FLOW THROUGH ANISOTROPIC POROUS MEDIUM WITH MULTISCALE LOG-NORMAL CONDUCTIVITY

O. N. Soboleva; E. P. Kurochkina

doi:10.1615/JPorMedia.v13.i2.70

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Home > Journals > Journal of Porous Media > Volume 13, 2010 Issue 2 > FLOW THROUGH ANISOTROPIC POROUS MEDIUM WITH MULTISCALE LOG-NORMAL CONDUCTIVITY

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ISSN Print: 1091-028X
ISSN Online: 1934-0508

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Journal of Porous Media

DOI: 10.1615/JPorMedia.v13.i2.70
pages 171-182

FLOW THROUGH ANISOTROPIC POROUS MEDIUM WITH MULTISCALE LOG-NORMAL CONDUCTIVITY

O. N. Soboleva
The Institute of Computational Mathematics and Mathematical Geophysics, SB RAS, 630090 Novosibirsk

E. P. Kurochkina
The Institute of Thermophysics, SB RAS, 630090 Novosibirsk

ABSTRACT

In this paper we study effective coefficients in steady filtration problems for anisotropic mediums. The conductivity is represented mathematically with Kolmogorov’s multiplicative cascade in three-dimensional space. The dimension of solution domain of the problem is considered to be large compared to the sizes of heterogeneities of the medium. The subgrid modeling approach, associated with problems of subsurface hydrodynamics, is presented. Theoretical results are compared to the results of direct 3D numerical modeling and results of conventional perturbation theory.

KEY WORDS: random fields, effective parameters, subgrid modeling, scaling, anisotropy