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Reservoir Simulation

Khaled FEKI

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DYNAMIC RESERVOIR SIMULATION

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Computer Modeling

 The reservoir model Fluid flow Equation within the reservoir

The reservoir is modeled by subdividing the reservoir volume into an array, or grid, of smaller volume

elements, which called: gridblock, cell, or node.

 The well model

Fluid flow that represents the extraction of fluids from the reservoir or the injection of fluids into the reservoir

 The well bore mode

Fluid flow from the sand face to the surface

 The surface model

constraints associated with surface facilities, such as platform and separator limitations

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Reservoir simulation model

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Main modeled phenomena

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Types of models

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Types of simulators

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NUMERICAL MODELS: DISCRETIZATION

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A question of Scale

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Prediction Future performance

History Matching

Prediction

Geological Model

Reservoir Simulation Model

Reduce Operation Expenses

Increase Recovery

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Problem definition

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Main Types of Data

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Study approach

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GRID TYPES

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Sugar box geometry

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Reservoir description : PROPERTIES

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Reservoir Discritization

Defination:

the reservoir is described by a set of gridblocks (or gridpoints) whose properties, dimensions, boundaries, and locations in the reservoir are well defined.

 Block centered grid

 Point distributed grid

ΔX ΔY i i+1 i-1 ΔX K.FEKI

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Block Identification and Ordering

• Natural ordering

• Zebra ordering

• Diagonal D2 ordering

• Alternating diagonal

D4 ordering

• Cycle ordering

• Cycle-2 ordering

K.FEKI

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ACTIVE and DEAD CELLS

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CHOICE OF VERTICAL DISCRETIZATION

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Block-centered grid

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Block-centered grid

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CPG grid intercell flow

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Example of CPG reservoir model

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Reservoir layering: Use of log Correlation

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Upscaling

• Optimum

level

of

and

techniques

for upscaling to

minimize errors

Gurpinar, 2001

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Rock properties: Main parameters

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Rock properties: Compressibility

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Horizontal & Vertical Permeability

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Vertical Permeability

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History Matching

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FIRST STEP - GENERAL FIELD MATCH - RUN 1

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Predictions

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Predictions

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Fluid flow equations

Conservation laws

Conservation in mass

Assume:

 Isothermal condition

 complete and instantaneous phase equilibration in each cell

Conservation in energy

Conservation in momentum

Additional constraints

Wells and facilities

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Fluid flow equations

• Type of fluid in the reservoir

• Flow regimes

• Reservoir geometry

• Number of flowing fluids in the reservoir

Incompressible

Slightly compressible

Compressible

Steady State flow

Unsteady State flow

Pseudo Steady State flow

Radial flow

Linear flow

Spherical and Hemispherical flow

Single Phase flow

Two phase flow

Three phase flow

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IN OUT

Reservoir Simulator

Pressure Saturation

Newton-Raphson (IMPLICIT)

all primary variables are calculated at the same time.

IMplicit Pressure Explicit Saturation (IMPES)

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Numerical Models

 Black oil model

 Depletion

 Water Injection

o Component: oil water gas o Phase: Oil water gas

 Gas injection to increase or maintain reservoir pressure

 Miscible flooding as the injection gas goes into solution with oil  Carbon dioxide flooding, with the gas soluble in both oil and water  Thick reservoirs with a compositional gradient caused by gravity  Reservoirs with fluid compositions near the bubblepoint

 High-pressure, high temperature reservoirs  Natural-fracture reservoir modeling.

o Component: C1,C2, ….So2,H2S,N2,.. o Phase: Oil water gas

 Polymer and surfactant injection

o Component: Water oil surfactant alcohol o Phase: Agues oleic microemulsion

Compositional model

Chemical model

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Reservoir simulators

 ECLIPSE

 GPRS

 SENSOR

 NEXUS

 UTCHEM

 Boast 3

 COMET3

 …

 Objective

 Accuracy

 Time

 Limitations

 User friendly

 Easy to integrate

 …

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• Commercial reservoir simulator for over 25 years

• Black-oil

• Compositional

• Thermal

• Streamline

Eclipse reservoir simulator

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Eclipse reservoir simulator

 Local Grid Refinement

 Gas Lift Optimization

 Gas Field Operations

 Gas Calorific Value-Based

Control

 Geomechanics

 Coalbed Methane

 Networks

 Reservoir Coupling

 Flux Boundary

 Environmental Traces

Pseudo-Compositional

EOR Foam

EOR Polymer

EOR Solvent

EOR Surfactant

Wellbore Friction

Multisegmented Wells

Unencoded Gradients

Parallel ECLIPSE

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Grid definition : Example

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Reservoir layering: Quiz

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Thank You!

References

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