Subgrid Modeling of Filtration in a Porous Medium with Multiscale Log-Stable permeability

Kuzmin G. A. and Soboleva O. N.
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Kuzmin G. A.: Institute of Thermophysics SB RAS, Novosibirsk, Russia
Soboleva O. N.: Institute of Computational Mathematics and Mathematical Geophysics, Academic Lavrentiev prospekt, 6, 630090 Novosibirsk, Russia

Monte Carlo Methods and Applications, 2004, vol. 10, issue 3-4, 369-376

Abstract: Subgrid modeling of a filtration flow of a fluid in a inhomogeneous porous medium is considered. An expression for the effective permeability coefficient for the large-scale component of the flow is derived using a scale-invariant hypothesis. The permeability coefficient possesses a log-stable distribution.

Date: 2004
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DOI: 10.1515/mcma.2004.10.3-4.369

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