-
CONTENTS
1 INTRODUCTION1.1 Reserves Estimation1.2 Development Planning1.3
Production Operations Optimsation
2 RESERVOIR ENGINEERING TECHNIQUES
3 RESERVE ESTIMATING3.1 Definitions3.2 Proven Reserves3.2.1
Exercises - Reserve Definitions3.3 Unproved Reserves3.3.1 Probable
Reserves3.3.2 Possiible Reserves3.4 Reserve Status Categories3.4.1
Developed:3.4.1.1 Producing3.4.1.2 Non-producing:3.4.2 Undeveloped
Reserves:
4 PROBABILISTIC REPRESENTATION OFRESERVES
5 VOLUME IN - PLACE CALCULATIONS5.1 Volume of Oil and Gas
in-Place5.2 Evolution of Reserve Estimate5.3 Reservoir Area5.4
Reservoir Thickness5.5 Reservoir Porosity5.6 Water Saturation5.7
Formation Volume Factors5.8 Recovery Factors5.9 Production
Capacity5.10 Hydrocarbon Pore Volume Map
6 OTHER APPRAISAL ROLES
7 DEVELOPMENT PLANNING7.1 Reservoir Modelling7.2
Technoconomics7.3 Coping with Uncertainty
8. PRODUCTION OPERATIONS OPTIMISATION8.1 Development Phase8.2
History Matching8.3 Phases of Development
11Introduction To Reservoir Engineering
9. THE UNIQUENESS OF THE RESERVOIR
10. CONCLUSIONS
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2
LEARNING OBJECTIVES
Having worked through this chapter the Student will be able
to:
Show using a block diagram the integration of reservoir
engineering with otherpetroleum engineering and other subjects.
Define the SPE definitions of reserves; proven reserves,
unproved reserves;probable reserves and possible reserves.
Calculate given the prerequisite data proved, probable and
possible reserves.
Describe in general terms reserve estimation.
Sketch a diagram showing the probability versus recoverable
reserves indicating,proven, proven + probable and proven + probable
+ possible reserves.
Present a simple equation for volumes of oil and gas
in-place.
Describe in general terms the evolution of reserves through
successiveexploration wells.
Describe briefly with the aid of a sketch the various maps used
to representreservoir; area, thickness porosity, saturation.
Describe briefly the use of the production (well0 test to
determine reservoirflowability and properties.
Describe briefly the various elements of development planning:
reservoirmodeling technoeconomics and uncertainty.
Illustrate with a sketch the impact of different technical
parameters on theassociated uncertainties on a project.
Describe in general terms in the context of production
operations, optimizationin history matching.
Draw a sketch showing the various phases of production from
build up toeconomic limit.
Draw a sketch illustrating the various recovery scenarios from
primary totertiary recovery.
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
1 INTRODUCTION
With the petroleum industrys desire to conserve and produce oil
and gas moreefficiently a field of specialisation has developed
called Petroleum ReservoirEngineering. This new science which can
be traced back only to the mid 1930s hasbeen built up on a wealth
of scientific and practical experience from field andlaboratory. In
the 1959 text of Craft & Hawkins1 on Applied Reservoir
Engineeringit is commented that as early as 1928 petroleum
engineers were giving seriousconsideration to gas-energy
relationships and recognised the need for more preciseinformation
concerning physical conditions as they exist in wells and
undergroundreservoirs. Early progress in oil recovery methods made
it obvious that computationsmade from wellhead or surface data were
generally misleading. Dake2, in his text"The Practise of Reservoir
Engineering", comments that Reservoir Engineeringshares the
distinction with geology in being one of the underground sciences
of theoil industry, attempting to describe what occurs in the wide
open spaces of thereservoir between the sparse points of
observation - the wells
The reservoir engineer in the multi-disciplinary perspective of
modern oil and gasfield management is located at the heart of many
of the activities acting as a centralco-ordinating role in relation
to receiving information processing it and passing it onto others.
This perspective presented by Dake2 is shown in the figure
below.
ExplorationGeophysics/Geology
Petrophysics
Reservoir Engineering
Economics(Project viability)
General EngineeringPlatform Topsides Design
ProductionProcess Egineering
Dake2 has usefully specified the distinct technical
responsibilities of reservoirengineers as:
Contributing, with the geologists and pertophysicists , to the
estimation ofhydrocarbons in place.
Determining the fraction of discovered hydrocarbons that can be
recovered. Attaching a time scale to the recovery. Day-to-day
operational reservoir engineering throughout the project
lifetime.
Figure 1.
Reservoir Engineering in
Relation to Other Activities
(adapted Dake2)
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4
The responsibility of the first is shared with other disciplines
whereas the second isprimarily the responsibility of the reservoir
engineer. Attaching a time scale torecovery is the development of a
production profile and again is not an exclusiveactivity. The
day-to-day operational role is on going through the duration of
theproject.
A project can be conveniently divided into two stages and within
these the aboveactivities take place, the appraisal stage and the
development phase. The appraisalphase is essentially a data
collection and processing phase with the one objective
ofdetermining the viability of a project. The development phase
covers the remainingperiod if the project is considered viable from
the time continuous productioncommences to the time the field is
abandoned. Reservoir engineering activity invarious forms takes
place during both of these stages.
The activities of reservoir engineering fall into the following
three general categories:
(i) Reserves Estimation(ii) Development Planning(iii) Production
Operations Optimisation
1.1 Reserves EstimationThe underground reserves of oil and gas
form the oil companys main assets.Quantifying such reserves forms
therefore a very important objective of the practisingreservoir
engineer but it is also a very complex problem, for the basic data
is usuallysubject to widely varying interpretations and on top of
that, reserves may be affectedsignificantly by the field
development plan and operating practice. It is an on-goingactivity
during, exploration, development planning and during production. It
isclearly a key task of the appraisal phase for it is at the heart
of determining projectviability.
Before any production has been obtained, the so-called
volumetric estimate ofreserves is usually made. Geological and
geophysical data are combined to obtaina range of contour maps with
the help of a planimeter and other tools the hydrocarbonbearing
rock volumes can be estimated. From well log petrophysical
analysis,estimates of an average porosity and water saturation can
be made and when appliedto the hydrocarbon rock volume yield an
estimate of oil in place (STOIIP). Since itis well known that only
a fraction of this oil may in fact be recoverable, laboratorytests
on cores may be carried out to estimate movable oil. The reserve
estimate finallyarrived at is little more than an educated guess
but a very important one for itdetermines company policy.
In 1987 the Society of Petroleum Engineers in collaboration with
the World PetroleumCongress published definitions with respect to
reserves and these are now acceptedworld-wide 3. These definitions
have been used in the summary of reserve definitionswhich
follow.
1.2 Development PlanningOilfield development, particularly in
the offshore environment, is a front loadedinvestment. Finance has
to be committed far in advance not only of income guaranteed
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11Introduction To Reservoir Engineering
by the investment, but frequently also of good definitive data
on the character of thefield. Much of the responsibility for this
type of activity falls on the reservoirengineers because of their
appreciation for the complex character of sub-surfacefluid
behaviour under various proposed development schemes.
1.3 Production Operations OptimisationProducing fields will
seldom behave as anticipated and, of course, by the very natureof
this sort of activity, the balance of forces in the reservoir rock
gets severely upsetby oil and gas production. The reservoir
engineer is frequently called upon toexplain a certain aspect of
well performance, such as increasing gas-oil ratio, sandand/or
water production and more importantly will be asked to propose a
remedy.The actual performance of the reservoir as compared to the
various model predictionsis another ongoing perspective during this
phase.
2 RESERVOIR ENGINEERING TECHNIQUES
In the past the traditionally available reservoir engineering
tools were mainlydesigned to give satisfactory results for a slide
rule and graph paper approach. Formany problems encountered by
reservoir engineers today this remains a perfectlyvalid approach
where the slide rule has been replaced by the calculator.
Increasingly,however, the advance of computing capability is
enabling reservoir engineeringmodelling methods (simulations) to be
carried out at the engineers desk, previouslyconsidered
impossible.
The basis of the development of the 'model' of the reservoir are
the various datasources. As the appraisal develops the uncertainty
reduces in relation to the qualityof the forecasts predicted by the
model. Building up this geological model of thereservoir progresses
from the early interpretation of the geophysical surveys,through
various well derived data sets, which include drilling information,
indirectwireline measurements, recovered core data, recovered fluid
analysis, pressuredepth surveys, to information generated during
production.
3. RESERVE ESTIMATING
The Society of Petroleum Engineers SPE and World Petroleum
Congress WPO1987agreed classification of reserves3 provides a
valuable standard by which to definereserves, the section below is
based on this classification document.
3.1 DefinitionsReserves are those quantities of petroleum which
are anticipated to be commerciallyrecovered from known
accumulations from a given date forward.All reserve estimates
involve some degree of uncertainty. The uncertainty dependschiefly
on the amount of reliable geologic and engineering data available
at the timeof the estimate and the interpretation of these data.
The relative degree of uncertaintymay be conveyed by placing
reserves into one of two principal classifications, eitherproved or
unproved.
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6
Unproved reserves are less certain to be recovered than proved
reserves and may befurther sub-classified as probable and possible
reserves to denote progressivelyincreasing uncertainty in their
recoverability.
Estimation of reserves is carried out under conditions of
uncertainty. The method ofestimation is called deterministic if a
single best estimate of reserves is made basedon known geological,
engineering, and economic data. The method of estimation iscalled
probabilistic when the known geological, engineering, and economic
data areused to generate a range of estimates and their associated
probabilities. Identifyingreserves as proved, probable, and
possible has been the most frequent classificationmethod and gives
an indication of the probability of recovery. Because of
potentialdifferences in uncertainty, caution should be exercised
when aggregating reserves ofdifferent classifications.
Reserves estimates will generally be revised as additional
geologic or engineeringdata becomes available or as economic
conditions change. Reserves do not includequantities of petroleum
being held in an inventory, and may be reduced for usage
orprocessing losses if required for financial reporting.
Reserves may be attributed to either natural energy or improved
recovery methods.Improved recovery methods include all methods for
supplementing natural energy oraltering natural forces in the
reservoir to increase ultimate recovery. Examples of suchmethods
are pressure maintenance, gas cycling, waterflooding, thermal
methods,chemical flooding, and the use of miscible and immiscible
displacement fluids. Otherimproved recovery methods may be
developed in the future as petroleum technologycontinues to
evolve.
3.2 Proven ReservesProven reserves are those quantities of
petroleum which, by analysis of geologicaland engineering data, can
be estimated with reasonable certainty to be
commerciallyrecoverable, from a given date forward, from known
reservoirs and under currenteconomic conditions, operating methods,
and government regulations.
Proved reserves can be categorised as developed or
undeveloped.
If deterministic methods are used, the term reasonable certainty
is intended to expressa high degree of confidence that the
quantities will be recovered. If probabilisticmethods are used,
there should be at least a 90% probability that the quantities
actuallyrecovered will equal or exceed the estimate.
Establishment of current economic conditions should include
relevant historicalpetroleum prices and associated costs and may
involve an averaging period that isconsistent with the purpose of
the reserve estimate, appropriate contract obligations,corporate
procedures, and government regulations involved in reporting these
reserves.In general, reserves are considered proved if the
commercial producibility of thereservoir is supported by actual
production or formation tests. In this context, the termproved
refers to the actual quantities of petroleum reserves and not just
the productivityof the well or reservoir. In certain cases, proved
reserves may be assigned on the basisof well logs and/or core
analysis that indicate the subject reservoir is hydrocarbon
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11Introduction To Reservoir Engineering
bearing and is analogous to reservoirs in the same area that are
producing or havedemonstrated the ability to produce on formation
tests.
The area of the reservoir considered as proved includes (1) the
area delineated bydrilling and defined by fluid contacts, if any,
and (2) the undrilled portions of thereservoir that can reasonably
be judged as commercially productive on the basis ofavailable
geological and engineering data. In the absence of data on fluid
contacts,the lowest known occurrence of hydrocarbons controls the
proved limit unlessotherwise indicated by definitive geological,
engineering or performance data.Reserves may be classified as
proved if facilities to process and transport thosereserves to
market are operational at the time of the estimate or there is a
reasonableexpectation that such facilities will be installed.
Reserves in undeveloped locationsmay be classified as proved
undeveloped provided (1) the locations are direct offsetsto wells
that have indicated commercial production in the objective
formation, (2) itis reasonably certain such locations are within
the known proved productive limits ofthe objective formation, (3)
the locations conform to existing well spacing regulationswhere
applicable, and (4) it is reasonably certain the locations will be
developed.Reserves from other locations are categorised as proved
undeveloped only whereinterpretations of geological and engineering
data from wells indicate with reasonablecertainty that the
objective formation is laterally continuous and contains
commerciallyrecoverable petroleum at locations beyond direct
offsets.Before looking at further detail we will carry out some
tests to help emphasise theabove definition.
3.2.1 Exercises - Reserve DefinitionsThe section on Reserve
Definitions as put together by the SPE and the WorldPetroleum
Congress, defines the various aspects of reserve definitions.
Thesedefinitions, are important both to companies and countries,
and they can have verysignificant commercial impact. The following
tests are presented to help understandthe working of these earlier
definitions.
Test 1
There are 950 MM stb ( million stock tank barrels) of oil
initially in place in a reservoir.It is estimated that 500 MM stb
can be produced. Already 100 MM stb have beenproduced. In the boxes
below, identify the correct answer.
950STOIIP is: MM stb500 400
450 400 500 MM stbThe Reserves are:
Turn to page 9 for answers
Test 2
Before starting production it was estimated that there was a 90%
chance of producingat least 100 MM stb, 50% chance of producing 500
MM stb and 10% chance ofproducing 700MM stb. That is we are sure we
can produce at least 100MM stb, and
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8
we will probably produce as much as 500 MM stb, and we will
possibly produce asmuch as 700 MM stb.
Tick the correct answers.
500400
400 500
400 500
200
200
200
100
100
100
600
600
600
700
700
700
Proved reserves (MM stb):
Probable reserves
Possible reserves
Turn to page 9 for answers
Test 3
What is wrong with the following definitions?
1. Reserves are those quantities of petroleum which are
anticipated to be recoveredfrom a petroleum accumulation.
Test 4
1. We have a structure in our licence area which we intend to
explore. We anticipateit to contain a STO IIP of 2000 MM stb, and
recovery factor of 65% using primarymethods (30%), secondary (25%)
and tertiary (10%) recovery methods. What are thereserves?
Test 5
A reservoir has been discovered by drilling a successful
exploration well, and drillinga number of producing wells. We have
even produced some 200 MM stb of oil.
STOIIP = 2000MM stb Recovery factor = 35%
What are the reserves?
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
Test 1 answer
There are 950 MM stock tank boards in place. It is estimated
that 500 MM stb can beproduced and 100 MM stb have been produced
then 400 recoverable reserves remain.
950STOIIP is: MM stb500 400
450 400 500 MM stbThe Reserves are: X
X
X
X
Test 2 answer
Proved : 100 MM stbProbable : 500 - 100 = 400 MM stbPossible :
700 - 500 = 200 MM stbProved : 100 MM stbProved & Possible 500
MM stbProved & Probable & Possible : 700 MM stb
Test 3 answer
Reserves are those quantities of petroleum which are anticipated
to be commerciallyrecovered from a petroleum accumulation.Clearly
economics is a very important aspect of the definition.
Economic Variables
What economic factors are used in the calculations? What oil and
gas price do we usefor proved reserve estimates? Is inflation taken
into account? Do we predict futureprice trends? Do we apply
discount factors to calculate present value of the project?Are all
these used in proved reserve calculations? The current economic
conditionsare used for the calculations, with respect to prices,
costs, contracts and governmentregulations.
Test 4 answer
1. Answer is zero by SPC/WPC definition.2. Intentions and
anticipations are not the basis for reserves. In this case no well
hasyet been drilled.Note: Some companies allocate potential
reserves for internal use but these cannot beused for public and
government figures.Reserves are those quantities of petroleum which
are anticipated to be commerciallyrecovered from a known
accumulation.
Requirements for Proved include
The following sources are required for proved reserves. Maps
(from seismic and/geological data). Petrophysical logs. Well test
results and rock properties from coreanalysis tests on recovered
core.
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10
Facilities
An important perspective which might be forgotten by the
reservoir engineer, is thatfor reserves to be classified as proven,
all the necessary facilities for processing andthe infrastructure
for transport must either be in place or that such facilities will
beinstalled in the future, as backed up by a formal commitment.
Contribution to the Proved Reservoir Area
This comes from drilled and produced hydrocarbons, the
definition of the gas and oiland water contacts or the highest and
lowest observed level of hydrocarbons. Also theundrilled area
adjacent to the drilled can be used.
Test 5 answer
Ultimate recovery = 2 000 x 0.35 = 700 MM stbMinus production to
date = 200Reserves = 500 MM stb
Reserves are those quantities of petroleum which are anticipated
to be commerciallyrecovered from known accumulations from a given
date forward.i.e. Reserves refer to what can be produced in the
future.
Figure 2 gives a schematic of reserves showing the progression
with time.
SPE / WPC DefinitionsPotentialP10
P50
P90
TimeStart of
ProductionAbandonmentStart of Dev
PlanningDiscovery of
WellSeismic
Data
Before Drilling Exploration Well
Prior and DuringAppraisal
Delineation, Evaluation,Development
ProductionPERIOD
Geophysicaland Geological
Geophysical,Geological,Petrophysicaland Well Test Data
Geophysical,Geological,Petrophysicaland Well Tests and
Production Data
Reservoir Performanceand Production Data
TYPE OFDATA
Mostly Probabilistic Deterministic and ProbabilisticMETHOD
Possible
Probable
Provan
Possible
Probable
Provan Cumulative Production
RE
SE
RV
E C
ATE
GO
RIE
SP
roba
bilit
y Le
vels
What are the amounts termed that are not recoverable? The
quantity of hydrocarbonsthat remains in the reservoir are called
remaining hydrocarbons in place, NOTremaining reserves!
Reserves which are to be produced through the application of
established improvedrecovery methods are included in the proved
classification when :
Figure 2.
Variations of Reserves
During Field Life
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
(i) Successful testing by a pilot project or favourable response
of an installedprogram in the same or an analogous reservoir with
similar rock and fluidproperties provides support for the analysis
on which the project was based,and,
(ii) It is reasonably certain that the project will proceed.
Reserves to be recoveredby improved recovery methods that have yet
to be established throughcommercially successful applications are
included in the proved classificationonly :
(i) After a favourable production response from the subject
reservoir from either
(a) A representative pilot or
(b) An installed program where the response provides support for
the analysison which the project is based and
(ii) It is reasonably certain the project will proceed.
3.3 Unproved ReservesUnproved reserves are based on geologic
and/or engineering data similar to that usedin estimates of proved
reserves; but technical, contractual, economic, or
regulatoryuncertainties preclude such reserves being classified as
proved.Unproved reserves may be further classified as probable
reserves and possiblereserves. Unproved reserves may be estimated
assuming future economic conditionsdifferent from those prevailing
at the time of the estimate. The effect of possiblefuture
improvements in economic conditions and technological developments
can beexpressed by allocating appropriate quantities of reserves to
the probable and possibleclassifications.
3.3.1. Probable ReservesProbable reserves are those unproved
reserves which analysis of geological andengineering data suggests
are more likely than not to be recoverable. In this context,when
probabilistic methods are used, there should be at least a 50%
probability thatthe quantities actually recovered will equal or
exceed the sum of estimated proved plusprobable reserves. In
general, probable reserves may include :
(1) Reserves anticipated to be proved by normal step-out
drilling where sub-surface control is inadequate to classify these
reserves as proved,
(2) Reserves in formations that appear to be productive based on
well logcharacteristics but lack core data or definitive tests and
which are not analogousto producing or proved reservoirs in the
area,
(3) Incremental reserves attributable to infill drilling that
could have beenclassified as proved if closer statutory spacing had
been approved at thetime of the estimate,
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12
(4) Reserves attributable to improved recovery methods that have
been establishedby repeated commercially successful applications
when;
(a) a project or pilot is planned but not in operation and(b)
rock, fluid, and reservoir characteristics appear favourable for
commercialapplication,
(5) Reserves in an area of the formation that appears to be
separated from theproved area by faulting and the geologic
interpretation indicates the subjectarea is structurally higher
than the proved area,
(6) Reserves attributable to a future workover, treatment,
re-treatment, change ofequipment, or other mechanical procedures,
where such procedure has notbeen proved successful in wells which
exhibit similar behaviour inanalogous reservoirs, and
(7) Incremental reserves in proved reservoirs where an
alternative interpretation ofperformance or volumetric data
indicates more reserves than can be classifiedas proved.
3.3.2. Possible ReservesPossible reserves are those unproved
reserves which analysis of geological andengineering data suggests
are less likely to be recoverable than probable reserves.In this
context, when probabilistic methods are used, there should be at
least a 10%probability that the quantities actually recovered will
equal or exceed the sum ofestimated proved plus probable plus
possible reserves. In general, possible reservesmay include:
(1) reserves which, based on geological interpretations, could
possibly existbeyond areas classified as probable,
(2) reserves in formations that appear to be petroleum bearing
based on log andcore analysis but may not be productive at
commercial rates,
(3) incremental reserves attributed to infill drilling that are
subject to technicaluncertainty,
(4) reserves attributed to improved recovery methods when
(a) a project or pilot is planned but not in operation and(b)
rock, fluid, and reservoir characteristics are such that a
reasonable doubt
exists that the project will be commercial, and
(5) reserves in an area of the formation that appears to be
separated from theproved area by faulting and geological
interpretation indicates the subject areais structurally lower than
the proved area.
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11Introduction To Reservoir Engineering
3.4 Reserve Status CategoriesReserve status categories define
the development and producing status of wells andreservoirs.
3.4.1. Developed:Developed reserves are expected to be recovered
from existing wells includingreserves behind pipe. Improved
recovery reserves are considered developed only afterthe necessary
equipment has been installed, or when the costs to do so are
relativelyminor. Developed reserves may be sub-categorised as
producing or non-producing.
3.4.1.1 Producing:Reserves subcategorised as producing are
expected to be recovered from completionintervals which are open
and producing at the time of the estimate. Improved
recoveryreserves are considered producing only after the improved
recovery project is inoperation.
3.4.1.2. Non-producing:Reserves subcategorised as non-producing
include shut-in and behind-pipe reserves.Shut-in reserves are
expected to be recovered from (1) completion intervals which
areopen at the time of the estimate but which have not started
producing, (2) wells whichwere shut-in for market conditions or
pipeline connections, or (3) wells not capableof production for
mechanical reasons. Behind-pipe reserves are expected to
berecovered from zones in existing wells, which will require
additional completionwork or future recompletion prior to the start
of production.
3.4.2. Undeveloped Reserves:Undeveloped reserves are expected to
be recovered:
(1) From new wells on undrilled acreage,(2) From deepening
existing wells to a different reservoir, or(3) Where a relatively
large expenditure is required to
(a) Recomplete an existing well or(b) Install production or
transportation facilities for primary or improved
recovery projects.
4. PROBABILISTIC REPRESENTATION OF RESERVES
Whereas in the deterministic approach the volumes are determined
by the calculationof values determined for the various parameters,
with the probalistic statisticalanalysis is used, using tools like
Monte Carlo methods. The curve as shown in thefigure 3 below
presents the probability that the reserves will have a volume
greater orequal to the chosen value.
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14
'Proven'
'Proven + Probable'
Pro
babi
lity
that
the
rese
rve
is a
t lea
stas
larg
e as
indi
cate
d.
'Proven + Proable+ Possible'
1.0
0.9
0.5
0.1
0Recoverable Reserve
On this curve:The proven reserves represent the reserves volume
corresponding to 90% probabilityon the distribution curve.The
probable reserves represent the reserves volume corresponding to
the differencebetween 50 and 90% probability on the distribution
curve.The possible reserves represent the reserves volume
corresponding to the differencebetween 10 and 50% probability on
the distribution curve.
As with the deterministic approach there is also some measure of
subjectivity in theprobalistic approach. For each of the elements
in the following equation, there is aprobability function
expression in low, medium and high probabilities for theparticular
values. A schematic of a possible distribution scenario for each of
theelements and the final result is given below in the figure
4.
Net rock Net rock Connate Formation Estimatedvolume. average
water volume recovery
porosity saturation factor factor
[ Vnr x x (1 - Swc) / B ] x RF = Reserveso
Uniform Triangular Gaussian Uniform p90p50
p10=P
The resulting calculations result in a probability function for
a field as shown inthe figure 5 below, where the values for the
three elements are shown
Proven = 500 MM stb the P90 figure.
Probable = 240 MM stb which together with the proven makes up
the P50 figure.of 740MMstb
Figure 3.
Probabilistic
Representation of
Recoverable Reserves.
Figure 4.
Probablistic Reserve
Estimates.
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
Possible = 120 MM stb which together with the proven and
probable makes up theP10 value of 860MMstb
Reserves distribution for a new field.
Reserves / MMstb
Pro
babi
lity
/ %
100
90
80
70
60
50
40
30
20
10
00 200 400 600 800 1000
P10 = 860 MMstbP50 = 740 MMstbP90 = 500 MMstb
Proven 500 MMstb
Probable 240 M
P+P+P = 860 MMstb
Proven Probable Possible
P90
P50
120 P10
As a field is developed and the fluids are produced the shape of
the probability curvechanges. Probability figures for reserves are
gradually converted into recoveryleaving less uncertainty with
respect to the reserves. This is illustrated in figure 6.
100
90
80
70
60
50
40
30
20
10
00 200 400 600 800 1000
Reserves / MMstb
Pro
babi
lity
/ %
Proved ultimate recovery.
Proved reservesProduction
P90
P50
P10Figure 6.
Ultimate Recovery and
Reserves Distribution For a
Mature Field.
Figure 5.
Reserves Cummulative
Probability Distribution.
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16
5. VOLUME IN-PLACE CALCULATIONS
5.1 The volume of oil and gas in-place depends on a number of
parameters :The aerial coverage of the reservoir. AThe thickness of
the reservoir rock contributing to the hydrocarbon volume. h
n
The pore volume, as expressed by the porosity , , the reservoir
quality rock.The proportion of pore space occupied by the
hydrocarbon ( the saturation ). 1-S
w
The simple equation used in calculation of the volume of fluids
in the reservoir, V, is
V=Ahn(1-S
w): (1)
where:A= average areah
n = nett thickness. nett thickness = gross thickness x nett:
gross ratio
= average porosityS
w = average water saturation.
When expressed as stock tank or standard gas volumes, equation
above is divided bythe formation volume factor B
o or B
g.
V Ah S Bn w o= ( ) /1 (2)
To convert volumes at reservoir conditions to stock tank
conditions formation volumefactors are required where B
o and B
g are the oil and gas formation volume factors.
These are defined in subsequent chapters. The expression of
original oil in place istermed the STOIIP.
The recovery factor, RF, indicates the proportion of the
in-place hydrocarbons
expected to be recovered. To convert in place volumes to
reserves we need to multiplythe STOIIP by the recovery factor so
that:
Reserves = STOIIP x RF
(3)
The line over the various terms indicates the average value for
these spatial parameters.
The reservoir area A, will vary according to the category;
proven, probable orpossible, that is being used to define the
reserves.
Before examining the contributions of the various parameters it
is worthwhile to giveconsideration of the evolution of the reserve
estimate during the exploration anddevelopment stage.
5.2 Evolution of the Reserve Estimate Figure 7 gives a cross
section view of a reservoir structure as suggested from seismicand
geological data.
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
Oil
Suggested 0il and water contact
Using this data and possible suggested structure we can carry
out some oil in placecalculations and estimate reserves. These
figures however are not admissible inpublic reserve estimates. They
are useful inside the company to justify projectexpenditure! The
question is where do we locate the first exploration well and
getinvolved in large exploration expenditure costs. Figure 8
suggest three alternatives
Oil
Suggested oil and water contact
Suggest this location.
In figure 9 an exploration well has been drilled and a core
recovered and thestructure of the field with respect to formations
and contacts redefined. Theredefined structure can now be used to
provide an estimate of reserves accordingto the three, proven,
probable and possible perspectives. Figure 10
Figure 7.
Cross Section
Interpretation From
Seismic and Geological
Data.
Figure 8.
Alternative locations of
Exploration Wells
-
18
Oil and water contact
Oil
Cored interval
OilPos
siblePr
obab
le
Prob
able
Possi
bleProved
Subsequent appraisal wells are now drilled to give better
definition of the reserves ofthe field. Well 2 aimed at defining
the field to the left identifies some additionalisolated
hydrocarbon structure with its own oil water contact. Figure 11.
The well,as well as increasing the proven reserves, further
identifies previous unknownreserves. The next appraisal well is
aimed at defining the reserves in the otherdirection. During well
testing on wells 1or 2 indications of faulting are also helpingto
define the flowing nature of the accumulation. Figure 12 for the
further appraisalwell confirms the accumulation to the right and
also identifies the impact of the faultwith a new oil water
contact. Subsequent appraisal wells and early development
givegreater definition to the field description. Figure 13
Figure 9.
Interpretation After
Exploration Well Drilled
and Cored.
Figure 10.
After The Exploration Well
Was Drilled.
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
Oil
Proven
Well 2. Well 1. Proposeddelineationwell 3.
Proven
Initial appraisal stage.
OilProven
Well 2. Well 1. Well 3.
Proven
New oil water contact.
Gas
Oil
Proven
Well 2. Well 1. Well 3.
Proven
New oil water contact.
Well 4.
Gas
Figure 12.
After Further Appraisal.
Figure 11.
Further Delineation Well.
Figure 13.
Final Appraisal Well.
-
20
From a deterministic perspective the various reserve estimates,
that is, proven,probable and possible can be further determined.
The indication of the variouselements based on the top structure
map are shown. Figure 14
Possible
Probable
Proved
1
2
34
5.3 Reservoir AreaThe reservoir area can be obtained by
separately evaluating the individual unitsmaking up the reservoir
as obtained from various reservoir maps. These maps arederived from
the evidence given from seismic and subsequent drilled wells. The
mapsgenerally indicate the upper and lower extent of the reservoir
section or sections andthe aerial extent as defined by faults or
hydrocarbon contacts. Figure 15 shows anaerial section with the
defined limits. The contour lines are lines of constant
subseadepths. Figure 16 gives a cross section of a reservoir unit.
The combination of the tworepresentations of the unit(s) can be
used to calculate the gross rock volume.
PorosityBoundary
Fault Boundary
Fault Bound
ary
FluidContact
Figure 14.
Reserves Uncertainties by
Deterministic Method.
Figure 15.
Structure Contour Map. 7
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
Reservoir
Rock Volume
Hydrocarbon Water
Contact Elevation
Heighest Elevationon Top Structure
Heighest Elevationon Base Structure
Con
tour
Ele
vatio
n(u
nits
ss)
Area Contained by Contour
Top Structure
o
Base Structure
Figures 17 & 18 show an example of a top structure map and
cross section of the RoughGas field in the North Sea.
47/7 A4
A2
47/8-1
47/8-2
47/2 47/3
47/8
A3
A6
A5x
x
x
Gw
C
GwC
95509500
95009500
9600
9450940093509300
9250
9200
9100
9150 9350
9300
9250
9200
8
88
Platform A
Completed Producers
Proposed Well Locations
Abandoned Wells
C.I. = 50ft.
88
888
B
88
8 A
AA
A
A
9000
9200
9400
9600
9800
A2
A3
A5
A1 A4Depth (ft)subsea
CarboniferousSands
Tentativehydrocarbon/water contact
Fau
lt Fault
UnconformityRotliegendesUnconformity
Figure 16.
Reservoir cross section. 7
Figure 18.
Schematic Cross Section of
The Rough Field. 5
Figure 17.
Top Sand Structure Map
Rough Gas Field. 5
-
22
5.4 Reservoir ThicknessAnother representation of the reservoir
formations is the reservoir thickness map.Where the areal contour
maps show the thickness normal to the plane of the reservoirthe
contours are called isopachs. When the thickness is mapped as a
vertical thicknessthen the contour is called an isochore. Not all
the reservoir thickness will contributeto fluid recovery and will
include non-productive strata. Those contours whichinclude these
non-productive material are called gross reservoir isopach and
thosewhere non-productive material is excluded are called net
reservoir isopach maps.Those intervals contributing to flow are
termed pay. The ratio of net to gross, h
n/h
t , is
an important aspect in reservoir evaluation. Figure 19 shows a
net pay thicknessisopach and the isopach map for the Rough field is
shown in figure 20
0150
125100
75
Isopach C I25 Units
100
100
90
80
70
110
110116
120
GwC
Gw
C
130
140
A4
A1
A2
47/8-1
47/8-2
47/2 47/3
47/7 47/8
A3
A6
A5x
x
Figure 19.
Net Pay Thickness
Isopach.7
Figure 20.
Rough Field Isopach. 5
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
The isopach map can also be used to calculate reservoir volume.
For example in figure21 the area under a plot of net pay thickness
vs. area contained within the contourprovides a net pay volume.
These plots can be generated for each section or rock type.The
thickness plots for each section are called isoliths.
OWC
Area Enclosed = Net Rock Volume
Area Contained by Contour
Net
Pay
Isop
ach
Val
ue
0
40
80
120
140
180
5.5 Reservoir PorosityThe variation of porosity can also be
represented . The average porosity, , in a wellcan be calculated
from the thickness-weighted mean of the porosities 4 .
w
k n kk
m
n
h
h= =
,1 (4)
where k is the average porosity derived from the log over a
small thickness h
n,k within
the net pay thickness, hn.
These values of porosity can then be plotted to generate an
isoporosity map asillustrated in figure 22. The example of an
isoporosity map for the Rough Field isshown in figure 23.
5 1015
2025
Porosity C I5%
Figure 21.
Hydrocarbon Volume From
Net Pay Isopach.7
Figure 22.
Iso Porosity Map.7
-
24
14%
12%
10%
8%
6%
Gw
C
GwC
A4
A1
A2
A3
A6
A5A
47/7 47/8-1
47/8-2
47/2 47/3
47/8x
x
5.6 Water Saturation, SwThe water saturation in a reservoir is
influenced by the characteristics of the reservoirrock and the
location with respect to the position above the free water level
near theoil-water or gas-oil contact (see section Reservoir Rock
Properties Chapter 7). Theaverage water saturation S
w,w , can be calculated in a similar way to porosity by
calculating the volume weighted mean across the producing
elements of the forma-tion, the pay.
SS h
hw ww k k n k
k
m
w n,
, ,
= =
1 (5)
The values of Sw,w
can be plotted and contours of constant saturation
(isosaturation)presented. Figure 24.
15 2025
30 35 40
WOC
Shale
A more detailed description together with exercises are given in
the mapping sectionof the geology module.
Figure 23.
Rough Field Iso Porosity
Map.7
Figure 24.
Iso Saturation (sw) Map.4
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Department of Petroleum Engineering, Heriot-Watt University
25
11Introduction To Reservoir Engineering
5.7 Formation Volume Factors Oil, Bo and Gas, BgThese properties
of the oil and gas which convert reservoir volumes to
surfacevolumes, are generated from measurements made on fluid
samples from the reservoir.They do not vary significantly across
the reservoir when compared to the other rockrelated parameters.
These parameters are covered in the gas properties and
oilproperties chapters. In some reservoirs where the formations are
thick there is acompositional gradient over the depth. This
variation in composition from heavier(less volatile components) to
lighter components at the top results in a variation of theoil
formation volume factor, B
o over the thickness. In such cases an average value
based on values measured or calculated at depth would be a
preferred value.
5.8 The Recovery Factor, ERThe proportion of hydrocarbons
recovered is called the recovery factor. This factoris influenced
by a whole range of factors including the rock and fluid properties
andthe drive mechanisms. The variability of the formation
characteristics, the heteroge-neity can have a large influence on
recovery. The development process beingimplemented and the
geometries and location of wells again will also have a
largeinfluence. Calculating recovery therefore in the early stages
is not feasible and manyassumptions have to be included in such
calculations. It is in this area that reservoirsimulation can give
indications but the quality of the calculated figure is limited
bythe sparse amount of quality data on which the simulation is
based.
The American Petroleum Institute6 has analysed the recoveries of
different fields andcorrelations have been presented for different
reservoir types and drive mechanisms.Figures 25 and 26 give the
residual saturations and oil recovery efficiences fordifferent
drive mechanisms. The API also presents correlations for
recoveries,E
R,
For sandstone and carbonate reservoirs with solution gas
drive
For sandstone reservoirs with water drive
ES
Bk
Spp
ES
Bk
S
R ow
ob obw
b
a
R ow
oi
wi
oi
,
. ..
.
,
. .
. ( )
.
=( )
( )
=( )
0 41851
6
0 548981
0 1611 0 09790 3722
0 1741
0 0422 0 0770
ww
o i
a
pp
( )
. . ( )1903 0 2159 7
b refers to bubble point conditions, i is the initial condition
and a, refers to abandonmentpressure.
-
26
1.00
0.50
0.10
0.05
02
1.00
0.50
0.10
0.05
5 10 20 30 40 50 60 70 80 95 98
2 5 10 20 30 40 50 60 70 80 95 98
0
ME
DIA
N
+
Sor
(O
R S
gr)
as F
ract
ion
of T
otal
Por
e S
pace
RESIDUAL SATURATIONS
PERCENTAGE OF CASES LARGER THAN
Sor In Water DriveReservoirs
Sgr In Solution Gas DriveReservoirs
1.00
0.50
0.10
0.05
02
1.00
0.50
0.10
0.05
5 10 20 30 40 50 60 70 80 95 98
2 5 10 20 30 40 50 60 70 80 95 98
0
ME
DIA
N
+
OIL
RE
CO
VE
RY
EF
FIC
IEN
CY
AT
FIE
LD A
BA
ND
ON
ME
NT
IN P
ER
CE
NT
OF
OIL
PLA
CE
RESIDUAL SATURATIONS
PERCENTAGE OF CASES LARGER THAN
Water Drive
Gas Cap Drive
Solution Gas Drive
Gas Cap Drive +Water Injection
Figure 25.
Log - Probability Residual
Oil Saturation For Water
Drive and Solution Gas
Drive Reservoirs. (API6)
Figure 26.
Log - Probability of Oil
Recovery For Various Drive
Mechanisms. (API6)
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Department of Petroleum Engineering, Heriot-Watt University
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11Introduction To Reservoir Engineering
5.9 Production CapabilityAnother concept, isocapacity, is used
to signify production capability. Isocapacitydenotes equal values
of permeability-net thickness product. This product can bemapped
instead of permeability. The figure 27 shows an isocapacity map
where theabsolute permeability has been obtained as an arithmetic
average in the zone.
0.25
0.51
23454
32
1
The permeability map for the Rough Field is given in figure
28
A4
A3
A2
47/8-1
47/8-2
47/2
A6
A5x
x
Gw
C
GwC
Platform B
80100120
60
40
0
Contour Intervals 20 millidarcies
47/7 47/8
5.10 The Hydrocarbon Pore Volume MapThe hydrocarbon pore volume
can be obtained by combining the net rock volume witha mean
porosity and a mean hydrocarbon saturation. An alternative is the
mapping ofhydrocarbon thickness (HPT) at each well. HPT at a well
in a given zone is:
HPT h Sn h= _ _
. . (8)
Figure 27.
Isocapacity Map.7
Figure 28.
Rough Field Permeability
Map.5
-
28
where:
S Sh w_ _
= 1
Figure 29 gives an HPT map and the Rough Field HPT map is given
in figure 30
0
9
1011
12
13
14
15
14
13
12
11
10
0
A4
A2
A3
A1
A6
A5
9
10
0
8
7
6
5
4
6. OTHER APPRAISAL ROLES
In building up the picture to enable the reserves estimates and
recoveries to bedetermined the reservoir engineer will be involved
in an number of aspects. One of themost powerful tools is the
production test.
In a well test an exploration or appraisal well is converted to
a short term producingwell, with all the associated facilities put
in place to handle the produced fluids andmonitor fluid rates. A
downhole pressure monitoring device is also located in the
well.Figure 31. The well is flowed at a constant rate , and
sometimes two rates as illustrated
Figure 29.7
Hydrocarbon Pore
Thickness Map.
Figure 30.
Rough Field Hydrocarbon
Pore Thickness.5
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Department of Petroleum Engineering, Heriot-Watt University
29
11Introduction To Reservoir Engineering
in figure 32a, a two rate test. The downhole pressure device
responds to the productionand pressure declines. After a short or
longer time period depending on the nature ofthe test, the well is
shut in, i.e. the flow is stopped. In the well the pressure
buildsup and eventually as monitored by the downhole pressure
device, recovers to theoriginal pressure. Figure 32b. It is in the
analysis of the pressure drawn down andbuild up curves and the
rates that the reservoir engineer is able to determine
theflowability of the reservoir. If the flowing interval thickness
is known, the permeabilitycan be calculated. The presence of faults
can also be detected.
A considerable amount of reservoir data can be obtained from
these well testssometimes called DSTs ( drill stem tests). It has
been the practise over recent yearsfor the produced fluids to be
flared since there is unlikely to be an infrastructure tocollect
these fluids. Now that companies are moving to a zero or reduced
hydrocarbonemission policy the nature and facilities required for
these tests are changing. Afeature of the flaring approach is a
public demonstration of the productivity of the wellbeing
tested.
Surface casing
Cement
Perforations
Production casing
Production tubing
Packer
Down holepressure monitor
Figure 31.
Production Test Assembly.
-
30
q bb
ls /
day
Pf.
psig
Pressure build up
Well shut inFlow 1 Flow 2
Pressure draw down
Pi
t
t
Well test analysis is a powerful reservoir engineering tool and
is treated in depth in asubsequent module of the Petroleum
Engineering course.
The nature of the fluids is key to reservoir behaviour and also
subsequent processingin any development. The collection and
analysis of these fluids is an important roleand is at the focus of
PVT analysis. This topic is covered in Chapter 14 PVT Analysis.The
pressure profile in a well is another important aspect of reservoir
characterisationand can be used to identify fluid contacts. When
used during the early stages ofproduction it can be a powerful
means of refining the structure and hydrodynamiccontinuity
characteristics of the reservoir. This is covered in the next
chapter. LikePVT analysis where the information is based on samples
removed from the reservoir,core analysis is based on recovered core
from the formation. Various tests on thismaterial and its reaction
to various fluids provides many of the reservoir
engineeringparameters important in determining the viability of a
project. Core analysis alsoprovides a cross check for indirect
measurements made downhole. These coreanalysis perspectives are
covered in chapters 7 and 8.
It is clear from what we have discussed that reservoir
engineering is an importantfunction in the appraisal of the
reservoir. The focus for this appraisal so far hasconcentrated on
determining the characteristics and potential flow behaviour of
areservoir under development. Clearly there could be a whole range
of possibilitieswith respect to the plan that could be used to
develop the field. This developmentplanning perspective is an
important part of the reservoir engineers role. Again it is
Figure 32.
Production Test Analysis.
Two Rate Test.
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Department of Petroleum Engineering, Heriot-Watt University
31
11Introduction To Reservoir Engineering
a team effort involving the geological community who understand
the reservoir andthe various engineers who have the
responsibilities of designing and operating thehardware to enable
production. An important part of any future development are
thefacilities that would be required for sustained production and
its is therefore animportant part of the appraisal stage to provide
data for those who would haveresponsibility for good quality data
predictions which will enable optimised facilitydesign.
In any project new data is always being generated. Indeed for a
reservoir, itscharacteristics are unlocked over the whole lifetime
of the project. The duration of theappraisal stage clearly is a
techno economic decision related to the confidence to goahead based
on a good foundation of quality data and forecasts. Fine tuning can
alwaysbe carried out but this is costly if this delays the
development stage. It is important toidentify and fill the gaps for
the largest uncertainties, and having sufficient informationto
design a system which is safe and cost effective. The difficulty is
making thedecision on the data under which a line is drawn which
defines the basis for fielddevelopment design. In reservoir
development the reservoir is always revealing itsproperties, indeed
it is in the production phase that the true characteristics
arerevealed.
7 DEVELOPMENT PLANNING
7.1 Reservoir ModellingGiven appraisal well data, and test
results the reservoir engineer can consider somealternative
development plans, relying heavily on experience and insight. Since
the80s computer based reservoir simulation has played a major
role.
The starting point will invariably be a reservoir map used to
calculate reserves, but inaddition use will be made of the material
balance equation (chapter 15), together withsome drive concepts
(chapter 11), to predict reservoir behaviour. One of the
problemsfaced in making predictions is to adequately take into
account knowledge aboutgeological trends and, although individual
well models can be adjusted to reflect localconditions, there is no
practical desk calculator technique for using say, the
materialbalance equation and well models to come up with a
predictive reservoir performance.Displacement models such as those
derived by Buckley and Leverett (chapter 18),mainly from
observations in the laboratory, give some insight into reservoir
behaviourbut again do not significantly assist in allowing the
engineer to study the effect ofalternative development plans on a
heterogeneous reservoir.
With insight and ingenuity, the reservoir can be divided into a
number of simple unitsthat can be analysed by the traditionally
available techniques but such an approachremains unsatisfactory.
Over recent years the integration of geological and
geophysicalperspectives is contributing considerably to the
confidence in reservoir modelling.
7.2 TechnoeconomicsFor hydrocarbon accumulations found on dry
land the traditional reservoir engineeringtechniques available for
field development planning were, in fact, quite adequate.This is
mainly so because land development operations offer a high degree
of planning
-
32
flexibility to oil companies and hence allow them to make
optimal use of the latestinformation. In an offshore environment
this is not the case; once platforms have beenordered most
development options are closed. It is with respect to offshore
fielddevelopment planning that reservoir simulation models have
found their greatestapplication potential.
7.3 Coping with UncertaintyThe challenge to the exploration
& production business of the oil & gas industry
isconsiderable. The looking for the needle in the haystack scenario
is not too far fromthe truth, when compared to other industrial
sectors. With the challenge of reservesbeing found in technically
challenging areas and the oil price moving in response topolitical
as well as demand scenarios, there is the need to define more
accuratelyforecasts of production and recovery. Reducing
uncertainty is the message of thecurrent decade and not least in
reservoir engineering and its related disciplines.
It is clear from what we have overviewed in this chapter and the
topics which will becovered in the subsequent chapters that there
are many parameters which contributeto the viability of the various
aspects of successful oil and gas production. It is alsoclear that
the various forms of data required, the confidence in the absolute
values varyaccording to the type, and therefore the final impact on
the final result will varyaccording to the particular
parameter.
The following list summarises some of the principal
uncertainties associated with theperformance of the overall
reservoir model. The type of data can for example besubdivided into
two aspects static and dynamic data .
Static Properties
Reservoir structure Reservoir properties Reservoir sand
connectivity Impact of faults thief sands
Dynamic Properties
Relative permeability etc Fluid properties Aquifer behaviour
Well productivity (fractures, welltype, condensate drop out
etc.)
The impact of each of these parameters will vary according to
the particular field butit is important that the company is not
ignorant of the magnitude of the contributinguncertainties, so that
resources can be directed at cost effectively reducing
specificuncertainties. Figure 33 illustrates an outcome which might
arise from an analysis ofvarious uncertainties for a particular
field. It demonstrates for this particular field andat the time of
analysis the impact of the various data has on the final project
cost.Clearly in this case the aquifer behaviour uncertainties has
the least impact whereasreservoir structure and well productivity
uncertainties had the most significant.
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Department of Petroleum Engineering, Heriot-Watt University
33
11Introduction To Reservoir Engineering
Another field would result in different impact perspectives, and
therefore a differentstrategy to reduce overall project uncertainty
would be required.
Q
P
ProjectCost
Changes- +
WellproductionReservoir
area
Reservoirstructure
Sandconectives
Thief zones Faults
Fluid properties
Relativepermeabilities etc.
Aquiferbehaviour
8 PRODUCTION OPERATIONS OPTIMISATION
8.1 The Development PhaseThe development phase covers the period
from the time continuous production startsuntil the production from
the field stops i.e. abandonment. The decision when to
stopproduction clearly is a techno-economic decision based to a
large extent on the costsof the development. Low volume producers
can be allowed to continue in an onshoredevelopment where well
operating costs might be low but the high costs associatedwith for
example in an expensive offshore operation sets a much higher
economiclimit for the decision to abandon a field.
During the development phase Dake2 has identified a number of
roles for theReservoir Engineering which are targeted at optimising
production. It is an irony thatsome of the best data is generated
during the production phase. Through productionthe reservoir
unveils more of its secrets. Some of these may cause modifications
to thedevelopment, perhaps in defining new well locations. The
nature of the hydrodynamiccontinuity of the reservoir is mainly
revealed through pressure surveys run after aperiod of production.
This may define zones not being drained and thereforemodifications
to the well completions might result.
As production progresses fluid contacts rise and therefore these
contacts need to bemonitored and the results used to decide, for
example, to recomplete a well as a resultof, for example excessive
water production. As is pointed out in the chapter on
Figure 33.
Impact on a Project of
Different Uncertainties
-
34
reservoir pressure, development wells before they are completed
provide a valuableresource to the reservoir engineer to enable
surveys of pressure to be run to providea dynamic pressure-depth
profile.
8.2 History MatchingThroughout the production phase the
comparison of the actual performance with thatpredicted during the
appraisal stage and more recent predictions is made. It is
duringthis stage that the quality of the reservoir simulation model
comes under examination.The production pressure decline is compared
to that predicted and the reservoirsimulation model adjusted to
match. This process is called history matching. Clearlyif the
simulation cannot predict what has happened over the recent past it
cannot beused with much confidence to forecast the future!
More simple approaches not requiring the resources of a complex
simulator can alsobe used to up date early predictions, for example
material balance studies.
Once production has been obtained, the additional data becomes
available and makesan important contribution to the refining of the
initial reserves estimates. Twotechniques historically used are
decline curve analysis and material balance studies.
In material balance studies, the pressure-volume behaviour of
the entire field isstudied assuming an infinite permeability for
the reservoir. By assuming an initial oil-in-place from volumetric
calculations, the pressure is allowed to decline followingfluid
withdrawal. This decline is matched against the observed pressure
behaviourand, if necessary, the original oil-in-place figure is
modified until a match is obtained.In the presence of a water
drive, additional variables are included by allowing waterinflux
into the tank. Water influx is governed by mathematical
relationships such asvan Everdingen and Hurst (These concepts are
covered in Chapters 11, 12, and 13MB/MB Applications and Water
Influx).
Decline curves are plots of rate of withdrawal versus time or
cumulative withdrawalon a variety of co-ordinate scales. Usually a
straight line is sought through theseobservations and extrapolated
to give ultimate recovery and rates of recovery. Declinecurves only
use rates of withdrawal and pay relatively little attention to the
reservoirand flowing pressures. A change in the mode of operation
of the field could changethe slope of the decline curve; hence,
this is one of the weaknesses of this technique.
A noteworthy feature of these two approaches is that the
engineer in fact fits a simplemodel to observe data and uses this
model to predict the future by extrapolation. Asmore data becomes
available the model gets updated and predicted results areadjusted.
Decline curve analysis has not been used to the same extent as in
the 60s and70s. With the power of computing and the efforts made to
integrate geologicalunderstanding , the physics of the flow and
behavior of rock and fluid systems intoreservoir simulation, the
fitting and the uncertainty of earlier methods are beingsuperceded
by integrated reservoir simulation modelling.
The routine company function will generate the need for on going
production profileupdates. The generation of these is generally the
responsibility of the reservoirengineer, who might chose simple
analytical approaches to the more costly reservoirsimulation
methods.
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Department of Petroleum Engineering, Heriot-Watt University
35
11Introduction To Reservoir Engineering
8.3 Phases of DevelopmentDuring the development there are a
number of phases. Not all of these phases may bepart of the plan.
There is the initial production build up to the capacity of the
facilityas wells are brought on stream. There is the plateau phase
where the reservoir isproduced at a capacity limited by the
associated production and processing facilities.Different companies
work with different lengths of the plateau phase and each
projectwill have its own duration. There comes a point when the
reservoir is no longer ableto deliver fluids at this capacity and
the reservoir goes into the decline phase. Thedecline phase can be
delayed by assisting the reservoir to produce the fluids by the
useof for example lifting techniques such as down-hole pumps and
gas lift. The declinephase is often a difficult period to model and
yet it can represent a significant amountof the reserves. These
phases are illustrated in figure 34
Build up phase
Plateau phase
Decline phase
Artificial lift
Time - years
Pro
duct
ion
rate
Economic limit
The challenge facing the industry is the issue of the proportion
of hydrocarbons leftbehind. The ability to extract a greater
proportion of the in-place fluids is obviouslya target to be aimed
at and over recent years recoveries have increased through
theapplication of innovative technology. Historically there have
been three phases ofrecovery considered. Primary recovery, which is
that recovery obtained through thenatural energy of the
reservoir.
Secondary recovery is considered when the energy is supplemented
by injection offluids, for example gas or water, to maintain the
pressure or partially maintain thepressure. The injected fluid also
acts as a displacing fluid sweeping the oil to theproducing wells.
After sweeping the reservoir with water or gas there will still
beremaining oil; oil at a high saturation where the water for a
range of reasons, forexample; well spacing, viscosity, reservoir
characteristics to name just a few, has by-passed the oil. The oil
which has been contacted by the injected fluid will not
becompletely displaced from the porous media. Because of
characteristics of the rockand the fluids a residual saturation of
fluid is held within the rock. Both of theseunrecovered amounts,
the by-passed oil and the residual oil are a target for
enhancedrecovery methods, EOR.
Figure 34.
Phases of Production.
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36
Much effort was put into enhanced oil recovery (EOR) research up
until the midseventies. Sometimes it is termed tertiary recovery.
When the oil price has droppedthe economics of many of the proposed
methods are not viable. Many are based on theinjection of chemicals
which are often oil based. The subject of EOR has not beenforgotten
and innovative methods are being investigated within the more
volatile oilprice arena. Figure 35 gives a schematic representation
of the various phases ofdevelopment and includes the various
improved recovery methods. More recently anew term has been
introduced called Improved Oil Recovery (IOR). IOR is moreloosely
defined and covers all approaches which might be used to improve
therecovery of hydrocarbons in place. Clearly it is not as specific
as EOR but providesmore of an achievable target than perhaps some
of the more sophisticated EORmethods.
As we have entered into the next millenium it is interesting to
note that a number ofmajor improved recovery initiatives are being
considered particularly with respect togas injection. One
perspective which make a project more viable is that of the
disposalof gas for example which is an environmental challenge in
one field can be the sourceof gas for another field requiring gas
for a gas injection improved oil recovery process.
PrimaryRecovery
Artifical LiftPump gas lift etc.
SecondaryRecovery
NaturalFlow
TertiaryRecovery
PressureMaintenance
Water, gas injection
NaturalFlow
Thermal Gas Chemical Microbial
Steam In-situcombustion.
Hydrocarbonmiscible, CO2N2 immisciblegas
Polymersurfactant/polymer
EOR
CONVENTIONAL
Figure 35.
Oil Recovery Mechanisms.
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Department of Petroleum Engineering, Heriot-Watt University
37
11Introduction To Reservoir Engineering
9. THE UNIQUENESS OF THE RESERVOIR
As we have discussed the role of the reservoir engineer in
combination with otherdisciplines is to predict the behaviour of
the reservoir. Whereas in the early years ofoil exploration little
attention was paid to understanding the detailed characteristicsof
the reservoir, it is now recognized that detailed reservoir
properties associated withoften complex physical and chemical laws
determine field behaviour. The unlockingof these characteristics
and understanding the laws enable engineering plans to be putin
place to ensure optimised developments are implemented. This is
schematicallyillustrated in figure 36.
ReservoirBehaviour
DevelopmentPlan
Reservoir DescriptionUnique
Dynamic and Static
At one extreme for example in a blow - out situation, a
reservoir produces in anuncontrolled manner only restricted by the
size of the well through which isproducing. Optmised development
however based on a thorough understanding of thereservoir enables
the reservoir to be produced in a controlled, optimised manner.
In many other industries the effort expended on one project can
be utilised inengineering a duplicate or a similar size unit
elsewhere. Such opportunities are notpossible in the engineering of
a reservoir. Reservoirs are unique in many aspects. Thecomposition
of the fluids are unique, the rock characteristics and related
propertiesare unique, the size and shape are unique and so on. From
our perspective thisreservoir description is dynamic as the
reservoir over a period of time gives up itssecrets. From the
reservoirs perspective however the description is static, except
withthe changes resulting from the impact of fluid production or
injection. The challengeto those involved is reducing the time it
takes for our dynamic description to match,our static description
known only to the reservoir or whoever was responsible for
itsformation! The answer perhaps is more of a philosophical nature.
The reality is shownin figure 37 where the top structure map for a
North Sea gas field with a ten year gapshows the impact of
knowledge gained from a number of wells as against thatinterpreted
from the one well. Considerable faulting is shown not as a result
of majorgeological a activity over the ten years but knowledge
gained from the data associatedwith the new wells.
Figure 36
Relationship between
Reservoir Description, and
Reservoir Behaviour.
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38
49/26.1
200
200
210 220
220
5310 5310
5305 5305
SHELL/ESSO 49/26 AMOCO 49/27
Gas /water contactDepths in metresscale 1 100,000
2000
2100
2200
1000
1000 2000
800
2100
2000
2000
1000
2000
1000
2000
2000
1000
2100
1200
1000
2100
Depth in feet
0 10 1 2
MilesKMS
Gas /water contactA permanent platform
53055305
5300
5310
5300
5310
200
200 210
210
220
220
230
230
6900
6400
SHELL/ESSO 49/26 AMOCO 49/27
7000
6900
6900
63006300
7000
6900
6900
63006400
6300
6300
6200
6100
6400
6900
The coverage of the reservoir has also changed effecting the
equity associated with theblocks. This illustrates the early
benefits to be gained from drilling a number ofexploration wells.
These equity agreements, are called unitisation agreements andsuch
agreements are shortened when good quality and comprehensive
reservoirdescription data is available. Clearly there can never be
sufficient description,however the economics of project management
will determine when decisions haveto be taken based on description
to date. The value of extra information has to bebalanced by the
cost of delay in going ahead with a project.
Figure 37 (a)
The Leman Field as it
Appeared to be When The
Exploration Well Was
Drilled.
Figure 37b
Leman Field Ten Years
After Discovery
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Department of Petroleum Engineering, Heriot-Watt University
39
11Introduction To Reservoir Engineering
10. CONCLUSION
In order to accomplish these objectives the Petroleum Reservoir
Engineer should havea broad fundamental background both
theoretically and practically in the basicsciences and engineering.
The basic areas are:
(i) The properties of petroleum reservoir rocks(ii) The
properties of petroleum reservoir fluids(iii) The flow of reservoir
fluids through reservoir rock(iv) Petroleum reservoir drive
mechanisms
It is also important that the Petroleum Reservoir Engineer has a
thorough basicunderstanding in general, historical and petroleum
geology. The influence of geologicalhistory on the structural
conditions existing in a reservoir should be known andconsidered in
making a reservoir engineering study. Such a study may also help
toidentify and characterise the reservoir as to its aerial extent,
thickness and stratificationand the chemical composition, size
distribution and texture of the rock materials.
In his latest text, Dake2 comments on some of the philosophy of
approach to reservoirengineering, and indentifies the importance of
pinning down interpretation andprediction of reservoir behaviour to
well grounded laws of physics.
Reservoir forecasting has moved on considerably since wells were
drilled with littleinterest and concern into the production and
forecasting of what was happening in thereservoirs thousands of
feet below. The approach to coping with uncertainty asjokingly
reflected in the cartoon below, (Figure 38) is no longer the case
assophisticated computational tools enable predictions to be made
with confidence andwhere uncertainty exists the degree of
uncertainty can be defined.
"We feed the geological data for the area, the computer produces
a schematic topologicaloverview designating high probability key
points, then we stick the printout on the wall andLever throws
darts at it."
Figure 38.
A Past Approach to
Uncertainty!
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40
REFERENCES
1. Craft,B.C. and Hawkins, M.F. Applied Reservoir Engineering,
Prentice-HallInc. 1959
2. Dake, L.P., The Practise of Reservoir Engineering. Elsevier.
19943. Society Of Petroleum Engineers. Reserves Definitions 1995.4.
Chierici,G.L. Prociples of Petroleum Reservoir Engineering. Vol 1
Springer-
Verlag 19945. Hollois,A.P. Some petroleum engineering
considerations in the change over of
the Rough Gas field to the storage mode. Paper EUR 295 Proc
Europec. 1982,pg 175
6. API. A Statistical Study of the Recovery Efficieny. American
PetroleumIntitute. Bull D14, 1st Edition ,1967
7. Archer,J.S. and Wall,C.G. Petroleum Engineering Principles
and Practise,Graham and Trotman ,1986.