Electrical and fluid transport in consolidated sphere packs

We calculate geometrical and transport properties (electrical conductivity, permeability, specific surface area, and surface conductivity) of a family of model granular porous media from an image based representation of its microstructure. The models are based on the packing described by Finney and...

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Bibliographic Details
Published in:Journal of applied physics 2015-05, Vol.117 (18)
Main Authors: Zhan, Xin, Schwartz, Lawrence M., Toksöz, M. Nafi
Format: Article
Language:English
Subjects:
Applied physics
Electrical resistivity
Finite difference method
Identification methods
Image processing
Image resolution
Permeability
Porosity
Porous media
Transport properties
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Description
Summary:We calculate geometrical and transport properties (electrical conductivity, permeability, specific surface area, and surface conductivity) of a family of model granular porous media from an image based representation of its microstructure. The models are based on the packing described by Finney and cover a wide range of porosities. Finite difference methods are applied to solve for electrical conductivity and hydraulic permeability. Two image processing methods are used to identify the pore-grain interface and to test correlations linking permeability to electrical conductivity. A three phase conductivity model is developed to compute surface conductivity associated with the grain-pore interface. Our results compare well against empirical models over the entire porosity range studied. We conclude by examining the influence of image resolution on our calculations.
ISSN:0021-8979
1089-7550
DOI:10.1063/1.4918724