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Title: Cross-property relations and permeability estimation in model porous media

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 [ital d][sub [ital c]] (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 based on diffusion which provide more accurate estimates than either of the rigorous permeability bounds.

Authors:
; ; ; ;  [1]
  1. Schlumberger-Doll Research, Old Quarry Road, Ridgefield, Connecticut 06877-4108 (United States) National Institute of Standards and Technology, Building Materials Division, Gaithersburg, Maryland 20899 (United States) Princeton Materials Institute, 70 Prospect Avenue, Princeton University, Princeton, New Jersey 08540-5211 (United States)
Publication Date:
OSTI Identifier:
5539312
Resource Type:
Journal Article
Journal Name:
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)
Additional Journal Information:
Journal Volume: 48:6; Journal ID: ISSN 1063-651X
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; FLUID FLOW; PERMEABILITY; GRANULAR MATERIALS; CORRELATIONS; DARCY LAW; DIFFUSION; ELECTRIC CONDUCTIVITY; NAVIER-STOKES EQUATIONS; NUMERICAL SOLUTION; POROUS MATERIALS; THREE-DIMENSIONAL CALCULATIONS; DIFFERENTIAL EQUATIONS; ELECTRICAL PROPERTIES; EQUATIONS; MATERIALS; PARTIAL DIFFERENTIAL EQUATIONS; PHYSICAL PROPERTIES; 665000* - Physics of Condensed Matter- (1992-)

Citation Formats

Schwartz, L M, Martys, N, Bentz, D P, Garboczi, E J, and Torquato, S. Cross-property relations and permeability estimation in model porous media. United States: N. p., 1993. Web. doi:10.1103/PhysRevE.48.4584.
Schwartz, L M, Martys, N, Bentz, D P, Garboczi, E J, & Torquato, S. Cross-property relations and permeability estimation in model porous media. United States. doi:10.1103/PhysRevE.48.4584.
Schwartz, L M, Martys, N, Bentz, D P, Garboczi, E J, and Torquato, S. Wed . "Cross-property relations and permeability estimation in model porous media". United States. doi:10.1103/PhysRevE.48.4584.
@article{osti_5539312,
title = {Cross-property relations and permeability estimation in model porous media},
author = {Schwartz, L M and Martys, N and Bentz, D P and Garboczi, E J and Torquato, S},
abstractNote = {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 [ital d][sub [ital c]] (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 based on diffusion which provide more accurate estimates than either of the rigorous permeability bounds.},
doi = {10.1103/PhysRevE.48.4584},
journal = {Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics; (United States)},
issn = {1063-651X},
number = ,
volume = 48:6,
place = {United States},
year = {1993},
month = {12}
}