Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis
KAUST Grant NumberUK-C0020
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AbstractThe paper is devoted to the numerical simulation of a multiphase flow in porous medium with a hysteretic relation between the capillary pressures and the saturations of the phases. The flow model we use is based on Darcys law. The hysteretic relation between the capillary pressures and the saturations is described by a play-type hysteresis operator. We propose a numerical algorithm for treating the arising system of equations, discuss finite element schemes and present simulation results for the case of two phases. © 2011 Elsevier B.V. All rights reserved.
CitationBrokate M, Botkin ND, Pykhteev OA (2012) Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis. Physica B: Condensed Matter 407: 1336–1339. Available: http://dx.doi.org/10.1016/j.physb.2011.06.048.
SponsorsThis publication is based on work supported by Award No. UK-C0020, made by King Abdullah University of Science and Technology (KAUST).
JournalPhysica B: Condensed Matter