Evaluation of the path integral for flow through random porous media

被引：4

作者：

Westbroek, Marise J. E. ^{[1
,2
]}

Coche, Gil-Arnaud ^{[3
]}

King, Peter R. ^{[1
]}

Vvedensky, Dimitri D. ^{[2
]}

机构：

[1] Imperial Coll London, Dept Earth Sci & Engn, London SW7 2BP, England

[2] Imperial Coll London, Blackett Lab, London SW7 2AZ, England

[3] Accuracy, 41 Rue Villiers, F-92200 Neuilly Sur Seine, France

来源：

PHYSICAL REVIEW E | 2018年 / 97卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

NUMERICAL-SIMULATION; FLUID-FLOW;

D O I：

10.1103/PhysRevE.97.042119

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We present a path integral formulation of Darcy's equation in one dimension with random permeability described by a correlated multivariate lognormal distribution. This path integral is evaluated with the Markov chain Monte Carlo method to obtain pressure distributions, which are shown to agree with the solutions of the corresponding stochastic differential equation for Dirichlet and Neumann boundary conditions. The extension of our approach to flow through random media in two and three dimensions is discussed.

引用

页数：5

共 50 条

[31] Modeling the flow through porous media
Ene, HI
EMERGING TECHNOLOGIES AND TECHNIQUES IN POROUS MEDIA, 2004, : 25 - 41
[32] FLOW OF SUSPENSIONS THROUGH POROUS MEDIA
HERZIG, JP
LECLERK, D
LEGOFF, P
CHEMISCHE TECHNIK, 1970, 22 (03): : 185 - &
[33] Foam flow through porous media
Johnson, P.
Starov, V
Trybala, A.
CURRENT OPINION IN COLLOID & INTERFACE SCIENCE, 2022, 58
[34] Fractal dimension for tortuous flow path in porous media
Yu, BM
Feng, YJ
Li, ZH
Huang, MT
MULTIPHASE, NON-NEWTONIAN AND REACTING FLOWS, VOL 2, PROCEEDINGS, 2004, : 449 - 453
[35] A geometry model for tortuosity of flow path in porous media
Yu, BM
Li, JH
CHINESE PHYSICS LETTERS, 2004, 21 (08) : 1569 - 1571
[36] Nonstationary flow and nonergodic transport in random porous media
Darvini, G.
Salandin, P.
WATER RESOURCES RESEARCH, 2006, 42 (12)
[37] Stochastic characterization of multiphase flow in random porous media
Ghanem, R
Dham, S
COMPUTER METHODS AND WATER RESOURCES III, 1996, : 315 - 322
[38] An evaluation of lattice Boltzmann equation methods for simulating flow through porous media
Pan, C
Luo, LS
Miller, CT
Computational Methods in Water Resources, Vols 1 and 2, 2004, 55 : 95 - 106
[39] Collective particle flow through random media
Watson, J
Fisher, DS
PHYSICAL REVIEW B, 1996, 54 (02): : 938 - 954
[40] Unsteady flow of gas through porous media
Hetherington, CR
MacRoberts, DT
Huntington, RL
TRANSACTIONS OF THE AMERICAN INSTITUTE OF MINING AND METALLURGICAL ENGINEERS, 1942, 146 : 166 - 174

← 1 2 3 4 5 →