 0.050 2767 2916


154

Table 22. FPLAIN.DAT input files for the FL0-2D UPRR2 alluvial fan model.

FPLAIN.DAT

1 2 0 0 10 0.05 2165.82 45 64 0 0 .44 0.05 2201.542 3 0 1 1D 0.05 2170.90 46 67 47 0 0 0.05 2207.233 6 4 2 1D 0.05 2176.78 47 68 48 31 46 0.05 2210.564 7 0 0 :3 0.05 2176.78 48 69 0 0 .47 0.05 2213.215 10 0 0 0 0.05 2179.51 49 72 0 0 0 13.05 2215.756 12 7 3 0 0.05 2180.00 50 74 51 0 0 0.05 2203.977 13 8 4 6 0.05 2180.00 51 75 52 32 50 0.05 2203.368 14 0 0 7 0.05 2180.00 52 76 53 33 51 0.05 2203.409 16 10 0 0 0.05 2180.00 53 77 54 34 52 0.05 2203.5010 17 0 5 9 0.05 2180.00 54 78 55 35 53 0.05 2203.7411 20 12 0 0 0.05 2186.55 55 79 56 36 54 0.05 2204.4512 21 13 6 11 0.05 2185.26 56 80 57 37 55 0.05 2204.9113 22 14 7 12 0.05 2184.29 57 81 58 38 56 0.05 2205.0514 23 15 8 13 0.05 2184.32 58 82 59 39 57 0.05 2205.5115 24 16 0 14 0.05 2185.01 59 83 60 40 58 0.05 2206.6516 25 17 9 15 0.05 2185.06 60 84 61 41 59 0.05 2207.7917 26 18 10 16 0.05 2183.96 61 85 62 42 60 0.05 2208.1118 27 0 0 17 0.05 2183.99 62 86 63 43 61 0.05 2209.3419 29 0 0 0 0.05 2190.29 63 87 64 44 62 0.05 2209.0420 32 21 11 0 0.05 2192.01 64 88 65 45 63 0.05 2209.2121 33 22 12 20 0.05 2191.20 65 89 66 0 64 0.05 2210.7422 34 23 13 21 0.05 2190.65 66 90 67 0 65 0.05 2214.0023 35 24 14 22 0.05 2190.71 67 91 68 46 66 0.05 2214.5924 36 25 15 23 0.05 2191.37 68 92 69 47 67 0.05 2216.7625 37 26 16 24 0.05 2191.41 69 93 70 48 68 0.05 2219.9126 38 27 17 25 0.05 2190.93 70 94 0 0 69 0.05 2220.0027 39 28 18 26 0.05 2191.18 71 96 72 0 0 0.05 2220.0028 40 0 0 27 0.05 2192.19 72 97 0 49 71 0.05 2220.0029 43 30 19 0 0.05 2196.98 73 99 0 0 0 13.05 2220.0030 44 0 0 29 0.05 2199.73 74 101 75 50 0 0.05 2210.5831 47 0 0 0 0.05 2204.38 75 102 76 51 74 0.05 2209.5232 51 33 20 0 0.05 2197.47 76 103 77 52 75 0.05 2209.8333 52 34 21 32 0.05 2197.00 77 104 78 53 76 0.05 2210.1434 53 35 22 33 0.05 2197.00 78 105 79 54 77 0.05 2210.5735 54 36 23 34 0.05 2197.11 79 106 80 55 78 0.05 2211.3236 55 37 24 35 0.05 2197.75 80 107 81 56 79 0.05 2211.6937 56 38 25 36 0.05 2198.13 81 108 82 57 80 0.05 2211.9438 57 39 26 37 0.05 2198.04 82 109 83 58 81 0.05 2212.5239 58 40 27 38 0.05 2198.44 83 110 84 59 82 0.05 2213.7540 59 41 28 39 0.05 2199.41 84 111 85 60 83 0.05 2215.1941 60 42 0 40 0.05 2200.39 85 112 86 61 84 0.05 2214.8342 61 43 0 41 0.05 2201.61 86 113 87 62 85 0.05 2215.4743 62 44 29 42 0.05 2203.30 87 114 88 63 86 0.05 2215.3444 63 45 30 43 0.05 2202.71 88 115 89 64 87 0 05 2216.15


155

89 116 90 65 88 0.05 2218.5690 117 91 66 89 0.05 2220.0091 118 92 67 90 0.05 2221.7392 119 93 68 91 0.05 2220.0093 120 94 69 92 0.05 2223.1894 121 95 70 93 0.05 2224.9495 122 96 0 94 0.05 2225.0796 123 97 71 95 0.05 2223.7997 124 98 72 96 0.05 2224.5198 125 0 0 97 0.05 2222.6299 128 100 73 0 0.05 2223.95100 129 0 0 99 0.05 2226.44101 133 102 74 0 0.05 2216.68102 134 103 75 101 0.05 2215.41103 135 104 76 102 0.05 2216.27104 136 105 77 103 0.05 2216.79105 137 106 78 104 0.05 2217.41106 138 107 79 105 0.05 2218.17107 139 108 80 106 0.05 2218.47108 140 109 81 107 0.05 2218.79109 141 110 82 108 0.05 2219.54110 142 111 83 109 0.05 2220.81111 143 112 84 110 0.05 2221.92112 144 113 85 111 0.05 2221.84113 145 114 86 112 0.05 2222.00114 146 115 87 113 0.05 2221.95115 147 116 88 114 0.05 2223.01116 148 117 89 115 0.05 2223.47117 149 118 90 116 0.05 2223.73118 150 119 91 117 0.05 2227.75119 151 120 92 118 0.05 2227.37120 152 121 93 119 0.05 2229.36121 153 122 94 120 0.05 2231.08122 154 123 95 121 0.05 2230.66123 155 124 96 122 0.05 2230.57124 156 125 97 123 0.05 2231.52125 157 126 98 124 0.05 2229.79126 158 127 0 125 0.05 2230.47127 159 128 0 125 0.05 2230.65128 160 129 99 127 0.05 2230.47129 161 130 100 128 0.05 2232.03130 162 0 0 129 0.05 2233.11131 165 0 0 0 0.05 2240.00132 166 133 0 0 0.05 2221.56133 167 134 101 132 0.05 2220.00134 168 135 102 133 0.05 2220.00135 169 136 103 134 0.052221.46136 170 137 104 135 0.05 2223.16137 171 138 105 136 0.05 2222.52138 172 139 106 137 0.05 2222.54139 173 140 107 138 0.05 2224.44

140 174 141 108 139 0.05 2225 44141 175 142 109 140 0.05 2226.38142 176 143 110 141 0.05 2227.53143 177 144 111 142 0.05 2228.39144 178 145 112 143 0.05 2229.19145 179 146 113 144 0.05 2229.53146 180 147 114 145 0.05 2229.53147 181 148 115 146 0.05 2230.42148 182 149 116 147 0.05 2231.14149 183 150 117 148 0.05 2231.56150 184 151 118 149 0.05 2233.70151 185 152 119 150 0.05 2235.05152 186 153 120 151 0.05 2235.95153 187 154 121 152 0.05 2237.29154 188 155 122 153 0.05 2236.96155 189 156 123 154 0.05 2237.35156 190 157 124 155 0.05 2238.49157 191 158 125 156 0.05 2237.05158 192 159 126 157 0.05 2237.25159 193 160 127 158 0.05 2237.28160 194 161 128 159 0.05 2237.25161 195 162 129 160 0.05 2237.62162 196 163 130 161 0.05 2238.46163 197 0 0 162 0.05 2239.80164 200 165 0 0 0.05 2240.37165 201 0 131 164 0.05 2243.27166 205 167 132 0 0.05 2227.50167 206 168 133 166 0.05 2225.36168 207 169 134 167 0.05 2226.26169 208 170 135 168 0.05 2227.23170 209 171 136 169 0.05 2229.70171 210 172 137 170 0.05 2229.00172 211 173 138 171 0.05 2229.11173 212 174 139 172 0.05 2230.98174 213 175 140 173 0.05 2232.13175 214 176 141 174 0.05 2233.21176 215 177 142 175 0.05 2234.25177 216 178 143 176 0.05 2234.90178 217 179 144 177 0.05 2235.95179 218 180 145 178 0.05 2237.06180 219 181 146 179 0.05 2237.06181 220 182 147 180 0.05 2238.14182 221 183 148 181 0.05 2238.90183 222 184 149 182 0.05 2240.00184 223 185 150 183 0.05 2240.00185 224 186 151 184 0.05 2240.00186 225 187 152 185 0.05 2241.67187 226 188 153 186 0.05 2243.60188 227 189 154 187 0.05 2242.90189 228 190 155 188 0.05 2243.99190 229 191 156 189 0.05 2243.50


156

191 230 192 157 190 0.05 2244.04 242 286 243 199 241 0.05 2256.74192 231 193 158 191 0 05 2244.31 243 287 244 200 242 0.05 2257.80193 232 194 159 192 0.05 2244.09 244 288 245 201 243 0.05 2258.39194 233 195 160 193 0.05 2243.85 245 289 246 202 244 0.05 2259.64195 234 196 161 194 0.05 2242.81 246 290 247 203 245 0.05 2259.68196 235 197 162 195 0.05 2242.84 247 291 0 0 246 0.05 2259.25197 236 198 163 196 0.05 2246.45 248 296 0 204 0 0.05 2258.63198 237 0 0 197 0.05 2248.35 249 297 250 205 0 0.05 2239.58199 242 200 0 0 0.05 2249.65 250 298 251 206 249 0.05 2238.91200 243 201 164 199 0.05 2249.61 251 299 252 207 250 0.05 2239.82201 244 202 165 200 0.05 2249.60 252 300 253 208 251 0.05 2240.00202 245 203 0 201 0.05 2252.98 253 301 254 209 252 0.05 2240.15203 246 0 0 202 0.05 2253.64 254 302 255 210 253 0.05 2241.48204 248 0 0 (3 0.05 2253 71 255 303 256 211 254 0.05 2242.43205 249 206 166 0 0.05 2233.45 256 304 257 212 255 0.05 2242.31206 250 207 167 205 0.05 2232.14 257 305 258 213 256 0.05 2243.91207 251 208 168 206 0.05 2233.04 258 306 259 214 257 0.05 2245.89208 252 209 169 207 0.05 2234.01 259 307 260 215 258 0.05 2246.73209 253 210 170 208 0.05 2235.62 260 308 261 216 259 0.05 2247.42210 254 211 171 209 0.05 2235.34 261 309 262 217 260 0.05 2247.15211 255 212 172 210 0.05 2235.62 262 310 263 218 261 0.05 2250.19212 256 213 173 211 0.05 2237.43 263 311 264 219 262 0.05 2251.25213 257 214 174 212 0.05 2238.82 264 312 265 220 263 0.05 2251.25214 258 215 175 213 0.05 2239.84 265 313 266 221 264 0.05 2251.41215 259 216 176 214 0.05 2240.26 266 314 267 222 265 0.05 2252.86216 260 217 177 215 0.05 2241.20 267 315 268 223 266 0.05 2251.38217 261 218 178 216 0.05 2240.00 268 316 269 224 267 0.05 2251.24218 262 219 179 217 0.05 2240.50 269 317 270 225 268 0.05 2254.41219 263 220 180 218 0.05 2242.00 270 318 271 226 269 0.05 2256.44220 264 221 181 219 0.05 2242.00 271 319 272 227 270 0.05 2256.25221 265 222 182 220 0.05 2242.52 272 320 273 228 271 0.05 2257.11222 266 223 183 221 0.05 2243.71 273 321 274 229 272 0.05 2257.89223 267 224 184 222 0.05 2242.18 274 322 275 230 273 0.05 2258.84224 268 225 185 223 0.05 2240.36 275 323 276 231 274 0.05 2258.84225 269 226 186 224 0.05 2248.04 276 324 277 232 275 0.05 2257.85226 270 227 187 225 0.05 2250.02 277 325 278 233 276 0.05 2256.74227 271 228 188 226 0.05 2249.47 278 326 279 234 277 0.05 2255.98228 272 229 189 227 0.05 2250.55 279 327 280 235 278 0.05 2256.32229 273 230 190 228 0.05 2250.64 280 328 281 236 279 0.05 2258.61230 274 231 191 229 0.05 2251.57 281 329 282 237 280 0.05 2261.75231 275 232 192 230 0.05 2251.57 282 330 283 238 281 0.05 2262.90232 276 233 193 231 0.05 2250.99 283 331 284 239 282 0.05 2262.22233 277 234 194 232 0.05 2250.34 284 332 285 240 283 0.05 2260.00234 278 235 195 233 0.05 2248.95 285 333 286 241 284 0.05 2260.00235 279 236 196 234 0.05 2249.16 286 334 287 242 285 0.05 2262.59236 280 237 197 235 0.05 2252.66 287 335 288 243 286 0.05 2262.52237 281 238 198 236 0.05 2255.12 288 336 289 244 287 0.05 2261.69238 282 239 0 237 0.05 2256.63 289 337 290 245 288 0.05 2262.89239 283 240 0 238 0.05 2256.57 290 338 291 246 289 0.05 2265.79240 284 241 0 239 0.05 2257.11 291 339 292 247 290 0.05 2268.49241 285 242 0 240 0.05 2258.10 292 340 293 0 291 0.05 2270.37


157

293 341 0 0 292 0.05 2268.64 344 395 345 294 343 0.05 2277.07294 344 295 0 0 0.05 2267.68 345 396 346 295 344 0.05 2278.55295 345 296 0 294 0.05 2268.37 346 397 0 296 345 0.05 2280.00296 346 0 248 295 0.05 2269.49 347 398 348 0 0 0.05 2250.05297 348 298 249 0 0.05 2244.63 348 399 349 297 347 0.05 2251.45298 349 299 250 297 0.05 2244.96 349 400 350 298 348 0.05 2252.34299 350 300 251 298 0.05 2245.09 350 401 351 299 349 0.05 2252.86300 351 301 252 299 0.05 2245.58 351 402 352 300 350 0.05 2253.11301 352 302 253 300 0.05 2246.06 352 403 353 301 351 0.05 2252.87302 353 303 254 301 0.05 2247.84 353 404 354 302 352 0.05 2254.19303 354 304 255 302 0.05 2249.67 354 405 355 303 353 0.05 2256.39304 355 305 256 303 0.05 2250.41 355 406 356 304 354 0.05 2258.75305 356 306 257 304 0.05 2250.52 356 407 357 305 355 0.05 2257.91306 357 307 258 305 0.05 2252.06 357 408 358 306 356 0.05 2258.38307 358 308 259 306 0.05 2253.34 358 409 359 307 357 0.05 2259.72308 359 309 260 307 0.05 2253.63 359 410 360 308 358 0.05 2260.54309 360 310 261 308 0.05 2255.28 360 411 361 309 359 0.05 2260.12310 361 311 262 309 0.05 2259.32 361 412 362 310 360 0.05 2263.62311 362 312 263 310 0.05 2260.00 362 413 363 311 361 0.05 2264.60312 363 313 264 311 0.05 2260.00 363 414 364 312 362 0.05 2263.05313 364 314 265 312 0.05 2259.93 364 415 365 313 363 0.05 2263.32314 365 315 266 313 0.05 2260.25 365 416 366 314 364 0.05 2267.23315 366 316 267 314 0.05 2260.66 366 417 367 315 365 0.05 2268.40316 367 317 268 315 0.05 2261.52 367 418 368 316 366 0.05 2269.37317 368 318 269 316 0.05 2262.73 368 419 369 317 367 0.05 2269.92318 369 319 270 317 0.05 2263.08 369 420 370 318 368 0.05 2269.95319 370 320 271 318 0.05 2263.21 370 421 371 319 369 0.05 2270.18320 371 321 272 319 0.05 2263.89 371 422 372 320 370 0.05 2270.84321 372 322 273 320 0.05 2264.48 372 423 373 321 371 0.05 2271.03322 373 323 274 321 0.05 2262.26 373 424 374 322 372 0.05 2269.35323 374 324 275 322 0.05 2263.54 374 425 375 323 373 0.05 2269.55324 375 325 276 323 0.05 2264.37 375 426 376 324 374 0.05 2270.77325 376 326 277 324 0.05 2263.15 376 427 377 325 375 0.05 2270.23326 377 327 278 325 0.05 2263.24 377 428 378 326 376 0.05 2270.50327 378 328 279 326 0.05 2263.72 378 429 379 327 377 0.05 2271.39328 379 329 280 327 0.05 2265.22 379 430 380 328 378 0.05 2272.86329 380 330 281 328 0.05 2268.32 380 431 381 329 379 0.05 2274.89330 381 331 282 329 0.05 2269.01 381 432 382 330 380 0.05 2275.38331 382 332 283 330 0.05 2268.83 382 433 383 331 381 0.05 2275.32332 383 333 284 331 0.05 2267.69 383 434 384 332 382 0.05 2275.54333 384 334 285 332 0.05 2266.27 384 435 385 333 383 0.05 2274.19334 385 335 286 333 0.05 2268.50 385 436 386 334 384 0.05 2274.42335 386 336 287 334 0.05 2268.88 386 437 387 335 385 0.05 2275.23336 387 337 288 335 0.05 2268.54 387 438 388 336 386 0.05 2275.04337 388 338 289 336 0.05 2269.74 388 439 389 337 387 0.05 2276.43338 389 339 290 337 0.05 2272.67 389 440 390 338 388 0.05 2279.12339 390 340 291 338 0.05 2275.94 390 441 391 339 389 0.05 2280.00340 391 341 292 339 0.05 2278.42 391 442 392 340 390 0.05 2280.00341 392 342 293 340 0.05 2277.11 392 443 393 341 391 0.05 2282.03342 393 343 0 341 0.05 2277.05 393 444 394 342 392 0.05 2283.51343 394 344 0 342 0.05 2276 85 394 445 395 343 393 0.05 2281.20


158

395 446 396 344 394 0.05 2280.00396 447 397 345 395 0.05 2280.00397 448 0 346 396 0.05 2280.00398 449 399 347 0 0.05 2256.23399 450 400 348 398 0.05 2258.28400 451 401 349 399 0.05 2259.67401 452 402 350 400 0.05 2260.00402 453 403 351 401 0.05 2260.00403 454 404 352 402 0.05 2260.62404 455 405 353 403 0.05 2260.62405 456 406 354 404 0.05 2262.75406 457 407 355 405 0.05 2265.16407 458 408 356 406 0.05 2265.53408 459 409 357 407 0.05 2266.01409 460 410 358 408 0.05 2267.88410 461 411 359 409 0.05 2268.34411 462 412 360 410 0.05 2267.35412 463 413 361 411 0.05 2271.87413 464 414 362 412 0.05 2272.07414 465 415 363 413 0.05 2270.83415 466 416 364 414 0.05 2271.84416 467 417 365 415 0.05 2274.22417 468 418 366 416 0.05 2275.66418 469 419 367 417 0.05 2277.33419 470 420 368 418 0.05 2277.11420 471 421 369 419 0.05 2276.79421 472 422 370 420 0.05 2277.15422 473 423 371 421 0.05 2277.72423 474 424 372 422 0.05 2277.50424 475 425 373 423 0.05 2276.76425 476 426 374 424 0.05 2276.37426 477 427 375 425 0.05 2277.13427 478 428 376 426 0.05 2277.31428 479 429 377 427 0.05 2277.77429 480 430 378 428 0.05 2279.06430 481 431 379 429 0.05 2280.41431 482 432 380 430 0.05 2281.14432 483 433 381 431 0.05 2280.00433 484 434 382 432 0.05 2281.60434 485 435 383 433 0.05 2282.93435 486 436 384 434 0.05 2282.07436 487 437 385 435 0.05 2280.95437 488 438 386 436 0.05 2281.02438 489 439 387 437 0.05 2280.00439 490 440 388 438 0.05 2280.36440 491 441 389 439 0.05 2280.00441 492 442 390 440 0.05 2280.00442 493 443 391 441 0.05 2280.48443 494 444 392 442 0.05 2287.10444 495 445 393 443 0.05 2288.93445 496 446 394 444 0.05 2286.84

446 497 447 395 445 0.05 2285.87447 498 448 396 446 0.05 2281.34448 499 0 397 447 0.05 2281.19449 501 450 398 0 0.05 2260.06450 502 451 399 449 0.05 2261.67451 503 452 400 450 0.05 2262.94452 504 453 401 451 0.05 2263.67453 505 454 402 452 0.05 2266.00454 506 455 403 453 0.05 2267.89455 507 456 404 454 0.05 2267.89456 508 457 405 455 0.05 2269.13457 509 458 406 456 0.05 2271.74458 510 459 407 457 0.05 2272.76459 511 460 408 458 0.05 2274.15460 512 461 409 459 0.05 2276.06461 513 462 410 460 0.05 2276.11462 514 463 411 461 0.05 2275.46463 515 464 412 462 0.05 2278.96464 516 465 413 463 0.05 2279.66465 517 466 414 464 0.05 2279.20466 518 467 415 465 0.05 2280.00467 519 468 416 466 0.05 2281.67468 520 469 417 467 0.05 2280.00469 521 470 418 468 0.05 2280.00470 522 471 419 469 0.05 2284.49471 523 472 420 470 0.05 2284.50472 524 473 421 471 0.05 2284.72473 525 474 422 472 0.05 2285.26474 526 475 423 473 0.05 2284.82475 527 476 424 474 0.05 2284.28476 528 477 425 475 0.05 2283.87477 529 478 426 476 0.05 2283.93478 530 479 427 477 0.05 2284.42479 531 480 428 478 0.05 2284.91480 532 481 429 479 0.05 2285.97481 533 482 430 480 0.05 2286.83482 534 483 431 481 0.05 2287.58483 535 484 432 482 0.05 2286.50484 536 485 433 483 0.05 2287.88485 537 486 434 484 0.05 2289.04486 538 487 435 485 0.05 2289.41487 539 488 436 486 0.05 2287.84488 540 489 437 487 0.05 2287.67489 541 490 438 488 0.05 2285.41490 542 491 439 489 0.05 2288.17491 543 492 440 490 0.05 2287.60492 544 493 441 491 0.05 2286.32493 545 494 442 492 0.05 2285.79494 546 495 443 493 0.05 2291.53495 547 496 444 494 0.05 2294.33496 548 497 445 495 0.05 2292.98


159

497 549 498 446 496 0.05 2293.42 548 600 549 496 547 0.05 2300.08498 550 499 447 497 0.05 2290.25 549 601 550 497 548 0.05 2300.00499 551 0 448 498 0.05 2290.36 550 602 551 498 549 0.05 2300.00500 552 501 0 0 0.05 2267.62 551 0 0 499 550 0.05 2300.00501 553 502 449 500 0.05 2266.76 552 603 553 500 0 0.05 2273.48502 554 503 450 501 0.05 2268.83 553 604 554 501 552 0.05 2273.46503 555 504 451 502 0.05 2271.00 554 605 555 502 553 0.05 2275.93504 556 505 452 503 0.05 2271.70 555 606 556 503 554 0.05 2278.82505 557 506 453 504 0.05 2273.90 556 607 557 504 555 0.05 2279.52506 558 507 454 505 0.05 2275.15 557 608 558 505 556 0.05 2280.00507 559 508 455 506 0.05 2275.15 558 609 559 506 557 0.05 2280.81508 560 509 456 507 0.05 2276.23 559 610 560 507 558 0.05 2282.41509 561 510 457 508 0.05 2278.43 560 611 561 508 559 0.05 2282.30510 562 511 458 509 0.05 2279.99 561 612 562 509 560 0.05 2281.67511 563 512 459 510 0.05 2280.00 562 613 563 510 561 0.05 2284.13512 564 513 460 511 0.05 2280.30 563 614 564 511 562 0.05 2286.01513 565 514 461 512 0.05 2282.41 564 615 565 512 563 0.05 2287.83514 566 515 462 513 0.05 2282.88 565 616 566 513 564 0.05 2289.33515 567 516 463 514 0.05 2283.34 566 617 567 514 565 0.05 2290.55516 568 517 464 515 0.05 2284.49 567 618 568 515 566 0.05 2291.76517 569 518 465 516 0.05 2284.00 568 619 569 516 567 0.05 2292.81518 570 519 466 517 0.05 2284.31 569 620 570 517 568 0.05 2294.40519 571 520 467 518 0.05 2289.39 570 621 571 518 569 0.05 2294.86520 572 521 468 519 0 05 2288.04 571 622 572 519 570 0.05 2296.41521 573 522 469 520 0.05 2287.83 572 623 573 520 571 0.05 2299.19522 574 523 470 521 0.05 2291.99 573 624 574 521 572 0.05 2299.22523 575 524 471 522 0.05 2292.49 574 625 575 522 573 0.05 2299.53524 576 525 472 523 0.05 2292.82 575 626 576 523 574 0.05 2300.00525 577 526 473 524 0.05 2293.14 576 627 577 524 575 0.05 2300.00526 578 527 474 525 0.05 2292.57 577 628 578 525 576 0.05 2300.00527 579 528 475 526 0.05 2291.90 578 629 579 526 577 0.05 2300.00528 580 529 476 527 0.05 2291.48 579 630 580 527 578 0.05 2299.53529 581 530 477 528 0.05 2291.07 580 631 581 528 579 0.05 2298.97530 582 531 478 529 0.05 2291.54 581 632 582 529 580 0.05 2298.22531 583 532 479 530 0.05 2292.02 582 633 583 530 581 0.05 2298.67532 584 533 480 531 0.05 2292.78 583 634 584 531 582 0.05 2299.12533 585 534 481 532 0.05 2293.28 584 635 585 532 583 0.05 2299.59534 586 535 482 533 0.05 2294.03 585 636 586 533 584 0.05 2299.84535 587 536 483 534 0.05 2293.72 586 637 587 534 585 0.05 2300.50536 588 537 484 535 0.05 2294.16 587 638 588 535 586 0.05 2300.00537 589 538 485 536 0.05 2294.89 588 639 589 536 587 0.05 2300.00538 590 539 486 537 0.05 2296.71 589 640 590 537 588 0.05 2300.00539 591 540 487 538 0.05 2294.74 590 641 591 538 589 0.05 2300.00540 592 541 488 539 0.05 2294.33 591 642 592 539 590 0.05 2300.00541 593 542 489 540 0.05 2293.24 592 643 593 540 591 0.05 2300.00542 594 543 490 541 0.05 2295.13 593 644 594 541 592 0.05 2300.00543 595 544 491 542 0.05 2295.83 594 645 595 542 593 0.05 2300.00544 596 545 492 543 0.05 2295.21 595 646 596 543 594 0.05 2300.85545 597 546 493 544 0.05 2295.47 596 647 597 544 595 0.05 2301.25546 598 547 494 545 0.05 2297.89 597 648 598 545 596 0.05 2301.75547 599 548 495 545 0.05 2299.73 598 649 599 546 597 0.05 2305.68


160

599 650 600 547 598 0.05 2306.89 650 702 651 599 649 0.05 2313.37600 651 601 548 599 0.05 2306.53 651 703 652 600 650 0.05 2313.00601 652 602 549 600 0.05 2306.59 652 704 653 601 651 0.05 2314.18602 653 0 550 601 0.05 2303.02 653 705 0 602 652 0.05 2311.49603 655 604 552 0 0.05 2279.35 654 706 655 0 0 0.05 2284.81604 656 605 553 603 0.05 2280.81 655 707 656 603 654 0.05 2285.11605 657 606 554 604 0.05 2282.54 656 708 657 604 655 0.05 2287.32606 658 607 555 605 0.05 2283.86 657 709 658 605 656 0.05 2289.94607 659 608 556 606 0.05 2286.44 658 710 659 606 657 0.05 2291.03608 660 609 557 607 0.05 2285.84 659 711 660 607 658 0.05 2293.21609 661 610 558 608 0.05 2287.16 660 712 661 608 659 0.05 2293.75610 662 611 559 609 0.05 2289.41 661 713 662 609 660 0.05 2294.76611 663 612 560 610 0.05 2290.32 662 714 663 610 661 0.05 2296.33612 664 613 561 611 0.05 2290.26 663 715 664 611 662 0.05 2297.97613 665 614 562 612 0.05 2292.33 664 716 665 612 663 0.05 2298.73614 666 615 563 613 0.05 2293.83 665 717 666 613 664 0.05 2300.00615 667 616 564 614 0.05 2295.36 666 718 667 614 665 0.05 2300.00616 668 617 565 615 0.05 2296.27 667 719 668 615 666 0.05 2300.00617 669 618 566 616 0.05 2298.05 668 720 669 616 667 0.05 2300.56618 670 619 567 617 0.05 2299.89 669 721 670 617 668 0.05 2305.55619 671 620 568 618 0.05 2300.00 670 722 671 618 669 0.05 2306.87620 672 621 569 619 0.05 2300.00 671 723 672 619 670 0.05 2305.93621 673 622 570 620 0.05 2300.00 672 724 673 620 671 0.05 2306.82622 674 623 571 621 0.05 2301.12 673 725 674 621 672 0.05 2307.07623 675 624 572 622 0.05 2300.02 674 726 675 622 673 0.05 2309.29624 676 625 573 623 0.05 2302.90 675 727 676 623 674 0.05 2308.88625 677 626 574 624 0.05 2306.57 676 728 677 624 675 0.05 2309.90626 678 627 575 625 0.05 2304.49 677 729 678 625 676 0.05 2313.51627 679 628 576 626 0.05 2305.17 678 730 679 626 677 0.05 2312.97628 680 629 577 627 0.05 2302.53 679 731 680 627 678 0.05 2312.58629 681 630 578 628 0.05 2301.97 680 732 681 628 679 0.05 2310.86630 682 631 579 629 0.05 2303.03 681 733 682 629 680 0.05 2311.51631 683 632 580 630 0.05 2304.93 682 734 683 630 681 0.05 2312.44632 684 633 581 631 0.05 2305.85 683 735 684 631 682 0.05 2313.01633 685 634 582 632 0.05 2306.20 684 736 685 632 683 0.05 2313.64634 686 635 583 633 0.05 2306.48 685 737 686 633 684 0.05 2313.80635 687 636 584 634 0.05 2304.62 686 738 687 634 685 0.05 2313.91636 688 637 585 635 0.05 2306.81 687 739 688 635 686 0.05 2312.85637 689 638 586 636 0.05 2307.64 688 740 689 636 687 0.05 2313.79638 690 639 587 637 0.05 2305.88 689 741 690 637 688 0.05 2314.73639 691 640 588 638 0.05 2307.14 690 742 691 638 689 0.05 2313.92640 692 641 589 639 0.05 2303.94 691 743 692 639 690 0.05 2314.68641 693 642 590 640 0.05 2303.79 692 744 693 640 691 0.05 2313.68642 694 643 591 641 0.05 2303.79 693 745 694 641 692 0.05 2313.49643 695 644 592 642 0.05 2303.85 694 746 695 642 693 0.05 2314.69644 696 645 593 643 0.05 2305.04 695 747 696 643 694 0.05 2313.84645 697 646 594 644 0.05 2307.71 696 748 697 644 695 0.05 2314.28646 698 647 595 645 0.05 2309.93 697 749 698 645 696 0.05 2315.06647 699 648 596 646 0.05 2310.49 698 750 699 646 697 0.05 2318.41648 700 649 597 647 0.05 2310.39 699 751 700 647 698 0.05 2319.73649 701 650 598 648 0.05 2312.34 700 752 701 648 699 0.05 2319.63


161

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162

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163

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164

1007 1061 1008 954 1006 0.05 2357.40 1058 1112 1059 1004 1057 0.05 2369.581008 1062 1009 955 1007 0.05 2356.77 1059 1113 1060 1005 1058 0.05 2366.751009 1063 1010 956 1008 0.05 2356.71 1060 1114 1061 1006 1059 0.05 2360.801010 1064 1011 957 1009 0.05 2356.71 1061 1115 1062 1007 1060 0.05 2360.801011 1065 1012 958 1010 0.05 2356.34 1062 1116 1063 1008 1061 0.05 2360.001012 1066 1013 959 1011 0.05 2355.12 1063 1117 1064 1009 1062 0.05 2360.241013 1067 1014 960 1012 0.05 2356.34 1064 1118 1065 1010 1063 0.05 2360.001014 1068 1015 961 1013 0.05 2355.32 1065 1119 1066 1011 1064 0.05 2360.001015 1069 1016 962 1014 0.05 2355.64 1066 1120 1067 1012 1065 0.05 2360.001016 1070 1017 963 1015 0.05 2352.91 1067 1121 1068 1013 1066 0.05 2360.001017 1071 1018 964 1016 0.05 2351.30 10681122 1069 1014 1067 0.05 2360.001018 1072 1019 965 1017 0.05 2352.30 10691123 1070 1015 1068 0.05 2360.001019 1073 1020 966 1018 0.05 2354.45 10701124 1071 1016 1069 0.05 2360.001020 1074 0 967 1019 0.05 2356.09 1071 1125 1072 1017 1070 0.05 2358.801021 1075 1022 0 0 0.05 2320.00 1072 1126 1073 1018 1071 0.05 2359.141022 1076 1023 968 1021 0.05 2325.20 10731127 1074 1019 1072 0.05 2359.981023 1077 1024 969 1022 0.05 2328.70 1074 1128 0 1020 1073 0.05 2360.671024 1078 1025 970 1023 0.05 2328.42 10751129 1076 1021 0 0.05 2328.461025 1079 1026 971 1024 0.05 2329.17 10761130 1077 1022 1075 0.05 2330.451026 1080 1027 972 1025 0.05 2331.89 1077 1131 1078 1023 1076 0.05 2334.551027 1081 1028 973 1026 0.05 2336.21 1078 1132 1079 1024 1077 0.05 2336.191028 1082 1029 974 1027 0.05 2338.50 1079 1133 1080 1025 1078 0.05 2336.821029 1083 1030 975 1028 0.05 2340.00 10801134 1081 1026 1079 0.05 2338.881030 1084 1031 976 1029 0.05 2340.48 1081 1135 1082 1027 1080 0.05 2341.951031 1085 1032 977 1030 0.05 2347.40 1082 1136 1083 1028 1081 0.05 2342.751032 1086 1033 978 1031 0.05 2348.37 10831137 1084 1029 1082 0.05 2345.461033 1087 1034 979 1032 0.05 2351.43 1084 1133 1085 1030 1083 0.05 2347.681034 1088 1035 980 1033 0.05 2352.28 1085 1139 1086 1031 1084 0.05 2354.031035 1089 1036 981 1034 0.05 2354.25 1086 1140 1087 1032 1085 0.05 2357.771036 1090 1037 982 1035 0.05 2353.52 1087 1141 1088 1033 1086 0.05 2359.271037 1091 1038 983 1036 0.05 2353.78 1088 1142 1089 1034 1087 0.05 2359.451038 1092 1039 984 1037 0.05 2357.00 10891143 1090 1035 1088 0.05 2360.001039 1093 1040 985 1038 0.05 2359.39 10901144 1091 1036 1089 0.05 2360.001040 1094 1041 986 1039 0.05 2360.01 1091 1145 1092 1037 1090 0.05 2360.341041 1095 1042 987 1040 0.05 2360.60 10921146 1093 1038 1091 0.05 2364.421042 1096 1043 988 1041 0.05 2360.12 10931147 1094 1039 1092 0.05 2363.051043 1097 1044 989 1042 0.05 2363.17 10941148 1095 1040 1093 0.05 2366.921044 1098 1045 990 1043 0.05 2364.43 1095 1149 1096 1041 1094 0.05 2369.391045 1099 1046 991 1044 0.05 2364.82 1096 1150 1097 1042 1095 0.05 2370.051046 1100 1047 992 1045 0.05 2366.86 1097 1151 1098 1043 1096 0.05 2372.321047 1101 1048 993 1046 0.05 2366.59 10981152 1099 1044 1097 0.05 2373.681048 1102 1049 994 1047 0.05 2365.42 1099 1153 1100 1045 1098 0.05 2374.741049 1103 1050 995 1048 0.05 2369.55 1100 1154 1101 1046 1099 0.05 2377.801050 1104 1051 996 1049 0.05 2365.44 1101 1155 1102 1047 1100 0.05 2377.581051 1105 1052 997 1050 0.05 2361.45 1102 1156 1103 1048 1101 0.05 2376.711052 1106 1053 998 1051 0.05 2365.57 1103 1157 1104 1049 1102 0.05 2377.631053 1107 1054 999 1052 0.05 2368.01 11041158 1105 1050 1103 0.05 2375.781054 1108 1055 1000 1053 0.05 2370.87 11051159 1106 1051 1104 0.05 2372.931055 1109 1056 1001 1054 0.05 2368.09 1106 1160 1107 1052 1105 0.05 2376.561056 1110 1057 1002 1055 0.05 2366.29 1107 1161 1108 1053 1106 0.05 2376 761057 1111 1058 1003 1056 0.05 2368.01 1108 1162 1109 1054 1107 0.05 2379.15


165

1109 1163 1110 1055 1108 0.05 2377.041110 1164 1111 1056 1109 0.05 2375.521111 1165 1112 1057 1110 0.05 2376.481112 1166 1113 1058 1111 0.05 2378.371113 1167 1114 1059 1112 0.05 2374.091114 1168 1115 1060 1113 0.05 2370.871115 1169 1116 1061 1114 0.05 2370.041116 1170 1117 1062 1115 0.05 2368.081117 1171 1118 1063 1116 0.05 2368.711118 1172 1119 1064 1117 0.05 2366.541119 1173 1120 1065 1118 0.05 2367.041120 1174 1121 1066 1119 0.05 2368.291121 1175 1122 1067 1120 0.05 2363.021122 1176 1123 1068 1121 0.05 2360.001123 1177 1124 1069 1122 0.05 2360.001124 1178 1125 1070 1123 0.05 2360.741125 1179 1126 1071 1124 0.05 2360.001126 1180 1127 1072 1125 0.05 2366.881127 1181 1128 1073 1126 0.05 2368.031128 1182 0 1074 1127 0.05 2368.491129 1183 1130 1075 0 0.05 2337.851130 1184 1131 1076 1129 0.05 2338.811131 1185 1132 1077 1130 0.05 2340.001132 1186 1133 1078 1131 0.05 2340.001133 1187 1134 1079 1132 0.05 2340.051134 1188 1135 1080 1133 0.05 2346.031135 1189 1136 1081 1134 0.05 2350.251136 1190 1137 1082 1135 0.05 2351.761137 1191 1138 1083 1 i 36 0.05 2355.631138 1192 1139 1084 1137 0.05 2357.211139 1193 1140 1085 1138 0.05 2360.001140 1194 1141 1086 1139 0.05 2360.001141 1195 1142 1087 1140 0.05 2361.021142 1196 1143 1088 1141 0.05 2363.641143 1197 1144 1089 1142 0.05 2365.551144 1198 1145 1090 1143 0.05 2368.011145 1199 1146 1091 1144 0.05 2368.841146 1200 1147 1092 1145 0.05 2372.451147 1201 1148 1093 1146 0.05 2372.161148 1202 1149 1094 1147 0.05 2375.191149 1203 1150 1095 1148 0.05 2378.181150 1204 1151 1096 1149 0.05 2380.001151 1205 1152 1097 1150 0.05 2380.001152 1206 1153 1098 1151 0.05 2380.001153 1207 1154 1099 1152 0.05 2381.061154 1208 1155 1100 1153 0.05 2382.711155 1209 1156 1101 1154 0.05 2384.921156 1210 1157 1102 1155 0.05 2386.011157 1211 1158 1103 1156 0.05 2385.901158 1212 1159 1104 1157 0.05 2383.241159 1213 1160 1105 1158 0.05 2383.12

1160 1214 1161 1106 1159 0.05 2382.591161 1215 1162 1107 1160 0.05 2384.231162 1216 1163 1108 1161 0.05 2381.121163 1217 1164 1109 1162 0.05 2382.51

1164 1218 1165 1110 1163 0.05 2381.891165 1219 1166 1111 1164 0.05 2384.691166 1220 1167 1112 1165 0.05 2385.071167 1221 1168 1113 1166 0.05 2382.611168 1222 1169 1114 1167 0.05 2380.001169 1223 1170 1115 1168 0.05 2378.591170 1224 1171 1116 1169 0.05 2376.901171 1225 1172 1117 1170 0.05 2377.181172 1226 1173 1118 1171 0.05 2375.031173 1227 1174 1119 1172 0.05 2377.211174 1228 1175 1120 1173 0.05 2378.351175 1229 1176 1121 1174 0.05 2372.401176 1230 1177 1122 1175 0.05 2368.681177 1231 1178 1123 1176 0.05 2372.871178 1232 1179 1124 1177 0.05 2373.161179 1233 1180 1125 1178 0.05 2368.551180 1234 1181 1126 1179 0.05 2377.051181 1235 1182 1127 1180 0.052376.081182 1236 0 1128 1181 0.05 2375.791183 1237 1184 1129 0 0.05 2344.861184 1238 1185 1130 1183 0.05 2345.611185 1239 1186 1131 11&4 0.05 2345.271186 1240 1187 1132 1185 0.05 2347.911187 1241 1188 1133 1186 0.05 2349.381188 1242 1189 1134 1187 0.05 2352.771189 1243 1190 1135 1188 0.05 2359.181190 1244 1191 1136 1189 0.05 2360.001191 1245 1192 1137 1190 0.05 2360.001192 1246 1193 1138 1191 0.05 2362.561193 1247 1194 1139 1192 0.05 2362.941194 1248 1195 1140 1193 0.05 2365.081195 1249 1196 1141 1194 0.05 2368.601196 1250 1197 1142 1195 0.05 2371.261197 1251 1198 1143 1196 0.05 2373.231198 1252 1199 1144 1197 0.05 2375.631199 1253 1200 1145 1198 0.05 2380.001200 1254 1201 1146 1199 0.05 2380.001201 1255 1202 1147 1200 0.05 2381.281202 1256 1203 1148 1201 0.05 2382.871203 1257 1204 1149 1202 0.05 2385.611204 1258 1205 1150 1203 0.05 2385.431205 1259 1206 1151 1204 0.05 2385.341206 1260 1207 1152 1205 0.05 2386.731207 1261 1208 1153 1206 0.05 2388.521208 1262 1209 1154 1207 0.05 2390.381209 1263 1210 1155 1208 0.05 2392.771210 1264 1211 1156 1209 0.05 2394.48


166

1211 1265 1212 1157 1210 0.05 2394.481212 1266 1213 1158 1211 0.05 2392.651213 1267 1214 1159 1212 0.05 2391.961214 1268 1215 1160 1213 0.05 2390.411215 1269 1216 1161 1214 0.05 2392.071216 1270 1217 1162 1215 0.05 2391.281217 1271 1218 1163 1216 0.052391.151218 1272 1219 1164 1217 0.05 2391.311219 1273 1220 1165 1218 0.052392.811220 1274 1221 1166 1219 0.05 2392.011221 1275 1222 1167 1220 0.05 2389.641222 1276 1223 1168 1221 0.05 2386.021223 1277 1224 1169 1222 0.05 2386.111224 1278 1225 1170 1223 0.05 2383.521225 1279 1226 1171 1224 0.05 2380.001226 1280 1227 1172 1225 0.05 2380.001227 1281 1228 1173 1226 0.05 2380.001228 1282 1229 1174 1227 0.05 2380.001229 1283 1230 1175 1228 0.05 2381.361230 1284 1231 1176 1229 0.05 2380.231231 1285 1232 1177 1230 0.05 2380.001232 1286 1233 1178 1231 0.05 2380.001233 1287 1234 1179 1232 0.05 2380.001234 1288 1235 1180 1233 0.05 2380.001235 1289 1236 1181 1234 0.05 2380.991236 1290 0 1182 1235 0.05 2382.361237 1292 1238 1183 0 0.05 2350.961238 1293 1239 1184 1237 0.05 2352.731239 1294 1240 1185 1238 0.05 2353.411240 1295 1241 1186 1239 0.05 2355.641241 1296 1242 1187 1240 0.05 2359.541242 1297 1243 1188 1241 0.05 2360.001243 1298 1244 1189 1242 0.05 2360.001244 1299 1245 1190 1243 0.05 2364.361245 1300 1246 1191 1244 0.05 2367.461246 1301 1247 1192 1245 0.05 2370.381247 1302 1248 1193 1246 0.05 2371.781248 1303 1249 1194 1247 0.05 2374.131249 1304 1250 1195 1248 0.05 2376.251250 1305 1251 1196 1249 0.05 2378.811251 1306 1252 1197 1250 0.05 2380.001252 1307 1253 1198 1251 0.05 2380.001253 1308 1254 1199 1252 0.05 2384.361254 1309 1255 1200 1253 0.05 2386.821255 1310 1256 1201 1254 0.05 2388.021256 1311 1257 1202 1255 0.052391.431257 1312 1258 1203 1256 0.05 2393.031258 1313 1259 1204 1257 0.05 2393.441259 1314 1260 1205 1258 0.05 2394.411260 1315 1261 1206 1259 0.05 2395.651261 1316 1262 1207 1260 0.05 2397.77

1262 1317 1263 1208 1261 0.05 2398.051263 1318 1264 1209 1262 0.05 2400.001264 1319 1265 1210 1263 0.05 2402.581265 1320 1266 1211 1264 0.05 2400.401266 1321 1267 1212 1265 0.05 2400.841267 1322 1268 1213 1266 0.05 2400.001268 1323 1269 1214 1267 0.05 2399.591269 1324 1270 1215 1268 0.05 2399.661270 1325 1271 1216 1269 0.05 2400.951271 1326 1272 1217 1270 0.05 2399.621272 1327 1273 1218 1271 0.05 2401.081273 1328 1274 1219 1272 0.05 2400.821274 1329 1275 1220 1273 0.05 2398.661275 1330 1276 1221 1274 0.05 2396.191276 1331 1277 1222 1275 0.05 2393.501277 1332 1278 1223 1276 0.05 2393.421278 1333 1279 1224 1277 0.05 2391.381279 1334 1280 1225 1278 0.05 2389.051280 1335 1281 1226 1279 0.05 2386.321281 1336 1282 1227 1280 0.05 2386.941282 1337 1283 1228 1281 0.05 2387.341283 1338 1284 1229 1282 0.05 2388.401284 1339 1285 1230 1283 0.05 2387.071285 1340 1286 1231 1284 0.05 2383.371286 1341 1287 1232 1285 0.05 2382.241287 1342 1288 1233 1286 0.05 2380.001288 1343 1289 1234 1287 0.05 2381.211289 1344 1290 1235 1288 0.05 2387.081290 1345 0 1236 1289 0.05 2388.071291 1346 1292 0 0 0.05 2353.641292 1347 1293 1237 1291 0.05 2356.901293 1348 1294 1238 1292 0.05 2359.451294 1349 1295 1239 1293 0.05 2360.001295 1350 1296 1240 1294 0.05 2360.071296 1351 1297 1241 1295 0.05 2363.931297 1352 1298 1242 1296 0.05 2365.711298 1353 1299 1243 1297 0.05 2366.351299 1354 1300 1244 1298 0.05 2371.641300 1355 1301 1245 1299 0.05 2374.881301 1356 1302 1246 1300 0.05 2378.201302 1357 1303 1247 1301 0.05 2380.001303 1358 1304 1248 1302 0.05 2380.001304 1359 1305 1249 1303 0.05 2380.001305 1360 1306 1250 1304 0.05 2385.051306 1361 1307 1251 1305 0.05 2388.221307 1362 1308 1252 1306 0.05 2389.011308 1363 1309 1253 1307 0.05 2393.271309 1364 1310 1254 1308 0.05 2395.791310 1365 1311 1255 1309 0.05 2395.821311 1366 1312 1256 1310 0 05 2398 641312 1367 1313 1257 1311 0.05 2402.07


167

1313 1368 1314 1258 1312 0.05 2403.001314 1369 1315 1259 1313 0.05 2404.941315 1370 1316 1260 1314 0.05 2405.631316 1371 1317 1261 1315 0.05 2403.211317 1372 1318 1262 1316 0.05 2408.571318 1373 1319 1263 1317 0.05 2408.971319 1374 1320 1264 1318 0.05 2411.901320 1375 1321 1265 1319 0.05 2409.681321 1376 1322 1266 1320 0.05 2410.891322 1377 1323 1267 1321 0.05 2406.771323 1378 1324 1268 1322 0.05 2400.021324 1379 1325 1269 1323 0.05 2410.021325 1380 1326 1270 1324 0.05 2414.331326 1381 1327 1271 1325 0.05 2412.621327 1382 1328 1272 1326 0.05 2412.421328 1383 1329 1273 1327 0.05 2410.231329 1384 1330 1274 1328 0.05 2408.871330 1385 1331 1275 1329 0.05 2404.941331 1386 1332 1276 1330 0.05 2400.001332 1387 1333 1277 1331 0.05 2400.001333 1388 1334 1278 1332 0.05 2399.761334 1389 1335 1279 1333 0.05 2399.061335 1390 1336 1280 1334 0.05 2396.221336 1391 1337 1281 1335 0.05 2395.021337 1392 1338 1282 1336 0.05 2395.161338 1393 1339 1283 1337 0.05 2395.441339 1394 1340 1284 1338 0.05 2394.041340 1395 1341 1285 1339 0.05 2393.341341 1396 1342 1286 1340 0.05 2394.341342 1397 1343 1287 1341 0.05 2389.971343 1398 1344 1288 1342 0.05 2387.791344 1399 1345 1289 1343 0.05 2393.181345 1400 0 1290 1344 0.05 2393.641346 1401 1347 1291 0 0.05 2360.001347 1402 1348 1292 1346 0.05 2362.951348 1403 1349 1293 1347 0.05 2364.431349 1404 1350 1294 1348 0.05 2365.041350 1405 1351 1295 1349 0.05 2367.841351 1406 1352 1296 1350 0.05 2372.311352 1407 1353 1297 1351 0.05 2375.881353 1408 1354 1298 1352 0.05 2377.641354 1409 1355 1299 1353 0.05 2378.781355 1410 1356 1300 1354 0.05 2382.521356 1411 1357 1301 1355 0.05 2385.801357 1412 1358 1302 1356 0.05 2388.331358 1413 1359 1303 1357 0.05 2387.151359 1414 1360 1304 1358 0.05 2389.401360 1415 1361 1305 1359 0.05 2392.391361 1416 1362 1306 1360 0.05 2397.881362 1417 1363 1307 1361 0.05 2399.221363 1418 1364 1308 1362 0.05 2400.00

1364 1419 1365 1309 1363 0.05 2405.121365 1420 1366 1310 1364 0.05 2405.311366 1421 1367 1311 1365 0.05 2410.651367 1422 1368 1312 1366 0.05 2413.281368 1423 1369 1313 1367 0.05 2413.581369 1424 1370 1314 1368 0.05 2417.211370 1425 1371 1315 1369 0.05 2416.091371 1426 1372 1316 1370 0.05 2416.061372 1427 1373 1317 1371 0.05 2419.911373 1428 1374 1318 1372 0.05 2420.761374 1429 1375 1319 1373 0.05 2421.591375 1430 1376 1320 1374 0.05 2422.351376 1431 1377 1321 1375 0.05 2420.001377 1432 1378 1322 1376 0.05 2420.001378 1433 1379 1323 1377 0.05 2419.751379 1434 1380 1324 1378 0.05 2420.001380 1435 1381 1325 1379 0.05 2420.001381 1436 1382 1326 1380 0.05 2420.001382 1437 1383 1327 1381 0.05 2422.871383 1438 1384 1328 1382 0.05 2421.731384 1439 1385 1329 1383 0.05 2420.001385 1440 1386 1330 1384 0.05 2415.381386 1441 1387 1331 1385 0.05 2407.131387 1442 1388 1332 1386 0.05 2411.801388 1443 1389 1333 1387 0.05 2408.541389 1444 1390 1334 1388 0.05 2406.581390 1445 1391 1335 1389 0.05 2402.521391 1446 1392 1336 1390 0.05 2401.201392 1447 1393 1337 1391 0.05 2400.091393 1448 1394 1338 1392 0.05 2400.001394 1449 1395 1339 1393 0.05 2400.001395 1450 1396 1340 1394 0.05 2400.001396 1451 1397 1341 1395 0.05 2400.001397 1452 1398 1342 1396 0.05 2399.121398 1453 1399 1343 1397 0.05 2398.461399 1454 1400 1344 1398 0.05 2398.641400 1455 0 1345 1399 0.05 2399.161401 1456 1402 1346 0 0.05 2364.281402 1457 1403 1347 1401 0.05 2369.231403 1458 1404 1348 1402 0.05 2371.621404 1459 1405 1349 1403 0.05 2371.641405 1460 1406 1350 1404 0.05 2374.831406 1461 1407 1351 1405 0.05 2379.491407 1462 1408 1352 1405 0.05 2380.001408 1463 1409 1353 1407 0.05 2382 431409 1464 1410 1354 1408 0.05 2385.621410 1465 1411 1355 1409 0.05 2390.571411 1466 1412 1356 1410 0.05 2393.631412 1467 1413 1357 1411 0.05 2396.261413 1468 1414 1358 1412 0.05 2398.221414 1469 1415 1359 1413 0.05 2400.00


168

1415 1470 1416 1360 1414 0.05 2400.00 1466 1521 1467 1411 1465 0.05 2400.001416 1471 1417 1361 1415 0.05 2400.43 1467 1522 1468 1412 1466 0.05 2404.531417 1472 1418 1362 1416 0.05 2406.04 1468 1523 1469 1413 1467 0.05 2407.921418 1473 1419 1363 1417 0.05 2410.57 1469 1524 1470 1414 1468 0.05 2410.831419 1474 1420 1364 1418 0.05 2414.61 1470 1525 1471 1415 1469 0.05 2409.631420 1475 1421 1365 1419 0.05 2417.57 1471 1526 1472 1416 1470 0.05 2411.721421 1476 1422 1366 1420 0.05 2420.00 1472 1527 1473 1417 1471 0.05 2418.211422 1477 1423 1367 1421 0.05 2421.17 1473 1528 1474 1418 1472 0.05 2421.821423 1478 1424 1368 1422 0 05 2422.34 1474 1529 1475 1419 1473 0.05 2424.621424 1479 1425 1369 1423 0.05 2422.00 1475 1530 1476 1420 1474 0.05 2426.691425 1480 1426 1370 1424 0.05 2426.11 1476 1531 1477 1421 1475 0.05 2424.451426 1481 1427 1371 1425 0.05 2423.59 1477 1532 1478 1422 1476 0.05 2429.381427 1482 1428 1372 1426 0.05 2426.82 1478 1533 1479 1423 1477 0.05 2431.131428 1483 1429 1373 1427 0.05 2429.92 1479 1534 1480 1424 1478 0.05 2432.351429 1484 1430 1374 1428 0.05 2430.76 1480 1535 1481 1425 1479 0.05 2436.191430 1485 1431 1375 1429 0.05 2431.27 1481 1536 1482 1426 1480 0.05 2436.261431 1486 1432 1376 1430 0.05 2430.36 1482 1537 1483 1427 1481 0.05 2437.901432 1487 1433 1377 1431 0.05 2427.24 1483 1538 1484 1428 1482 0.05 2439.091433 1488 1434 1378 1432 0.05 2424.89 1484 1539 1485 1429 1483 0.05 2439.921434 1489 1435 1379 1433 0.05 2428.52 1485 1540 1486 1430 1484 0.05 2440.001435 1490 1436 1380 1434 0.05 2429.13 1486 1541 1487 1431 1485 0.05 2441.241436 1491 1437 1381 1435 0.05 2430.33 1487 1542 1488 1432 1486 0.05 2440.001437 1492 1438 1382 1436 0.05 2432.95 1488 1543 1489 1433 1487 0.05 2437.021438 1493 1439 1383 1437 0.05 2431.74 1489 1544 1490 1434 1488 0.05 2438.211439 1494 1440 1384 1438 0.05 2426.69 1490 1545 1491 1435 1489 0.05 2438.371440 1495 1441 1385 1439 0.05 2420.84 1491 1546 1492 1436 1490 0.05 2440.001441 1496 1442 1386 1440 0.05 2420.00 1492 1547 1493 1437 1491 0.05 2440.001442 1497 1443 1387 1441 0.05 2420.00 1493 1548 1494 1438 1492 0.05 2440.001443 1498 1444 1388 1442 0.05 2420.00 1494 1549 1495 1439 1493 0.05 2434.821444 1499 1445 1389 1443 0.05 2418.89 1495 1550 1496 1440 1494 0.05 2430.431445 1500 1446 1390 1444 0.05 2414.26 1496 1551 1497 1441 1495 0.05 2424.911446 1501 1447 1391 1445 0.05 2411.55 1497 1552 1498 1442 1496 0.05 2425.881447 1502 1448 1392 1446 0.05 2410.23 1498 1553 1499 1443 1497 0.05 2424.741448 1503 1449 1393 1447 0.05 2400.00 1499 1554 1500 1444 1498 0.05 2426.821449 1504 1450 1394 1448 0.05 2401.93 1500 1555 1501 1445 1499 0.05 2420.001450 1505 1451 1395 1449 0.05 2407.39 1501 1556 1502 1446 1500 0.05 2420.001451 1506 1452 1396 1450 0.05 2405.64 1502 1557 1503 1447 1501 0.05 2420.001452 1507 1453 1397 1451 0.05 2401.41 1503 1558 1504 1448 1502 0.05 2401.551453 1508 1454 1398 1452 0.05 2400.00 1504 1559 1505 1449 1503 0.05 2411.611454 1509 1455 1399 1453 0.05 2400.00 1505 1560 1506 1450 1504 0.05 2414.711455 1510 0 1400 1454 0.05 2400.00 1506 1561 1507 1451 1505 0.05 2414.301456 1511 1457 1401 0 0.05 2371.26 1507 1562 1508 1452 1506 0.05 2409.911457 1512 1458 1402 1456 0.05 2374.79 1508 1563 1509 1453 1507 0.05 2406.831458 1513 1459 1403 1457 0.05 2378.47 1509 1564 1510 1454 1508 0.05 2405.181459 1514 1460 1404 1458 0.05 2378.50 1510 1565 014551509 0.05 2406.941460 1515 1461 1405 1459 0.05 2380.31 1511 1566 1512 1456 0 0.05 2378.501461 1516 1462 1406 1460 0.05 2384.24 1512 1567 1513 1457 1511 0.05 2381.361462 1517 1463 1407 1461 0.05 2386.04 1513 1568 1514 1458 1512 0.05 2383.761463 1518 1464 1408 1462 0,05 2390.38 1514 1569 1515 1459 1513 0.05 2384.191464 1519 1465 1409 1463 0.05 2392.34 1515 1570 1516 1460 1514 0.05 2385.601465 1520 1466 1410 1464 0.05 2397.58 1516 1571 1517 1461 1515 0.05 2391.51


169

1517 1572 1518 1462 1516 0.05 2394.241518 1573 1519 1463 1517 0.05 2397.741519 1574 1520 1464 1518 0.05 2399.911520 1575 1521 1465 1519 0.05 2403.681521 1576 1522 1466 1520 0.05 2402.301522 1577 1523 1467 1521 0.05 2412.081523 1578 1524 1468 1522 0.05 2416.781524 1579 1525 1469 1523 0.05 2420.231525 1580 1526 1470 1524 0.05 2422.881526 1581 1527 1471 1525 0.05 2421.111527 1582 1528 1472 1526 0.05 2425.041528 1583 1529 1473 1527 0.05 2430.361529 1584 1530 1474 1528 0.05 2432.941530 1585 1531 1475 1529 0.05 2434.911531 1586 1532 1476 1530 0.05 2435.491532 1587 1533 1477 1531 0.05 2438.361533 1588 1534 1478 1532 0.05 2440.371534 1589 1535 1479 1533 0.05 2440.921535 1590 1536 1480 1534 0.05 2440.001536 1591 1537 1481 1535 0.05 2445.631537 1592 1538 1482 1536 0.05 2447.241538 1593 1539 1483 1537 0.05 2448.421539 1594 1540 1484 1538 0.05 2446.811540 1595 1541 1485 1539 0.05 2444.731541 1596 1542 1486 1540 0.05 2450.131542 1597 1543 1487 1541 0.05 2444.191543 1598 1544 1488 1542 0.05 2444.551544 1599 1545 1489 1543 0.05 2447.761545 1600 1546 1490 1544 0.05 2448.111546 1601 1547 1491 1545 0.05 2445.471547 1602 1548 1492 1546 0.05 2445.161548 1603 1549 1493 1547 0.05 2442.481549 1604 1550 1494 1548 0.05 2440.001550 1605 1551 1495 1549 0.05 2440.001551 1606 1552 1496 1550 0.05 2437.681552 1607 1553 1497 1551 0.05 2436.881553 1608 1554 1498 1552 0.05 2436.851554 1609 1555 1499 1553 0.05 2432.801555 1610 1556 1500 1554 0.05 2425.661556 1611 1557 1501 1555 0.05 2428.891557 1612 1558 1502 1556 0.05 2428.521558 1613 1559 1503 1557 0.05 2423.441559 1614 1560 1504 1558 0.05 2421.351560 1615 1561 1505 1559 0.05 2423.771561 1616 1562 1506 1560 0.05 2423.991562 1617 1563 1507 1561 0.05 2419.791563 1618 1564 1508 1562 0.05 2417.031564 1619 1565 1509 1563 0.05 2413.811565 1620 0 1510 1564 0.05 2414.081566 1621 1567 1511 0 0.05 2382.031567 1622 1568 1512 1566 0.05 2386.70

1568 1623 1569 1513 1567 0.05 2389.541569 1624 1570 1514 1568 0.05 2391.101570 1625 1571 1515 1569 0.05 2393.371571 1626 1572 1516 1570 0.05 2397.931572 1627 1573 1517 1571 0.05 2401.101573 1628 1574 1518 1572 0.05 2401.501574 1629 1575 1519 1573 0.05 2409.151575 1630 1576 1520 1574 0.05 2416.271576 1631 1577 1521 1575 0.05 2417.581577 1632 1578 1522 1576 0.05 2420.121578 1633 1579 1523 1577 0.05 2424.761579 1634 1580 1524 1578 0.05 2428.641580 1635 1581 1525 1579 0.05 2431.571581 1636 1582 1526 1580 0.05 2432.511582 1637 1583 1527 1581 0.05 2436.331583 1638 1584 1528 1582 0.05 2439.531584 1639 1585 1529 1583 0.05 2441.611585 1640 1586 1530 1584 0.05 2443.941586 1641 1587 1531 1585 0.05 2446.801587 1642 1588 1532 1586 0.05 2446.611588 1643 1589 1533 1587 0.05 2449.041589 1644 1590 1534 1588 0.05 2450.231590 1645 1591 1535 1589 0.05 2448.111591 1646 1592 1536 1590 0.05 2452.001592 1647 1593 1537 1591 0.05 2455.931593 1648 1594 1538 1592 0.05 2457.671594 1649 1595 1539 1593 0.05 2457.921595 1650 1596 1540 1594 0.05 2457.921596 1651 1597 1541 1595 0.05 2459.931597 1652 1598 1542 1596 0.05 2457.221598 1653 1599 1543 1597 0.05 2455.631599 1654 1600 1544 1598 0.05 2457.161600 1655 1601 1545 1599 0.05 2457.981601 1656 1602 1546 1600 0.05 2458.181602 1657 1603 1547 1601 0.05 2455.411603 1658 1604 1548 1602 0.05 2453.421604 1659 1605 1549 1603 0.05 2447.611605 1660 1606 1550 1604 0.05 2444.511606 1661 1607 1551 1605 0.05 2445.211607 1662 1608 1552 1606 0.05 2444.821608 1663 1609 1553 1607 0.05 2441.211609 1664 1610 1554 1608 0.05 2440.001610 1665 1611 1555 1609 0.05 2438.721611 1666 1612 1556 1610 0.05 2440.001612 1667 1613 1557 1611 0.05 2440.001613 1668 1614 1558 1612 0.05 2436.041614 1669 1615 1559 1613 0.05 2433.931615 1670 1616 1560 1614 0.05 2435.931616 1671 1617 1561 1615 0.05 2435.861617 1672 1618 1562 1616 0.05 2430.081618 1673 1619 1563 1617 0.05 2426 36


170

1619 1674 1620 1564 1618 0.05 2420.001620 1675 0 1565 1619 0.05 2420.941621 1676 1622 1566 0 0.05 2385.581622 1677 1623 1567 1621 0.05 2390.221623 1678 1624 1568 1622 0.05 2394.731624 1679 1625 1569 1623 0.05 2397.771625 1680 1626 1570 1624 0.05 2400.001626 1681 1627 1571 1625 0.05 2406.231627 1682 1628 1572 1626 0.05 2410.931628 1683 1629 1573 1627 0.05 2413.401629 1684 1630 1574 1628 0.05 2419.381630 1685 1631 1575 1629 0.05 2420.001631 1686 1632 1576 1630 0.05 2420.001632 1687 1633 1577 1631 0.05 2427.471633 1688 1634 1578 1632 0.05 2432.881634 1689 1635 1579 1633 0.05 2436.801635 1690 1636 1580 1634 0.05 2440.091636 1691 1637 1581 1635 0.05 2441.751637 1692 1638 1582 1636 0.05 2440.291638 1693 1639 1583 1637 0.05 2445.031639 1 694 1 640 1 584 1 638 0.05 2450.341640 1695 1641 1585 1639 0.05 2453.661641 1696 1642 1586 1640 0.05 2457.691642 1697 1643 1587 1641 0.05 2460.001643 1698 1644 1588 1642 0.05 2458.621644 1699 1645 1589 1643 0.05 2459.731645 1700 1646 1590 1644 0.05 2460.001646 1701 1647 1591 1645 0.05 2461.491647 1702 1648 1592 1646 0.05 2465.231648 1703 1649 1593 1647 0.05 2465.571649 1704 1650 1594 1648 0.05 2466.381650 1705 1651 1595 1649 0.05 2464.451651 1706 1652 1596 1650 0.05 2466.831652 1707 1653 1597 1651 0.05 2467.701653 1708 1654 1598 1652 0.05 2466.631654 1709 1655 1599 1653 0.05 2465.501655 1710 1656 1600 1654 0.05 2466.311656 1711 1657 1601 1655 0.05 2466.991657 1712 1658 1602 1656 0.05 2463.511658 1713 1659 1603 1657 0.05 2460.921659 1714 1660 1604 1658 0.05 2460.001660 1715 1661 1605 1659 0.05 2457.351661 1716 1662 1606 1660 0.05 2455.871662 1717 1663 1607 1661 0.05 2455.161663 1718 1664 1608 1662 0.05 2451.211664 1719 1665 1609 1663 0.05 2447.431665 1720 1666 1610 1664 0.05 2443.851666 1721 1667 1611 1665 0.05 2440.001667 1722 1668 1612 1666 0.05 2440.001668 1723 1669 1613 1667 0.05 2440.001669 1724 1670 1614 1668 0.05 2440.00

1670 1725 1671 1615 1669 0.05 2440.001671 1726 1672 1616 1670 0.05 2440.001672 1727 1673 1617 1671 0.05 2435.651673 1728 1674 1618 1672 0.05 2435.401674 1729 1675 1619 1673 0.05 2426.541675 1730 0 1620 1674 0.05 2427.421676 0 1677 1621 0 0.05 2391.631677 1731 1678 1622 1676 0.05 2394.541678 1732 1679 1623 1677 0.05 2398.701679 1733 1680 1624 1678 0.05 2400.001680 1734 1681 1625 1679 0.05 2404.201681 1735 1682 1626 1680 0.05 2412.361682 1736 1683 1627 1681 0.05 2419.551683 1737 1684 1628 1682 0.05 2423.411684 1738 1685 1629 1683 0.05 2423.201685 1739 1686 1630 1684 0.05 2426.881686 1740 1687 1631 1685 0.05 2428.821687 1741 1688 1632 1686 0.05 2436.101688 1742 1689 1633 1687 0.05 2441.461689 1743 1690 1634 1688 0.05 2445.631690 1744 1691 1635 1689 0.05 2448.861691 1745 1692 1636 1690 0.05 2451.091692 1746 1693 1637 1691 0.05 2449.981693 1747 1694 1638 1692 0.05 2454.161694 1748 1695 1639 1693 0.05 2458.661695 1749 1696 1640 1694 0.05 2462.361696 1750 1697 1641 1695 0.05 2466.051697 1751 1698 1642 1696 0.05 2465.051698 1752 1699 1643 1697 0.05 2464*121699 1753 1700 1644 1698 0.05 2467.141700 1754 1701 1645 1699 0.05 2465.091701 1755 1702 1646 1700 0.05 2469.051702 1756 1703 1647 1701 0.05 2475.111703 1757 1704 1648 1702 0.05 2473.071704 1758 1705 1649 1703 0.05 2473.821705 1759 1706 1650 1704 0.05 2473.191706 1760 1707 1651 1705 0.05 2476.021707 1761 1708 1652 1706 0.05 2477.111708 1762 1709 1653 1707 0.05 2475.291709 1763 1710 1654 1708 0.05 2473.201710 1764 1711 1655 1709 0.05 2473.951711 1765 1712 1656 1710 0.05 2475.671712 1766 1713 1657 1711 0.05 2470.961713 1767 1714 1658 1712 0.05 2469.711714 1768 1715 1659 1713 0.05 2466.481715 1769 1716 1660 1714 0.05 2460.001716 1770 1717 1661 1715 0.05 2464.701717 1771 1718 1662 1716 0.05 2463.671718 1772 1719 1663 1717 0.05 2459.361719 1773 1720 1664 1718 0.05 2458.371720 1774 1721 1665 1719 0.05 2454.28


171

1721 1775 1722 1666 1720 0.05 2454.04 1772 1826 1773 1718 1771 0.05 2469.351722 1776 1723 1667 1721 0.05 2444.28 1773 1827 1774 1719 1772 0.05 2466.891723 1777 1724 1668 1722 0.05 2440.00 1774 1828 1775 1720 1773 0.05 2460.671724 1778 1725 1669 1723 0.05 2440.00 1775 1829 1776 1721 1774 0.05 2460.001725 1779 1726 1670 1724 0.05 2440.00 1776 1830 1777 1722 1775 0.05 2444.071726 1780 1727 1671 1725 0.05 2440.00 1777 1831 1778 1723 1776 0.05 2446.071727 1781 1728 1672 1726 0.05 2440.00 1778 1832 1779 1724 1777 0.05 2444.321728 1782 1729 1673 1727 0.05 2440.00 1779 1833 1780 1725 1778 0.05 2445.381729 1783 1730 1674 1728 0.05 2437.16 1780 1834 1781 1726 1779 0.05 2440.001730 1784 0 1675 1729 0.05 2433.89 1781 1835 1782 1727 1780 0.05 2441.981731 1785 1732 1677 0 0.05 2400.00 1782 1836 1783 1728 1781 0.05 2442.771732 1786 1733 1678 1731 0.05 2401.86 1783 1837 1784 1729 1782 0.05 2440.161733 1787 1734 1679 1732 0.05 2406.94 1784 1838 017301783 0.05 2440.001734 1788 1735 1680 1733 0.05 2409.82 1785 0 1786 1731 0 0.05 2402.031735 1789 1736 1681 1734 0.05 2415.49 1786 1839 1787 1732 1785 0.05 2406.121736 1790 1737 1682 1735 0.05 2423.90 1787 1840 1788 1733 1786 0.05 2413.381737 1791 1738 1683 1736 0.05 2430.68 1788 1841 1789 1734 1787 0.05 2417.081738 1792 1739 1684 1737 0.05 2434.36 1789 1842 1790 1735 1788 0.05 2420.001739 1793 1740 1685 1738 0.05 2437.05 1790 1843 1791 1736 1789 0.05 2429.081740 1794 1741 1686 1739 0.05 2440.00 1791 1844 1792 1737 1790 0.05 2436.551741 1795 1742 1687 1740 0.05 2440.00 1792 1845 1793 1738 1791 0.05 2442.531742 1796 1743 1688 1741 0.05 2448.34 1793 1846 1794 1739 1792 0.05 2444.861743 1797 1744 1689 1742 0.05 2454.83 1794 1847 1795 1740 1793 0.05 2445.171744 1798 1745 1690 1743 0.05 2458.01 1795 1848 1796 1741 1794 0.05 2446.861745 1799 1746 1691 1744 0.05 2459.75 1796 1849 1797 1742 1795 0.05 2454.861746 1800 1747 1692 1745 0.05 2460.31 1797 1850 1798 1743 1796 0.05 2460.001747 1801 1748 1693 1746 0.05 2460.00 1798 1851 1799 1744 1797 0.05 2462.131748 1802 1749 1694 1747 0.05 2460.90 1799 1852 1800 1745 1798 0.05 2467.541749 1803 1750 1695 1748 0.05 2467.26 1800 1853 1801 1746 1799 0.05 2468.721750 1804 1751 1696 1749 0.05 2473.43 1801 1854 1802 1747 1800 0.05 2469.391751 1805 1752 1697 1750 0.05 2474.14 1802 1855 1803 1748 1801 0.05 2470.631752 1806 1753 1698 1751 0.05 2472.26 1803 1856 1804 1749 1802 0.05 2474.231753 1807 1754 1699 1752 0.05 2474.49 1804 1857 1805 1750 1803 0.05 2479.991754 1808 1755 1700 1753 0.05 2474.16 1805 1858 1806 1751 1804 0.05 2482.621755 1809 1756 1701 1754 0.05 2479.19 1806 1859 1807 1752 1805 0.05 2481.881756 1810 1757 1702 1755 0.05 2480.00 1807 1860 1808 1753 1806 0.05 2482.501757 1811 1758 1703 1756 0.05 2480.00 1808 1861 1809 1754 1807 0.05 2484.381758 1812 1759 1704 1757 0.05 2481.52 1809 1862 1810 1755 1808 0.05 2482.861759 1813 1760 1705 1758 0.05 2480.00 1810 1863 1311 1756 1809 0.05 2484.791760 1814 1761 1706 1759 0.05 2480.00 1811 1864 1812 1757 1810 0.05 2486.871761 1815 1762 1707 1760 0.05 2481.69 1812 1865 1813 1758 1811 0.05 2489.711762 1816 1763 1708 1761 0.05 2483.66 1813 1866 1814 1759 1812 0.05 2488.751763 1817 1764 1709 1762 0.05 2480.00 1814 1867 1815 1760 1813 0.05 2490.691764 1818 1765 1710 1763 0.05 2482.00 1815 1868 1816 1761 1814 0.05 2490.751765 1819 1766 1711 1764 0.05 2481.67 1816 1869 1817 1762 1815 0.05 2491.801766 1820 1767 1712 1765 0.05 2479.68 1817 1870 1818 1763 1816 0.05 2488.741767 1821 1768 1713 1766 0.05 2478.50 1818 1871 1819 1764 1817 0.05 2491.601768 1822 1769 1714 1767 0.05 2476.18 1819 1872 1820 1765 1818 0.05 2490.251769 1823 1770 1715 1768 0.05 2472.23 1820 1873 1821 1766 1819 0.05 2488.381770 1824 1771 1716 1769 0.05 2474.15 1821 1874 1822 1767 1820 0.05 2486.241771 1825 1772 1717 1770 0.05 2471.05 1822 1875 1823 1768 1821 0.05 2481.65


172

1823 1876 1824 1769 1822 0.05 2480.001824 1877 1825 1770 1823 0.05 2480.001825 1878 1826 1771 1824 0.05 2480.001826 1879 1827 1772 1825 0.05 2479.391827 1880 1828 1773 1826 0.05 2473.951828 1881 1829 1774 1827 0.05 2465.131829 1882 1830 1775 1828 0.05 2460.001830 1883 1831 1776 1829 0.05 2460.001831 1884 1832 1777 1830 0.05 2458.841832 1885 1833 1778 1831 0.05 2455.971833 1886 1834 1779 1832 0.05 2451.971834 1887 1835 1780 1833 0.05 2445.361835 1888 1836 1781 1834 0.05 2449.671836 1889 1837 1782 1835 0.05 2451 071837 1890 1838 1783 1836 0.05 2447.441838 1891 0 1784 1837 0.05 2445.651839 1892 1840 1786 0 0.05 2413.301840 1893 1841 1787 1839 0.05 2419.271841 1894 1842 1788 1840 0.05 2420.001842 1895 1843 1789 1841 0.05 2422.691843 1896 1844 1790 1842 0.05 2437.131844 1897 1845 1791 1843 0.05 2444.101845 1898 1846 1792 1844 0.05 2450.001846 1899 1847 1793 1845 0.05 2453.541847 1900 1848 1794 1846 0.05 2455.331848 1901 1849 1795 1847 0.05 2459.831849 1902 1850 1796 1848 0.05 2460.001850 1903 1851 1797 1849 0.05 2461.211851 1904 1852 1798 1850 0.05 2467.741852 1905 1853 1799 1851 0.05 2475.211853 1906 1854 1800 1852 0.05 2477.091854 1907 1855 1801 1853 0.05 2478.871855 1908 1856 1802 1854 0.05 2480.341856 1909 1857 1803 1855 0.05 2482.581857 1910 1858 1804 1856 0.05 2486.241858 1911 1859 1805 1857 0.05 2491.401859 1912 1860 1806 1858 0.05 2492.361860 1913 1861 1807 1859 0.05 2492.501861 1914 1862 1808 1850 0.05 2494.751862 1915 1863 1809 1861 0.05 2493.201863 1916 1864 1810 1862 0.05 2499.321864 1917 1865 1811 1863 0.05 2497.761865 1918 1866 1812 1864 0.05 2497.491866 1919 1867 1813 1865 0.05 2500.001867 1920 1868 1814 1866 0.05 2500.001868 1921 1869 1815 1867 0.05 2500.001869 1922 1870 1816 1868 0.05 2499.911870 1923 1871 1817 1869 0.05 2500.001871 1924 1872 1818 1870 0.05 2500.001872 1925 1873 1819 1871 0.05 2497.961873 1926 1874 1820 1872 0.05 2497.62

1874 1927 1875 1821 1873 0.05 2493.901875 1928 1876 1822 1874 0.05 2490.751876 1929 1877 1823 1875 0.05 2492.641877 1930 1878 1824 1876 0.05 2486.701878 1931 1879 1825 1877 0.05 2480.001879 1932 1880 1826 1878 0.05 2480.001880 1933 1881 1827 1879 0.05 2480.001881 1934 1882 1828 1880 0.05 2471.711882 1935 1883 1829 1881 0.05 2466.441883 1936 1884 1830 1882 0.05 2468.601884 1937 1885 1831 1883 0.05 2468.201885 1938 1886 1832 1884 0.05 2467.651886 1939 1887 1833 1885 0.05 2460.001887 1940 1888 1834 1886 0.05 2461.731888 1941 1889 1835 1887 0.05 2459.581889 1942 1890 1836 1888 0.05 2459.331890 1943 1891 1837 1889 0.05 2457.111891 1944 0 1838 1890 0.05 2455.381892 0 1893 1839 0 0.05 2420.501893 1945 1894 1840 1892 0.05 2426.851894 1946 1895 1841 1893 0.05 2430.071895 1947 1896 1842 1894 0.05 2433.341896 1948 1897 1843 1895 0.05 2440.001897 1949 1898 1844 1896 0.05 2448.351898 1950 1899 1845 1897 0.05 2457.361899 1951 1900 1846 1898 0.05 2462.091900 1952 1901 1847 1899 0.05 2464.531901 1953 1902 1848 1900 0.05 2467.961902 1954 1903 1849 1901 0.05 2464.631903 1955 1904 1850 1902 0.05 2472.281904 1956 1905 1851 1903 0.05 2480.001905 1957 1906 1852 1904 0.05 2480.001906 1958 1907 1853 1905 0.05 2480.001907 1959 1908 1854 1906 0.05 2483.671908 1960 1909 1855 1907 0.05 2488.541909 1961 1910 1856 1908 0.05 2490.841910 1962 1911 1857 1909 0.05 2493.681911 1963 1912 1858 1910 0.05 2496 511912 1964 1913 18591911 0.05 2500.001913 1965 1914 1860 1912 0.05 2500.001914 1966 1915 1861 1913 0.05 2500.001915 1967 1916 1862 1914 0.05 2500.001916 1968 1917 1863 1915 0.05 2500.001917 1969 1918 1864 1916 0.05 2500.611918 1970 1919 1865 1917 0.05 2504.481919 1971 1920 1866 1918 0.05 2505 821920 1972 1921 1867 1919 0.05 2506.931921 1973 1922 1868 1920 0.05 2509.361922 1974 1923 1869 1921 0.05 2509.411923 1975 1924 1870 1922 0.05 2507.011924 1976 1925 1871 1923 0.05 2505.20


173

1925 1977 1926 1872 1924 0.05 2504.711926 1978 1927 1873 1925 0.05 2504.111927 1979 1928 1874 1926 0.05 2502.531928 1980 1929 1875 1927 0.05 2500.001929 1981 1930 1876 1928 0.05 2500.001930 1982 1931 1877 1929 0.05 2498.121931 1983 1932 1878 1930 0.05 2489.631932 1984 1933 1879 1931 0.05 2481.451933 1985 1934 1880 1932 0.05 2480.001934 1986 1935 1881 1933 0.05 2480.001935 1987 1936 1882 1934 0.05 2480.001936 1988 1937 1883 1935 0.05 2480.001937 1989 1938 1884 1936 0.05 2479.501938 1990 1939 1885 1937 0.05 2476.851939 1991 1940 1885 1938 0.05 2467.501940 1992 1941 1887 1939 0.05 2473.491941 1993 1942 1888 1940 0.05 2471.811942 1994 1943 1889 1941 0.05 2469.811943 1995 1944 1890 1942 0.05 2464.731944 1996 0 1891 1943 0.05 2463.421945 0 1946 1893 0 0.05 2434.481946 1997 1947 1894 1945 0.05 2440.001947 1998 1948 1895 1946 0.05 2440.001948 1 999 1 949 1 896 1947 0.05 2446.751949 2000 1950 1897 1948 0.05 2457.771950 2001 1951 1898 1949 0.05 2460.001951 2002 1952 1899 1950 0.05 2468.951952 2003 1953 1900 1951 0.05 2472.901953 2004 1954 1901 1952 0.05 2475.401954 2005 1955 1902 1953 0.05 2479.691955 2006 1956 1903 1954 0.05 2480.001956 2007 1957 1904 1955 0.05 2481.531957 2008 1958 1905 1956 0.05 2486.041958 2009 1959 1906 1957 0.05 2486.201959 2010 1960 1907 1958 0.05 2492.911960 2011 1961 1908 1959 0.05 2496.591961 2012 1962 1909 1960 0.05 2499.571962 2013 1963 1910 1961 0.05 2500.001963 2014 1964 1911 1962 0.052500.001964 2015 1965 1912 1963 0.05 2501.421965 2016 1966 1913 1964 0.05 2507.381966 2017 1967 1914 1965 0.05 2508.161967 2018 1968 1915 1966 0.05 2512.431968 2019 1969 1916 1967 0.05 2510.551969 2020 1970 1917 1968 0.05 2511.201970 2021 1971 1918 1969 0.05 2514.711971 2022 1972 1919 1970 0.05 2516.981972 2023 1973 1920 1971 0.05 2519.401973 2024 1974 1921 1972 0.05 2519.641974 2025 1975 1922 1973 0.05 2518.931975 2026 1976 1923 1974 0.05 2517.73

1976 2027 1977 1924 1975 0.05 2515.101977 2028 1978 1925 1976 0.05 2513.831978 2029 1979 1926 1977 0.05 2514.711979 2030 1980 1927 1978 0.05 2514.441980 2031 1981 1928 1979 0.05 2509.441981 2032 1982 1929 1980 0.05 2503.681982 2033 1983 1930 1981 0.05 2500.001983 2034 1984 1931 1982 0.05 2500.001984 2035 1985 1932 1983 0.05 2498.781985 2036 1986 1933 1984 0.05 2485.911986 2037 1987 1934 1985 0.05 2480.001987 2038 1988 1935 1986 0.05 2480.001988 2039 1989 1936 1987 0.05 2480.001989 2040 1990 1937 1988 0.05 2480.001990 2041 1991 1938 1989 0.05 2480.001991 2042 1992 1939 1990 0.05 2480.541992 2043 1993 1940 1991 0.05 2480.001993 2044 1994 1941 1992 0.05 2480 001994 2045 1995 1942 1993 0.05 2475.601995 2046 1996 1943 1994 0.05 2471.221996 2047 0 1944 1995 0.05 2469.341997 2048 1998 1946 0 0.05 2441.251998 2049 1999 1947 1997 0.05 2443.401999 2050 2000 1948 1998 0.05 2457.292000 2051 2001 1949 1999 0.05 2462.682001 2052 2002 1950 2000 0.05 2465.082002 2053 2003 1951 2001 0.05 2468.642003 2054 2004 1952 2002 0.05 2480.002004 2055 2005 1953 2003 0.05 2480.002005 2056 2006 1954 2004 0.05 2480.002006 2057 2007 1955 2005 0.05 2483.782007 2058 2008 1956 2006 0.05 2492.112008 2059 2009 1957 2007 0.05 2498.722009 2060 2010 1958 2008 0.05 2500.002010 2061 2011 1959 2009 0.05 2500.002011 2062 2012 1960 2010 0.05 2504.092012 2063 2013 1961 2011 0.05 2506.632013 2064 2014 1962 2012 0.05 2502.502014 2065 2015 1963 2013 0.05 2510.522015 2066 2016 1964 2014 0,05 2514.642016 2067 2017 1965 2015 0.05 2519.842017 2068 2018 1966 2016 0.05 2520.002018 2069 2019 1967 2017 0.05 2520.002019 2070 2020 1968 2018 0.05 2520.002020 2071 2021 1969 2019 0.05 2521.022021 2072 2022 1970 2020 0.05 2523.732022 2073 2023 1971 2021 0.05 2525.662023 2074 2024 1972 2022 0.05 2525.882024 2075 2025 1973 2023 0.05 2522 062025 2076 2026 1974 2024 0.05 2526.272026 2077 2027 1975 2025 0.05 2527.21


174

2027 2078 2028 1976 20262028 2079 2029 1977 20272029 2080 2030 1978 20282030 2081 2031 1979 20292031 2082 2032 1980 20302032 2083 2033 1981 20312033 2084 2034 1982 20322034 2085 2035 1983 20332035 2086 2036 1984 20342036 2087 2037 1985 20352037 2088 2038 1986 20362038 2089 2039 1987 20372039 2090 2040 1988 20382040 2091 2041 1989 20392041 2092 2042 1990 20402042 2093 2043 1991 20412043 2094 2044 1992 20422044 2095 2045 1993 20432045 2096 2046 1994 20442046 2097 2047 1995 20452047 0 0 1996 2046 0.2048 0 2049 1997 0 0.2049 2098 2050 1998 20482050 2099 2051 1999 20492051 2100 2052 2000 20502052 2101 2053 2001 20512053 2102 2054 2002 20522054 2103 2055 2003 20532055 2104 2056 2004 20542056 2105 2057 2005 20552057 2106 2058 2006 20562058 2107 2059 2007 20572059 2108 2060 2008 20582060 2109 2061 2009 20592061 2110 2062 2010 20602062 2111 2063 2011 20612063 2112 2064 2012 20622064 2113 2065 2013 20632065 2114 2066 2014 20642066 2115 2067 2015 20652067 2116 2068 2016 20662068 2117 2069 2017 20672069 2118 2070 2018 20682070 2119 2071 2019 20692071 2120 2072 2020 20702072 2121 2073 2021 20712073 2122 2074 2022 20722074 2123 2075 2023 20732075 2124 2076 2024 20742076 2125 2077 2025 20752077 2126 2078 2026 2076

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0.05 2480.00 05 2462.71

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175

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176

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177

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178

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179

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2601 2628 2602 2570 2600 0.05 2645.022602 2629 2603 2571 2601 0.05 2647.862603 2630 2604 2572 2602 0.05 2647.512604 2631 2605 2573 2603 0.05 2645.702605 2632 2606 2574 2604 0.05 2643.172606 2633 2607 2575 2605 0.05 2644.722607 2634 2608 2576 2606 0.05 2640.002608 2635 2609 2577 2607 0.05 2640.002609 2636 2610 2578 2608 0.05 2640.002610 2637 2611 2579 2609 0.05 2629.392611 2638 2612 2580 2610 0.05 2623.252612 2639 2613 2581 2611 0.05 2620.002613 2640 2614 2582 2612 0.05 2620.002614 2641 2615 2583 2613 0.05 2616.992615 2642 2616 2584 2614 0.05 2605.182616 2643 0 2585 2615 0.05 2600.002617 0 2618 2590 0 0.05 2607.462618 0 2619 2591 2617 0.05 2651.902619 2644 2620 2592 2618 0.05 2662.322620 2645 2621 2593 2619 0.05 2625.602621 2646 2622 2594 2620 0.05 2627.492622 2647 2623 2595 2621 0.05 2639.932623 2648 2624 2596 2622 0.05 2640.002624 2649 2625 2597 2623 0.05 2645.732625 2650 2626 2598 2624 0.05 2647 102626 2651 2627 2599 2625 0.05 2647.152627 2652 2628 2600 2626 0.05 2649.072628 2653 2629 2601 2627 0.05 2654 392629 2654 2630 2602 2628 0.05 2655.682630 2655 2631 2603 2629 0.05 2655.322631 2656 2632 2604 2630 0.05 2654.722632 2657 2633 2605 2631 0.05 2655.042633 2658 2634 2606 2632 0.05 2657.242634 2659 2635 2607 2633 0.05 2652.062635 2660 2636 2608 2634 0.05 2649.002636 2661 2637 2609 2635 0.05 2641.382637 2662 2638 2610 2636 0.05 2642.052638 2663 2639 2611 2637 0.05 2641.27


180

2639 2664 2640 2612 2638 0.05 2635.86 26902712 0 2667 2689 0.05 2622.982640 2665 2641 2613 2639 0.05 2630.64 2691 2713 2692 2669 0 0.05 2674.842641 2666 2642 2614 2640 0.05 2620.00 2692 2714 2693 2670 2691 0.05 2648.812642 2667 2643 2615 2641 0.05 2600.20 26932715 2694 2671 2692 0.05 2660.002643 0 0 2616 2642 0 05 2600.00 2694 2716 2695 2672 2693 0.05 2660.002644 0 2645 2619 0 0.05 2696.12 26952717 2696 2673 2694 0.05 2662.122645 2668 2646 2620 2644 0.05 2661.90 2696 2718 2697 2674 2695 0.05 2668.012646 2669 2647 2621 2645 0.05 2640.00 2697 2719 2698 2675 2696 0.05 2673.942647 2670 2648 2622 2646 0.05 2640.00 2698 2720 2699 2676 2697 0.05 2680.002648 2671 2649 2623 2647 0.05 2644.70 2699 2721 2700 2677 2698 0.05 2680.002649 2672 2650 2624 2648 0.05 2651.96 2700 2722 2701 2678 2699 0.05 2680.432650 2673 2651 2625 2649 0.05 2658.14 2701 2723 2702 2679 2700 0.05 2680.002651 2674 2652 2626 2650 0.05 2657.27 2702 2724 2703 2680 2701 0.05 2680.002652 2675 2653 2627 2651 0.05 2659.24 2703 2725 2704 2681 2702 0.05 2680.002653 2676 2654 2628 2652 0.05 2662.93 2704 2726 2705 2682 2703 0.05 2679.072654 2677 2655 2629 2653 0.05 2663.79 2705 2727 2706 2683 2704 0.05 2673.112655 2678 2656 2630 2654 0.05 2664.14 2706 2728 2707 2684 2705 0.05 2671.792656 2679 2657 2631 2655 0.05 2665.06 2707 2729 2708 2685 2706 0.05 2660.142657 2680 2658 2632 2656 0.05 2660.00 2708 2730 2709 2686 2707 0.05 2655.142658 2681 2659 2633 2657 0.05 2660.00 2709 2731 2710 2687 2708 0.05 2643.222659 2682 2660 2634 2658 0.05 2660.00 2710 0 2711 2688 2709 0.05 2649.812660 2683 2661 2635 2659 0.05 2660.00 2711 0 2712 2689 2710 0.05 2655.752661 2684 2662 2636 2660 0.05 2651.70 2712 0 0 2690 271 1 0.05 2643.732662 2685 2663 2637 2661 0.05 2655.58 2713 2732 2714 2691 0 0.05 2684.042663 2686 2664 2638 2662 0.05 2649.25 2714 2733 2715 2692 2713 0.05 2660.002664 2687 2665 2639 2663 0.05 2640.00 2715 2734 2716 2693 2714 0.05 2660.002665 2688 2666 2640 2664 0.05 2638.35 2716 2735 2717 2694 2715 0.05 2667.852666 2689 2667 2641 2665 0.05 2621.13 2717 2736 2718 2695 2716 0.05 2670.642667 2690 0 2642 2666 0.05 2616.87 2718 2737 2719 2696 2717 0.05 2676.242668 0 2669 2645 0 0.05 2670.33 2719 2738 2720 2697 2718 0.05 2680.002669 2691 2670 2646 2668 0.05 2645.32 2720 2739 2721 2698 2719 0.05 2689.422670 2692 2671 2647 2669 0.05 2640.00 2721 2740 2722 2699 2720 0.05 2690.892671 2693 2672 2648 2670 0.05 2650.47 2722 2741 2723 2700 2721 0.05 2689.822672 2694 2673 2649 2671 0.05 2658.00 2723 2742 2724 2701 2722 0.05 2690.962673 2695 2674 2650 2672 0.05 2660.00 2724 2743 2725 2702 2723 0.05 2687.982674 2696 2675 2651 2673 0.05 2660.00 2725 2744 2726 2703 2724 0.05 2689.322675 2697 2676 2652 2674 0.05 2666.31 2726 2745 2727 2704 2725 0.05 2686.282676 2698 2677 2653 2675 0.05 2671.99 2727 2746 2728 2705 2726 0.05 2683.942677 2699 2678 2654 2676 0.05 2672.48 2728 2747 2729 2706 2727 0.05 2680.002678 2700 2679 2655 2677 0.05 2673.38 2729 2748 2730 2707 2728 0.05 2660.002679 2701 2680 2656 2678 0.05 2674.63 2730 2749 2731 2708 2729 0.05 2661.762680 2702 2681 2657 2679 0.05 2667.05 2731 0 0 2709 2730 0.05 2674.512681 2703 2682 2658 2680 0.05 2668.73 2732 2750 2733 2713 0 0.05 2674.432682 2704 2683 2659 2681 0.05 2664.71 2733 2751 2734 2714 2732 0.05 2660.002683 2705 2684 2660 2682 0.05 2660.00 2734 2752 2735 2715 2733 0.05 2668.552684 2706 2685 2661 2683 0.05 2660.49 2735 2753 2736 2716 2734 0.05 2680.002685 2707 2686 2662 2684 0.05 2660.00 2736 2754 2737 2717 2735 0.05 2681.102686 2708 2687 2663 2685 0.05 2657.07 2737 2755 2738 2718 2736 0.05 2687.492687 2709 2688 2664 2686 0.05 2643.16 2738 2756 2739 2719 2737 0.05 2690.412688 2710 2689 2665 2687 0.05 2633.12 2739 2757 2740 2720 2738 0.05 2700.002689 2711 2690 2666 2688 0.05 2620.00 2740 2758 2741 2721 2739 0.05 2700.00


181

2741 2759 2742 2722 2740 0,05 2699.282742 2760 2743 2723 2741 0.05 2700.002743 2761 2744 2724 2742 0.05 2700.002744 2762 2745 2725 2743 0.05 2700.002745 2763 2746 2726 2744 0.05 2698.812746 2764 2747 2727 2745 0.05 2690.252747 2765 2748 2728 2746 0.05 2680.002748 0 2749 2729 2747 0.05 2688.882749 0 0 2730 2748 0.05 2680.002750 0 2751 2732 0 0.05 2680.002751 0 2752 2733 2750 0.05 2678.372752 0 2753 2734 2751 0.05 2678.922753 2766 2754 2735 2752 0.05 2680.002754 2767 2755 2736 2753 0.05 2694.002755 2768 2756 2737 2754 0.05 2699.212756 2769 2757 2738 2755 0.05 2700.002757 2770 2758 2739 2756 0.05 2700.342758 2771 2759 2740 2757 0.05 2703.922759 2772 2760 2741 2758 0.05 2707.682760 2773 2761 2742 2759 0.05 2709.492761 2774 2762 2743 2760 0.05 2708.592762 2775 2763 2744 2761 0.05 2713.722763 2776 2764 2745 2762 0.05 2704.982764 2777 2765 2746 2763 0.05 2699.292765 0 0 2747 2764 0.05 2698.472766 0 2767 2753 0 0.05 2692.732767 2778 2768 2754 2766 0.05 2700.002768 2779 2769 2755 2767 0.05 2700.002769 2780 2770 2756 2768 0.05 2705.852770 2781 2771 2757 2769 0.05 2710.052771 2782 2772 2758 2770 0.05 2712.112772 2783 2773 2759 2771 0.05 2716.482773 2784 2774 2760 2772 0.05 2720.002774 2785 2775 2761 2773 0.05 2720.002775 2786 2776 2762 2774 0.05 2720.002776 2787 2777 2763 2775 0.05 2720.002777 2788 0 2764 2776 0.05 2700.002778 2789 2779 2767 0 0.05 2722.582779 2790 2780 2768 2778 0.05 2701.552780 2791 2781 2769 2779 0.05 2715.872781 2792 2782 2770 2780 0.05 2719.582782 2793 2783 2771 2781 0.05 2720.302783 2794 2784 2772 2782 0.05 2721 292784 2795 2785 2773 2783 0.05 2725.152785 2796 2786 2774 2784 0.05 2729.702786 2797 2787 2775 2785 0.05 2728.802787 2798 2788 2776 2786 0.05 2721.852788 2799 0 2777 2787 0.05 2715.582789 2801 2790 2778 0 0.05 2757.692790 2802 2791 2779 2789 0.05 2731 782791 2803 2792 2780 2790 0.05 2723.43

2792 2804 2793 2781 2791 0.05 2730.072793 2805 2794 2782 2792 0.05 2729.072794 2806 2795 2783 2793 0.05 2729.342795 2807 2796 2784 2794 0.05 2733.772796 2808 2797 2785 2795 0.05 2740.002797 2809 2798 2786 2796 0.05 2740.002798 2810 2799 2787 2797 0.05 2730.042799 2811 2800 2788 2798 0.05 2720.002800 2812 0 0 2799 0.05 2737.082801 0 2802 2789 0 0.05 2761.742802 0 2803 2790 2801 0.05 2749.312803 2813 2804 2791 2802 0.05 2752.192804 2814 2805 2792 2803 0.05 2750.412805 2815 2806 2793 2804 0.05 2739.452806 2816 2807 2794 2805 0.05 2737.582807 2817 2808 2795 2806 0.05 2740.002808 2818 2809 2796 2807 0.05 2740.722809 2819 2810 2797 2808 0.05 2740.002810 2820 2811 2798 2809 0.05 2739.642811 2821 2812 2799 2810 0.05 2723.792812 2822 0 2800 2811 0.05 2739.002813 0 2814 2803 0 0.05 2800.002814 2823 2815 2804 2813 0.05 2779.572815 2824 2816 2805 2814 0.05 2755.862816 2825 2817 2806 2815 0.05 2749.342817 2826 2818 2807 2816 0.05 2748.342818 2827 2819 2808 2817 0.05 2752.062819 2828 2820 2809 2818 0.05 2751.402820 2829 2821 2810 2819 0.05 2740.002821 2830 2822 2811 2820 0.05 2740.002822 2831 0 2812 2821 0.05 2744.692823 2833 2824 2814 0 0.05 2777.172824 2834 2825 2815 2823 0.05 2761.872825 2835 2826 2816 2824 0.05 2759.542826 2836 2827 2817 2825 0.05 2756.342827 2837 2828 2818 2826 0.05 2760.492828 2838 2829 2819 2827 0.05 2760.002829 2839 2830 2820 2828 0.05 2747.762830 0 2831 2821 2829 0.05 2753.322831 0 0 2822 2830 0.05 2777.932832 2840 2833 0 0 0.05 2798.272833 2841 2834 2823 2832 0.05 2780.562834 2842 2835 2824 2833 0.05 2767.822835 2843 2836 2825 2834 0.05 2760.692836 2844 2837 2826 2835 0.05 2765.082837 2845 2838 2827 2836 0.05 2773.022838 0 2839 2828 2837 0.05 2774.582839 0 0 2829 2838 0 05 2788.432840 0 2841 2832 0 0.05 2823.282841 2846 2842 2833 2840 0.05 2811 182842 2847 2843 2834 2841 0,05 2775.91


182

2843 2848 2844 2835 2842 0.05 2769.512844 2849 2845 2836 2843 0.05 2771.092845 2850 0 2837 2844 0.05 2778.192846 2851 2847 2841 0 0.05 2827.142847 2852 2848 2842 2846 0.05 2783.892848 2853 2849 2843 2847 0.05 2778.332849 2854 2850 2844 2848 0.05 2778.242850 2855 0 2845 2849 0.05 2786.272851 2857 2852 2846 0 0.05 2828.682852 2858 2853 2847 2851 0.05 2803 472853 2859 2854 2848 2852 0.05 2788.212854 2860 2855 2849 2853 0.05 2787.632855 2861 2856 2850 2854 0.05 2793.802856 2862 0 0 2855 0.05 2800.002857 0 2858 2851 0 0.05 2861.192858 2863 2859 2852 28572859 2864 2860 2853 28582860 2865 2861 2854 28592861 2866 2862 2855 28602862 2867 0 2856 28612863 2868 2864 2858 02864 2869 2865 2859 28632865 2870 2866 2860 28642866 2871 2867 2861 28652867 2872 0 2862 2866

0.05 2823.52 0.05 2803.89 0.05 2798.52 0.05 2800.39

0.05 2806.15 0.05 2837.71

0.05 2812.23 0.05 2805.86 0.05 2807.06

0.05 2812.672868 2873 2869 2863 0 0.05 2841.242869 2874 2870 2864 2868 0.05 2823.232870 2875 2871 2865 2869 0.05 2814.952871 2876 2872 2866 2870 0.05 2814.252872 2877 0 2867 2871 0.05 2817.732873 0 2874 2868 0 0.05 2865.612874 2879 2875 2869 2873 0.05 2843.262875 2880 2876 2870 2874 0.05 2825.882876 2881 2877 2871 2875 0.05 2822.722877 2882 2878 2872 2876 0.05 2825.692878 2883 0 0 2877 0.05 2845.262879 0 2880 2874 0 0.05 2872.82

2880 2884 2881 2875 28792881 2885 2882 2876 28802882 2886 2883 2877 28812883 2887 0 2878 28822884 2889 2885 2880 02885 2890 2886 2881 28842886 2891 2887 2882 28852887 2892 2888 2883 28862888 2893 0 0 28872889 0 2890 2884 0

0.05 2848.80 0.05 2834.27 0.05 2834.92

0.05 2849.48 0.05 2877.80

0.05 2840.21 0.05 2846.76 0.05 2855.88

0.05 2877.27 0.05 2900.00

2890 2895 2891 2885 2889 0.05 2858.332891 2896 2892 2886 2890 0.05 2860.002892 2897 2893 2887 2891 0.05 2860.002893 2898 2894 2888 2892 0.05 2866.582894 2899 0 0 2893 0.05 2880.002895 2900 2896 2890 0 0.05 2867.632896 2901 2897 2891 28952897 2902 2898 2892 28962898 2903 2899 2893 28972899 2904 0 2894 28982900 2907 2901 2895 02901 2908 2902 2896 29002902 2909 2903 2897 29012903 2910 2904 2898 29022904 0 0 2899 2903 0.05 2895.072905 0 2906 0 0 0.05 2900.002906 2911 2907 0 2905 0.05 2889.082907 2912 2908 2900 2906 0.05 2881.162908 2913 2909 2901 2907 0.05 2872.892909 2914 2910 2902 2908 0.05 2876.362910 2915 0 2903 2909 0.05 2887.112911 0 2912 2906 0 0.05 2898.892912 2916 2913 2907 2911 0.05 2889.532913 0 2914 2908 2912 0.05 2885.702914 0 2915 2909 2913 0.05 2893.882915 0 0 2910 2914 0.05 2900.002916 0 0 2912 0 0.05 2897.56

0.05 2860.00 0.05 2860.00 0.05 2878.29

0.05 2889.73 0.05 2872.94

0.05 2861.72 0.05 2866.15 0.05 2880.00


183

Table 23. FPINOUT.DAT input file for the FL0-2D UPRR3 alluvial fan model.

FPINOUT.DAT

1 78 2916

2916 4.250 838.4.333 1202.

0.00 0. 4.417 1823.1.000 0. 4.500 2732.1.083 0. 4.583 3819.1.167 3. 4.667 4853.1.250 16. 4.750 5520.1.333 51. 4.833 5685.1.417 115. 4.917 5404.1.500 212. 5.000 4815.1.583 330. 5.083 4127.1.667 438. 5.167 3447.1.750 500. 5.250 2826.1.833 499. 5.333 2295.1.917 443. 5.417 1863.2.000 360. 5.500 1553.2.083 277. 5.583 1377.2.167 213. 5.667 1320.2.250 178. 5.750 1328.2.333 172. 5.833 1354.2.417 188. 5.917 1373.2.500 227. 6.000 1370.2.583 290. 6.083 1326.2.667 373. 6.167 1231.2.750 458. 6.250 1089.2.833 523. 6.333 920.2.917 550. 6.417 755.3.000 532. 6.500 608.3.083 480. 6.583 487.3.167 416. 6.667 390.3.250 376. 6.750 313.3.333 387. 6.833 257.3.417 451. 6.917 218.3.500 536. 7.000 189.3.583 600. 7.250 120.3.667 625. 7.500 55.3.750 626. 7.750 19.3.833 630. 8.000 6.3.917 632. 84.000 622. 1 5 19 31 49 73 131 2044.083 617. 0 04.167 666.


APPENDIX II

FLO-2D MODEL OUTPUT FILES

This appendix contains, in parts 1, 2, and 3, FL0-2D model output summary

files produced by the alluvial fan flood simulations of the ÜPRR1, UPRR2, and

UPRR3 alluvial fans, respectively. Each part contains two tables. The first table

contains the alluvial fan drainage structure numbers with corresponding FL0-2D

grid elements. This information is needed to interpret the second table. The

second table is the output summary file from the OUTNQ post-processor program.

Most of the data are in free-format style.

184


185


Table 24. UPRR1 alluvial fan drainage structures with corresponding FL0-2D grid elements.

Structure Element Structure Element

1 2321 7 748

2 2140 8 552

3 2001 9 2727

4 1640 10 250

5 1457 11 2726

6 1209 12 64

Table 25. OUTNQ summary file for the FL0-2D ÜPRR1 alluvial fan model.

OUTNQ.OUT

Note: Outflow elements 2725, 21, 2709, and 2728 were not used in this study.

THE MAX Q AT OUTFLOW ELEMENT: 2725 IS 8.75 CFS AT TIME: 4.79THE MAX Q AT OUTFLOW ELEMENT: 21 S: 55.11 CFS AT TIME: 6.64THE MAX Q AT OUTFLOW ELEMENT: 64 S: 26.24 CFS AT TIME: 6.63THE MAX Q AT OUTFLOW ELEMENT: 2726 IS 330.14 CFS AT TIME: 4.43THE MAX Q AT OUTFLOW ELEMENT: 250 IS: 914.77 CFS AT TIME: 4.37THE MAX Q AT OUTFLOW ELEMENT: 2727 IS 1337.75 CFS AT TIME: 4.37THE MAX Q AT OUTFLOW ELEMENT: 552 IS: 1768.98 CFS AT TIME: 4.54THE MAX 0 AT OUTFLOW ELEMENT: 748 IS: 1311.85 CFS ATTIME: 4.40THE MAX 0 AT OUTFLOW ELEMENT: 1209 IS 1088.07 CFS AT TIME: 4.44THE MAX Q AT OUTFLOW ELEMENT: 1457 IS 652.13 CFS AT TIME: 4.38THE MAX Q AT OUTFLOW ELEMENT: 1640 IS 1023.33 CFS ATTIME: 4.36THE MAX Q AT OUTFLOW ELEMENT: 2001 IS 1015.20 CFS AT TIME: 4.59THE MAX Q AT OUTFLOW ELEMENT: 2140 IS 939.50 CFS ATTIME: 4.41THE MAX Q AT OUTFLOW ELEMENT: 2321 IS 690.56 CFS ATTIME: 4.46THE MAX Q AT OUTFLOW ELEMENT: 2709 IS 1805.82 CFS AT TIME: 4.90THE MAX Q AT OUTFLOW ELEMENT: 2728 IS 279.26 CFS AT TIME: 4.73


186

Part 2: UPRR2 Alluvial Fan Output

Table 26. UPRR2 alluvial fan drainage structures with corresponding FL0-2D grid elements.

Structure Element

19 1

20A 119

Table 27. OUTNQ summary file for the FL0-2D UPRR2 alluvial fan model.

OUTNQ.OUT

Note: Outflow element 536 was not used in this study.

THE MAX Q AT OUTFLOW ELEMENT THE MAX Q AT OUTFLOW ELEMENT THE MAX Q AT OUTFLOW ELEMENT

1 IS: 3115.26 CFS ATTIME: 4.94119 IS: 2924.13 CFS ATTIME: 4.91 536 IS: 839.67 CFS ATTIM E. 4.99


187

Part 2: UPRR3 Alluvial Fan Output

Table 28. UPRR3 alluvial fan drainage structures with corresponding FLO-2D grid elements.

Structure Element Structure Element

13A 5 16 49

13B 5 17 73

14 19 18 131

15 31 — —

Table 29. OUTNQ summary file for the FL0-2D UPRR3 alluvial fan model.

OUTNQ.OUT

Note; Outflow elements 1 and 204 were not used In this study.

THE MAX 0 THE MAX Q THE MAX 0 THE MAX Q THE MAX Q THE MAX Q THE MAX Q THE MAXQ

AT OUTFLOW AT OUTFLOW AT OUTFLOW AT OUTFLOW AT OUTFLOW AT OUTFLOW AT OUTFLOW AT OUTFLOW

ELEMENTELEMENTELEMENTELEMENTELEMENTELEMENTELEMENTELEMENT

1 IS: 1360.96 CFS AT TIME5 IS: 684.40 CFS AT TIME:19 IS: 459.28 CFS AT TIME31 IS: 271.79 CFS ATTIM E49 IS: 307.07 CFS AT TIME73 IS: 539.75 CFS AT TIME131 IS: 1006.08 CFS ATTIM E204 IS: 110.56 CFS AT TIME:

5.245.24 5.32 5.175.165.16

5.17 5.22


APPENDIX

DAMBRK MODEL INPUT FILES

This appendix contains, in parts 1, 2, and 3, DAMBRK model input files for

the the alluvial fan flood simulations of the UPRR1, UPRR2, and UPRR3 alluvial

fans, respectively. Each part consists of one table containing the input file. Most

of the data are in free-format style.

188


189


Table 30. DAMBRK input file for the UPRR1 alluvial fan model.

UPRR1 OPTION 8: MIXED FLOW

9 0 0 3 4 0 0 10. 6.7128. 13875. 7302. 2558.0. 2 4. 6.

16 6 6 1 0 44 10 13 14 15 16

3620.1 3623.4 3623.7 3626.7 3960.0 3960.31200. 1200. 1200. 1200. 1200. 1200.

0.233557.4 3560.7 3561.0 3564.0 3564.3 3564.72400. 2400. 2400. 2400. 2400. 2400.

0.493491.4 3498.0 3498.3 3498.7 3499.0 3501.35202. 5202. 5202. 5202. 5202. 5202.

0.803425.4 3428.7 3432.0 3432.3 3432.7 3435.36798. 6798. 6798. 6798. 16798. 6798.0.1.023359.4 3366.0 3366.3 3366.7 3367.0 3369.39600.n

9600. 9600. 9600. '9600. 9600.u .

1.333296.7 3297.0 3300. 3303.3 3303.6 3304.013002. 13002. 13002. 13002. 13002. 13002.

1.593230.7 3231.0 3234.0 3234.3 3237.3 3240.616002. 16002. 16002. 16002. 16002. 16002.1.883158.1 3161.4 3164.7 3168.0 3171.3 3174.618402. 18402. 18402. 18402. 18402. 18402.

2.163092.1 3098.7 3102.0 3102.3 3102.7 3103.021600. 21600. 21600. 21600. 21600. 21600.


190

2.463029.4 25398. 0 .

2.772963.4 28998. 0 .

3.112897.4 28998. 0 .

3.492828.136402.0 .

3.832768.740398.0 .

4.022736.5 42200. 0 .

4.242703.5 44200. 0 .

0.060.060.060.060.060.060.060.060.060.060.060.060.060.060.060.0040.040

3029.7 3032.7 3033.0 3036.0 3036.3 25398. 25398. 25398. 25398. 25398.

2963.7 2964.1 2964.4 2964.7 2965.1 28998. 28998. 28998. 28998. 28998

2897.7 2898.1 2900.7 2907.3 2910.6 28998. 28998. 28998. 28998. 28998.

2834.7 2838.0 2838.3 2841.3 2844.6 36402. 36402. 36402. 36402. 36402.

2772.0 2772.3 2772.7 2773.0 2773.3 40398. 40398. 40398. 40398. 40398.

2737.4 2738.2 2739.0 2740.6 2741.3 42200. 42200. 42200. 42200. 42200.

2704.4 2705.2 2706.0 2706.8 2707.7 44200. 44200. 44200. 44200. 44200.

0.060.060.060.060.060.060.060.060.060.060.060.060.060.060.060.0250.025

0.060.060.060.060.060.060.060.060.060.060.060.060.060.060.06

0.0250.025

0.060.060.060.060.060.060.060.060.060.060.060.060.060.060.06

0.030.025

0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06

0.025 0.025

0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06 0.06

0.025 0.025

0.030.025

0.04


191


Table 31. DAMBRK Input file for the UPRR2 alluvial fan model.

UPRR2 OPTIONS: MIXED FLOW

9 0 0 3 4 0 0 0 0 . 6 .

328. 585. 6920. 1573.0. 2. 4. 6.

9 6 6 1 0 43 5 6 7 8 9

0 .

3257.1 3258.8 3260.4 3262.1 3263 7 3265.4402. 402. 402. 402. 402. 402.0 .

0.273194.4 3197.7 3198.0 3201.0 3201.3 3217.5798. 798. 798. 798. 798. 798.0 .

0.453128.4 3128.7 3131.7 3132.0 3135.0 3135.32598. 2598. 2598. 2598. 2598. 2598.0 .

0.723098.7 3099.0 3102.0 3102.3 3102.7 3103.04998. 4998. 4998. 4998. 4998. 4998.0 .

0.982999.7 3003.0 3003.3 3006.3 3006.6 3009.66402. 6402. 6402. 6402. 6402. 6402.0 .

1,272930.4 2930.7 2931.1 2933.7 2937.0 2937.37800. 7800. 7800. 7800. 7800. 7800.0,1.5528644 2867.7 2868.0 2868.4 2871.0 2871.38400. 8400. 8400. 8400. 8400. 8400.0 .

1.852802.5 2803.4 2804.2 2805.0 2805.8 2806.77400. 7400. 7400. 7400. 7400. 7400.0 .

2.012769.5 2770.4 2771.2 2772.0 2772.8 2773.77200. 7200. 7200. 7200. 7200. 7200.0 .


192

0.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.05 0.05 0.05 0.05 0.05 0.050.005 0.025 0.025 0.011 0.017 0 0.014 0.014


193


Table 32. DAMBRK Input file for the UPRR3 alluvial fan model.

UPRR3 OPTION 8: MIXED FLOW

9 0 0 3 4 0 00. 6.532. 5685. 189. 0.0. 2 4. 6.

13 6 6 1 0 14 7 9 11 12 13

0.2850.0 2850.1 2860. 2870. 2880. 2890.1200. 1200. 1200. 1200. 1200. 1200.0.0.272798. 2800. 2810. 2815. 2820. 2860.1302. 1302. 1302. 1302. 1302. 1302.0.0.492760.0 2760.1 2770.0 2770.1 2775 2810.1800. 1800. 1800. 1800. 1800. 1800.0.0.802680.0 2680.1 2682. 2684. 2685. 2690.3702. 3702. 3702. 3702. 3702. 3702.0.1.062618. 2620. 2625.0 2625.1 2625.2 2650.5202. 5202. 5202. 5202. 5202. 5202.0.1.312558. 2560. 2562.0 2562.1 2564. 2570.8202. 8202. 8202. 8202. 8202. 8202.0.1.552500, 2505.0 2505.1 2505.2 2505.3 2505.49702. 9702. 9702. 9702. 9702. 9702.0.1.822438. 2440.0 2440.1 2440.2 2440.3 2443.11202. 11202. 11202. 11202 . 11202. 11202.0.2.082378. 2380.0 2380.1 2380.2 2381.0 2381.111202. 11202. 11202. 11202 . 11202. 11202


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APPENDIX IV

DAMBRK MODEL OUTPUT FILES

The DAMBRK model output lists discharges for each selected and

automatically interpolated cross-section. However, in some cases, drainage

structures were not located exactly on one of these cross-sections. In these cases,

the location of each drainage structure downstream of the alluvial fan apex was

interpolated. This was done by measuring the alluvial fan contour width at the

specific drainage structure, and comparing this to contour widths of the selected

cross-sections initially input into each model. One selected cross-section was

chosen having a slightly greater width and one selected cross-section was chosen

having a slightly lesser width. Knowing that the selected cross-sections are defined

by the length downstream of the alluvial fan apex, the length downstream of the

alluvial fan apex to the specific drainage structure can be interpolated. This

interpolated length is then compared with the model output that lists downstream

distances for all cross-sections with corresponding maximum discharges. The

interpolated length downstream of the alluvial fan apex for the specific drainage

structure is assumed to best-fit one of the listed downstream distances of the output

file. The corresponding maximum discharge of this chosen downstream distance

195


196

is thus assumed to be the maximum discharge for the contour width at the specific

drainage structure.

However, the DAMBRK models produce maximum discharges for the entire

width of the cross-sections, assuming that the cross-sections represent true

channels. The railroad alignments act as flow obstructions, with only a few finite

width drainage structures with adjacent upstream berms allowing the flow to pass

through the railroad alignments. The model output needs to be translated from

simulating an entire channel width, to simulating the railroad alignment with finite

drainage structures. At each drainage structure, the width between peaks of

adjacent upstream berms was divided by the entire contour width of the fan at that

location to calculate the percentage of the alluvial fan contour width that allows flow

to pass through the railroad alignment. The total discharge listed in the model

output for that cross-section location on the alluvial fan was then multiplied by this

percentage to calculate the volume of flow that would be concentrated by the

upstream berms into the drainage structure.

This appendix contains, in parts 1, 2, and 3, DAMBRK summary output files

produced by the alluvial fan flood simulations for the UPRR1, UPRR2, and UPRR3

alluvial fans, respectively. Each part contains three tables. The first table contains

data on downstream lengths to cross-sections used to locate drainage structures.

This information is needed to interpret the second table. The second table contains

the DAMBRK summary output file. The third table contains calculation values used


197

to determine the volume of flow at each drainage structure. Most of the data are in

free-format style.


198


Table 33. Downstream lengths to cross-sections used to locate drainage structures inDAMBRK output file for UPRR1 alluvial fan model.

Structure

InterpolatedDownstream

Length(mi)

DAMBRKDownstream

Length(mi)

Structure


Length(mi)

DAMBRKDownstream

Length(mi)

1 4.06 4.048 7 3.71 3.699

2 4.06 4.048 8 3.76 3.752

3 4.00 3.993 9 3.63 3.621

4 3.76 3.752 10 3.58 3.568

5 3.80 3.804 11 3.58 3.568

6 3.71 3.699 12 3.63 3.621


Table 34. DAMBRK summary output file for ttie UPRR1 alluvial fan model.

SUMMARY OF OUTPUT DATA

P R O F I L E OF CRESTS AND T I ME S FORBELOW UP RRl APEX

199

DI ST ANCEDAM MAX ELEV MAX FLOW T I M E MAX MAX VE L FLOOD EL EV T I M E FLOOD

LE FEET CFS EL EV- HRS FPS FE ET E L EV- HRS# * * * * * * • ♦ • * • » • » • » • • •

. 0 0 0 3 6 2 1 . 6 4 1 3 8 7 4 2 . 0 0 0 10 . 66 . 0 0 . 00

. 0 0 4 3 6 2 0 . 5 1 1 3 8 7 3 2 . 00 0 1 0 . 6 5 . 0 0 . 00

. 008 3 6 1 9 . 4 0 1 3 8 7 1 2 . 000 10 . 5 0 . 0 0 . 00

. 012 3 6 1 8 . 2 8 1 3 8 7 0 2 . 00 0 10 . 50 . 0 0 . 00

. 016 3 6 1 7 . 1 7 1 3 8 6 8 2 . 0 0 0 10 . 34 . 0 0 . 00

. 0 20 3 6 1 6 . 05 1 3 8 6 6 2 . 0 0 0 10 . 36 . oo . 00

. 024 3 6 1 4 . 9 4 1 3 8 6 5 2 . 000 10 . 1 9 . 00 . 00

. 0 28 3 6 1 3 . 8 3 1 3 8 6 3 2 . 000 10 . 23 . 00 . 00

. 0 3 2 3 6 1 2 . 7 1 1 3 8 6 1 2 . 000 10 . 04 . 0 0 . 00

. 0 3 6 3 6 1 1 . 6 0 1 3 8 6 0 2 . 0 0 0 10 . 1 0 . 00 . 00

. 040 3 6 1 0 . 4 9 1 3 8 5 8 2 . 0 0 0 9 . 8 9 . 0 0 . 00

. 044 3 6 0 9 . 3 8 1 3 8 5 6 2 . 0 0 0 9 . 98 . 00 . 00

. 0 48 3 6 0 8 . 27 1 3 8 5 5 2 . 000 9 . 76 . 00 . 00

. 052 3 6 0 7 . 1 5 1 3 8 5 3 2 . 000 9 . 86 . oo . 00

. 056 3 6 0 6 . 0 4 1 3 8 5 1 2 . 00 0 9 . 6 2 . 00 . 00

. 061 3 6 0 4 . 9 3 1 3 8 5 0 2 . 000 9 . 7 5 . 0 0 . 00

. 065 3 6 0 3 . 82 1 3 8 4 8 2 . 0 0 0 9 . 4 9 . 00 . 00

. 069 3 6 0 2 . 7 1 1 3 8 4 6 2 . 0 0 0 9 . 6 5 . 00 . 00

. 073 3 6 0 1 . 6 0 1 3 8 4 4 2 . 0 0 0 9 . 36 . 00 . 00

. 0 77 3 6 0 0 . 4 9 1 3 8 4 3 2 . 0 0 0 9 . 55 . 00 . 00

. 081 3 5 9 9 , 3 8 1 3 8 4 1 2 . 000 9 . 2 3 . 00 . 00

. 085 3 5 9 8 . 2 7 1 3 8 3 9 2 . 0 0 0 9 . 4 7 . 00 . 00

. 0 8 9 3 5 9 7 . 1 6 1 3 8 3 7 2 . 0 0 0 9 . 1 0 . 00 . 00

. 0 9 3 3 5 9 6 . 05 1 3 8 3 5 2 . 0 0 0 9 . 4 0 . 0 0 . 00

. 0 9 7 3 5 9 4 . 94 1 3 8 3 3 2 . 0 0 0 8 . 96 . 00 . 00

. 101 3 5 9 3 . 83 1 3 8 3 2 2 . 0 0 0 9 . 33 . 00 . 0 0

. 105 3 5 9 2 . 7 2 1 3 8 3 0 2 . 000 8 . 83 . 00 . 00

. 109 3 5 9 1 . 6 1 1 3 8 2 6 2 . 000 9 . 2 7 . 00 . 00

. 1 1 3 3 5 9 0 . 5 0 1 3 8 2 6 2 . 000 8 . 70 . 00 . 00

. 1 1 7 3 5 8 9 . 4 0 1 3 6 2 4 2 . 0 0 0 9 . 2 2 . 00 . 00

. 121 3 5 8 8 . 2 9 1 3 8 2 2 2 . 0 0 0 8 . 56 . oo . 00

. 125 3 5 8 7 . 1 8 1 3 8 2 0 2 . 0 0 0 9 . 19 . 00 . 00

. 129 3 5 8 6 . 0 7 1 3 8 1 9 2 . 000 8 . 4 1 . 00 . 00

. 133 3 5 6 4 . 9 6 1 3 8 1 7 2 . 0 0 0 9 . 1 7 . 00 . 00

. 137 3 5 8 3 . 8 6 1 3 8 1 5 2 . 0 0 0 8 . 26 . 00 . 00

. 141 3 5 8 2 . 7 5 1 3 8 1 3 2 . 0 0 0 9 . 17 . 00 . 00

. 145 3 5 8 1 . 6 4 1 3 8 1 1 2 . 0 0 0 8 . 10 . 00 . 0 0

. 149 3 5 8 0 . 5 3 1 3 8 0 9 2 . 000 9 . 19 . oo . 00

. 153 3 5 7 9 . 4 3 1 3 8 0 7 2 . 000 7 . 92 . 00 . 00

. 157 3 5 7 8 . 3 2 1 3 8 0 5 2 .COO 9 . 24 . 00 . 00

. 161 3 5 7 7 . 2 1 1 3 8 0 3 2 . 0 0 0 T . 74 . 00 . 00

. 165 3 576 . 11 1 3 8 0 1 2 . 0 0 0 9 . 32 . 00 . 00

. 169 3 5 7 5 . 0 0 1 3 7 9 9 2 . 000 6 . 03 . 00 . 00


PROFILE OF CRESTS AND TIMES FORBELOW UPRRl APEX

200

DISTANCEFROM DAM MAX ELEV MAX FLOW T I ME MAX MAX VEL FLOOD ELEV T I M E FLOOD

M I L E FEET CFS EL EV- HRS FPS FEET# # # # # # * # * *

EL EV- HRS

. 174 3 5 7 3 . 8 9 1 3 7 9 7 2 . 0 0 0 6 . 00 . 0 0 . 00

. 178 3 5 7 2 . 7 9 1 3 7 9 5 2 . 000 5 . 98 . 0 0 . 00

. 182 3 5 7 1 . 6 8 1 3 7 9 3 2 . 000 5 . 95 . 0 0 . 00

. 186 3 5 7 0 . 5 7 1 3 7 9 1 2 . 000 5 . 9 3 . 0 0 . 00

. 190 3 5 6 9 . 4 7 1 3 7 8 9 2 . 000 5 . 90 . 0 0 . 00

. 194 3 5 6 8 . 3 6 1 3 7 8 7 2 . 0 00 5 . 88 . 0 0 . 00

. 198 3 5 6 7 . 2 5 1 3 7 8 5 2 . 0 0 0 5 . 86 . 00 . oo

. 2 0 2 3 5 6 6 . 1 5 1 3 7 8 3 2 . 0 0 0 5 . 83 . 00 . 00

. 2 0 6 3 5 6 5 . 0 4 1 3 7 8 1 2 . 0 0 0 5 . 81 . 00 . 00

. 2 1 0 3 5 6 3 . 94 1 3 7 7 9 2 . 0 0 0 5 . 7 9 . 0 0 . 00

. 2 1 4 3 5 6 2 . 8 3 1 3 7 7 6 2 . 0 0 0 5 . 7 7 . 00 . 00

. 2 1 8 3 5 6 1 . 7 3 1 3 7 7 4 2 . 0 0 0 5 . 7 5 . 0 0 . 00

. 2 2 2 3 5 6 0 . 6 2 1 3 7 7 2 2 . 0 0 0 5 . 73 . 0 0 . 00

. 2 2 6 3 5 5 9 . 5 9 1 3 7 7 2 2 . 000 5 . 31 . 0 0 . 0 0

. 2 3 0 3 5 5 8 . 3 4 1 3 7 7 0 2 . 000 6 . 11 . 0 0 . 0 0

. 2 5 6 3 5 5 1 . 84 1 3 7 5 6 2 . 000 4 . 92 . 0 0 . 00

. 2 8 2 3 5 4 5 . 0 3 1 3 7 4 1 2 . 0 00 5 . 5 7 . 0 0 . 0 0

. 3 0 8 3 5 3 8 . 5 3 1 3 7 2 6 2 . 0 00 4 . 57 . 0 0 . 00

. 3 3 4 3 5 3 1 . 7 5 1 3 7 1 0 2 . 0 0 0 5 . 17 . 00 . 00

. 36 0 3 5 2 5 . 24 1 3 6 9 3 2 . 0 0 0 4 . 29 . 00 . 00

. 3 8 6 3 5 1 8 . 4 9 1 3 6 7 6 2 . 0 0 0 4 . 85 . 00 . 00

. 4 1 2 3 5 1 1 . 9 7 1 3 6 5 9 2 . 1 0 0 4 . 06 . 0 0 . 00

. 4 3 8 3 5 0 5 . 2 4 1 3 6 4 5 2 . 0 0 0 4 . 60 . 0 0 . 00

. 4 6 4 3 4 9 8 . 72 1 3 6 4 4 2 . 1 0 0 3 . 87 . 00 . 0 0

. 4 9 0 3 4 9 2 . 00 1 3 6 4 2 2 . 1 0 0 4 . 39 . 0 0 . 00

. 5 1 6 3 4 8 6 . 6 5 1 3 6 3 9 2 . 1 0 0 3 . 39 . 0 0 . 00

. 542 3 4 8 0 . 97 1 3 6 3 5 2 . 1 0 0 4 . 34 . 0 0 . 00

. 56 7 3 4 7 5 . 6 4 1 3 6 3 0 2 . 1 0 0 3 . 30 . 0 0 . 0 0

. 593 3 4 6 9 . 9 5 1 3 6 2 4 2 . 1 0 0 4 . 3 0 . 0 0 . 00

. 6 1 9 3 4 6 4 . 62 1 3 6 1 7 2 . 1 0 0 3 . 21 . 0 0 . 00

. 6 4 5 3 4 5 8 . 93 1 3 6 1 0 2 . 1 0 0 4 . 26 . 00 . 00

. 6 7 1 3 4 5 3 . 6 1 1 3 6 0 1 2 . 1 0 0 3 . 13 . 00 . 00

. 69 7 3 4 4 7 . 9 1 1 3 5 9 1 2 . 1 0 0 4 . 23 . 00 . 00

3 4 4 2 . 6 0 1 3 5 8 1 2 . 1 0 0 3 . 05 . 00 . 00

. 7 4 8 3 4 3 6 . 8 9 1 3 5 6 9 2 . 1 0 0 4 . 20 . 0 0 . 00

. 774 3 4 3 1 . 5 8 1 3 5 5 7 2 . 1 0 0 2 . 97 . 0 0 . 0 0

. 8 0 0 3 4 2 5 . 88 1 3 5 4 4 2 . 1 0 0 4 . 19 . 0 0 . 00

. 8 3 1 3 4 1 6 . 52 1 3 5 2 9 2 . 1 0 0 3 . 45 . 0 0 . 00

. 863 3 4 0 6 . 99 1 3 5 2 4 2 . 1 0 0 3 . 99 . 0 0 . 00

. 894 3 3 9 7 . 63 1 3 5 2 3 2 . 2 0 0 3 . 3 1 . 00 . 00

. 926 3 3 8 6 . 1 1 1 3 5 2 0 2 . 2 0 0 3 . 82 . 00 . 0 0

. 957 3 3 7 8 . 7 4 1 3 5 1 6 2 . 2 0 0 3 . 19 . 0 0 . 00

.989 3 3 6 9 . 2 3 1 3 5 1 0 2 . 2 0 0 3 . 68 . 0 0 . 00

1 . 020 3 3 5 9 . 8 6 1 3 5 03 2 . 2 0 0 3 . 09 . 0 0 . 0 0

1 . 046 3 3 5 4 . 66 1 3 4 9 6 2 . 200 2 . 80 .00 .001 . 072 3 3 4 9 . 3 9 1 3 4 8 7 2 . 2 0 0 3 . 02 . 00 .001 . 09 7 3 3 4 4 . 2 0 1 3 4 7 7 2 . 2 0 0 2 . 73 .00 .001 . 123 3 3 3 8 . 9 2 1 3 4 6 7 2 . 2 0 0 2 . 96 .00 .001 . 149 3 3 3 3 . 7 3 1 3 4 5 5 2 . 2 0 0 2 . 67 . 00 .001 . 175 3 3 2 8 . 4 6 1 3 4 4 3 2 . 2 0 0 2 . 91 .00 . 001 . 2 0 1 3 3 2 3 . 2 7 1 3 4 3 4 2 . 2 0 0 2 . 60 .00 . 001 . 227 3 3 1 8 . 0 0 1 3 4 3 3 2 . 3 0 0 2 . 86 .00 . 001 . 2 5 2 3 3 1 2 . 61 1 34 3 1 2 . 3 0 0 2 . 54 .00 .001 . 2 7 8 3 3 0 7 . 53 1 3 4 2 6 2 . 3 0 0 2 . 82 .00 .001 . 304 3 3 0 2 . 3 5 1 3 4 2 3 2 . 3 0 0 2 . 49 .00 .001 . 3 3 0 3 2 9 7 . 0 7 1 3 4 1 7 2 . 3 0 0 2 . 78 .00 . 00


PROFILE OF CRESTS AND TIMES FORBELOW UPRRl APEX

201

lOM DAM MAX ELEV MAX FLOW T I M E MAX MAX VE L FLOOD ELEV T I M E FLOODM I L E FEET CFS EL EV- HRS FPS FEET EL EV- HRS

1 . 3 5 6 3 2 9 0 . 4 6 1 3 4 1 1 2 . 3 0 0 2 . 7 9

* * * • • • * » * »

. 00

• * » • • • « • « •

. 001 . 3 8 2 3 2 8 3 . 86 1 3 4 0 4 2 . 3 0 0 2 . 7 3 . 00 . 001 . 4 0 8 3 2 7 7 . 2 5 1 3 3 9 5 2 . 3 0 0 2 . 74 . 00 . 001 . 4 3 4 3 2 7 0 . 6 5 1 3 3 8 5 2 . 3 0 0 2 . 6 8 . 00 . 001 . 4 6 0 3 2 6 4 . 04 1 3 3 7 4 2 . 3 0 0 2 . 6 9 . 00 . 001 . 4 8 6 3 2 5 7 . 4 4 1 3 3 6 2 2 . 3 0 0 2 . 63 . 00 . 001 . 5 1 2 3 2 5 0 . 83 1 3 3 5 9 2 . 3 0 0 2 . 6 5 . 00 . 001 . 538 3 7 4 4 . 2 3 1 3 3 5 8 2 . 4 0 0 2 . 5 9 . 00 . 001 . 564 3 2 3 7 . 63 1 3 3 5 5 2 . 4 0 0 2 . 6 1 . 00 . GO1 . 590 3 2 3 1 . 0 3 1 3 3 5 1 2 . 4 0 0 2 . 55 . 00 . 001 . 6 2 2 3 2 2 2 . 96 1 3 3 4 5 2 . 4 0 0 2 . 55 . 00 . 001 . 6 5 4 3 2 1 4 . 8 9 1 3 3 3 7 2 . 4 0 0 2 . 5 2 . 00 . 0 01 . 6 8 7 3 2 0 6 . 8 2 1 3 3 2 8 2 . 4 0 0 2 . 5 1 . 00 . 001 . 7 1 9 3 1 9 8 . 7 5 1 3 3 1 6 2 . 4 0 0 2 . 4 8 . 00 . 001 . 75 1 3 1 9 0 . 6 8 1 3 3 0 3 2 . 4 0 0 2 . 4 8 . 00 . 0 01 . 783 3 1 8 2 . 6 1 1 3 2 9 2 2 . 5 0 0 2 . 4 5 . 0 0 . 001 . 816 3 1 7 4 . 5 4 1 3 2 9 0 2 . 5 0 0 2 . 45 . 0 0 . 001 . 848 3 1 6 6 . 4 7 1 3 2 8 7 2 . 50 0 2 . 4 2 . 0 0 . 001 . 880 3 1 5 8 . 4 0 1 3 2 8 2 2 . 5 0 0 2 . 42 . 0 0 . 001 . 9 2 0 3 1 4 8 . 9 8 1 3 2 7 3 2 . 5 0 0 2 . 3 0 . 00 . 001 . 96 0 3 1 3 9 . 53 1 3 2 6 2 2 . 5 0 0 2 . 3 7 . 00 . 002 . 00 0 3 1 3 0 . 1 1 1 3 2 4 8 2 . 5 0 0 2 . 2 5 . 00 . 002 . 04 0 3 1 2 0 . 6 7 1 3 2 3 5 2 . 5 0 0 2 . 3 3 . 00 . 002 . 080 3 1 1 1 . 2 5 1 3 2 3 3 2 . 6 0 0 2 . 2 1 . 00 . 002 . 1 2 0 3 1 0 1 . 80 1 3 2 2 7 2 . 6 0 0 2 . 2 9 . 00 . 002 . 1 6 0 3 0 9 2 . 3 8 1 3 2 1 9 2 . 6 0 0 2 . 1 7 . 00 . 002 . 2 0 3 3 0 8 3 . 43 1 3 2 0 9 2 . 6 0 0 2 . 09 . 00 . 002 . 2 4 6 3 0 7 4 . 4 6 1 3 1 9 5 2 . 6 0 0 2 . 13 . 00 . 002 . 28 9 3 0 6 5 . 5 1 1 3 1 8 3 2 . 7 0 0 2 . 05 . 00 . 002 . 33 1 3 0 5 6 . 54 1 3 1 7 9 2 . 7 0 0 2 . 09 . 0 0 . 002 . 374 3 0 4 7 . 5 8 1 3 1 7 2 2 . 7 0 0 2 . 0 1 . 0 0 . 002 . 4 1 7 3 0 3 8 . 6 2 1 3 1 6 2 2 . 7 0 0 2 . 0 5 . 00 . 002 . 4 6 0 3 0 2 9 . 6 6 1 3 1 4 8 2 . 7 0 0 1 . 9 7 . 00 . 002 . 4 8 6 3 0 2 4 . 1 5 1 3 1 3 8 2 . 7 0 0 2 . 0 5 . 00 . 002 . 512 3 0 1 8 . 6 6 1 3 1 3 2 2 . 7 0 0 1 . 9 5 . 00 . 002 . 538 3 0 1 3 . 1 5 1 3 1 3 0 2 . 8 0 0 2 . 03 . 00 . 002 . 563 3 0 0 7 . 66 1 3 1 2 7 2 . 8 0 0 1 . 9 3 . 00 . 002 . 58 9 3 0 0 2 . 1 4 1 3 1 2 2 2 . BOO 2 . 01 . 00 . 002 . 6 1 5 2 9 9 6 . 6 5 1 3 1 1 7 2 . BOO 1 . 9 1 . 00 . 002 . 64 1 2 9 9 1 . 14 1 3 1 1 1 2 . 8 0 0 2 . 00 . 00 . 002 . 66 7 2 9 8 5 . 6 5 1 3 1 0 4 2 . BOO 1 . 8 9 . 00 . 002 . 693 2 9 8 0 . 14 1 3 0 9 4 2 . BOO 1 . 9 8 . 00 . 002 . 71 8 2 9 7 4 . 6 5 1 3 0 8 3 2 . 80 0 1 . 87 . 00 . 002 . 744 2 9 6 9 . 13 1 3 0 8 3 2 . 8 0 0 1 . 97 . 00 . 0 02 . 770 2 9 6 3 . 6 4 1 3 0 8 1 2 . 9 0 0 1 . 8 5 . 00 . 002 . 796 2 9 5 8 . 5 7 1 3 0 7 8 2 . 9 0 0 1 . 8 5 . 00 . 002 . 822 2 9 5 3 . 4 9 1 3 0 7 4 2 . 5 00 1 . 8 5 . 00 . 002 . 848 2 9 4 8 . 41 1 3 0 6 8 2 . 9 0 0 1 . 8 5 . 00 . 002 . 875 2 9 4 3 . 34 1 3 0 6 0 2 . 9 00 1 . 8 5 . 00 . 002 . 901 2 9 3 8 . 2 6 1 3 0 5 1 2 . 9 00 1 . 8 5 . 00 . 002 . 92 7 2 9 3 3 . 1 8 1 3 0 4 0 2 . 9 0 0 1 . 8 5 . 00 . 002 . 953 2 9 2 8 . 10 1 3 0 3 9 2 . 9 0 0 1 . 85 . 00 . 002 . 979 2 9 2 3 . 03 1 3 0 3 7 3 . 0 0 0 1 . 8 5 . 00 . 0 03 . 0 0 5 2 9 1 7 . 9 5 1 3 0 3 4 3 . 0 0 0 1 . 8 5 . 00 . 003 . 032 2 9 1 2 . 87 1 3 0 2 9 3 . 0 00 1 . 8 5 . 00 . 003 . 056 2 9 0 7 . 8 0 1 3 0 2 2 3 . 0 0 0 1 . 85 . 00 . 003 . 084 2 9 0 2 . 72 1 3 0 1 4 3 . 0 0 0 1 . 85 . 00 . 0 0


202

PROFILE OF CRESTS AI;DBELOW

r i M E S FORUP RRl APEX

DISTANCEFROM DAM MAX EL EV MAX FLOW T I M E MAX MAX VE L FLOOD ELEV T I M E FLOOD

M I L E FEET CFS EL EV- HRS FPS FEET EL EV- HRS

3 . 110 2 8 9 7 . 6 4 1 3 0 0 5 3 . 00 0 1 . 85 . 00 . 003 . 135 2 8 9 3 . 0 3 1 2 9 9 8 3 . 1 0 0 1 . 77 . 00 . 003 . 161 2 8 8 6 . 4 0 1 2 9 9 6 3 . 1 0 0 1 . 82 . 00 . 003 . 186 2 8 8 3 . 78 1 2 9 9 3 3 . 1 0 0 1 . 7 4 . 00 . 003 . 2 1 1 2 8 7 9 . 1 5 1 2 9 8 9 3 . 1 0 0 1 . 80 . 0 0 . 0 03 . 2 3 7 2 8 7 4 . 5 4 1 2 9 8 4 3 . 1 0 0 1 . 7 2 . 00 . 003 . 2 62 2 8 6 9 . 9 1 1 2 9 7 8 3 . 1 0 0 1 . 7 8 . 0 0 . 0 03 . 2 8 7 2 8 6 5 . 30 1 2 9 7 1 3 . 1 0 0 1 . 6 9 . 00 . 0 03 . 3 1 3 2 8 6 0 . 6 6 1 2 9 6 2 3 . 1 0 0 1 . 7 6 . 00 . 003 . 338 2 8 5 6 . 0 5 1 2 9 5 7 3 . 1 0 0 1 . 6 7 . 00 . 003 . 363 2 8 5 1 . 4 2 1 2 9 5 5 3 . 2 0 0 1 . 74 . 00 . 003 . 3 8 9 2 8 4 6 . 8 1 1 2 9 5 2 3 . 2 0 0 1 . 6 5 . 00 . 003 . 4 1 4 2 8 4 2 . 1 8 1 2 9 4 6 3 . 2 0 0 1 . 72 . 00 . 003 . 43 9 2 8 3 7 . 5 6 1 2 9 3 9 3 . 2 0 0 1 . 6 3 . 00 . 003 . 4 6 5 2 8 3 2 . 9 3 1 2 9 3 1 3 . 2 0 0 1 . 7 1 . 0 0 . 003 . 4 9 0 2 8 2 8 . 3 2 1 2 9 2 1 3 . 2 0 0 1 . 6 1 . 00 . 0 03 . 5 1 6 2 8 2 3 . 7 4 1 2 9 1 7 3 . 2 0 0 1 . 6 5 . 00 . 0 03 . 542 2 8 1 9 . 1 8 1 2 9 1 5 3 . 3 0 0 1 . 6 0 . 00 . 003 . 568 2 8 1 4 . 6 0 1 2 9 1 1 3 . 3 0 0 1 . 6 4 . 00 . 0 03 . 595 2 8 1 0 . 0 4 1 2 9 0 6 3 . 3 0 0 1 . 5 8 . 00 . 0 03 . 62 1 2 8 0 5 . 4 6 1 2 9 0 0 3 . 3 0 0 1 . 6 3 . 00 . 0 03 . 64 7 2 8 0 0 . 9 0 1 2 8 9 3 3 . 3 0 0 1 . 57 . 00 . 0 03 . 673 2 7 9 6 . 3 2 1 2 8 8 4 3 . 3 0 0 1 . 6 2 . 00 . 003 . 6 9 9 2 7 9 1 . 7 6 1 2 8 8 0 3 . 3 0 0 1 . 56 . 0 0 . 0 03 . 72 5 2 7 8 7 . 1 8 1 2 8 7 8 3 . 4 0 0 1 . 6 1 . 0 0 . 0 03 . 752 2 7 8 2 . 6 2 1 2 8 7 3 3 . 4 0 0 1 . 5 5 . 00 . 003 . 7 7 6 2 7 7 8 . 0 4 1 2 8 6 7 3 . 4 0 0 1 . 6 0 . 00 . 0 03 . 804 27 7 3 . 4 8 1 2 8 6 0 3 . 4 0 0 1 . 5 3 . 00 . 0 03 . 83 0 2 7 6 8 . 9 0 1 2 8 5 1 3 . 4 0 0 1 . 5 9 . 00 . 003 . 85 7 2 7 6 4 . 3 1 1 2 8 4 3 3 . 4 0 0 1 . 5 0 . 00 . 003 . 884 2 7 5 9 . 7 0 1 2 8 4 3 3 . 4 0 0 1 . 59 . 00 . 003 . 91 1 2 7 5 5 . 1 1 1 2 8 4 0 3 . 5 0 0 1 . 4 9 . 00 . 003 . 939 2 7 5 0 . 5 0 1 2 8 3 5 3 . 5 0 0 1 . 5 8 . 00 . 003 . 966 2 7 4 5 . 9 1 1 2 8 2 9 3 . 5 0 0 1 . 4 7 . 0 0 . 003 . 993 2 7 4 1 . 2 9 1 2 8 2 1 3 . 5 0 0 1 . 58 . 0 0 . 004 . 02 0 2 7 3 6 . 7 1 1 2 8 1 1 3 . 5 0 0 1 . 4 6 . 00 . 004 . 04 8 2 7 3 2 . 5 8 1 2 6 0 8 3 . 6 0 0 1 . 4 6 . 00 . 0 04 . 07 5 2 7 2 8 . 4 6 1 2 8 0 5 3 . 6 0 0 1 . 4 6 . 00 . 0 04 . 103 2 7 2 4 . 33 1 2 8 0 0 3 . 6 0 0 1 . 4 5 . 00 . 004 . 130 2 7 2 0 . 2 0 1 2 7 9 2 3 . 6 0 0 1 . 4 5 . 0 0 . 0 04 . 158 2 7 1 6 . 0 8 1 2 7 S 3 3 . 6 0 0 1 . 44 . 0 0 . CO4 . 185 2 7 1 1 . 9 5 1 2 7 7 7 3 . 6 0 0 1 . 44 . 0 0 . 004 . 213 2 7 0 7 . S 3 1 2 7 7 5 3 . 70 0 1 . 44 . 0 0 . 0 04 . 2 4 0 2 7 0 3 . 7 0 1 2 7 7 0 3 . 70 0 1 . 4 3 . 00 . 0 0


203

Table 35. Calculation values used to determine the DAMBRK discharges for the drainage structures on the UPRR1 alluvial fan.

Structure

DAMBRKDownstream

Length(mi)

DAMBRKMaximumDischarge

(cfs)W s/W c

(ft/ft)

DAMBRKStructureDischarge

(cfs)

1 4.048 12808 0.0610 782

2 4.048 12808 0.0329 421

3 3.993 12821 0.0286 366

4 3.752 12873 0.0581 748

5 3.804 12860 0.0425 547

6 3.699 12880 0.0821 1057

7 3.699 12880 0.0667 859

8 3.752 12873 0.0480 618

9 3.621 12900 0.0553 713

10 3.568 12911 0.0667 861

11 3.568 12911 0.0533 689

12 3.621 12900 0.0855 1103


204



Interpolated DAMBRKDownstream Downstream

Structure Length Length(mi) (mi)

19 1.61 1.607

20A 1.55 1.550

208 1.55 1.550


Table 37. DAMBRK summary output file for the UPRR2 alluvial fan model.

SUMMARY OF OUTPUT DATA

P R O F I L E OF CRESTS AND T I M E S FORBELOW UPRR2 APEX

205

FROM DAM MAX ELEV MAX FLOW T I M E MAX MAX VEL FLOOD ELEV T I M E FLOOD

M I L E FEET CFS EL EV- HRS FPS FEET EL E V - HR S

. 0 0 0 3 2 5 8 . 9 0 6 6 8 2 3 . 9 2 5 9 . 2 4 . 0 0 . 00

. 005 3 2 5 7 . 7 0 6 6 8 0 3 . 9 2 5 9 . 2 8 . 0 0 . 00

. 0 1 0 3 2 5 6 . 5 2 6 6 7 9 3 . 9 2 5 9 . 1 8 . 0 0 . 00

. 0 1 5 3 2 5 5 . 34 6 6 7 7 3 . 9 2 5 9 . 1 2 . 0 0 . 00

. 0 2 0 3 2 5 4 . 1 7 6 6 7 6 3 . 9 2 5 9 . 0 5 . 0 0 . 00

. 025 3 2 5 2 . 9 9 6 6 7 4 3 . 9 2 5 8 . 9 9 . 0 0 . 00

. 0 3 0 3 2 5 1 . 8 1 6 6 7 3 3 . 9 2 5 8 . 9 2 . 0 0 . 00

. 0 3 5 3 2 5 0 . 6 3 6 6 7 1 3 . 9 2 5 8 . 86 . 0 0 . 0 0

. 040 3 2 4 9 . 4 6 6 6 7 0 3 . 9 2 5 8 . 8 0 . 0 0 . 0 0

. 0 4 5 3 2 4 8 . 2 8 6 6 6 8 3 . 925 8 . 7 4 . 0 0 . 0 0

. 0 5 0 3 2 4 7 . 1 0 6 666 3 . 925 8 . 6 9 . 0 0 . 0 0

. 0 5 5 3 2 4 5 . 9 3 6 6 6 5 3 . 925 8 . 6 3 . 00 . 0 0

. 060 3 2 4 4 . 7 5 6 6 6 3 3 . 9 2 5 8 . 58 . 0 0 . 00

. 06 5 3 2 4 3 . 5 8 6 6 6 2 3 . 9 2 5 8 . 53 . 00 . 00

. 07 0 3 2 4 2 . 4 0 6 6 6 0 3 . 9 2 5 8 . 4 7 . 00 . 00

. 07 5 3 2 4 1 . 2 3 6 6 5 8 3 . 9 2 5 8 . 4 2 . 00 . 00

. 0 8 0 3 2 4 0 . 0 5 6 6 5 7 3 . 9 2 5 8 . 3 7 . 00 . 00

. 08 5 3 2 3 8 . 88 6 6 5 5 3 . 9 2 5 8 . 3 2 . 00 . 0 0

. 0 9 0 3 2 3 7 . 7 1 6 6 5 3 3 . 9 2 5 8 . 2 8 . 00 . 00

. 0 9 5 3 2 3 6 . 53 6 6 5 2 3 . 9 2 5 8 . 2 3 . 00 . 0 0

. 100 3 2 3 5 . 3 6 6 6 5 0 3 . 9 2 5 8 . 1 8 . 0 0 . 00

. 105 3 2 3 4 . 1 9 6 64 8 3 . 9 2 5 8 . 14 . 0 0 . 00

. 110 3 2 3 3 . 0 1 6 6 4 6 3 . 9 2 5 8 . 09 . 0 0 . 00

. 115 3 2 3 1 . 84 6 6 4 5 3 . 925 8 . 05 . 0 0 . 00

. 120 3 2 3 0 . 6 7 6 6 4 3 3 . 925 8 . 01 . 00 . 00

. 125 3 2 2 9 . 5 0 6 6 4 1 3 . 925 7 . 96 . 00 . 00

. 130 3 2 2 8 . 33 6 6 3 9 3 . 925 7 . 9 2 . 0 0 . 00

. 135 3 2 2 7 . 1 5 6 6 3 8 3 . 9 2 5 7 . 88 . 0 0 . 00

. 140 3 2 2 5 . 98 6 6 3 6 3 . 925 7 . 8 4 . 0 0 . 00

. 145 3 2 2 4 . 8 1 6 6 3 4 3 . 9 2 5 7 . 80 . DO . 0 0

. 150 3 2 2 3 . 64 6 6 3 2 3 . 9 2 5 7 . 76 . 00 . 00

. 155 3 2 2 2 . 4 7 6 6 3 0 3 . 9 2 5 7 . 73 . 00 . 0 0

. 16 0 3 2 2 1 . 3 0 6 6 2 9 3 . 9 2 5 7 . 6 9 . 00 . 00

. 165 3 2 2 0 . 1 3 6 6 2 7 3 . 9 2 5 7 . 6 5 .00 .00

. 170 3 2 1 8 . 9 6 6 6 2 5 3 . 925 7 . 6 2 .00 .00

. 175 3 2 1 7 . 7 9 6 6 2 3 3 . 925 7 . 5 8 .00 .00

. 180 3 2 1 6 . 6 2 6 6 2 1 3 . 925 7 . 55 .00 .00

. 185 3 2 1 5 . 4 5 6 6 1 9 3 . 925 7 . 5 1 .00 . 00

. 1 9 0 3 2 1 4 . 2 8 6 6 1 7 3 . 925 7 . 4 8 .00 . 00

. 195 3 2 1 3 . 1 1 6 616 3 . 925 7 44 .00 . 00

. 2 0 0 3 2 1 1 . 9 4 6 6 1 4 3 . 925 7 . 4 1 . 00 . 00

. 2 0 5 3 2 1 0 . 77 6 6 1 2 3 . 925 7 . 3 8 .00 .00

. 2 1 0 3 2 0 9 . 6 0 6 6 1 0 3 . 925 7 . 3 5 .00 . 00


PROFILE OF CRESTS AND TIMES FORBELOW UPRRO APEX

206

DISTANCEFROM DAM MAX ELEV MAX FLOW T I M E MAX MAX VEL FLOOD ELEV T I M E FLOOD

M I L E FEET CFS E L EV- HRS FPS FEET EL EV- HR S. . . . . .

. 2 1 5 3 2 0 8 . 43 6 6 0 8 3 . 925 7 . 3 2 . 0 0 . 0 0

. 2 2 0 3 2 0 7 . 2 6 6 6 0 6 3 . 925 7 . 2 8 . 0 0 . 0 0

. 2 2 5 3 2 0 6 . 0 9 6 6 0 4 3 . 9 2 5 7 . 25 . 00 . 0 0

. 2 3 0 3 2 0 4 . 93 6 6 0 2 3 . 9 25 7 . 2 2 . 00 . 00

. 2 3 5 3 2 0 3 . 7 6 6 6 0 0 3 . 9 25 7 . 19 . 0 0 . 00

. 2 4 0 3 2 0 2 . 5 9 6 5 9 8 3 . 9 25 7 . 17 . 00 . 00

. 2 4 5 3 2 0 1 . 4 2 6 5 9 6 3 . 9 25 7 . 14 . 00 . 00

. 2 5 0 3 2 0 0 . 2 5 6 5 9 4 3 . 9 2 5 7 . 11 . 00 . 00

. 2 5 5 3 1 9 9 . 0 8 6 5 9 2 3 . 9 25 7 . 0 8 . 00 . 00

. 2 60 3 1 9 7 . 9 2 6 5 9 2 4 . 1 25 7 . 05 . 00 . 0 0

. 2 65 3 1 9 6 . 7 5 6 5 9 2 4 . 1 2 5 7 . 03 . 0 0 . 00

. 2 70 3 1 9 5 . 5 8 6 5 9 2 4 . 1 2 5 7 . 0 0 . 00 . 00

. 2 9 6 3 1 8 5 . 73 6 5 9 2 4 . 1 2 5 8 . 23 . 00 . 00

. 3 2 1 3 1 7 6 . 3 8 6 5 9 1 4 . 1 2 5 5 . 98 . 0 0 . 00

. 3 47 3 1 6 6 . 7 4 6 5 9 1 4 . 1 2 5 6 . 72 . 0 0 . 00

. 3 7 3 3 1 5 7 . 3 6 6 5 9 0 4 . 1 2 5 5 . 3 5 . 0 0 . 0 0

. 3 9 9 3 1 4 7 . 8 0 6 5 8 9 4 . 1 2 5 5 . 8 7 . 0 0 . 0 0

. 4 2 4 3 1 3 0 . 4 0 6 5 8 8 4 . 1 2 5 4 . 90 . 0 0 . 0 0

. 4 5 0 3 1 2 8 . 8 8 6 5 8 6 4 . 1 2 5 5 . 30 . 0 0 . 0 0

. 4 7 7 3 1 2 6 . 4 5 6 5 8 3 3 . 8 0 0 2 . 46 . 00 . 0 0

. 504 3 1 2 2 . 86 6 5 7 9 4 . 1 2 5 7 . 3 2 . 0 0 . 0 0

. 5 3 1 3 1 2 0 . 4 4 6 5 7 5 3 . 8 0 0 2 . 22 . 0 0 . 0 0

. 5 5 8 3 1 1 6 . 8 5 6 5 7 1 4 . 125 7 . 4 1 . 0 0 . 0 0

. 5 8 5 3 1 1 4 . 44 6 5 6 5 3 . 8 0 0 2 . 02 . 00 . 0 0

. 6 1 2 3 1 1 0 . 8 6 6 5 6 0 4 . 1 2 5 7 . 51 . 00 . 0 0

. 6 3 9 3 1 0 8 . 4 7 6 5 5 4 3 . 825 1 . 8 6 . 00 . 00

. 6 6 6 3 1 0 4 . 8 8 6 5 4 8 4 . 1 2 5 8 . 1 1 . 0 0 . 00

. 6 9 3 3 1 0 2 . 4 7 6 5 4 1 3 . 825 1 . 7 3 . 00 . 00

. 7 2 0 3 0 9 8 . 9 0 6 5 3 3 4 . 1 2 5 8 . 0 3 . 00 . 00

. 7 3 1 3 0 9 4 . 95 6 5 3 3 4 . 125 2 . 52 . 00 . 00

. 743 3 0 9 0 . 2 7 6 5 2 9 3 . 4 0 0 9 . 1 8 . 0 0 . 00

. 7 5 4 3 0 8 6 . 2 9 6 5 2 8 4 . 1 2 5 2 . 5 9 . 00 . 00

. 7 6 5 3 0 8 1 . 6 7 6 5 2 4 3 . 6 0 0 7 . 24 . 00 . 00

. 7 7 7 3 0 7 7 . 6 5 6 5 2 2 4 . 1 2 5 2 . 6 6 . 0 0 . 00

. 7 88 3 0 7 3 . 0 7 6 5 1 8 3 . 8 2 5 6 . 3 4 . 0 0 . 00

. 7 9 9 3 0 6 9 . 0 1 6 5 1 6 4 . 1 2 5 2 . 73 . 00 . 00

. 8 10 3 0 6 4 . 4 7 6 5 1 2 3 . 925 5 . 8 0 . 00 . 0 0

. 822 3 0 6 0 . 3 8 6 5 0 9 4 . 125 2 . 78 . 00 . 0 0

. 833 3 0 5 5 . 87 6 5 0 5 3 . 925 5 . 4 1 . 0 0 . 0 0

. 844 3 0 5 1 . 7 6 6 5 0 2 4 . 125 2 . 83 . 0 0 . 0 0

. 856 3 0 4 7 . 27 6 4 9 6 4 . 1 2 5 5 . 1 2 . 0 0 . 0 0

. 8 67 3 0 4 3 . 14 6 4 9 4 4 . 125 2 . 67 . 0 0 . 0 0

. 878 3 0 3 8 . 6 7 6 4 9 0 4 . 125 4 . 89 . 0 0 . 0 0

. 8 90 3 0 3 4 . 5 1 6 4 8 6 4 . 125 2 . 90 . 0 0 . 00

. 9 01 3 0 3 0 . 0 6 6 4 8 2 4 . 125 4 . 70 . 0 0 . 00

. 912 3 0 2 5 . 8 9 6 4 7 8 4 . 125 2 . 92 . 0 0 . 00

. 923 3 0 2 1 . 4 6 6 4 7 3 4 . 125 4 . 54 . 0 0 . 00

. 935 3 0 1 7 . 2 7 6 4 6 9 4 . 125 2 . 94 . 0 0 . 00

. 946 3 0 1 2 . 6 5 64 64 4 . 125 4 . 4 1 . 0 0 . 0 0

. 9 57 3 0 0 8 . 6 6 6 4 5 9 4 . 125 2 . 95 . 0 0 . 0 0

. 9 69 3 0 0 4 . 24 6 4 5 4 4 . 125 4 . 29 . 0 0 . 0 0

. 9 80 3 0 0 0 . 04 6 4 4 9 4 . 125 2 . 97 . 0 0 . 0 0

. 9 97 2 9 9 5 . 95 6 4 4 0 4 . 125 3 . 09 . 0 0 . 001 . 014 2 9 9 1 . 88 6 4 3 1 4 . 125 2 . 93 . 0 0 . 0 01 . 0 3 1 2 9 8 7 . 7 9 6 4 2 2 4 . 125 3 . 05 . 00 . D O1 . 048 2 9 8 3 . 72 6 4 1 2 4 . 125 2 . 90 . 00 . 001 . 0 6 5 2 9 7 9 . 63 6 4 0 1 4 . 125 3 . 02 . 00 . 00


PROFILE OF CRESTS AND TIMES FORBELOW UPRR2 APEX

207

DISTANCEFROM DAM MAX ELEV MAX FLOW T I M E MAX MAX VEL FLOOD ELEV T I M E FLOOD

M I L E FEET CFS E L EV- HRS FPS FEET ELEV- HRS

1 . 082 2 9 7 5 . 56 6 3 9 1 4 . 1 2 5 2 . 87 . 00 . 0 01 . 0 9 9 2 9 7 1 . 4 7 6 3 8 0 4 . 1 2 5 2 . 99 . 00 . 0 01 . 1 1 6 2 9 6 7 . 4 1 6 3 6 9 4 . 3 2 5 2 . 84 . 00 . 0 01 . 134 2 9 6 3 . 3 1 6 3 6 5 4 . 12 5 2 . 96 . 00 . 0 01 . 1 5 1 2 9 5 9 . 2 5 6 3 6 5 4 . 3 2 5 2 . 80 . 00 . 0 01 . 1 6 8 2 9 5 5 . 1 6 6 3 6 4 4 . 3 2 5 2 . 94 . 00 . 0 01 . 1 8 5 2 9 5 1 . 0 9 6 3 6 3 4 . 3 2 5 2 . 78 . 00 . 0 01 . 2 0 2 2 9 4 7 . 0 0 6 3 6 2 4 . 3 2 5 2 . 9 1 . 00 . 001 . 2 1 9 2 9 4 2 . 9 4 6 3 6 0 4 . 3 2 5 2 . 7 5 . 00 . 001 . 2 3 6 2 9 3 8 . 8 4 6 3 5 9 4 . 3 2 5 2 . 8 9 . GO . 001 . 2 5 3 2 9 3 4 . 7 8 6 3 5 6 4 . 3 2 5 2 . 73 . 0 0 . 0 01 . 2 7 0 2 9 3 0 . 6 8 6 3 5 4 4 . 3 25 2 . 86 . 0 0 . 0 01 . 2 8 3 2 9 2 7 . 5 6 6 3 5 2 4 . 3 25 2 . 6 9 . 0 0 . 001 . 2 9 7 2 9 2 4 . 4 0 6 3 4 9 4 . 3 2 5 2 . 85 . 0 0 . 0 01 . 3 1 0 2 9 2 1 . 2 7 6 3 4 7 4 . 3 2 5 2 . 6 8 . 00 . 0 01 . 3 2 3 2 9 1 8 . 1 1 6 3 4 4 4 . 3 2 5 2 . 85 . 00 . 0 01 . 3 3 7 2 9 1 4 . 9 9 6 3 4 1 4 . 3 2 5 2 . 6 7 . 00 . 0 01 . 3 5 0 2 9 1 1 . 8 2 6 3 3 8 4 . 3 2 5 2 . 8 4 . 00 . 001 . 3 6 3 2 9 0 8 . 7 0 6 3 3 5 4 . 3 2 5 2 . 6 5 . 00 . 001 . 3 7 7 2 9 0 5 . 5 4 6 3 3 1 4 . 3 2 5 2 . 8 3 . 00 . 0 01 . 3 9 0 2 9 0 2 . 4 1 6 3 2 8 4 . 3 2 5 2 . 64 . 00 . 001 . 4 0 3 2 8 9 9 . 2 5 6 3 2 4 4 . 3 2 5 2 . 8 3 . 00 . 001 . 4 1 7 2 8 9 6 . 1 2 6 3 2 0 4 . 3 2 5 2 . 6 3 . 00 . 0 01 . 4 3 0 2 8 9 2 . 96 6 3 1 5 4 . 3 2 5 2 . 82 . 00 . 001 . 4 4 3 2 8 8 9 . 8 4 6 3 1 1 4 . 3 2 5 2 . 62 . 00 . 001 . 4 5 7 2 8 8 6 . 6 7 6 3 0 6 4 . 3 2 5 2 . 82 . 00 . 001 . 4 7 0 2 8 8 3 . 5 5 6 3 0 1 4 . 3 2 5 2 . 6 1 . 0 0 . 001 . 4 8 3 2 8 8 0 . 3 9 6 2 9 6 4 . 3 2 5 2 . 8 1 . 0 0 . 0 01 . 4 9 7 2 8 7 7 . 2 6 6 2 9 1 4 . 3 2 5 2 . 6 0 . 0 0 . 0 01 . 5 1 0 2 8 7 4 . 1 0 6 2 8 6 4 . 3 2 5 2 . 8 0 . 0 0 . 0 01 . 523 2 8 7 0 . 9 8 6 2 8 0 4 . 3 2 5 2 . 58 . 0 0 . 0 01 . 537 2 8 6 7 . 8 1 6 2 7 5 4 . 3 2 5 2 . 80 . 0 0 . 0 01 . 550 2 8 6 4 . 69 6 2 6 9 4 . 3 2 5 2 . 57 . 0 0 . 0 01 . 564 2 8 6 1 . 7 4 6 2 6 2 4 . 3 25 2 . 58 . 0 0 . 0 01 . 579 2 8 5 8 . 8 0 6 2 5 5 4 . 3 2 5 2 . 58 . 00 . 001 . 593 2 8 5 5 . 85 6 2 4 8 4 . 3 2 5 2 . 59 . 00 . 001 . 6 0 7 2 8 5 2 . 9 0 6 2 4 1 4 . 3 2 5 2 . 59 . 0 0 . 001 . 6 2 1 2 8 4 9 . 96 6 2 3 3 4 . 3 2 5 2 . 6 0 . 0 0 . 0 01 . 6 3 6 2 8 4 7 . 0 1 6 2 2 5 4 . 3 2 5 2 . 6 0 . 0 0 . 001 . 6 5 0 2 8 4 4 . 06 6 2 1 7 4 . 3 2 5 2 . 61 . 0 0 . 001 . 6 6 4 2 8 4 1 . 12 6 2 0 9 4 . 3 2 5 2 . 61 . 0 0 . 0 01 . 6 7 9 2 8 3 8 . 1 7 6 2 0 2 4 . 3 2 5 2 . 62 . 00 . 0 01 . 6 9 3 2 8 3 5 . 22 6 2 0 2 4 . 525 2 . 62 . 0 0 . 0 01 . 7 0 7 2 8 3 2 . 28 6 2 0 1 4 . 525 2 . 63 . 0 0 . 0 01 . 7 2 1 2 8 2 9 . 3 3 6 2 0 1 4 . 525 2 . 64 . 00 . 0 01 . 7 3 6 2 8 2 6 . 3 8 6 2 0 0 4 . 52 5 2 . 64 . 0 0 . 001 . 7 5 0 2 8 2 3 . 4 4 6 1 9 9 4 . 525 2 . 6 5 . 0 0 . 001 . 7 6 4 2 8 2 0 . 49 6 1 9 8 4 . 525 2 . 6 5 . 0 0 . 0 01 . 7 7 9 2 8 1 7 . 5 4 6 1 9 7 4 . 525 2 . 6 6 . 0 0 . 0 01 . -793 2 8 1 4 . 60 6 1 9 6 4 . 525 2 . 6 7 . 0 0 . 00: . 8 0 7 2 8 1 1 . 6 5 6 1 9 4 4 . 525 2 . 6 7 . 0 0 . 0 01 . 621 2 8 0 6 . 7 0 6 1 9 2 4 . 525 2 . 6 6 . 0 0 . 0 01 . 836 2 8 0 5 . 76 6 1 9 0 4 . 525 2 . 6 9 . 0 0 . 0 01 . 8 5 0 2 8 0 2 . 61 6 1 8 8 4 . 5 2 5 2 . 69 . 0 0 . 001 . 8 6 5 2 7 9 9 . 8 1 6 1 8 6 4 . 52 5 2 . 70 . 00 . 001 . 879 2 - 9 6 . 8 1 6 1 8 3 4 . 525 2 . 70 . 00 . 0 01 . 9 9 4 2 7 9 3 . 8 1 6 1 6 0 4 . 52 5 2 . 70 . 0 0 . 0 0


208


OM DAM MAX ELEV MAX FLOW T I M E r-lAX MAX VE L FLOOD ELEV T I M E FLOOD

M I L E FEET CFS EL EV- HRS FPS FEET EL EV- HRS

1 . 90 8 2 7 9 0 . 8 1 6 1 7 7 4 . 52 5 2 . 7 0 . 00 . 00

1 . 923 2 7 8 7 . 8 1 6 1 7 4 4 . 52 5 2 . 7 0 . 00 . 0 0

1 . 9 3 7 2 7 8 4 . 8 1 6 1 7 0 4 . 5 2 5 2 . 7 1 . 00 . 00

1 . 95 2 2 7 8 1 . 8 1 6 1 6 7 4 . 5 2 5 2 . 7 1 . 0 0 . 00

1 . 96 6 2 7 7 8 . 8 1 6 1 6 3 4 . 5 2 5 2 . 71 . 0 0 . 00

1 . 9 8 1 2 7 7 5 . 6 1 6 1 5 9 4 . 5 2 5 2 . 71 . 00 . 00

1 . 99 5 2 7 7 2 . 8 1 6 1 5 5 4 . 5 2 5 2 . 71 . 0 0 . 00

2 . 0 1 0 2 7 6 9 . 8 1 6 1 5 1 4 . 5 2 5 2 . 72 . 0 0 . 00


209


DAMBRK DAMBRK DAMBRKDownstream Maximum Structure

Structure Length Discharge W s/W c Discharge(mi) (cfs) (ft/ft) (cfs)

19 1.607 6241 0.2622 1636

20A 1.550 6269 0.3750 2351

20B 1.550 6269 0.3750 2351


210



Structure


Length(mi)

DAMBRKDownstream

Length(mi)

Structure


Length(mi)

DAMBRKDownstream

Length(mi)

13A 3.10 3.093 16 2.80 2.806

13B 3.10 3.093 17 2.71 2.710

14 2.94 2.950 18 2.67 2,684

15 2.85 2.854 — — —


Table 40. DAMBRK summary output file for the UPRR3 alluvial fan model.

* * * SUMMARY OF OUTPUT DATA * •

P R O F I L E OF CRESTS AND T I M E S FORBELOW UPRR3 APEX

211

DI ST ANCEFROM DAM MAX EL EV MAX FLOW T I M E MAX MAX V E L FLOOD ELEV T I M E FLOOD

M I L E FEET CFS EL EV- HR S FPS FEET EL E V - HR S

. 000 2 8 5 0 . 9 0 5684 2 . 0 0 0 5 . 2 9 . 00 . 00

. 008 2 8 4 9 . 3 2 5 6 8 1 2 . 0 0 0 5 . 27 . 0 0 . 00

. 016 2 8 4 7 . 7 4 567 7 2 . 0 0 0 5 . 2 8 . 00 . 00

. 025 2 8 4 6 . 1 7 5674 2 . 0 0 0 5 . 26 . 00 . 00

. 033 2 8 4 4 . 5 9 567 0 2 . 0 0 0 5 . 2 6 . 00 . 00

. 041 2 8 4 3 . 0 1 5 6 6 7 2 . 0 0 0 5 . 2 4 . 00 . 00

. 049 2 8 4 1 . 4 3 566 3 2 . 0 0 0 5 . 2 5 . 00 . 00

. 0 5 7 2 8 3 9 . 8 6 566 0 2 . 0 0 0 5 . 23 . 00 . 00

. 065 2 8 3 8 . 2 8 5 6 5 6 2 . 0 0 0 5 . 2 3 . 00 . 00

. 074 2 8 3 6 . 7 0 565 3 2 . 0 0 0 5 . 2 2 . 00 . 00

. 082 2 8 3 5 . 1 2 564 9 2 . 0 0 0 5 . 22 . 00 . 00

. 0 9 0 2 8 3 3 . 5 5 564 6 2 . 0 0 0 5 . 2 0 . 00 . 0 0

. 098 2 8 3 1 . 9 7 564 2 2 . 0 0 0 5 . 2 1 . 00 . 00

. 106 2 8 3 0 . 3 9 563 8 2 . 0 0 0 5 . 1 9 . 00 . 00

. 115 2 8 2 8 . 8 1 563 5 2 . 0 0 0 5 . 1 9 . 00 . 00

. 123 2 8 2 7 . 2 4 563 1 2 . 0 0 0 5 . 18 . 00 . 00

. 131 2 6 2 5 . 6 6 562 8 2 . 0 0 0 5 . 1 8 . 00 . 00

. 139 2 8 2 4 . 0 8 5624 2 . 0 0 0 5 . 17 . 00 . 0 0

. 147 2 8 2 2 . 5 0 562 0 2 . 0 0 0 5 . 17 . 00 . 00

. 155 2 8 2 0 . 9 3 5 6 1 7 2 . 0 0 0 5 . 15 . 00 . 0 0

. 164 2 8 1 9 . 3 5 5613 2 . 0 0 0 5 . 15 . 00 . 00

. 172 2 8 1 7 . 7 7 561 0 2 . 0 0 0 5 . 14 . 00 . 00

. 1 8 0 2 8 1 6 . 1 9 560 6 2 . 0 0 0 5 . 14 . 00 . 0 0

. 188 2 8 1 4 . 6 2 560 2 2 . 0 0 0 5 . 13 . 0 0 . 00

. 196 2 8 1 3 . 0 4 559 9 2 . 0 0 0 5 . 13 . 00 . 00

. 2 0 5 2 8 1 1 . 4 6 559 5 2 . 0 0 0 5 . 12 . 00 . 00

. 21 3 2 8 0 9 . 8 8 5591 2 . OOO 5 . 12 . 00 . 00

. 2 21 2 8 0 8 . 3 1 558 8 2 . 0 0 0 5 . 1 0 . 00 . 00

. 2 29 2 8 0 6 . 7 3 5584 2 . 0 0 0 5 . 10 . 0 0 . 00

. 2 3 7 2 8 0 5 . 1 5 558 0 2 . 1 00 5 . 09 . 00 . 00

. 2 45 2 8 0 3 . 5 7 5 5 7 7 2 . 0 0 0 5 . 10 . 00 . 0 0

. 2 5 4 2 8 0 2 . 0 0 5573 2 . 1 0 0 5 . 08 . 00 . 00

. 262 2 8 0 0 . 4 2 5574 2 . 0 0 0 5 . 09 . 00 . 00

. 2 7 0 2 7 9 8 . 8 5 551 6 2 . 1 00 5 . 0 7 . 00 . 00

. 2 8 0 2 7 9 7 . 1 6 557 9 2 . 0 0 0 4 . 75 . 00 . 00

. 2 9 0 2 7 9 5 . 3 7 558 1 2 . 1 00 5 . 0 1 . 00 . 00

. 3 0 0 2 7 9 3 . 6 9 55B3 2 . 1 00 4 . 6 8 . 00 . 00

. 310 2 7 9 1 . 9 0 5 5 6 5 2 . 1 0 0 4 . 96 . 00 . 00

. 3 2 0 2 7 9 0 . 2 2 5 5 8 7 2 . 1 0 0 4 . 6 0 .00 . 00

. 3 3 0 2 7 8 8 . 4 3 5 5 8 9 2 . 1 0 0 4 . 9 1 . 00 . 00

. 3 4 0 2 7 8 6 . 7 5 5 5 9 1 2 . 1 0 0 4 . 53 . 00 . 00

. 3 5 0 2 7 8 4 . 96 5592 2 . 1 0 0 4 . 8 7 . 00 . CO


212


FROM DAM MAX ELEV MAX FLOW TI ME MAX MAX V E L FLOOD ELEV T I M E FLOODM I L E FEET CFS ELEV- HRS FPS FEET EL EV- HRS

* * * * * * » * * • * » * * * * * * * * * * * * * * * * *

. 3 6 0 2 7 8 3 . 2 9 5 59 3 2 . 1 0 0 4 . 4 6 . 00 . 00

. 3 7 0 2 7 8 1 . 4 8 5 59 4 2 . 1 0 0 4 . 8 3 . 00 . 00

. 3 8 0 2 7 7 9 . 8 2 5 5 9 5 2 . 1 0 0 4 . 3 8 . 00 . 00

. 3 9 0 2 7 7 8 . 0 1 5 5 9 6 2 . 1 0 0 4 . 81 . 00 . 00

. 4 0 0 2 7 7 6 . 3 6 5 5 9 6 2 . 1 0 0 4 . 3 1 . 00 . 00

. 4 1 0 2 77 4 . 54 5 5 9 6 2 . 1 0 0 4 . 78 . 00 . 00

. 4 2 0 2 7 7 2 . 9 0 5 5 9 6 2 . 1 0 0 4 . 2 4 . 00 . 00

. 4 3 0 2 7 7 1 . 0 7 5 5 9 6 2 . 1 0 0 4 . 77 . 00 . 00

. 4 4 0 2 7 6 9 . 4 3 5 5 9 6 2 . 1 0 0 4 . 16 . 00 . 00

. 4 5 0 2 7 6 7 . 6 0 5 5 9 6 2 . 100 4 . 76 . 00 . 00

. 4 6 0 2 7 6 5 . 9 7 5 5 9 5 2 . 100 4 . 08 . 00 . 00

. 4 7 0 2 7 6 4 . 1 3 5 5 9 5 2 . 1 0 0 4 . 76 . 00 . 00

. 4 8 0 2 7 6 2 . 5 1 5 59 4 2 . 100 4 . 00 . 00 . 00

. 4 9 0 2 7 6 0 . 6 5 5 59 3 2 . 1 0 0 4 . 7 7 . 00 . 00

. 5 1 6 2 7 5 3 . 9 2 5 5 9 0 2 . 1 0 0 4 . 83 . 00 . 00

. 542 2 7 4 7 . 2 6 5 5 8 6 2 . 1 0 0 4 . 4 8 . 00 . 00

. 56 7 2 7 4 0 . 5 4 5 5 8 1 2 . 1 0 0 4 . 53 . 00 . 00

. 593 2 7 3 3 . 8 7 5 5 7 6 2 . 1 0 0 4 . 2 5 . 00 . 00

. 6 1 9 2 7 2 7 . 1 7 5 5 6 9 2 . 2 0 0 4 . 2 9 . 00 . 00

. 6 4 5 2 7 2 0 . 5 0 5 5 6 2 2 . 1 0 0 4 . 05 . 00 . 00

. 6 7 1 2 7 1 3 . 8 0 5 55 4 2 . 2 0 0 4 . 09 . 00 . 00

. 6 9 7 2 7 0 7 . 1 4 5 5 4 5 2 . 1 0 0 3 . 8 9 . oo . 00

. 7 2 2 2 7 0 0 . 4 4 5 53 6 2 . 2 0 0 3 . 9 1 . 00 . 00

. 7 4 8 2 6 9 3 . 7 7 5 5 3 8 2 . 1 0 0 3 . 74 . 00 . 00

. 774 2 6 8 7 . 0 9 5 54 3 2 . 2 0 0 3 . 76 . 00 . 00

. 8 0 0 2 6 8 0 . 4 2 5 5 4 7 2 . 1 0 0 3 . 6 1 . 00 . 00

. 8 0 6 2 6 7 8 . 9 8 5 5 4 8 2 . 2 0 0 3 . 50 . 00 . 00

. 8 1 2 2 6 7 7 . 5 3 5 5 4 9 2 . 1 0 0 3 . 59 . 00 . 00

. 8 1 8 2 6 7 6 . 1 0 5 5 4 9 2 . 2 0 0 3 . 4 8 . 00 . 0 0

. 824 2 6 7 4 . 6 4 5 5 5 0 2 . 1 0 0 3 . 56 . 00 . 0 0

. 8 3 0 2 6 7 3 . 2 1 5 5 5 1 2 . 2 0 0 3 . 4 5 . 00 . 0 0

. 8 3 6 2 6 7 1 . 7 5 5 5 5 1 2 . 1 0 0 3 . 5 4 . 00 . 0 0

. 842 2 6 7 0 . 3 2 5 5 5 2 2 . 2 0 0 3 . 4 2 . 00 . 00

. 848 2 6 6 8 . 8 6 5 5 5 2 2 . 1 0 0 3 . 5 1 . 00 . 00

. 8 5 4 2 6 6 7 . 4 3 5 5 5 2 2 . 2 0 0 3 . 4 0 . 00 . 0 0

. 86 0 2 6 6 5 . 9 7 5 5 5 2 2 . 1 0 0 3 . 4 9 . 00 . 0 0

. 86 7 2 6 6 4 . 5 4 5 5 5 2 2 . 2 0 0 3 . 3 8 . 00 . 0 0

. 8 7 3 2 6 6 3 . 0 9 5 5 5 2 2 . 100 3 . 4 7 . 00 . 0 0

. 6 7 9 2 6 6 1 . 66 5 5 5 2 2 . 2 0 0 3 . 3 5 . 00 . 00

. 6 8 5 2 6 6 0 . 2 0 5 5 5 2 2 . 1 0 0 3 . 4 5 . 00 . 0 0

. 8 9 1 2 6 5 6 . 7 7 5 5 5 2 2 . 20 0 3 . 3 3 . 00 . 0 0

. 8 9 7 2 6 5 7 . 3 1 5 5 5 2 2 . 1 0 0 3 . 4 2 . 00 . 0 0

. 9 0 3 2 6 5 5 . 8 8 5 5 5 2 2 . 2 0 0 3 . 3 0 . 00 . 0 0

. 9 09 2 6 5 4 . 4 2 5 5 5 1 2 . 2 0 0 3 . 4 0 . 00 . 0 0

. 9 1 5 2 6 5 2 . 9 9 5 5 5 1 2 . 2 0 0 3 . 2 8 . 00 . 00

. 921 2 6 5 1 . 54 5 5 5 0 2 . 2 0 0 3 . 3 6 . 00 . 00

. 9 27 2 6 5 0 . 1 1 5 5 5 0 2 . 2 0 0 3 . 2 5 . 00 . 00

. 933 2 6 4 8 . 6 5 5 5 4 9 2 . 2 0 0 3 . 3 6 . 00 . 00

. 9 39 2 6 4 7 . 2 2 5 54 8 2 . 2 0 0 3 . 2 3 . 00 . 00

. 9 45 2 6 4 5 . 7 6 5 5 4 7 2 . 2 0 0 3 . 3 4 . 00 . 00

. 9 5 1 2 6 4 4 . 3 3 5 54 6 2 . 2 0 0 3 . 2 1 . 00 . 00

. 957 2 6 4 2 . 8 7 5 5 4 5 2 . 2 0 0 3 . 32 . 00 . 00

. 963 2 6 4 1 . 4 4 5 54 4 2 . 2 0 0 3 . 1 8 . 00 . 00

. 969 2 6 3 9 . 9 9 5 54 3 2 . 2 0 0 3 . 3 0 . 00 . 00

. 975 2 6 3 8 . 56 5 5 4 2 2 . 2 0 0 3 . 16 . 00 . 0 0

. 981 2 6 3 7 . 1 0 5 5 4 1 2 . 200 3 . 2 9 . 00 . 0 0

. 9 87 2 6 3 5 . 6 7 5 5 3 9 2 . 200 3 . 14 . 00 . 0 0

. 993 2 6 3 4 . 2 1 5 5 3 8 2 . 200 3 . 2 7 . 00 . 00


213


DISTANCEFROM DAM MAX ELEV MAX FLOW T I M E MAX MAX VEL FLOOD EL EV T I M E FLOOD

M I L E FEET CFS EL EV- HRS FPS FE ET EL EV- HRS• • • « » * • • * * * * * * * * * * * * * * * * * * * * * * *

1 . 0 0 0 2 6 3 2 . 7 8 5 5 3 6 2 . 2 0 0 3 . 12 . 0 0 . 0 0

1 . 00 6 2 6 3 1 . 3 2 5 5 3 5 2 . 2 0 0 3 . 2 5 . 0 0 . 00

1 . 0 1 2 2 6 2 9 . 9 0 5 5 3 3 2 . 2 0 0 3 . 10 . 00 . 001 . 0 1 8 2 6 2 3 . 44 5 5 3 1 2 . 2 0 0 3 . 23 . 00 . 00

1 . 024 2 6 2 7 . 0 1 5 5 3 0 2 . 2 0 0 3 . 08 . 00 . 00

1 . 0 3 0 2 6 2 5 . 5 5 5 5 2 8 2 . 2 0 0 3 . 22 . 00 . 00

1 . 0 3 6 2 6 2 4 . 1 2 5 5 2 6 2 . 2 0 0 3 . 06 . 00 . 00

1 . 04 2 2 6 2 2 . 6 6 5 5 2 4 2 . 3 0 0 3 . 21 . 0 0 . 00

1 . 0 4 8 2 6 2 1 . 2 4 5 5 2 2 2 . 2 0 0 3 . 04 . 0 0 . 001 . 0 5 4 2 6 1 9 . 7 8 5 5 2 0 2 . 3 0 0 3 . 19 . CO . 00

1 . 0 6 0 2 6 1 8 . 3 5 5 5 1 8 2 . 2 0 0 3 . 03 . 0 0 . 00

1 . 0 8 5 2 6 1 2 . 3 2 5 5 0 8 2 . 3 0 0 3 . 13 . 0 0 . 0 0

1 . 11 0 2 6 0 6 . 33 5 5 0 7 2 . 2 0 0 2 . 90 . 0 0 . 00

1 . 135 2 6 0 0 . 3 0 5 5 1 3 2 . 3 0 0 2 . 99 . 0 0 . 00

1 . 16 0 2 5 9 4 . 3 1 5 5 1 6 2 . 2 0 0 2 . 79 . 0 0 . 00

1 . 18 5 2 5 8 8 . 2 9 5 5 1 7 2 . 3 0 0 2 . 88 . 0 0 . 001 . 2 1 0 2 5 8 2 . 2 9 5 5 1 8 2 . 4 0 0 2 . 70 . 0 0 . 00

1 . 2 3 5 2 5 7 6 . 2 7 5 5 1 8 2 . 3 0 0 2 . 79 . 0 0 . 001 . 2 6 0 2 5 7 0 . 2 8 5 5 1 6 2 . 4 0 0 2 . 6 1 . 0 0 . 00

1 . 2 8 5 2 5 6 4 . 2 6 5 5 1 2 2 . 3 0 0 2 . 70 . 0 0 . 00

1 . 3 1 0 2 5 5 8 . 2 7 5 5 0 8 2 . 4 0 0 2 . 53 . 0 0 . 001 . 3 3 7 2 5 5 1 . 8 1 5 5 0 2 2 . 3 0 0 2 . 66 . 0 0 . 00

1 . 3 6 3 2 5 4 5 . 3 7 5 4 9 4 2 . 4 0 0 2 . 4 9 . 0 0 . 001 . 3 9 0 2 5 3 8 . 9 1 5 4 8 3 2 . 3 0 0 2 . 62 . 0 0 . 001 . 4 1 7 2 5 3 2 . 4 8 5 4 8 5 2 . 4 0 0 2 . 4 5 . 0 0 . 001 . 4 4 3 2 5 2 6 . 0 2 5 4 8 9 2 . 3 0 0 2 . 58 . 0 0 . 001 . 4 7 0 2 5 1 9 . 5 8 5 4 9 3 2 . 4 0 0 2 . 4 1 . 0 0 . 001 . 4 9 7 2 5 1 3 . 1 2 5 4 9 5 2 . 3 0 0 2 . 55 . 0 0 . 00

1 . 52 3 2 5 0 6 . 6 9 5 4 9 4 2 . 4 0 0 2 . 3 7 . 0 0 . 001 . 5 5 0 2 5 0 0 . 2 3 5 4 9 1 2 . 3 0 0 2 . 5 1 . 0 0 . 001 . 5 7 7 2 4 9 4 . 0 5 5 4 8 5 2 . 4 0 0 2 . 26 . 0 0 . 001 . 6 0 4 2 4 8 7 . 82 5 4 7 9 2 . 3 0 0 2 . 4 8 . 00 . 001 . 6 3 1 2 4 6 1 . 6 4 5 4 7 0 2 . 4 0 0 2 . 22 . 0 0 . 001 . 6 5 8 2 4 7 5 . 4 2 5 4 6 1 2 . 5 0 0 2 . 4 5 . 00 . 001 . 6 8 5 2 4 6 9 . 2 4 5 4 6 2 2 . 4 0 0 2 . 19 . 00 . 001 . 71 2 2 4 6 3 . 0 1 5 4 6 7 2 . 5 0 0 2 . 44 . 00 . 00

1 . 7 3 9 2 4 5 6 . 84 5 4 7 1 2 . 6 0 0 2 . 17 . 00 . 0 01 . 76 6 2 4 5 0 . 6 1 5 4 7 1 2 . 5 0 0 2 . 42 . 00 . 001 . 793 2 4 4 4 . 43 5 4 6 8 2 . 6 0 0 2 . 15 . 00 . 001 . 8 2 0 2 4 3 8 . 2 1 5 4 6 7 2 . 5 0 0 2 . 3 9 . 00 . 001 . 84 6 24 3 2 . 2 3 5 4 6 0 2 . 6 0 0 2 . 14 . 00 . 001 . 87 2 2 4 2 6 . 2 1 5 4 5 3 2 . 5 0 0 2 . 4 0 . 0 0 . 001 . 896 2 4 2 0 . 23 5 44 4 2 . 6 0 0 2 . 14 . 0 0 . 001 . 924 2 4 1 4 . 21 544 1 2 . 5 0 0 2 . 4 1 . 0 0 . 001 . 9 5 0 2 4 0 8 . 23 5 4 4 6 2 . 6 0 0 2 . 16 . 0 0 . 0 01 . 97 6 2 4 0 2 . 2 0 5 4 5 1 2 . 5 0 0 2 , 4 1 . 0 0 . 002 . 0 0 2 2 3 9 6 . 23 544 9 2 . 6 0 0 2 . 18 . 00 . 002 . 02 8 2 3 9 0 . 20 5 4 5 0 2 . 50 0 2 . 42 . 00 . 002 . 0 5 4 23 84 . 23 5 4 4 7 2 . 6 0 0 2 . 20 . 00 . CO2 . 0 8 0 2 3 7 8 . 2 0 5 4 4 4 2 . 50 0 2 . 42 . 0 0 . 002 . 106 2 3 7 2 . 89 54 39 2 . 6 0 0 2 . 02 . 00 . 002 , 133 2 3 6 7 . 4 7 5 4 3 1 2 . 7 0 0 2 . 4 3 . 00 . 002 . 1 59 2 3 6 2 . 16 5 4 2 3 2 . 6 0 0 2 . 04 . 00 . 002 . 1 85 23 5 6 . 7 5 5 4 2 6 2 . 7 0 0 2 . 44 . 00 . 002 . 2 1 2 2 3 5 1 . 4 3 5 4 3 2 2 . 6 0 0 2 . 06 . 00 . 002 . 2 3 6 2 3 4 6 . 02 5 43 3 2 . 7 0 0 2 . 45 . CO . 002 . 2 6 5 2 3 4 0 . 71 5 4 3 2 2 . 6 0 0 2 . 08 .00 . 00


214

PROFILE OF CRESTS ABELOW

n X E S F O R

UPRR.3 APEX

DISTANCEFROM DAM MAX ELEV MAX FLOW TIME MAX MAX VEL FLOOD ELEV TIME FLOOD

MILE FEET CFS ELEV-HRS FPS FEET ELEV-HRS

2 . 2 9 1 2 3 3 5 . 2 9 5 4 3 0 2 . 7 0 0 2 . 4 5 . 00 . 00

2 . 3 1 7 2 3 2 9 . 9 8 5 4 2 8 2 . 6 0 0 2 . 10 . 00 . 00

2 . 344 2 3 2 4 . 56 5 4 2 1 2 . 7 0 0 2 . 4 5 . 0 0 . 0 0

2 . 3 7 0 2 3 1 9 . 2 5 5 4 1 4 2 . 8 0 0 2 . 13 . 00 . 0 0

2 . 3 9 6 2 3 1 4 . 5 2 5 4 0 4 3 . 2 0 0 2 . 26 . 00 . 0 0

2 . 4 2 2 2 3 0 9 . 8 7 5 4 1 1 2 . 8 0 0 2 . 1 7 . 0 0 . 0 0

2 . 4 4 8 2 3 0 5 . 1 4 5 4 1 5 3 . 2 0 0 2 . 2 9 . 00 . 0 0

2 . 4 7 5 2 3 0 0 . 4 9 5 4 1 6 2 . 8 0 0 2 . 2 1 . 00 . 0 0

2 . 501 2 2 9 5 . 7 6 5 4 1 5 3 . 2 0 0 2 . 3 1 . 0 0 . 00

2 . 52 7 2 2 9 1 . 1 1 5 4 1 3 2 . 8 0 0 2 . 2 5 . 00 . 00

2 . 553 2 2 8 6 . 3 8 5 4 1 0 3 . 7 0 0 2 . 33 . 0 0 . 00

2 . 57 9 2 2 8 1 . 7 2 5 4 0 4 2 . 8 0 0 2 . 3 0 . 00 . 00

2 . 6 0 5 2 2 7 7 . 0 0 5 3 9 8 3 . 7 0 0 2 . 3 5 . 00 . 0 0

2 . 6 3 2 2 2 7 2 . 34 5 3 8 9 2 . 800 2 . 3 5 . 00 . 0 0

2 . 6 5 8 2 2 6 7 . 6 2 5 3 9 4 3 . 7 0 0 2 . 37 . 00 . 0 0

2 . 6 8 4 2 2 6 2 . 96 5 4 0 0 2 . 800 2 . 4 0 . 00 . 0 0

2 . 7 1 0 2 2 5 8 . 2 4 5 3 9 9 3 . 7 0 0 2 . 40 . 00 . 0 0

2 . 7 3 4 2 2 5 4 . 3 5 5 4 0 1 2 . 8 0 0 2 . 2 8 . 00 . 0 0

2 . 7 5 8 2 2 5 0 . 3 8 5 3 9 8 3 . 7 0 0 2 . 43 . 00 . 00

2 . 7 8 2 2 2 4 6 . 4 9 5 3 9 6 2 . 8 0 0 2 . 33 . 00 . 00

2 . 806 2 2 4 2 . 5 2 5 3 9 1 3 . 7 0 0 2 . 4 5 . 0 0 . 00

2 . 83 0 2 2 3 8 . 6 2 5 3 8 6 2 . 80 0 2 . 3 9 . 0 0 . 00

2 . 8 5 4 2 2 3 4 . 6 6 5 3 7 7 3 . 70 0 2 . 4 9 . 0 0 . 00

2 . 878 2 2 3 0 . 76 5 3 7 9 2 . 80 0 2 . 4 4 . 00 . 00

2 . 902 2 2 2 6 . 9 0 5 36 3 3 . 70 0 2 . 52 . 0 0 . 00

2 . 926 2 2 2 2 . 8 9 5 3 8 6 2 . 80 0 2 . 50 . 0 0 . 00

2 . 9 5 0 2 2 1 8 . 9 3 5 3 8 6 3 . 7 0 0 2 . 56 . 00 . 00

2 . 974 2 2 1 5 . 0 3 5 3 8 7 3 . 1 0 0 2 . 56 . 00 . 00

2 . 99 8 2 2 1 1 . 07 5 3 8 4 3 . 7 0 0 2 . 63 . 00 . 00

3 . 02 2 2 2 0 7 . 1 7 5 3 8 2 3 . 1 0 0 2 . 63 . 00 . 00

3 . 046 2 2 0 3 . 2 1 5 3 7 6 3 . 7 0 0 2 . 72 . 00 . 00

3 . 07 0 2 1 9 9 . 3 1 5 3 6 9 3 . 1 0 0 2 . 70 . 00 . 00

3 . 093 2 1 9 5 . 2 3 5 3 6 3 3 . 7 0 0 3 . 00 . 00 . 0 0

3 . 1 1 6 2 1 9 1 . 2 1 5 3 6 5 3 . 1 0 0 2 . 77 . 00 . 0 0

3 . 1 3 9 2 1 8 7 . 1 3 5 3 7 0 3 . 7 0 0 3 . 10 . 00 . 0 0

3 . 162 2 1 8 3 . 1 2 5 3 7 1 3 . 100 2 . 64 . 00 . 0 0

3 . 1 8 5 2 1 7 9 . 0 4 5 3 7 4 3 . 7 0 0 3 . 19 . 00 . 0 0

3 . 2 0 8 2 1 7 5 . 0 2 5 3 7 2 3 . 100 2 . 92 . 00 .003.231 2 1 7 0 . 9 4 5 3 7 2 3 . 7 0 0 3 . 2 9 .00 .003 .254 2 1 6 6 . 93 5 3 6 9 3 . 100 3 . 00 .00 .003 .277 2 1 6 2 . 65 5 3 6 5 3 . 7 0 0 3 . 4 1 .00 .003 . 3 0 0 2 1 5 8 . 8 3 5 3 5 8 3 . 100 3 . 09 . 00 . 00


215


Structure

DAMBRKDownstream

Length(mi)

DAMBRKMaximumDischarge

(cfs)W s/W c

(ft/ft)

DAMBRKStructureDischarge

(cfs)

13A 3.093 5365 0.1055 566

13B 3.093 5365 0.1055 566

14 2.950 5386 0.0985 531

15 2.854 5377 0.0878 472

16 2.806 5391 0.0971 524

17 2.710 5399 0.1490 804

18 2.684 5394 0.2048 1105


APPENDIX V

MODIFIED-FEMA MODEL CALCULATONS

In the modified-FEMA model developed by French (1992), in addition to the FEMA

equation (FEMA, 1990a), a second term is added to account for the distance

between peaks in berms along the alignment length. The modified equation (1)

becomes

Pz (1)

where T = return period, in years; P = 9.41 in the FEMA single-channel region and

3 = 35.8 in the FEMA multiple-channel region; A = the avulsion coefficient, assumed

to be 1.5; C = the transformation coefficient, defined below; = the alluvial fan

contour length (width) at the drainage segment, in feet; = the length of the

drainage segment, in feet; P, = probability from the transformed LP3 deviate; and

Pj = probability from the untransformed LP3 deviate.

The LP3 untransformed and transformed parameters, including the

LP3 deviates, are calculated using the 100-, 10-, and 2-year discharges at the

1 f PACl P, +

/ \

T i Wj 1

216


217

alluvial fan apex. These parameters are then used to calculate the transformation

coefficient, C.

The LP3 untransformed parameters include the skew coefficient, G, standard

deviation, S, and mean, x.

The untransformed skew coefficient equation (2) is;

-2.5 +3.12 iog(Qioo/Qio)

logtQio/Qj)(2 )

where Qioo = 1 0 0 -year discharge at the alluvial fan apex, 0 , 0 = 1 0 -year discharge

at the alluvial fan apex, and Qz = 2 -year discharge at the alluvial fan apex.

The untransformed standard deviation equation (3) is;

S =iog(Oioo/Qz)

^0.01 ^o.s(3)

where Kq q, = frequency factor for the 1 0 0 -year event, and Kq 5 = frequency factor

for the 2-year event. The frequency factor varies with exceedance probability and

the skew coefficient, and is determined using “Appendix 3: Table o f K Values,"

found in US WRC (1981).

The untransformed mean equation (4) is:

X = lo g (Q ,) - K . , S (4)


218

The LP3 transformed parameters include the skew coefficient, G ,̂ standard

deviation, S ,̂ and mean, z.

The transformed skew coefficient equation (5) is:

G ; = G (5)

The transformed standard deviation equation (6 ) is:

(6)

where Â and a are defined by equations (7) and (8 ), respectively.

(7)

- 0.92 (8 )

The transformed mean equation (9) is:

z = m +1 —a ;

(9)


219

where m is defined by equation (10).

m =x ( 10)

If the untransformed skew coefficient, G, is equal to zero, then the

transformation coefficient equation (11) is:

C = e x p [(0 .9 2 )x + (0 .4 2 )S ^ ] (11 )

If the untransformed skew coefficient, G, is not equal to zero, then the

transformation coefficient equation (12) is:

/ \ a

exp (0 .9 2 m ) ( 12 )

where a is defined by equation (13).

a (13)

To determine P, and P ̂ values, the transformed LP3 deviate, K,, and


(15), respectively.


220

The transformed LP3 deviate equation (14) is;

lo g (Q ) - z

S;(14)

The untransformed LP3 deviate equation (15) is:

log (Q ) - X(15)

After calculating K, and Kz, P, and P; are interpolated from “Appendix 3:

Table o f K Values,” found in US WRC (1981).

Therefore, for a specified discharge, Q, with the untransformed skew

coefficient, G, standard deviation, S, and mean, x, and the transformed skew

coefficient, G ,̂ standard deviation, S ,̂ and mean, z, known, the probabilities,

P, and Pz, can be calculated by determining the transformed and untransformed

LP3 deviates, K, and K,, respectively, associated with the probabilities. The

LP3 parameters are included in equation (1) to solve for the return period.

Modified-FEMA model calculations were performed using the information in

the next three tables. Table 42 contains discharge and statistical information for

each alluvial fan. Table 43 contains information for each drainage structure used

in the study. Table 44 contains calculation values necessary to determine the

Modified-FEMA 100-year structure discharges.


221

Table 42. Discharge and statistical information for each alluvial fan (discharges in cfs).

FAN Qioo Qio Q: P A G s X Gz Sz Z C

UPRR1 13875 1480 91 35.8 1.5 0 0.94 1.96 0 0.94 2.77 8.80

UPRR2 6948 1035 96 9.41 1.5 0 0.80 1.98 0 0.80 2.57 8.12

UPRR3 5685 799 69 35.8 1.5 0 0.82 1,84 0 0.82 2.46 7.24

Table 43. Information for each drainage structure used in the study.

Structure Age(yrs)

w .(ft)

w ,(ft)

Structure Age(yrs)

w .(ft)

Wc(ft)

1 64 2600 42600 12 65 3250 38000

2 64 1400 42600 13A 19 1050 9950

3 66 1200 42000 13B 48 1050 9950

4 64 2300 39600 14 67 1000 10150

5 64 1700 40000 15 67 900 10250

6 62 3200 39000 16 67 1000 10300

7 64 2600 39000 17 67 1550 10400

8 64 1900 39600 18 67 2150 10500

9 64 2100 38000 19 66 2150 8200

10 64 2500 37500 20A 25 3150 8400

11 64 2000 37500 20B 43 3150 8400


222

Table 44. Calculation values necessary to determine the modified-FEMA model 100-year structure discharges (discharges in cfs; return period in years).

Structure Q Ki Pi K: P: 1/T T

1 1440 0.4132 0.3410 1.2749 0.1015 0.0100 100.2

2 845 0.1669 0.4338 1.0286 0.1575 0.0100 100.0

3 755 0.1148 0.4544 0.9765 0.1693 0.0100 100.2

4 1435 0.4115 0.3416 1.2732 0.1019 0.0100 100.1

5 1115 0.2950 0.3846 1.1567 0.1284 0.0100 100.0

6 2014 0.5681 0.2862 1.4299 0.0796 0.0100 100.0

7 1650 0.4760 0.3178 1.3377 0.0923 0.0100 100.0

8 1161 0.3137 0.3778 1.1754 0.1146 0.0100 100.0

9 1412 0.4041 0.3444 1.2658 0.1036 0.0100 100.0

10 1692 0.4877 0.3136 1.3494 0.0907 0.0100 100.0

11 1387 0.3958 0.3474 1.2575 0.1055 0.0100 100.0

12 2103 0.5881 0.2765 1.4498 0.0768 0.0100 100.0

13A 2040 1.0361 0.1558 1.7922 0.0370 0.0100 100.0

13B 2040 1.0361 0.1558 1.7922 0.0370 0.0100 100.0

14 1948 1.0117 0.1613 1.7678 0.0388 0.0100 100.0

15 1840 0.9815 0.1682 1.7376 0.0412 0.0100 100.0

16 1912 1.0018 0.1636 1.7579 0.0395 0.0100 100.0

17 2330 1.1065 0.1398 1.8626 0.0320 0.0100 100.1

18 2683 1.1812 0.1228 1.9373 0.0266 0.0100 100.0

19 3023 1.1380 0.1326 1.8755 0.0311 0.0100 100.0

20A 3758 1.2562 0.1058 1.9937 0.0228 0.0100 100.0

20B 3758 1.2562 0.1058 1.9937 0.0228 0.0100 100.0


APPENDIX VI

FEMA FAN MODEL OUTPUT FILES

The FEMA FAN model (FEMA, 1990) was used to determine whether each

railroad alignment was in the single- or multiple-channel region of the respective

alluvial fans. On both the UPRR1 and UPRR3 alluvial fans, the railroad alignments

are located in the multiple-channel region of the alluvial fans. On the UPRR2

alluvial fan, the railroad alignment is located in the single-channel region of the

alluvial fan. The output file for each alluvial fan follows.

223


224

Table 45. FEMA FAN output file for the UPRR1 alluvial fan.

UPRRl ALLUVIAL FAN

AVULSION FACTOR = 1.5000

FLOOD FREQUENCY CURVE DEFINED BY LEAST-SQUARES FIT OF DATA

RETURN INTERVAL (YEARS)

INPUT DISCHARGE BEST FIT DISCHARGE (CFS) (CFS)

210

1 00

911480

13845

921460

13951

MEAN = 1.961742STANDARD DEVIATION = 0.938321

SKEW = 0.0

SUMMARY OF DISCHARGES :

10-YEAR DISCHARGE = 146050-YEAR DISCHARGE = 7741


STATISTICS AFTER TRANSFORMATION OF Y=LOG(Q) TO Z=0.810D+LOG(Q)

MEAN OF Z = 2.771753STANDARD DEVIATION = 0.938321

SKEW = 0.000000TRANSFORMATION CONSTANT = 8.798580


225

UPRRl ALLUlflAL FAN PAGE

SINGLE-CHANNEL REGION

PROBABILITY OF DISCHARGE BEING EXCEEDED AT THE

ENERGY DEPTH DISCHARGE APEX BY:(FT) (FT) (CFS) 1.0000

Q 6.4567 Q

WIDTH(FT)

0 . 51 . 52 . 53 . 54 . 5

0 . 3 1 . 0 1. 72 . 33 . 0

49756

27126288

11787

0 .61503 0 . 16920 0 . 06055 0 . 02517 0.01286

0 .87177 0.45479 0.24308 0.14257 0.08575

108245647301817581024


VELOCITY DEPTH DISCHARGE APEX BY;(FT/SEC) (FT) (CFS) 1.0000

Q 6.4567 Q

WIDTH(FT)

0.4 0 . 6 0.91 . 3 1.72 . 2 2 . 8

68238649

1496305957199974

0 .55549 0 .33046 0.18532 0.09845 0.05287 0.02832 0.01570

0.83669 0.66201 0.48294 0.33499 0.22550 0.15255 0.09639

10389822059974159279818851179


226

UPRRl ALLUVIAL FAN PAGE 3

MULTIPLE-CHANNEL REGION

SLOPE = 0.0420000 N-VALUE = 0.0600000


ENERGY DEPTH DISCHARGE APEX BY;(FT) (FT) (CFS) 1.0000

Q 6.4567 Q

WIDTH(FT)

0 . 5 1. 5

0.41.1

4176 9 2 4

0.244260.02275

0 . 56433 0.13243

266276183


VELOCITY DEPTH DISCHARGE APEX BY;(FT/SEC) (FT) (CFS) 1.0000

Q 6.4567 Q

WIDTH(FT)

3 . 54 . 55 . 5

0 . 60 . 81 . 1

123635228127

0.11750 0 . 04581 0.01918

0.36754 0.20493 0.11559

1734296565403


227


UPRR2 ALLUVIAL FAN



RETURN INTERVAL INPUT DISCHARGE BEST FIT DISCHARGE(YEARS) (CFS) (CFS)

2 96 9710 1035 1022

100 6948 6996


SKEW = 0.0

SUMMARY OF DISCHARGES:



STATISTICS AFTER TRANSFORMATION OF Y=LOG(Q) TO Z=0.5882+LOG(Q)

MEAN OF Z = 2.572942 STANDARD DEVIATION = 0.799599



228

UPRR2 ALLUVIAL FAN PAGE




Q 3.8744 Q

WIDTH(FT)

0 . 5 1. 52 . 53 . 5

0 . 3 1 . 01 . 7 2.3

49756

27126288

0.64446 0.13720 0.03564 0.01213

0.86089 0.35244 0.14675 0.06543

986640391682733


VELOCITY DEPTH DISCHARGE APEX BY:(FT/SEC) (FT) (CFS) 1.0000

Q 3.8744 Q

WIDTH(FT)

3 . 54 . 55 . 56 . 57 . 58 . 5

0.4 0 . 60 . 91 . 31. 7 2 . 2

68238649

149630595719

0.57641 0.31279 0.15611 0.07154 0.03095 0.01402

819735971038314228021318707252

93956843439126131510824


229


UPRR3 ALLUVIAL FAN



RETURN INTERVAL INPUT DISCHARGE BEST FIT DISCHARGE(YEARS) (CFS) (CFS)

2 69 6910 799 789

100 5685 5725


SKEW = 0.0

SUMMARY OF DISCHARGES :



STATISTICS AFTER TRANSFORMATION OF Y=LOG(Q) TO Z=0.6244+LOG(Q)

MEAN OF Z = 2 .465666 STANDARD DEVIATION = 0.823797



230

UPRR3 ALLUVIAL FAN PAGE




Q 4.2107 Q

WIDTH(FT)

0 . 5 1.5 2 . 5

0.3 1 . 01. 7

49756

2712

0.57486 0.10509 0.02698

0.82388 0.30854 0.12433

841331511266


VELOCITY DEPTH DISCHARGE APEX BY:(FT/SEC) (FT) (CFS) 1.0000

Q 4.2107 Q

WIDTH(FT)

3.5 0.40 . 6 0 . 91. 3 1. 7 2 . 2

68238649

149630595719

0.50517 0.26059 0 .12345 0 . 05360 0.02308 0 . 0 1 0 0 2

0.77771 0.54306 0.33834 0.19563 0.10989 0.06058

79415545345519981117583


231

UPRR3 ALLUVIAL FAN PAGE 3

MULTIPLE-CHANNEL REGION

SLOPE = 0.0410000 N-VALUE = O.OSOOOOO


ENERGY DEPTH DISCHARGE APEX BY :(FT) (FT) (CFS) 1.0000

Q 4.2107 Q

WIDTH(FT)

0 . 5 0 . 4 443 0.16916 0.41321 16034


VELOCITY(FT/SEC)

DEPTH(FT)

DISCHARGE(CFS)

APEX

Q

BY:1.0000

4.2107 Q

WIDTH(FT)

3 . 5 0.4 808 0.09831 0.29637 115004 . 5 0.6 2301 0 . 03318 0.14401 55825 . 5 0 . 9 5309 0 .01146 0.06598 2484


APPENDIX VII

RISK ANALYSES CALCULATIONS

Calculation value tables are found in the following discussion, which is

provided to explain calculation methods. Table 48 presents discharge and

statistical information for each alluvial fan. Table 49 presents information for each

drainage structure used in the study. Table 50 presents calculation values

necessary to determine the return period associated with the each drainage

structure capacity. Tables 51 and 52 present calculation values necessary to

determine the return period associated with the FL0-2D and DAMBRK model

generated discharges, respectively. Table 53 presents calculation values

necessary to determine the modified-FEMA 100-year structure discharge. Table 54

presents calculation values necessary to determine the exceedance probability for

the drainage structure capacities, FL0-2D and DAMBRK discharges, and the

modified-FEMA modell 00-year structure discharges.

232


233

Table 48. Discharge and statistical information for each alluvial fan (discharges in cfs).

FAN Qioo Qio Q2 P A G s X Gz Sz Z C

UPRRl 13875 1480 91 35.8 1.5 0 0.94 1.96 0 0.94 2.77 8.80

UPRR2 6948 1035 96 9.41 1.5 0 0.80 1.98 0 0.80 2.57 8.12

ÜPRR3 5685 799 69 35.8 1.5 0 0.82 1.84 0 0.82 2.46 7.24

Table 49. Information for each drainage structure used in the study.

Structure Age(yrs)

W.(ft)

W,(ft)

Structure Age(yrs)

w .(ft)

Wc(ft)

1 64 2600 42600 12 65 3250 38000

2 64 1400 42600 13A 19 1050 9950

3 66 1200 42000 13B 48 1050 9950

4 64 2300 39600 14 67 1000 10150

5 64 1700 40000 15 67 900 10250

6 62 3200 39000 16 67 1000 10300

7 64 2600 39000 17 67 1550 10400

8 64 1900 39600 18 67 2150 10500

9 64 2100 38000 19 66 2150 8200

10 64 2500 37500 20A 25 3150 8400

11 64 2000 37500 20B 43 3150 8400


2 3 4

Table 50. Calculation values necessary to determine the return periods associated with thedrainage structure capacities (discharges in cfs; return period in years).

Structure Q K, P, Kz Pz 1/T T

1 550 -0.0315 0.5125 0.8302 0.2036 0.0181 55.2

2 550 -0.0315 0.5125 0.8302 0.2036 0.0124 80.6

3 440 -0.1346 0.5534 0.7271 0.2361 0.0130 76.9

4 880 0.1856 0.4264 1.0473 0.1533 0.0140 71.4

5 880 0.1856 0.4264 1.0473 0.1533 0.1155 86.6

6 440 -0.1346 0.5534 0.7271 0.2361 0.0261 38.3

7 6570 1.1143 0.1380 1.9761 0.0241 0.0033 304.9

8 670 0.0597 0.4763 0.9214 0.1819 0.0144 69.4

9 880 0.1856 0.4264 1.0473 0.1533 0.0138 72.6

10 1850 0.5289 0.2986 1.3906 0.0850 0.0094 106.1

11 990 0.2400 0.4052 1.1017 0.1409 0.0126 79.3

12 550 -0.0315 0.5125 0.8302 0.2036 0.0238 42.1

13A 290 0.0029 0.4988 0.7590 0.2260 0.0433 23.1

13B 130 -0.4220 0.6622 0.3341 0.3702 0.0649 15.4

14 130 -0.4220 0.6622 0.3341 0.3702 0.0618 16.2

15 80 -0.6792 0.7488 0.0769 0.4695 0.0696 14.4

16 80 -0.6792 0.7488 0.0769 0.4695 0.0738 13.5

17 360 0.1174 0.4534 0.8735 0.1928 0.0457 21.9

18 720 0.4846 0.3147 1.2406 0.1093 0.0340 29.4

19 450 0.1040 0.4587 0.8415 0.2000 0.0589 17.0

20A 600 0.2602 0.3975 0.9977 0.1645 0.0671 14,9

20B 1250 0.6586 0.2577 1.3961 0.0842 0 0351 28.5


235

Table 51. Calculation values necessary to determine the return periods associated with theFL0-2D model-generated (discharges in cfs; return period in years).

Structure Q K, P, K. Pz i r r T

1 691 0.0739 0.4707 0.9356 0.1786 0.0161 62.0

2 940 0.2161 0.4145 1.0778 0.1463 0.0094 106.2

3 1015 0.2516 0.4007 1.1133 0.1382 0.0085 117.9

4 1023 0.2552 0.3993 1.1169 0.1374 0.0127 78.5

5 652 0.0471 0.4813 0.9080 0.1849 0.0135 73.9

6 1088 0.2836 0.3888 1.1453 0.1310 0.0155 64.7

7 1312 0.3701 0.3569 1.2318 0.1113 0.0117 85.2

8 1769 0.5082 0.3060 1.3699 0.0878 0.0079 127.3

9 1338 0.3792 0.3536 1.2409 0.1092 0.0104 95.9

10 915 0.2036 0.4194 1.0653 0.1492 0.0152 65.6

11 330 -0.2675 0.6052 0.5942 0.2780 0.0224 44.6

12 26 -1.4415 0.9220 -0.5798 0.7175 0.0728 13.7

13A 684 0.4574 0.3247 1.2135 0.1155 0.0249 40.2

13B 684 0.4574 0.3247 1.2135 0.1155 0.0249 40.2

14 459 0.2461 0.4028 1.0022 0.1635 0.0315 31.7

15 272 -0.0310 0.5123 0.7251 0.2367 0.0402 24.9

16 307 0.0331 0.4869 0.7892 0.2165 0.0394 25.4

17 540 0.3322 0.3709 1.0883 0.1439 0.0353 28.3

18 1006 0.6617 0.2567 1.4178 0.0812 0.0261 38.3

19 3115 1.1543 0.1289 1.8918 0.0299 0.0096 103.7

20A 2924 1.1200 0.1367 1.8570 0.0323 0.0140 71.4

20B 2924 1.1200 0.1367 1.8570 0.0323 0.0140 71.4


236

Table 52. Calculation values necessary to determine the return periods associated with theDAMBRK model-generated (discharges in cfs; return period in years).

Structure Q K, Pi K2 Pz 1/T T

1 782 0.1311 0.4480 0.9928 0.1656 0.0151 66.2

2 421 -0.1550 0.5615 0.7067 0.2425 0.0142 70.5

3 366 -0.2197 0.5869 0.6420 0.2629 0.0142 70.7

4 748 0.1105 0.4561 0.9722 0.1703 0.0153 65.3

5 547 -0.0341 0.5135 0.8276 0.2044 0.0147 67.8

6 1057 0.2703 0.3937 1.1320 0.1340 0,0158 63.4

7 859 0.1745 0.4307 1.0362 0.1558 0.0156 64.1

8 618 0.0223 0.4912 0.8840 0.1904 0.0150 66.7

9 713 0.0884 0.4649 0.9501 0.1753 0.0155 64.7

10 861 0.1755 0.4303 1.0372 0.1555 0.0158 63.3

11 689 0.0726 0.4712 0.9343 0.1789 0.0155 64.6

12 1103 0.2900 0.3865 1.1517 0.1295 0.0159 63.0

13A 566 0.3571 0.3617 1.1132 0.1383 0.0287 34.8

13B 566 0.3571 0.3617 1.1132 0.1383 0.0287 34.8

14 531 0.3233 0.3742 1.0794 0.1460 0.0200 50.0

15 472 0.2609 0.3972 1.0170 0.1601 0.0291 34.4

16 524 0.3163 0.3768 1.0724 0.1475 0.0285 35.1

17 804 0.5430 0.2941 1.2991 0.0976 0.0255 39.2

18 1105 0.7114 0.2411 1.4675 0.0744 0.0242 41.4

19 1636 0.8043 0.2116 1.5422 0.0641 0.0198 50.5

20A 2351 1.0016 0.1636 1.7391 0.0411 0.0176 56.8

20B 2351 1.0016 0.1636 1.7391 0.0411 0.0176 56.8


237

Table 53. Calculation values necessary to determine the modified-FEMA model 100-yearstructure discharges (discharges in cfs; return period in years).

Structure Q K, Pi K: Pz 1/T T

1 1440 0.4132 0.3410 1.2749 0.1015 0.0100 100.2

2 845 0.1669 0.4338 1.0286 0.1575 0.0100 100.0

3 755 0.1148 0.4544 0.9765 0.1693 0.0100 100.2

4 1435 0.4115 0.3416 1.2732 0.1019 0.0100 100.1

5 1115 0.2950 0.3846 1.1567 0.1284 0.0100 100.0

6 2014 0.5681 0.2862 1.4299 0.0796 0.0100 100.0

7 1650 0.4760 0.3178 1.3377 0.0923 0.0100 100.0

8 1161 0.3137 0.3778 1.1754 0.1146 0.0100 100.0

9 1412 0.4041 0.3444 1.2658 0.1036 0.0100 1000

10 1692 0.4877 0.3136 1.3494 0.0907 0.0100 100.0

11 1387 0.3958 0.3474 1.2575 0.1055 0.0100 100 0

12 2103 0.5881 0.2765 1.4498 0.0768 0.0100 100.0

13A 2040 1.0361 0.1558 1.7922 0.0370 0.0100 100.0

13B 2040 1.0361 0.1558 1.7922 0.0370 0.0100 100.0

14 1948 1.0117 0.1613 1.7678 0.0388 0.0100 100.0

15 1840 0.9815 0.1682 1.7376 0.0412 0,0100 100.0

16 1912 1.0018 0.1636 1.7579 0.0395 0.0100 100.0

17 2330 1.1065 0.1398 1.8626 0.0320 0.0100 100.1

18 2683 1.1812 0.1228 1.9373 0.0266 0.0100 100.0

19 3023 1.1380 0.1326 1.8755 0.0311 0.0100 100.0

20A 3758 1.2562 0.1058 1.9937 0.0228 0.0100 100.0

20B 3758 1.2562 0.1058 1.9937 0.0228 0.0100 100.0


238

Exceedance Probabilities

T h e m e th o d o f d e te rm in in g e x c e e d a n c e p ro b a b ility is d e s c rib e d in U S W R C

( 1 9 8 1 ) . T h e e x c e e d a n c e p ro b a b ility e q u a tio n (1 4 ) is

R =1 - 1 ' 1 '

. T ,(14)

w h e re R = e x c e e d a n c e p ro b a b ility fo r o n e o r m o re o c c u rre n c e s ; T = th e re turn

p e rio d , in y e a rs ; a n d N = a g e o f th e s tru c tu re , in y e a rs .


239

Table 54. Calculation values necessary to determine the exceedance probability for thedrainage structure capacities, FL0-2D and DAMBRK discharges, and the modified-FEMAmodel 100-year structure discharges.

StructureCapacity

FL0-2D DAMBRK Modified-FEMA

Structure Age I R T R I R T Ryrs % yrs % yrs % yrs %

1 64 55.2 69.0 62.0 64.7 66.2 62.3 100.2 47.4

2 64 80.6 55.0 106.2 45.4 70.5 59.9 100.0 47.4

3 66 76.9 57.8 117.9 43.0 70.7 60.9 100.2 48.5

4 64 71.4 59.5 78.5 55.9 65.3 62.8 100.1 47.4

5 64 86.6 52.4 73.9 58.2 67.8 61.4 100.0 47.4

6 62 38.3 80.6 64.7 61.9 63.4 82.2 100.0 46.4

7 64 304.9 19.0 85.2 53.0 64.1 63.4 100.0 47.4

8 64 69.4 60.5 127.3 39.6 66.7 61.9 100.0 47.4

9 64 72.6 58.8 95.9 48.9 64.7 63.1 100.0 47.4

10 64 106.1 45.5 65.6 62.6 63.3 63.9 100.0 47 4

11 64 79.3 55.6 44.6 76.6 64.6 63.1 100.0 47.4

12 65 42.1 79.0 13.7 99.3 63.0 64.7 100.0 48.0

ISA 19 23.1 56.9 40.2 38.2 34.8 42.5 100.0 17 4

13B 48 15.4 96.0 40.2 70.3 34.8 75.3 100.0 38.3

14 67 16.2 98.6 31.7 88.1 50.0 74.2 100.0 49.0

15 67 14.4 99.2 24.9 93.5 34.4 86.2 100.0 49.0

16 67 13.5 99.4 25.4 93.5 35.1 85.6 100.0 49.0

17 67 21.9 95.6 28.3 91.3 39.2 82.3 100.1 49.0

18 67 29.4 90.2 38.3 83.3 41.4 80.6 100.0 49.0

19 66 17.0 98.2 103.7 47.2 50.5 72.9 100.0 48.5

20A 25 14.9 82.4 71.4 29.9 56.8 35.9 100 0 22.2

20B 43 28.5 78.5 71.4 47.7 56.8 53.4 100.0 35.1


APPENDIX VIII

RAILROAD MAINTENANCE RECORDS: LETTERS

Union Pacific maintenance records for the railroad alignment crossing the

UPRR2 alluvial fan indicate that drainage structure 20A suffered major flood

damage on July 23, 1946. However, a letter dated August 27, 1946, states that on

three recorded occasions, water has gone over the railroad embankment at the

location of drainage structure 20 due to insufficient drainage structure capacity. A

previous letter, dated May 26, 1937, quotes a January 20, 1933 letter, stating that

on two occasions, the drainage structure proved to have insufficient capacity. There

is no mention in the maintenance record of these previous two events.

The original drainage structure at this location, 20A, with a capacity of 600

cfs, was in place for 25 years. The exceedance probability of drainage structure

20A is 80.5 percent, suggesting that, as the maintenance records indicate, damage

should have occurred. A replacement drainage structure, 20B, with a capacity of

1250 cfs, has been in place for 43 years. The exceedance probability of drainage

structure 20B is 76.1 percent, suggesting that this structure also should have been

damaged. However, there is no indication in the maintenance records that any

240


241

damage has occurred. The letters dated August 27, 1946, and May 26, 1937,

letters follow.


242

- A i^ u s t 27 , 1946.

B 8 E ,7 8 - L . A . D l v n .

k'j’ . P . J . lo rn o h - O m aha, , j p j j

(o o - K r , r , C , f a u l t a n - B a l t L a k a ) , AUG 2 7 1946

R a f a r r l n g t o K r« N u . l a t Q * s l a t t o r o f A u g u a t 2 2 n d r e

g a r d i n g f l o o d d a n a g o a t M . f , 6 8 2 , 7 8 L o s A n g e le s D i v i s i o n M a in

L in o a t D o t c r t ,

A t t h e t im e o f o r i g i n a l o o n s t r u o t i o n o f S P - IA U S L s

4 - n p a n t r ^ n t l e w as p r o v id e d a t t h i s l o o a t l o n . T h i s s t r u c t u r e

v u s r e t a i n e d I n e o r v l o s u n t i l 1 9 2 2 v h e o r e p l a o e d h x a p o rm a n o n t

s t r u o t u r o o o n e l a t l n g o f t h r e e l i n e s o f 4 9 " r s l n f o r o c d c o n c r e t e

p l p o . W o rk o f p l a c i n g t h e s e p i p e s w as h a n d le d b y o o n t r a c t a n d

11. ' p r o p e r l y d o n o so t h a t d u r i n g t h e p a s t t w e n t y - t h r e e y e a r s t r o u b l e

t i A B b e e n e x p s r l e n o e d o n s s T s r s l o o o a s lo n s d u e t o w a t e r f l o w i n g

t h r o u g h o a b a n k x e n t . On t h r e e o e o a s lo n # , o f . v h l o h we h a v e r e c o r d ,

« a t e r h a s g o n e o v e r e m b an k m e n t d u e , t e I n s u f f i c i e n t o p e n in g .

I n 1 9 3 8 a u t h o r i t y w as r e c e i v e d u n d e r d o r k O r d e r 1 0

t o r e p l e o e t h e s e t r i p l e p i p e s w i t h a 8 0 * . I - b e a m s p a n . P la n s

w e re p r e p a r e d a n d m a t e r i a l s o r d e r e d , b u t w o r k w a s n e v e r d o n e

a n d w orlc o r d e r o a n o e l l t d ,

T t h c r . i f b r e o on o u r I n O e n a rs L l M a n a g e r 's re c o m m e n d a

t i o n t i i n t I t e m b e In c l u d e d 1 n 1 9 4 7 b u d g e t f o r r e p la o e m o n t o f

t h o s e t r i p l e p i p e s w i t h a l a r g e r o p e n i n g , R e o o o n s n d a t lo n a s

m ade In 1 0 3 2 s h o u ld b e l a o d l f l e d t o p r o v i d e a b a l l a s t d e c k s p a n

i ; i l i e u o f o p e n d e c k I n a o o o rd a n o o w i t h C S - U O , t i l l a r r o n g e to

p l o c o I n 19 4 7 b u d g e t .

3. 0. Perkins.


243

L 1 4 8 L B r . 2 3 3 . 7 8

O m aha , H e b r . - M ay 3 6 , 1 9 3 7

B r id g e I n a p o o t o r - S a l t L a k eU r . L , P . D re w ^

In th e 1935 In a p e o tlo n n o te a you have an Ite m w h ich rea ds as fo l lo w s :

■ I t c u lv e r t M .P . 23 3 .7^ lo c a te d n e a r D e s e rt,O a l l f , P re se n t c u lv e r t t r i p l e 4 2 ' x 4 6 ' R .O . p ip e u n d e r two t ra c k s . P ip es to o s h o r t and p o o r ly bedded - w a te r goes th r u f i l l . Recommend oon- o re te head w a lls bo th ends*.

Th e r e o o r d I n t h i s o f f i c e s h o w in g 'O o m p l o t io n R e p o r t " I n f o r m a t i o n , f o r m 4 9 0 7 - T h is s t r u c t u r e w a s i n s t a l l e d i n 1 9 3 4 u n d e r W . 0 , 4 6 7 8 a t a c o s t o f $ 1 6 7 0 .4 3 c h a r g e a b le t o A c c o u n t6 , o f w h ic h $360.36 w as c h a r g e d t o c o n e t r u q t i n g 33*3 o u b lcy a r d s o f p l a i n o o n c r e t e h e a d w a l l s . T o u r r e c o m m e n d a t io n m akes no m e n t io n o f t h e p r e s e n t s t r u c t u r e h a v in g h e a d w a l l s .

I n 1939 t h e r e ' was a n i t e m i n t h e b u d g e t , w h ic h s u b s e q u e n t ly w as a p p r o v e d , t o p l a o e 2 0 ! I beam o n c o n c r e t e a b u tm e n ts a t t h i s l o o a t l o n . L a t e r t h e w o rk o r d e r c o v e r i n g t h i s w o rk w as o a n o e l l e d .

On Jan ua ry 20 , 1933 we had copy o f y o u r l e t t e rB , E . P r a te r , re a d in g I n p a r t as fo l lo w s :

■ In o r d e r t o m ake a s a t i s f a c t o r y jo b t h e s e p ip e ss h o u ld be c o m p le t e ly d u g o u t a n d s p r e a d f u r t h e r a p a r t ,p r o p e r l y b e d d e d , t h e n on e e n d w a l l , b o t h u p a n d dow n t h e s t r e a m s h o u ld b e c o n s t r u c t e d I n o r d e r t o p r e v e n t w a t e r r u n n in g t h r u t h e f i l l , w h ic h I s o f lo o s e g r a v e l .

On tw o o c c a s io n s o f r e o o r d I r e c a l l when t h e s e p i p e s p r o v e d o f i n s u f f i c i e n t c a p a c i t y a n d . e v e n th o u g h t h e p ip e s w e re p r o p e r l y l a i d a n d h e a d w a l l s c o n s t r u c t e d c a p a c i t y w o u ld s t i l l b e i n s u f f i c i e n t t o h a n d l e . ■

v' A r r a n g e t o m ake a o ç m p le te s i t u a t i o n s u r v e y a t t h i sl o c a t i o n s h o w in g t h e c o n d l t i o f l é w h ic h e x i s t a t t h i s c u l v e r ta t t h e p r e s e n t t i m e , I n d i c a t i n g w h e t h e r c o n c r e t e h e a d w a l l sw e re p u t o n t h i s s t r u c t u r e a s o u t l i n e d I n t h e c o m p le t io n r e p o r t a n d th e d r a in a g e a r e a , r u n o u t a n d f u r n i s h o t h e r p e r t i n e n t d a t a . M a k e s t u d y to d e t e r m in e b e s t p o s s i b l e m eans o f r e m e d y in g t h e d r a in a g e s i t u a t i o n a t t h i s p S l n t .

C o n c r e t e h e a d w a l l w o rk s c h e d u le d f o r J u l y 3 1 s t

t o U r


REFERENCES

Bull, W.B., 1991. Geomorphic Responses to Climatic Change: New York, New York, Oxford University Press, 326 p.

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