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Watershed level Risk Analysis with HEC-WAT 01 May 2019 Rockville, MD Will Lehman, Economist Hydrologic Engineering Center Institute for Water Resources US Army Corps of Engineers BUILDING STRONG ® www.hec.usace.army.mil 1
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Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

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Page 1: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Risk Management

Center

Watershed level Risk Analysis with HEC-WAT

01 May 2019Rockville, MD

Will Lehman, EconomistHydrologic Engineering CenterInstitute for Water Resources

US Army Corps of EngineersBUILDING STRONG®www.hec.usace.army.mil 1

Page 2: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

What is HEC-WAT?

■ Provides a plug-in architecture to allow other computational models to be computed in the program sequence

■ Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange.

■ Supports systems and watershed-based studies.

■ Supports risk and uncertainty evaluations.

2

Page 3: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

What is HEC-WAT?

■ Provides a plug-in architecture to allow other computational models to be computed in the program sequence

■ Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange.

■ Supports systems and watershed-based studies.

■ Supports risk and uncertainty evaluations.

HEC- WAT INTEGRATES

3

Page 4: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

What is HEC-WAT?

■ Provides a plug-in architecture to allow other computational models to be computed in the program sequence

■ Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange.

■ Supports systems and watershed-based studies.

■ Supports risk and uncertainty evaluations.

HEC- WAT INTEGRATES

HEC- WAT Facilitates Evaluation

4

Page 5: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

HEC- WAT INTEGRATES

5

Page 6: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Plug-in Architecture

HEC-WAT Manages the computes through plug-ins Plug-ins interact

with each other through a centralized database

6

Database

1. Compute

7. Read Input

8. Write Output

Repeat!

Page 7: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

HEC-WAT Model Integration Models and tools that implement the Plugin Interface can contribute to the

computational process

● Hydrology - HEC-HMS ● Reservoirs - HEC-ResSim● Hydraulics - HEC-RAS ● Economics - HEC-FIA

Communication is defined by the Plugin API and facilitated by HEC-WAT

Data is transferred through a common DSS file.

HEC-WAT Framework

HEC-WATSimulation

With DefaultProgram

Order

HEC-ResSim Plug-In

HEC-RAS Plug-In

HEC-HMS HEC-ResSim HEC-RAS HEC-FIA

HEC-HMS Plug-In

HEC-FIA Plug-In

Model Results (simulation.dss)

7

Page 8: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Load Distribution & Consequences

Yakima River

KennewickBurbank

Pasco

Richland

WestPasco

Ice Harbor

Priest Rapids

Li

Cn

Cn+1

Oct Dec Feb Apr Jun Aug Oct1947 1948

10

15

20

25

30

35

40

45

50Plan: BaseCondit:Event1948:RAS-Reach1 River: Columbia Reach: RM 143-Bonn RS: 145.86

Time

Sta

ge

(ft)

Legend

Stage

Qi

Qo

8

Page 9: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

HEC- WAT Facilitates Evaluation

9

Page 10: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

HEC-WAT Workflow

■ Import existing models or develop models from within HEC-WAT

■ Develop alternatives

■ Organize & store data

■ Edit models – accessed via plug-ins to view Native model interfaces

■ Run modeling software – via plug-ins

■ View and compare alternative results

10

Page 11: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

HEC-WAT Interface

Map Window

Content Pane

Message Pane

Study Pane

Display Pane

11

Page 12: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

12

Development of HEC-WAT Model

Page 13: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

13

ResSim Models

Development of HEC-WAT Model

Page 14: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

14

ResSim Models

FIA Models

Development of HEC-WAT Model

Page 15: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

15

ResSim Models

RAS Models

FIA Models

Development of HEC-WAT Model

Page 16: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Model Linking

HEC-ResSim Links

HEC-RAS Links

16

Page 17: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Hydrologic Modeling (HEC-HMS)

Reservoir Analysis (HEC-ResSim)

River Hydraulics (HEC-RAS)

Consequence Analysis (HEC-FIA)

Deterministic Compute

■ Single Flood Event● Example: 8 January 1986

to 13 January 1986● Simplest type of compute● Eliminates manual

handoffs between models

■ Period of Record● Example: 1 October 1943

to 30 September 2014● Slightly more complex

compute

17

Page 18: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

FRA Simulations ■ FRA simulations uses a Monte

Carlo style compute to support risk analyses.

■ Individual applications sample model parameters from a range of values to capture uncertainty.

■ Natural variability and knowledge uncertainty sampled separately.

■ Maintains consistency between alternatives by allowing use of same initial seeds.

18

Page 19: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

How do we capture a distribution of uncertainty in EAD?

Nested Monte Carlo: A. Sample instances of natural variabilities as flood

events, with enough events to capture the distribution of damage

B. Sample instances of knowledge uncertainties in model parameters to get their impact on the damage distribution

inner loop A varies natural variabilities, computes EAD

A Bouter loop B varies knowledge uncertainty, computes EAD distribution

1 outer loop B = a realization

HEC-WAT/FRA

19

Page 20: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and UncertaintyNested Monte Carlo Simulation sample new

frequency curve (uncertainty)

sample uncertain model parameters

Peak

Flow

(cfs)

CDF

20

Page 21: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and Uncertainty

One Event: sample member i

Nested Monte Carlo Simulation

sample variabilities

sample new frequency curve (uncertainty)

sample uncertain model parameters

Peak

Flow

(cfs)

CDF and then sample events (variability)

21

Page 22: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and Uncertainty

One Event: sample member i

Nested Monte Carlo Simulation

sample variabilities

sample new frequency curve (uncertainty)

sample uncertain model parameters

Peak

Flow

(cfs)

CDF and then sample events (variability)

22

Page 23: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and Uncertainty

One Event: sample member i

Nested Monte Carlo Simulation

sample variabilities

sample new frequency curve (uncertainty)

sample uncertain model parameters

Peak

Flow

(cfs)

CDF and then sample events (variability)

23

Page 24: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and Uncertainty

One Event: sample member i

Nested Monte Carlo Simulation

sample variabilities

sample new frequency curve (uncertainty)

sample uncertain model parameters

For each realization, get an EAD estimate:

…still end with a sample of damages

One Realization

Peak

Flow

(cfs)

CDF and then sample events (variability)

24

Page 25: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Exceedance Probability1 0

Sampling Variability and Uncertainty

One Event: sample member i

Nested Monte Carlo Simulation

sample variabilities

sample new frequency curve (uncertainty)

sample uncertain model parameters

For each realization, get an EAD estimate:

…still end with a sample of damages

One Realization

Peak

Flow

(cfs)

CDF

After repeating for many realizations:

and then sample events (variability)

25

Page 26: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

0

0.1

0.2

0.3

0.4

0.5

0.6

025

0,00

050

0,00

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01,

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tive

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Annual Damage ($)

sample of annual damage from one realization(spans natural variability)provides 1 estimate of EAD

mean = average = EAD

Annual Damages

A

26

Page 27: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

0

0.1

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Rela

tive

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y

Average Damage (EAD) $

100 realizations

sample of annual damage from one realization(spans natural variability)provides 1 estimate of EAD

mean = average = EAD

Annual Damages

A B

27

Page 28: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

0

0.1

0.2

0.3

0.4

0.5

0.6

025

0,00

050

0,00

075

0,00

01,

000,

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1,25

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1,75

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0,00

06,

000,

000

Rela

tive

Freq

uenc

y

Annual Damage ($)

0

5

10

15

20

25

30

35

40

025

0,00

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0,00

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0,00

01,

000,

000

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000

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000

2,75

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03,

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000

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000

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000

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0,00

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000

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0,00

05,

000,

000

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0,00

05,

500,

000

5,75

0,00

06,

000,

000

Rela

tive

Freq

uenc

y

Average Damage (EAD) $

100 realizations

sample of annual damage from one realization(spans natural variability)provides 1 estimate of EAD

mean = average = EAD

sample of mean damage (EAD) from all realizations(spans knowledge uncertainty)provides distribution of EAD

Annual Damages

A B

28

Page 29: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

0

0.1

0.2

0.3

0.4

0.5

0.6

025

0,00

050

0,00

075

0,00

01,

000,

000

1,25

0,00

01,

500,

000

1,75

0,00

02,

000,

000

2,25

0,00

02,

500,

000

2,75

0,00

03,

000,

000

3,25

0,00

03,

500,

000

3,75

0,00

04,

000,

000

4,25

0,00

04,

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000

4,75

0,00

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000,

000

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0,00

05,

500,

000

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0,00

06,

000,

000

Rela

tive

Freq

uenc

y

Annual Damage ($)

0

5

10

15

20

25

30

35

40

025

0,00

050

0,00

075

0,00

01,

000,

000

1,25

0,00

01,

500,

000

1,75

0,00

02,

000,

000

2,25

0,00

02,

500,

000

2,75

0,00

03,

000,

000

3,25

0,00

03,

500,

000

3,75

0,00

04,

000,

000

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0,00

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500,

000

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000,

000

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0,00

05,

500,

000

5,75

0,00

06,

000,

000

Rela

tive

Freq

uenc

y

Average Damage (EAD) $

100 realizations

sample of annual damage from one realization(spans natural variability)provides 1 estimate of EAD

mean = average = EAD

sample of mean damage (EAD) from all realizations(spans knowledge uncertainty)provides distribution of EAD

Annual Damages

EAD estimates

A B

29

Page 30: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

.5.99 .95 .9 .75 .25 0.1 .05 .011000

10000

100000

1000000

est. probability of exceedance

peak

ann

ual f

low

(cfs

)

Curves estimated from 30 data points

Uncertainty in a frequency curve estimated from 30 years

of data

30

Page 31: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®31

.5.99 .95 .9 .75 .25 0.1 .05 .011000

10000

100000

1000000

est. probability of exceedance

peak

ann

ual f

low

(cfs

)

Curves estimated from 60 data points

Uncertainty in a frequency curve estimated from 60 years

of data

Page 32: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Concept behind event sampling

1 0Exceedance probability

1 0Exceedance probabilitystage

stageDamage Damage

FlowFlow

32

Page 33: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Concept behind event sampling

1 0Exceedance probability

1 0Exceedance probabilitystage

stageDamage Damage

FlowFlow

33

Page 34: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Concept behind event sampling

1 0Exceedance probability

1 0Exceedance probabilitystage

stageDamage Damage

FlowFlow

34

Page 35: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Concept behind event sampling

1 0Exceedance probability

1 0Exceedance probabilitystage

stageDamage Damage

FlowFlow

35

Page 36: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Concept behind event sampling

1 0Exceedance probability

1 0Exceedance probabilitystage

stageDamage Damage

FlowFlow

This results in one event. Rinse and repeat.

36

Page 37: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

37

Page 38: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

. ..

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

38

Page 39: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

. ...

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

39

Page 40: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

. ...

. .. ......

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

40

Page 41: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

. ...

. .. ....... ..

..

....

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

41

Page 42: Watershed level Risk Analysis with HEC-WAT Risk Management · 2020. 12. 26. · Integrates HEC-HMS, HEC-ResSim, HEC-RAS and HEC-FIA models, eliminating manual data exchange. Supports

BUILDING STRONG®

Damages

. ...

. .. ....... ..

..

..... ... . ...

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

42

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BUILDING STRONG®

Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ....

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

43

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Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ...... .... .

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

44

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BUILDING STRONG®

Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ...... .... .

... . ...

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

45

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Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ...... .... .

... . ...

.Number of events

Average of event

damages

EVENT SAMPLING

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

46

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Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ...... .... .

... . ...

.Number of events

Average of event

damages

EVENT SAMPLING

EAD

Annual exceedance probability (for the hydrology)01

Running Average

DAMAGES

COUNT

47

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Damages

. ...

. .. ....... ..

..

..... ... . ...... .. ...... .... .

... . ...

.Number of events

Average of event

damages

EVENT SAMPLING

EAD

Annual exceedance probability (for the hydrology)01

Running Average

^

DAMAGES

COUNT Distribution of Annual

Damages

EAD^

48

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American River Insurance Study For stability a 2D channel was linked to a 2D overbank area

through a 2D SA connection. Two connections were set to breach Model development took approximately 8 hours

..

49

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Hydrologic Sampler Events

50

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Hydrologic Sampler Events

51

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Hydrologic Sampler Events

52

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Hydrologic Sampler Events

53

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54

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HEC-RAS output by event

55

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AEP Per Structure

56

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EAD Per Structure

57

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59

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Conclusion

■ HEC-WAT/FRA is a planning and evaluation tool that conducts risk assessments in a systems context.

■ It includes systems approaches, event sampling, alternative analyses, structural and non-structural analyses, Life Loss, agricultural damage analyses.

■ Is being used nationwide for dam and levee evaluations and assessments, and planning and design studies.

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QUESTIONS?

US Army Corps of EngineersBUILDING STRONG®

www.hec.usace.army.mil