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FFT‐based bounds on the permeability of complex microstructures
Author(s) -
Bignet F.,
Dormieux L.
Publication year - 2014
Publication title -
international journal for numerical and analytical methods in geomechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.419
H-Index - 91
eISSN - 1096-9853
pISSN - 0363-9061
DOI - 10.1002/nag.2278
Subject(s) - computation , fast fourier transform , permeability (electromagnetism) , microstructure , discretization , mathematics , elasticity (physics) , porosity , algorithm , mathematical analysis , computer science , materials science , geology , chemistry , geotechnical engineering , composite material , membrane , biochemistry
SUMMARY A numerical scheme for the computation of the permeability of complex microstructures is presented. As a darcean counterpart of the FFT‐based scheme in elasticity, the method is designed to be directly coupled with 3D imaging techniques of porous samples, without meshing or definition of an equivalent pore network. The method relies on the variational principle of Hashin and Shtrikman, which ensures a rigorous upper bound status to the estimated permeabilities and provides an energetically consistent rule for heterogeneous voxels comprising both the solid and fluid phases. Copyright © 2014 John Wiley & Sons, Ltd.