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

This is the authors' abstract. We don't add key points for this paper.

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.