Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis

M. Brokate, N.D. Botkin, O.A. Pykhteev

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

The 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.
Original languageEnglish (US)
Pages (from-to)1336-1339
Number of pages4
JournalPhysica B: Condensed Matter
Volume407
Issue number9
DOIs
StatePublished - May 2012
Externally publishedYes

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