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Detailed Reference Information |
Pozdniakov, S. and Tsang, C. (2004). A self-consistent approach for calculating the effective hydraulic conductivity of a binary, heterogeneous medium. Water Resources Research 40: doi: 10.1029/2003WR002617. issn: 0043-1397. |
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In this paper, we consider an approach for estimating the effective hydraulic conductivity of a 3-D medium with a binary distribution of local hydraulic conductivities. The medium heterogeneity is represented by a combination of matrix medium conductivity with spatially distributed sets of inclusions. Estimation of effective conductivity is based on a self-consistent approach introduced by Shvidler <1985>. The tensor of effective hydraulic conductivity is calculated numerically by using a simple system of equations for the main diagonal elements. Verification of the method is done by comparison with theoretical results for special cases and numerical results of Desbarats <1987> and our own numerical modeling. The method was applied to estimating the effective hydraulic conductivity of a 2-D and 3-D fractured porous medium. The medium heterogeneity is represented by a combination of matrix conductivity and a spatially distributed set of highly conductive fractures. The tensor of effective hydraulic conductivity is calculated for parallel- and random-oriented sets of fractures. The obtained effective conductivity values coincide with Romm's <1966> and Snow's <1969> theories for infinite fracture length. These values are also physically acceptable for the sparsely fractured medium case with low fracture spatial density and finite fracture length. Verification of the effective hydraulic conductivity obtained for a fractured porous medium is done by comparison with our own numerical modeling for a 3-D case and with Malkovsky and Pek's <1995> results for a 2-D case. |
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Abstract |
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Keywords
Physical Properties of Rocks, Permeability and porosity, Physical Properties of Rocks, Fracture and flow, Hydrology, Groundwater hydrology, Hydrology, Groundwater transport, effective hydraulic conductivity, fractured porous medium, heterogeneity, self-consistent approach |
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Publisher
American Geophysical Union 2000 Florida Avenue N.W. Washington, D.C. 20009-1277 USA 1-202-462-6900 1-202-328-0566 service@agu.org |
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