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FFT-Based Homogenization of Permeability Using a Hashin-Shtrikman Type Variational Framework
A numerical scheme for the computation of the permeability of complex microstructures is presented. As a darcean counterpart of the Fast Fourier Transform (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-Shtrikman which ensures a rigorous upper bound status to the estimated permeabilities and provides an energetically consistent discretization of Green operators and of the viscosity of heterogeneous voxels comprising both solid and fluid.
FFT-Based Homogenization of Permeability Using a Hashin-Shtrikman Type Variational Framework
A numerical scheme for the computation of the permeability of complex microstructures is presented. As a darcean counterpart of the Fast Fourier Transform (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-Shtrikman which ensures a rigorous upper bound status to the estimated permeabilities and provides an energetically consistent discretization of Green operators and of the viscosity of heterogeneous voxels comprising both solid and fluid.
FFT-Based Homogenization of Permeability Using a Hashin-Shtrikman Type Variational Framework
Bignonnet, F. (author) / Dormieux, L. (author)
Fifth Biot Conference on Poromechanics ; 2013 ; Vienna, Austria
Poromechanics V ; 1245-1254
2013-06-18
Conference paper
Electronic Resource
English
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