This article is cited in 9 papers

Subgrid modeling of filtration in porous self-similar media

G. A. Kuz'min^a, O. N. Soboleva<sup>b

a</sup> Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
^b Institute of Computational Mathematics and Mathematical Geophysics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090

Abstract: Subgrid modeling of a filtration flow of a fluid in an inhomogeneous porous medium is considered. An expression for the effective permeability coefficient for the large-scale component of the flow is derived using the scale-invariance hypothesis. The model obtained is verified by numerical simulation of the complete problem.

UDC: 532.536

Received: 18.02.2002

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:4, 583–592

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