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5 - Incompressible Solvers for Single-Phase Flow

from Part II - Single-Phase Flow

Published online by Cambridge University Press:  22 July 2019

Knut-Andreas Lie
Knut-Andreas Lie
Affiliation:
SINTEF, Norway
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Summary

This chapter explains how the mathematical models from Chapter 4 are implemented and integrated to form a full simulator. To this end, we introduce data structures to represent fluid behavior, the reservoir state, boundary conditions, source terms, and wells. We then explain in detail how the two-point flux approximation (TPFA) scheme is implemented in MRST for general unstructured grids. We also outline the basic solver used to compute time-of-flight and tracer partitions. We end the chapter by presenting a few examples that demonstrate how to set up simulations in MRST and set appropriate boundary conditions, source terms, or well models. The examples include the famous quarter-five spot problem, a corner-point grid with four intersecting faults, and a model of a shallow-marine reservoir (SAIGUP).

Keywords

Incompressible flowtwo-point flux approximation methoddata structuresfluid propertiesboundary conditionssource termswellsreservoir statetransmissibilityquarter-five spotunstructured gridscorner-point gridsPeaceman
Type
Chapter
Information
An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
User Guide for the MATLAB Reservoir Simulation Toolbox (MRST)
 , pp. 143 - 173
Publisher: Cambridge University Press
Print publication year: 2019
Creative Commons
Creative Common License - CCCreative Common License - BYCreative Common License - NCCreative Common License - ND
This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/cclicenses/

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