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@article{Westbroek:2018:10.1103/PhysRevE.97.042119,
author = {Westbroek, MJE and Coche, G-A and King, PR and Vvedensky, DD},
doi = {10.1103/PhysRevE.97.042119},
journal = {Physical Review E: Statistical, Nonlinear, and Soft Matter Physics},
pages = {1--5},
title = {Evaluation of the path integral for flow through random porous media},
url = {http://dx.doi.org/10.1103/PhysRevE.97.042119},
volume = {97},
year = {2018}
}

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TY  - JOUR
AB  - 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.
AU  - Westbroek,MJE
AU  - Coche,G-A
AU  - King,PR
AU  - Vvedensky,DD
DO  - 10.1103/PhysRevE.97.042119
EP  - 5
PY  - 2018///
SN  - 1539-3755
SP  - 1
TI  - Evaluation of the path integral for flow through random porous media
T2  - Physical Review E: Statistical, Nonlinear, and Soft Matter Physics
UR  - http://dx.doi.org/10.1103/PhysRevE.97.042119
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000429776400004&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://journals.aps.org/pre/abstract/10.1103/PhysRevE.97.042119
UR  - http://hdl.handle.net/10044/1/58937
VL  - 97
ER  -

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