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Reservoir engineeringReservoir conditions and development tasks Basic 19 min read

Reservoir engineering: tasks across the life of a field

Reservoir engineering is the branch of engineering that answers questions about an accumulation (a deposit of oil or gas in the rock). How much oil and gas does it contain? What part of it can we recover? How long will that take? And which method is the most profitable way to do it? In Russian-language practice, field development specialists — development engineers, who plan and run the production of a field — do this work. In English they are called reservoir engineers.

Why it matters

We cannot see a reservoir. We judge it from a few wells, from seismic data (images of the rock layers made with sound waves) and from production history. On this basis people take decisions worth hundreds of millions of dollars: how many wells to drill and where, which facilities to build, whether to inject water, and when to stop production. This lesson is a map of the subject. It shows which tasks the reservoir engineer solves at each stage in the life of a field, with what data and with how much uncertainty. It also shows which lesson of the library treats each task in detail.

Quick refresher

  • Development has three questions. How much oil and gas is in the accumulation (oil and gas in place)? What part can we recover (the recovery factor and the recoverable reserves)? How long will it take (the production profile: how much we produce in each year)? The answers rest on the properties of rocks and fluids, the laws of flow and the sources of reservoir energy.
  • Data arrive gradually: first seismic data, then wells with logs (measurements along the hole), core (rock cylinders cut from the well) and fluid samples, then well tests, and finally production history. The range of estimates narrows but does not disappear, and the best estimate can move up or down.
  • Recoverable reserves depend not on the reservoir alone but on the reservoir together with the development plan. The library's illustrative reservoir yields about 17% of its oil by depletion (production on its own energy until the pressure falls to 5 MPa) and about 40% under waterflooding.
  • Every reservoir is unique. The properties of an analogue (a similar, better-known reservoir) are only a first estimate. We keep refining the description of our own reservoir throughout the life of the field, and the most informative data arrive during production.
  • After waterflooding, oil remains in two forms. Residual oil stays in the swept pores (the pores the water has passed through). Bypassed oil stays where the water has not reached. In the library's illustrative reservoir there is twice as much bypassed oil as residual oil, and we recover the two parts by different means.
  • A decline curve (the fall of production with time) extends a trend. Two or three points do not fix its shape, yet the remaining reserves and the life of the field depend on that shape.
Key relationships
N=Vp (1−Swi)BoiN = \frac{V_p\,(1 - S_{wi})}{B_{oi}}

oil initially in place, found from the pore volume of the accumulation, the initial water saturation and the formation volume factor (how much space one unit of surface oil takes in the reservoir)

Np=ER N,ER=ED EA EVN_p = E_R\,N,\qquad E_R = E_D\,E_A\,E_V

oil produced and the recovery factor under waterflooding, built from displacement (how completely water pushes oil out of the rock it touches) and sweep (how much of the reservoir the water touches)

NorN=EAEV (1−ED),NuN=1−EAEV\frac{N_{or}}{N} = E_AE_V\,(1 - E_D),\qquad \frac{N_u}{N} = 1 - E_AE_V

residual oil in the swept pores, and oil outside the swept volume (each as a share of the oil in place)

q=qi e−Dt,ΔNp=365 q1−q2Dq = q_i\,e^{-Dt},\qquad \Delta N_p = 365\,\frac{q_1 - q_2}{D}

exponential decline (the rate falls by the same fraction in every equal period of time): the rate in m³/d, the decline rate DD in 1/year, and the production between two rates in m³

Common pitfalls
  • Treating reserves as known once and for all. We re-estimate them as new wells and production history come in.
  • Copying a recovery factor from an analogue field without adjusting it for your own reservoir, your own oil and your own development system.
  • Mixing up oil in place and recoverable reserves, and reservoir volumes and surface volumes.
  • Trusting a model only because it matches the production history. Different models often match the same history equally well.
  • Extending a decline curve across a change in operating mode, such as drilling new wells, starting injection or workovers (repair work on wells).

After this lesson you can

  • name the three main questions of reservoir engineering — how many hydrocarbons the accumulation holds, what part we can recover and how long it will take — and the four kinds of knowledge on which the answers are built: rocks, fluids, flow and reservoir energy (the natural pressure that pushes oil and gas towards the wells)
  • for each stage in the life of a field (exploration and appraisal, planning, production and the late stage), list what data appear, what decisions we make and what uncertainty remains
  • explain why recoverable reserves depend not only on the reservoir but also on the development plan, and why every reservoir is unique
  • describe what a reservoir engineer receives from geologists, petrophysicists (specialists who work out rock properties from well measurements and core samples), laboratories and well testers, and what the engineer passes on to drilling engineers, production engineers, economists and the project documents
  • split the oil left after waterflooding (injecting water to push oil towards the producing wells) into residual oil and bypassed oil, and name the ways of recovering each part; extend a production decline curve and judge how much the forecast depends on the shape of the curve
  • find the library lesson for each development task

The three questions of reservoir engineering

Oil and gas lie thousands of metres down, in the pores of rock. We cannot see the whole reservoir. We judge it from a few wells, from seismic sections (pictures of the layers made with sound waves) and from the way the reservoir responds to production. Between the wells lie hundreds of metres that nobody has seen. The reservoir engineer's task is to build, from scattered measurements, a picture on which expensive decisions can rest.

The work comes down to three questions and one constant duty:

  1. How much? — the hydrocarbons in place: the oil initially in place and the gas in the reservoir. We calculate them from the rock volume, the porosity (the share of the rock that is pore space), the saturation (the share of the pore space filled with oil, gas or water) and the fluid properties (Volumetric estimation of hydrocarbons in place).
  2. What part? — the recovery factor (the fraction of the oil in place that we can produce) and the recoverable reserves. The fraction depends on the rocks and fluids, on the natural energy of the accumulation and on how we develop it (Reservoir drive mechanisms, Why water is injected: pressure maintenance and oil displacement).
  3. How fast? — the production profile: how much oil, gas and water we will produce year by year, how many wells that needs and how large the facilities must be (Well inflow: the well performance diagram, the profile in the project model).
  4. And throughout, reservoir management: comparing actual performance with the forecast, explaining the differences, and making proposals for the wells and for how they are operated.

No single formula gives the answers. They rest on four groups of knowledge: about rocks, fluids, flow and reservoir energy. On top of these come calculations of displacement (how one fluid pushes another out of the rock) and simulation (a computer model of the reservoir). In the library each group has its own lessons.

What development is built on
What you need to know
Rock properties
Main quantities
porosity, permeability (how easily fluid flows through the rock), saturation, capillary pressure (the pull of surface tension in narrow pores), relative permeabilities (how easily each fluid flows when several share the pores)
What you need to know
Fluid properties
Main quantities
composition, bubble point pressure (the pressure at which gas starts to come out of the oil), solution gas–oil ratio (the gas dissolved in the oil), formation volume factors, viscosity (how thick the fluid is)
What you need to know
Flow and wells
Main quantities
Darcy's law (the basic law of flow through rock), flow regimes, productivity, skin factor
What you need to know
Reservoir energy
Main quantities
compressibility (the expansion of fluids and rock as the pressure falls), solution gas, gas cap (free gas above the oil), aquifer (water-bearing rock connected to the reservoir)
What you need to know
Displacement and models
Main quantities
displacement and sweep efficiencies, fractional flow (the share of water in the flowing liquid), the reservoir simulation model

Stages in the life of a field

A field goes from the first exploration well to the abandonment (closing and sealing) of the last well. It is convenient to divide this path into four stages. Each stage has its own main question, its own data and its own decisions. The boundaries between the stages are a matter of convenience. We estimate the reserves throughout the life of the field, and we start to collect data for the project already during exploration.

Stages in the life of a field: production profile and range of the estimate of recoverable reservesExplorationand appraisalPlanning andconstructionProductionand surveillanceLate stageand abandonmentproductionbuild-upplateaudeclineabandonmentfirst oilestimate of recoverable reservesultimate recoverytime (not to scale)

Diagram of four vertical bands, one for each stage: exploration and appraisal, planning and construction, production and surveillance, late stage and abandonment. The upper part shows the production profile. There is no production in the first two stages. From the start of the third stage it rises, holds at a plateau, then falls smoothly until abandonment at the end of the fourth stage. The lower part shows five vertical bars, each the range of the estimate of recoverable reserves, with a dot for the best estimate. The first bar is very long, and the following ones are shorter and shorter. The last bar almost coincides with the dashed line of ultimate recovery. The best estimate is first slightly below the dashed line, then above it, and then comes close to it.

SchematicThe life of a field (schematic, not to scale): the stages, the production profile and the range of the estimate of recoverable reserves. The vertical bars show the range of the estimate at different moments. The dots show the best estimate. The dashed line is what we will in the end produce. The range narrows as data arrive, and the best estimate moves sometimes up and sometimes down.
Stages and tasks of the reservoir engineer
Stage
Exploration and appraisal
Main question
is there an accumulation, how much oil does it hold, and is it worth developing
What the reservoir engineer does
estimates the oil in place and its range, the fluid type and well productivity; plans appraisal work
Stage
Planning
Main question
how to develop it
What the reservoir engineer does
compares options: the drive mechanism (the source of energy), injection, the number and type of wells, and the plateau rate (the steady rate that production holds for some years); builds forecasts and their ranges
Stage
Production
Main question
is the reservoir behaving as expected
What the reservoir engineer does
compares actual performance with the forecast, refines the model and the reserves, proposes wells and interventions
Stage
Late stage
Main question
where the oil is left and when to stop
What the reservoir engineer does
looks for where moveable oil (oil that can still flow) remains, makes the case for new wells, enhanced oil recovery methods (ways to get more oil out than the usual methods) and the date of abandonment

A single reservoir shows how such work looks in numbers. The same illustrative oil reservoir runs through the lessons of this section. Its pore volume (the volume of all the pores) is 16.0 million m³ and its initial water saturation is 0.25. Its initial pressure is 30 MPa. Its bubble point pressure is 18 MPa at 85 °C. Different lessons solve different problems for it, and the results agree with one another:

One reservoir, different problems
Problem
Oil in place and oil properties
Result for the illustrative reservoir
NN = 9.06 million m³ (7.70 million t); solution gas–oil ratio 110 m³/m³, BoiB_{oi} = 1.324
Problem
Natural drive
Result for the illustrative reservoir
compressibility drive (the oil and rock expand as the pressure falls) down to the bubble point pressure yields about 3.4% of the oil in place; below it, solution gas drive (gas coming out of the oil pushes it towards the wells) takes over
Problem
Checking the oil in place against production
Result for the illustrative reservoir
material balance (production set against the fall in pressure) on the pressure and production history gives about 9.05 million m³ — the volumetric estimate is confirmed
Problem
Forecast without injection
Result for the illustrative reservoir
a plateau of 1200 m³/d lasts about 1.2 years; by 5 MPa, after 9.4 years, 17.3% of the oil in place has been produced
Problem
Waterflooding
Result for the illustrative reservoir
displacement efficiency 0.667 and sweep efficiency 0.85⋅0.700.85\cdot0.70 — about 40% of the oil in place
Problem
Where the oil will remain
Result for the illustrative reservoir
residual and bypassed oil after waterflooding
Lesson
the section on the late stage below

The data of this reservoir are assumed for illustration. Because the data are consistent, we can compare the results of the lessons with one another.

Exploration and appraisal: how much oil there is and whether it is worth producing

After a discovery the reservoir engineer has hardly any data of their own: one or two wells, seismic maps, well logs, a few metres of core, fluid samples and a well test. From these data the engineer must answer one question: is it worth spending more money?

The main result of this stage is not a single figure for the oil in place. It is a range, together with an understanding of which uncertainty affects the decision most. Appraisal wells (wells drilled to find out how big the discovery is), 3D seismic (seismic data that give a three-dimensional picture) and extended well tests (longer trial production) cost money and time. They are worth doing only if they can change the decision. We decide which data to buy, and when, with a decision tree and the value of information. How appraisal work narrows the range is covered in the lesson on technical uncertainty.

Planning: options, forecasts and uncertainty

Once we have decided that the accumulation is worth developing, the reservoir engineer and other specialists look for the best way to do it. A development option is a set of decisions:

For each option we build a forecast of oil, gas and water production and of injection volumes. At early stages we use simple calculations: material balance (General material balance equation for oil reservoirs), a forecast for the drive mechanism of the reservoir (Performance prediction for solution gas drive reservoirs) and a displacement calculation (Buckley–Leverett theory and the Welge method). For heterogeneous reservoirs (reservoirs whose properties vary from place to place) and complex systems we use a reservoir simulation model (What a reservoir simulation model is and why it is needed). We compare the options on their economics — net present value (the value today of all future income less costs) — and on their risks (Sensitivity analysis and scenarios).

Uncertainty at this stage is still large, and a good project deals with it openly. It is useful to ask not what we do not know about the reservoir, but which gap in our knowledge could change the decision:

Project decisions and the uncertainties they depend on
Decision
How many wells and where
What it depends on
structure of the accumulation, faults, reservoir connectivity (whether the parts of the reservoir are linked)
How the uncertainty is reduced
3D seismic, appraisal wells, pressure measurements layer by layer (Cross-sections from maps, map combination and faults on maps, Reservoir architecture and performance)
Decision
Whether injection is needed and how much
What it depends on
aquifer strength (how much water the neighbouring water-bearing rock can push in), bubble point pressure, compressibility
How the uncertainty is reduced
PVT studies (laboratory tests of how the fluid behaves as pressure and temperature change), pressure history during the extended well test (Aquifer models: water influx)
Decision
When the water will arrive
What it depends on
heterogeneity (how much the rock properties vary from place to place), high-permeability layers, relative permeabilities, oil viscosity
How the uncertainty is reduced
core, well logs, special core analysis (Relative permeability, Displacement in heterogeneous reservoirs)
Decision
Which facilities to build
What it depends on
rates, gas–oil ratio (gas produced with each unit of oil) and water cut (the share of water in the produced liquid) by year
How the uncertainty is reduced
well tests, extended well tests (Skin factor, Inflow performance relationship (IPR))

The order of importance is different for every field. A useful check is to ask whether the extreme value of this uncertainty would change the chosen option. We buy data first where the answer is “yes”.

How to arrange the surface facilities of the field is a separate topic (Field development concepts: surface facilities). It covers where to put the gathering points, how to treat and transport oil and gas, and what to build onshore and offshore.

Production: reservoir surveillance

When production starts, the reservoir for the first time responds to being produced on its full scale, and now the most informative data arrive. We call the systematic collection and analysis of these data reservoir surveillance:

  • oil, gas and water rates of every well, the gas–oil ratio and the water cut
  • reservoir pressure, found when wells are shut in (Pressure build-up analysis, Build-up in a bounded reservoir and average reservoir pressure), and layer-by-layer pressure measurements in new wells, which show which layers are being drained (emptied of oil) and which are not
  • inflow and injection profiles along the wellbore (how much each interval produces or takes), and the positions of the contacts, from production logging (measurements made in working wells)
  • composition and properties of the production, injection volumes and pressures

We compare these data with the forecast. A complete match is rare, and the engineer must understand why. Is the reservoir worse or better than we thought? Did water arrive along a thin layer? Did a fault divide the accumulation into blocks? Are the wells working with a damaged near-wellbore zone (the rock around the well, which drilling or production can clog)? The answer changes both the model and the plan. We drill additional wells, move wells to other layers, change injection, and carry out well treatments such as matrix acidising and hydraulic fracturing (Formation damage and damage skin, Acid treatments: principle, economics and candidate selection, Hydraulic fracturing: purpose and well selection).

Example of reasoning: the gas–oil ratio of the wells is rising
  1. 1
    Compare the pressure with the bubble point pressure

    If the average reservoir pressure has fallen below the bubble point pressure, free gas comes out of the oil in the reservoir. A rising gas–oil ratio is then what we expect from solution gas drive (Performance prediction for solution gas drive reservoirs).

  2. 2
    Look at which wells are affected

    If the gas–oil ratio rises mainly in wells close to the gas–oil contact and stays the same in the distant wells, the gas most likely comes from the gas cap. It has broken through along a high-permeability layer, or it is coning (gas drawn down towards the well in a cone shape) (Water and gas coning).

  3. 3
    Check the well itself

    A leak in the casing (the steel pipe that lines the well), or gas flowing from a neighbouring layer through the annulus behind the casing (the space between the casing and the rock), gives the same sign. We check for these with surveys in the well.

  4. 4
    Choose measures and update the forecast

    Limit production from the wells where gas has broken through, move the perforated interval (the part of the casing opened to the reservoir), start or increase injection, and recalculate the forecast to include the new picture.

New data also improve the description of the reservoir. Material balance on the pressure and production history checks the oil in place and whether water is flowing in from the aquifer (water influx) (General material balance equation for oil reservoirs, History matching of aquifer parameters). We adjust the reservoir simulation model until it reproduces the history (History matching). A good match is necessary for a reliable forecast, but it is not enough: the same history often fits different models.

The simplest way to extend a forecast is to continue the production trend along a decline curve. This is quick and needs no model. But the curve knows nothing about the causes of the decline, and two or three points do not fix its shape. More is in the advanced section on decline curves.

Late stage: where the oil is left and when to stop

Sooner or later the production of every accumulation begins to fall. The pressure declines, water or gas reaches the wells, and their share in the production grows. We slow the decline with artificial lift (pumps and other equipment that help to lift the liquid up the well) (Artificial lift: when it is needed and how to choose the method), with new wells between the old ones, by redistributing injection, and by treating the near-wellbore zone. According to how we act on the reservoir, we usually divide production into three stages of recovery:

Primary recovery
Production using only the natural energy of the reservoir: compressibility, solution gas, the gas cap and the aquifer (Reservoir drive mechanisms). Artificial lift belongs here too. A pump helps to lift the liquid up the well, but it adds no energy to the reservoir.
Secondary recovery
Injection of water or gas to maintain the pressure and displace the oil (Why water is injected: pressure maintenance and oil displacement, Displacement of oil by gas).
Tertiary recovery — enhanced oil recovery methods
Enhanced oil recovery (EOR): methods that change the properties of the fluids or the way they interact with the rock. They are thermal (steam, in-situ combustion, which burns part of the oil in the reservoir), miscible gas (carbon dioxide or hydrocarbon gas that mixes with the oil), chemical (polymers that thicken the water, surfactants that lower the surface tension) and microbial. A broader idea is improved oil recovery (IOR): increasing recovery by any means, including new wells and injection management.

The stages do not have to come in order. We often start waterflooding in the first years of development, and we develop accumulations of high-viscosity oil (very thick oil) with steam from the very beginning.

To choose how to continue, we need to know where the oil is left and in what form. After waterflooding it remains in two forms. Residual oil consists of droplets that capillary forces (the forces of surface tension in narrow pores) have trapped in the swept pores. Only methods that change those forces can recover it. Bypassed oil is the oil in the parts of the reservoir that the water has not reached (in Russian-language practice, unswept “pillars” of oil). It is mobile (it can still flow), and we can reach it with new wells or by redistributing injection.

Where the oil is left after waterflooding
NpN=ED EAEV,NorN=EAEV (1−ED),NuN=1−EAEV\frac{N_p}{N} = E_D\,E_AE_V,\qquad \frac{N_{or}}{N} = E_AE_V\,(1 - E_D),\qquad \frac{N_u}{N} = 1 - E_AE_V
where:
  • NNoil initially in place, m³ (standard conditions)
  • NpN_poil produced by waterflooding, m³
  • NorN_{or}residual oil in the swept (contacted) pores, m³
  • NuN_uoil outside the sweep — in the parts of the reservoir that the water has not reached, m³
  • EDE_Ddisplacement efficiency — the fraction of the oil displaced from the swept pores, fraction
  • EAEVE_AE_Vsweep efficiency — the product of the sweep over the area (areal) and over the thickness (vertical), fraction

Units: fractions; volumes in the same units

Holds when
  • The displacement and sweep efficiencies are those of the lesson Why water is injected: pressure maintenance and oil displacement. Their product is the recovery factor.
  • The pressure is maintained, the oil formation volume factor hardly changes and there is no free gas. So the shares of the oil in place equal the shares of the oil-saturated pore volume.
  • In the bypassed part the oil saturation is the initial one, and in the swept part it is the residual one. In reality, partly swept zones with an in-between saturation lie between them. So the split is a simplified picture, and it exaggerates the contrast between the parts.

The three fractions add up to one. The first is what we have produced. The second is the target of enhanced oil recovery methods that lower the residual saturation. The third is the target of new wells, injection management and methods that improve sweep (for example, polymer flooding, which thickens the injected water so that it sweeps more of the reservoir).

Worked exampleWhere the oil of the illustrative reservoir will be left after waterflooding
Given (assumed data)
Initial water saturation; residual oil saturation
SwiS_{wi} = 0.25; SorS_{or} = 0.25 (core experiments)
Sweep at the end of the waterflood (estimate from the reservoir model)
EAE_A = 0.85; EVE_V = 0.70
Two ways to continue
new wells and redistribution of injection raise the sweep EAEVE_AE_V to 0.70; an enhanced oil recovery method reduces the residual oil saturation in the swept pores to 0.15
Solution
  1. Displacement efficiency: ED=(1−0.25−0.25)/(1−0.25)=0.667E_D = (1 - 0.25 - 0.25)/(1 - 0.25) = 0.667; sweep: EAEV=0.85⋅0.70=0.595E_AE_V = 0.85\cdot0.70 = 0.595.
  2. The fraction of the oil in place produced by waterflooding: 0.667⋅0.595=0.3970.667\cdot0.595 = 0.397, that is, 0.397⋅9.06=3.600.397\cdot9.06 = 3.60 million m³.
  3. Residual oil in the swept pores: 0.595⋅(1−0.667)=0.1980.595\cdot(1 - 0.667) = 0.198, or 1.79 million m³.
  4. Bypassed oil: 1−0.595=0.4051 - 0.595 = 0.405, or 3.67 million m³. In all, 5.46 million m³ remains in the reservoir, of which 67% is bypassed.
  5. A larger sweep: 0.667⋅(0.70−0.595)⋅9.06=0.630.667\cdot(0.70 - 0.595)\cdot9.06 = 0.63 million m³ of additional oil.
  6. A lower residual saturation: in the swept pores the fraction (0.25−0.15)/0.75(0.25 - 0.15)/0.75 of the initial oil is set free, and the extra oil is 0.595⋅0.10/0.75⋅9.06=0.720.595\cdot0.10/0.75\cdot9.06 = 0.72 million m³.
Answer: Waterflooding will recover 3.60 million m³ (39.7% of the oil in place); 1.79 million m³ of residual oil and 3.67 million m³ of bypassed oil will remain in the reservoir. Extending the sweep will add about 0.63 million m³, and reducing the residual saturation about 0.72 million m³.

What it means. Two thirds of the oil that remains is bypassed oil, which is mobile. We reach it with the means of waterflooding itself: new wells, redistribution of injection, and evening out the injection profile (so that all layers take water more equally). Residual oil needs enhanced oil recovery methods. In the example both routes give similar volumes but cost different amounts. The choice depends on cost, on risk and on how reliably we know the sweep and the residual saturation. This is why, at the late stage, the main work of the reservoir engineer is to find exactly where the mobile oil is left. The tools are pressure and saturation measurements in new wells, production logging and a model matched to the production history. The data in this example are assumed for illustration.

When production no longer pays for its own costs, we reach the economic limit (how it is calculated). Then the wells are abandoned (closed and sealed), the facilities are taken down and the land is reclaimed (restored for other use). The cost of abandonment is an obligation, and we build it into the economics of the project from the very beginning (abandonment in the project model).

Why every reservoir is unique

No two reservoirs are the same. Accumulations in the same horizon (the same rock layer) on neighbouring uplifts (raised parts of the structure) can differ in the structure of the trap (the rock structure that holds the oil), in layering, in oil properties and in aquifer strength. They can also respond differently to the same development system. So a project copied from a neighbouring field without changes is a frequent source of errors. The experience of analogues is a starting point, which we check against the field's own data.

Here, incomplete knowledge is not an oversight. It is a condition of the work. Every new well tests the map at one point, and such tests often change the map. They shift a contact, or find a fault that divides the accumulation into blocks with different pressures, or find a layer along which the injected water will escape. We cannot wait until the description is complete, because the money we invest does not come back until there is production. So we make decisions on incomplete data — but in such a way that we can correct them when more data arrive.

  • We keep the estimate as a range and revise it with every new set of data (Geological and technical uncertainty of a project).
  • We make decisions that are hard to change later, on more data, and easily corrected ones earlier. Development begins with the better-understood part of the accumulation.
  • We compare a reservoir with analogues by physics (rocks, fluids, drive mechanism, development system), not by its position next to them on the map.
  • The project includes data gathering: pressure measurements, well tests, coring and sampling in new wells. Data are cheapest to get while the well is being drilled.

The reservoir engineer and neighbouring disciplines

The reservoir engineer gets almost all the input numbers from other people: geologists and geophysicists, petrophysicists, laboratories and well testers. The engineer's job is to combine these data into one consistent reservoir model, and to turn them into forecasts. Others will use the forecasts to drill, to build and to count the money. So it is important to understand where the numbers come from, how far we can trust them and what will be done with them next.

What the reservoir engineer receives from neighbouring disciplines and passes on to themRECEIVESPASSES ONGeology, seismicstructure, faults,facies, rock volumePetrophysicsporosity,saturation, thicknessesLaboratoriescore and samples:kr, fluid propertiesWell testspressure, kh, skin,reservoir boundariesDrillingtargets, trajectories,expected pressuresProduction, facilitiesoil, gas, water rates,injection volumesEconomicsproduction profiles,reserves and rangesProject documentsdevelopment plan,reserves estimateReservoirengineerreservoir model,options,forecastsproduction historyrefines the model

Diagram with three columns. On the left are four rectangles: geology and seismic (structure, faults, facies, rock volume); petrophysics (porosity, saturation, thicknesses); laboratories (core and samples, relative permeabilities and fluid properties); well tests (pressure, kh, skin, reservoir boundaries). Arrows from them meet at the central rectangle “Reservoir engineer: reservoir model, options, forecasts”. From the centre, arrows go to four rectangles on the right: drilling (targets and trajectories, expected pressures); production and facilities (oil, gas and water rates, injection); economics (production profiles, reserves and ranges); project documents (development plan, reserves estimate). Under the central rectangle there is a dashed loop with an arrow and the label: production history refines the model.

SchematicWhat the reservoir engineer receives from neighbouring disciplines and what is passed on to them (schematic). krk_r — relative permeabilities, khkh — flow capacity. The production history returns to the engineer and refines the reservoir model.
What the reservoir engineer receives and what is passed on
Discipline
Geology and geophysics
Receives from it
structure maps, faults, facies (rock types set by the conditions of deposition), rock volume, the structural model (Structure maps and contouring, Reservoir architecture and performance)
Passes to it
contacts and boundaries from pressure measurements, information on connectivity, differences between the forecast and actual performance
Discipline
Petrophysics
Receives from it
porosity, saturation, net thicknesses (the thickness of rock that can produce) (Log interpretation workflow)
Passes to it
permeability from well tests, for comparison with core and well logs
Discipline
Laboratories
Receives from it
properties of fluids and core, relative permeabilities, capillary pressure (Core analysis, Laboratory PVT tests)
Passes to it
programmes of sampling and testing
Discipline
Drilling and completion (making the well ready to produce)
Receives from it
actual trajectories, well designs, quality of reservoir penetration (Well completion: opening the reservoir and the tubing string)
Passes to it
well locations and targets, expected reservoir pressures, productivity requirements
Discipline
Production and facilities
Receives from it
actual rates and pressures, equipment limits (Nodal analysis of the production system)
Passes to it
forecasts of oil, gas and water production and of injection volumes — the basis for selecting equipment and the capacity of facilities
Discipline
Economics
Receives from it
prices, costs, taxes, decision criteria (Net present value (NPV))
Passes to it
production profiles, reserves and their ranges (Cash flow model of an oil and gas project)

The links work both ways. The development forecast sets the number of wells and the capacity of the facilities. The limits of the facilities — for example, how much water a treatment plant can handle — in turn become limits on the forecast. A good forecast is agreed with everyone who will build and pay on its basis.

The common language of exchange is units and reference conditions (the temperature and pressure to which volumes are referred). We cannot add a forecast in barrels at 60 °F to measurements in cubic metres at 20 °C without converting. And we cannot compare a pressure read on a wellhead gauge with a pressure from the model without correcting for atmospheric pressure (Systems of units: SI, oilfield and metric oilfield).

Terms and symbols

Oil in place and recoverable reserves
Oil (gas) in place is all the oil (gas) in the accumulation. Recoverable reserves are the part that we can produce under the chosen development system and economic conditions.
Recovery factor (RF)
The fraction of the oil in place that we can produce. Under waterflooding, it is the product of the displacement efficiency and the sweep efficiency.
Production profile; plateau
Production by year over the life of the field. The plateau is the period of highest, roughly constant production, limited by the capacity of the facilities and the number of wells.
Reservoir surveillance
The systematic collection and analysis of measurements of rates, pressures, water cut and gas–oil ratio, to compare them with the forecast.
History matching
Adjusting the reservoir simulation model until it reproduces the history of pressure and production.
Analogue field
A well-studied field that is similar in rocks, fluids and reservoir conditions. It is the source of initial estimates for a new field.
Residual and bypassed oil
Residual oil is trapped in the swept pores. Bypassed oil (“pillars” in Russian-language practice) lies where the displacing agent has not reached, and it remains mobile.
Primary, secondary and tertiary recovery; EOR
Recovery by natural energy; recovery by injection of water or gas; recovery by enhanced oil recovery methods, which change the properties of the fluids or the way they interact with the rock.
Decline curve
The dependence of rate on time during the decline stage. Extending it to the economic limit gives a quick estimate of the remaining recoverable reserves.

Common mistakes and misconceptions

Wrong

“The reserves have been approved, so they are known.”

In fact

Approved reserves are the best estimate at the date when they were calculated. We re-estimate them as wells are drilled and production goes on, and the changes can go either way.

Wrong

“We will take the recovery factor from the neighbouring field.”

In fact

An analogue gives a guide, but the recovery factor depends on the heterogeneity of the reservoir, the viscosity of the oil, the drive mechanism and the development system. We can transfer it only after comparing these factors.

Wrong

“The model reproduced the history, so the forecast is reliable.”

In fact

Different models often reproduce the same history equally well, yet give different forecasts. We judge reliability from a set of models and check it with new data (History matching).

Wrong

“After waterflooding only residual oil is left in the reservoir — only enhanced oil recovery methods will help now.”

In fact

In the illustrative reservoir of the lesson there is twice as much bypassed, mobile oil as residual oil. We reach it with new wells and injection management, which usually costs less than enhanced oil recovery methods.

Wrong

“A decline curve can be extended from two points.”

In fact

Both an exponential and a hyperbola can pass through two points, and the remaining reserves they give differ by one and a half times. We choose the shape of the curve from a long history and from the physics of the decline.

In depth: advanced detail

Decline curves: a quick forecast and its limits

When production is already falling and the operating mode of the wells does not change, the simplest approach is to continue the observed trend. This kind of decline curve analysis needs neither a model nor reservoir properties. So people use it widely for quick estimates of the remaining recoverable reserves of single wells and areas. Its limits come from the same fact: the curve does not know why the rate is falling.

Exponential decline
q=qi e−Dt,ΔNp=365 q1−q2Dq = q_i\,e^{-Dt},\qquad \Delta N_p = 365\,\frac{q_1 - q_2}{D}
where:
  • q, qiq,\ q_irate at time tt and at the initial time, m³/d
  • DDnominal decline rate, 1/year
  • tttime from the initial moment, years
  • ΔNp\Delta N_pproduction while the rate falls from q1q_1 to q2q_2, m³

Units: rate in m³/d, time in years, production in m³

Holds when
  • The rate falls by the same fraction in equal intervals of time.
  • The operating mode does not change: no new wells, no moving of wells to other layers (recompletion), no changes of injection and no limits set by the facilities.
  • The factor 365 converts the product “m³/d × year” into cubic metres.

On a plot of the logarithm of the rate against time, an exponential decline is a straight line. In the coordinates “rate against cumulative production” (the total produced so far) it is also a straight line, with slope −D/365-D/365 (rate in m³/d, production in m³). We extend it to the economic limit to get the remaining recoverable reserves.

We must tell the nominal rate DD of exponential decline from the effective rate dd. The nominal rate DD is the exponent. The effective rate dd is the fraction by which the rate falls in one year: d=1−e−Dd = 1 - e^{-D}. In the project of the lesson Cash flow model of an oil and gas project, production is continued on an assumed decline “by 30% a year”. This is an effective rate. The nominal rate for it is −ln⁡0.7=0.357-\ln 0.7 = 0.357 1/year. The lesson Annuities and discounted production shows how to discount production that declines exponentially (to bring it to today's value).

The decline often slows down with time. The rate then falls along a hyperbola with an exponent bb from 0 (exponential) to 1 (harmonic decline). This happens, for example, in solution gas drive, and in reservoirs made up of layers of different permeability with no crossflow between them (no fluid moving from one layer to another). The permeable layers are depleted quickly and the tight ones slowly, so the total decline slows with time. An exponent greater than 1 describes transient flow in tight reservoirs (flow that is still changing with time, in rock that lets fluid through only very slowly), and we cannot extend such a curve over decades. Together, the exponential, hyperbolic and harmonic relations are called the Arps decline curves.

Hyperbolic decline
q=qi(1+bDit)1/b,Np=365 qi(1−b) Di[1−(qqi)1−b]q = \frac{q_i}{(1 + bD_it)^{1/b}},\qquad N_p = 365\,\frac{q_i}{(1 - b)\,D_i}\left[1 - \left(\frac{q}{q_i}\right)^{1-b}\right]
where:
  • bbexponent of the curve: 0 is exponential, 1 is harmonic decline, —
  • DiD_iinitial nominal decline rate, 1/year
  • NpN_pproduction from the initial moment until the rate equals qq, m³

Units: as in the equation for exponential decline

Holds when
  • 0<b<10 < b < 1. As b→0b \to 0 the formulas turn into the exponential ones, and at b=1b = 1 the production is 365 (qi/Di)ln⁡(qi/q)365\,(q_i/D_i)\ln(q_i/q).
  • We fit the exponent bb to a long history. Without a long history, the choice of bb is only an assumption.

The decline rate of the hyperbola, Di/(1+bDit)D_i/(1 + bD_it), falls with time, so its “tail” is longer and holds more reserves than that of an exponential passing through the same measurements.

Worked exampleRemaining reserves of an area from two annual measurements
Given (assumed data)
Average rate of the area at the start and at the end of the year
420 and 336 m³/d
Economic limit
60 m³/d
Second hypothesis
hyperbolic decline with bb = 0.5 through the same two points
Solution
  1. Effective decline rate: d=1−336/420=0.20d = 1 - 336/420 = 0.20; nominal: D=−ln⁡(336/420)=0.2231D = -\ln(336/420) = 0.2231 1/year.
  2. Production over the past year on the exponential: 365⋅(420−336)/0.2231=137.4365\cdot(420 - 336)/0.2231 = 137.4 thousand m³.
  3. Remaining reserves down to the limit: 365⋅(336−60)/0.2231=451.5365\cdot(336 - 60)/0.2231 = 451.5 thousand m³; time: ln⁡(336/60)/0.2231=7.72\ln(336/60)/0.2231 = 7.72 years.
  4. A hyperbola with bb = 0.5 through the same points: Di=(420/336−1)/0.5=0.2361D_i = (\sqrt{420/336} - 1)/0.5 = 0.2361 1/year. Production over the past year is 137.1 thousand m³, almost as much as on the exponential.
  5. Remaining reserves on the hyperbola: the factor 365⋅420/(0.5⋅0.2361)=1,298,602365\cdot420/(0.5\cdot0.2361) = 1{,}298{,}602 m³, the difference 336/420−60/420=0.5165\sqrt{336/420} - \sqrt{60/420} = 0.5165, and the product is 670.7 thousand m³. The limit will be reached (420/60−1)/(0.5⋅0.2361)=13.94(\sqrt{420/60} - 1)/(0.5\cdot0.2361) = 13.94 years after the first measurement, that is, 12.94 years after the second one.
  6. A year after the second measurement the exponential will predict 268.8 m³/d and the hyperbola 274.9 (a difference of 2.3%); a year later, 215.0 and 229.0 (6.5%).
Answer: On the exponential the area will yield a further 451.5 thousand m³ over 7.72 years, on the hyperbola about 670.7 thousand m³ over 12.94 years, which is 49% more.

What it means. Both curves describe the past year equally well, yet their forecasts differ by one and a half times. We can tell the two apart from measurements only after several years. The rates usually scatter by a few per cent, so the first years are almost indistinguishable. So we choose the shape of the curve not from two points but from a long history, from the behaviour of similar wells and from the physics of the decline. If watering-out (a rising water cut) under waterflooding causes the decline, its course is tied to displacement (Buckley–Leverett theory and the Welge method). If depletion of a closed block causes it, the course is tied to material balance (General material balance equation for oil reservoirs). The exponential usually gives the more cautious estimate, but only as long as the operating mode does not change. The data in this example are assumed for illustration.

Exponential and hyperbolic decline through the same annual measurements, and the economic limit036912154060100200400600Time from the first measurement, yearsRate, m³/dtwo measurementsexponentialhyperbola, b = 0.5economic limit 60 m³/d8.7 years13.9 years

Plot of the rate in cubic metres per day on a logarithmic scale from 40 to 600 against time from 0 to 15 years. There are two measurement points: 420 at the start and 336 a year later. Through them pass the straight line of exponential decline and the curve of hyperbolic decline, which bends like a bowl (convex downward) and runs higher. The horizontal dashed line at 60 is the economic limit. The exponential crosses it at 8.7 years, and the hyperbola crosses it at 13.9 years.

CalculatedTwo decline curves through the same measurements (dots): the exponential — a straight line on a logarithmic scale — and a hyperbola with bb = 0.5. The dashed line is the economic limit of 60 m³/d. The exponential reaches it 8.7 years after the first measurement, and the hyperbola reaches it 13.9 years after the first measurement.

Connections to other topics

Check yourself

  1. 1

    An accumulation is being developed with waterflooding. What part of the oil that remains in it can we recover without enhanced oil recovery methods?

    1. A.Oil dissolved in the injected water
    2. B.Bypassed oil in the parts of the reservoir that the water has not reached
    3. C.None: after waterflooding the oil is immobile
    4. D.Residual oil in the swept pores
    Show the answer

    Correct answer: B. Bypassed oil in the parts of the reservoir that the water has not reached

    In the unswept zones the oil saturation is close to its initial value, and the oil is mobile. We reach it with new wells, redistribution of injection and evening out the injection profile. Capillary forces hold the residual oil in the swept pores, and only methods that change those forces can recover it.

  2. 2

    Why can the recoverable reserves of one and the same accumulation differ twofold with the same geological data?

    Show the answer

    Recoverable reserves are the product of the oil in place and the recovery factor, and the recovery factor depends on the development system and the economic conditions. The library's illustrative reservoir yields about 17% of its oil by depletion to 5 MPa and about 40% under waterflooding. The number of wells, the date when injection starts and the economic limit also change the result.

  3. 3

    Which data at the start of development directly show whether the layers and blocks of an accumulation are connected to each other?

    1. A.A structure map from seismic
    2. B.Layer-by-layer pressure measurements in new wells and the change of pressure during production
    3. C.Porosity from well logs
    4. D.The density of stock-tank oil
    Show the answer

    Correct answer: B. Layer-by-layer pressure measurements in new wells and the change of pressure during production

    If neighbouring wells drain a layer or block, its pressure is lower than the initial pressure. If they do not, the pressure stays at the initial value. So pressure measurements in new wells, and the change of pressure during production, directly show connectivity. Well logs and seismic show the structure, but not whether the parts are connected.

  4. 4

    The rate of an area fell from 500 to 425 m³/d in one year. What are the effective and nominal decline rates? How much oil will the area yield down to the economic limit of 75 m³/d if the decline is exponential?

    Show the answer

    The effective decline rate is d=1−425/500=0.15d = 1 - 425/500 = 0.15. The nominal rate is D=−ln⁡0.85=0.1625D = -\ln 0.85 = 0.1625 1/year. The remaining reserves are 365⋅(425−75)/0.1625≈786365\cdot(425 - 75)/0.1625 \approx 786 thousand m³, and the time is ln⁡(425/75)/0.1625≈10.7\ln(425/75)/0.1625 \approx 10.7 years. If the decline is in fact hyperbolic, the reserves will be larger and the life longer.

  5. 5

    Which of these decisions is more sensible to take later, on the data of the first wells?

    1. A.The locations of second-phase wells on the less well-studied flank of the accumulation
    2. B.The size of an offshore platform
    3. C.The capacity of the oil treatment plant
    4. D.The diameter of the main pipeline
    Show the answer

    Correct answer: A. The locations of second-phase wells on the less well-studied flank of the accumulation

    We build the pipeline, the platform and the plant before production starts, and we can hardly change them later. So we choose them with the whole range of forecasts in mind. It makes sense to choose the well locations in a poorly studied area later, when the first wells have improved our picture of the reservoir structure. This is how a project uses the value of new information.

  6. 6

    What does the reservoir engineer pass to production engineers and facility designers, and why is it not a single figure?

    Show the answer

    The engineer passes on forecasts, year by year, of oil, gas and water production and of injection volumes. They are used to select equipment and the capacity of the facilities. What is passed on is not a single estimate but a range. The facilities must cope with both the low case and the high case, for example with an early rise in water cut, when more water has to be treated and injected.

Updated: 16 October 2026