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Author
Schwartz, L. M. | Martys, N. S. | Bentz, D. P. | Garboczi, E. J. | Torquato, S.
Title
Cross-Property Relations and Permeability Estimation in Model Porous Media.
Coporate
Schlumberger-Doll Research, Ridgefield, CT National Institute of Standards and Technology, Gaithersburg, MD Princeton Univ., NJ
Journal
Physical Review E, Vol. 48, No. 6, 4584-4591, December 1993
Keywords
model porous media | permeability | diffusive properties | electrical properties | equations
Abstract
Results from a numerical study examining cross-property relations linking fluid permeability to diffusive and electrical properties are presented. Numerical solutions of the Stokes equations in three-dimensional consolidated granular packings are employed to provide a basis of comparison between different permeability estimates. Estimates based on the lambda parameter (a length derived from electrical conduction) and on dc (a length derived from immiscible displacement) are found to be considerably more reliable than estimates based on rigorous permeability bounds related to pore space diffusion. We propose two hybrid relations basedon diffusion which provide more accurate estimates than either of the rigorous permeability bounds.