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Sibirskii Zhurnal Industrial'noi Matematiki, 2005, Volume 8, Number 2, Pages 124–134 (Mi sjim308)  
This article is cited in 1 scientific paper (total in 1 paper)

Subgrid modeling of filtration and dispersion in a fractal porous medium

G. A. Kuz'mina, O. N. Sobolevab

a 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
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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.
Received: 17.03.2005
English version:
Journal of Applied and Industrial Mathematics, 2007, Volume 1, Issue 1, Pages 50–58
DOI: https://doi.org/10.1134/S1990478907010061
Bibliographic databases:
UDC: 532.536
Language: Russian
Citation: G. A. Kuz'min, O. N. Soboleva, “Subgrid modeling of filtration and dispersion in a fractal porous medium”, Sib. Zh. Ind. Mat., 8:2 (2005), 124–134; J. Appl. Industr. Math., 1:1 (2007), 50–58
Citation in format AMSBIB
\Bibitem{KuzSob05}
\by G.~A.~Kuz'min, O.~N.~Soboleva
\paper Subgrid modeling of filtration and dispersion in a~fractal porous medium
\jour Sib. Zh. Ind. Mat.
\yr 2005
\vol 8
\issue 2
\pages 124--134
\mathnet{http://mi.mathnet.ru/sjim308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2220147}
\transl
\jour J. Appl. Industr. Math.
\yr 2007
\vol 1
\issue 1
\pages 50--58
\crossref{https://doi.org/10.1134/S1990478907010061}
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  • https://www.mathnet.ru/eng/sjim308
  • https://www.mathnet.ru/eng/sjim/v8/i2/p124
    • This publication is cited in the following 1 articles:
    1. Soboleva O.N., Kurochkina E.P., “Subgrid Modelling of Convective Diffusion in a Multiscale Random Medium”, Russ. J. Numer. Anal. Math. Model, 34:3 (2019), 151–162  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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