Random Walk Algorithms for Estimating Effective Properties of Digitized Porous Media*

Simonov N. A. and Mascagni M.
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Simonov N. A.: Institute of Computational Mathematics and Mathematical Geophysics, Novosibirsk, Russia The School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida, USA
Mascagni M.: The School of Computational Science and Information Technology, Florida State University, Tallahassee, Florida, USA Department of Computer Science, Florida State University, Tallahassee, Florida, USA

Monte Carlo Methods and Applications, 2004, vol. 10, issue 3-4, 599-608

Abstract: In this paper we describe a Monte Carlo method for permeability calculations in complex digitized porous structures. The relation between the permeability and the diffusion penetration depth is established. The corresponding Dirichlet boundary value problem is solved by random walk algorithms. The results of computational experiments for some random models of porous media confirm the log-normality hypothesis for the permeability distribution.

Date: 2004
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DOI: 10.1515/mcma.2004.10.3-4.599

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