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Journal of Applied Mechanics and Technical Physics

2002 year, number 4

Subgrid modeling of filtration in porous self-similar media

G. A. Kuz'min and O. N. Soboleva*
Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090;
*Institute of Computational Mathematics and Mathematical Geophysics,
Siberian Division, Russian Academy of Sciences, Novosibirsk 630090
Pages: 583-592

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.