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10 - Solvers for Incompressible Immiscible Flow

from Part III - Multiphase 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 teaches you how to simulate incompressible, two-phase flow using a sequential formulation that splits the equation system into an elliptic pressure equation and a hyperbolic (or parabolic) saturation equation. We discuss fluid objects, the sequential solution procedure, and explicit and implicit transport solvers in some detail. The second part of the chapter is devoted to a number of simulation examples that highlight typical flow behavior. Examples include gravity segregation, homogeneous quarter five-spots, heterogeneous quarter five-spots with viscous fingering, and buoyant migration of CO2 in a sloping aquifer. Furthermore, we discuss water coning, gravity override, capillary fringes, and a simplified simulation of the Norne field model. We end the chapter by a discussion of various sources of numerical errors, including splitting and grid-orientation errors.

Keywords

transport solversincompressible two-phase flowsequential splittinggravity effectsviscous effectssplitting errorsgrid-orientation errorsMRST
Type
Chapter
Information
An Introduction to Reservoir Simulation Using MATLAB/GNU Octave
User Guide for the MATLAB Reservoir Simulation Toolbox (MRST)
 , pp. 289 - 336
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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