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A Study on the Effective Hydraulic Conductivity of an Anisotropic Porous Medium

Seong, Kwanjae (Associate Professor, Dept. of Mechanical Engineering Dong Guk University)

Publication Information

Journal of Mechanical Science and Technology / v.16, no.7, 2002 , pp. 959-965 More about this Journal

Abstract

Effective hydraulic conductivity of a statistically anisotropic heterogeneous medium is obtained for steady two-dimensional flows employing stochastic analysis. Flow equations are solved up to second order and the effective conductivity is obtained in a semi-analytic form depending only on the spatial correlation function and the anisotropy ratio of the hydraulic conductivity field, hence becoming a true intrinsic property independent of the flow field. Results are obtained using a statistically anisotropic Gaussian correlation function where the anisotropy is defined as the ratio of integral scales normal and parallel to the mean flow direction. Second order results indicate that the effective conductivity of an anisotropic medium is greater than that of an isotropic one when the anisotropy ratio is less than one and vice versa. It is also found that the effective conductivity has upper and lower bounds of the arithmetic and the harmonic mean conductivities.

Keywords

Effective Hydraulic Conductivity; Groundwater Flow; Heterogeneous Anisotropic Porous medium; Stochastic Analysis;

Citations & Related Records

Reference

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