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Communication Dans Un Congrès Année : 2013

FFT-based homogenization of permeability using a Hashin-Shtrikman type variational framework

François Bignonnet
L. Dormieux
  • Fonction : Auteur

Résumé

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.
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Dates et versions

hal-04262557 , version 1 (27-10-2023)

Identifiants

Citer

François Bignonnet, L. Dormieux. FFT-based homogenization of permeability using a Hashin-Shtrikman type variational framework. Fifth Biot Conference on Poromechanics, C. Hellmich, B. Pichler, D. Adam, Jul 2013, Vienne, Austria. pp.1245-1254, ⟨10.1061/9780784412992.149⟩. ⟨hal-04262557⟩
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