Geodesic
Subgrid modeling of filtration and dispersion in a~fractal porous medium
Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 2, pp. 124-134.

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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. 
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G. A. Kuz'min; O. N. Soboleva. Subgrid modeling of filtration and dispersion in a~fractal porous medium. Sibirskij žurnal industrialʹnoj matematiki, Tome 8 (2005) no. 2, pp. 124-134. http://geodesic.mathdoc.fr/item/SJIM_2005_8_2_a11/

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