TY - JOUR
T1 - Numerical simulation for a two-phase porous medium flow problem with rate independent hysteresis
AU - Brokate, M.
AU - Botkin, N.D.
AU - Pykhteev, O.A.
N1 - 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.
PY - 2012/5
Y1 - 2012/5
N2 - 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.
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.
UR - http://hdl.handle.net/10754/599015
UR - https://linkinghub.elsevier.com/retrieve/pii/S0921452611006119
UR - http://www.scopus.com/inward/record.url?scp=84858449634&partnerID=8YFLogxK
U2 - 10.1016/j.physb.2011.06.048
DO - 10.1016/j.physb.2011.06.048
M3 - Article
SN - 0921-4526
VL - 407
SP - 1336
EP - 1339
JO - Physica B: Condensed Matter
JF - Physica B: Condensed Matter
IS - 9
ER -