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. 
@article{SJIM_2005_8_2_a11,
     author = {G. A. Kuz'min and O. N. Soboleva},
     title = {Subgrid modeling of filtration and dispersion in a~fractal porous medium},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {124--134},
     publisher = {mathdoc},
     volume = {8},
     number = {2},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2005_8_2_a11/}
}
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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/