This article is cited in 1 paper

Subgrid modeling of filtration and dispersion in a fractal porous medium

G. A. Kuz'min^a, O. N. Soboleva<sup>b

a</sup> Institute of Thermophysics, Siberian Branch of the Russian Academy of Science
^b Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences

Abstract: The equations are obtained for effective coefficients of correlated random fields of permeability and porosity in a fractal porous medium. The fields have log-normal distributions. The refined perturbation theory is formulated that uses some ideas of the Wilson renormalization group. The theoretical results are compared with the results of a direct numerical modeling and the results of the conventional perturbation theory. The advantages of the refined perturbation theory over the conventional perturbation theory are demonstrated.

UDC: 532.536

Received: 17.03.2005

 English version: Journal of Applied and Industrial Mathematics, 2007, 1:1, 50–58

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