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

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