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

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

doi:10.1016/j.physb.2011.06.048

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

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

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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 language	English (US)
Pages (from-to)	1336-1339
Number of pages	4
Journal	Physica B: Condensed Matter
Volume	407
Issue number	9
DOIs	https://doi.org/10.1016/j.physb.2011.06.048
State	Published - May 2012
Externally published	Yes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): UK-C0020
Acknowledgements: This publication is based on work supported by Award No. UK-C0020, made by King Abdullah University of Science and Technology (KAUST).
This publication acknowledges KAUST support, but has no KAUST affiliated authors.

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10.1016/j.physb.2011.06.048

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title = "Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis",

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. {\textcopyright} 2011 Elsevier B.V. All rights reserved.",

author = "M. Brokate and N.D. Botkin and O.A. Pykhteev",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledged KAUST grant number(s): UK-C0020 Acknowledgements: This publication is based on work supported by Award No. UK-C0020, made by King Abdullah University of Science and Technology (KAUST). This publication acknowledges KAUST support, but has no KAUST affiliated authors.",

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doi = "10.1016/j.physb.2011.06.048",

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AU - Brokate, M.

AU - Botkin, N.D.

AU - Pykhteev, O.A.

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AB - 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.

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JO - Physica B: Condensed Matter

JF - Physica B: Condensed Matter

IS - 9

ER -

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

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