H. Ene and E. Sanchez-palencia, Equations et phénomènes de surface pour l'´ ecoulement dans un modèle de milieu poreux, Journal de Mécanique, pp.73-108, 1975.

C. Boutin, Study of permeability by periodic and self-consistent homogenisation, European Journal of Mechanics - A/Solids, vol.19, issue.4, pp.603-632, 2000.
DOI : 10.1016/S0997-7538(00)00174-1
URL : https://hal.archives-ouvertes.fr/hal-00943756

C. Boutin and C. Geindreau, Estimates and bounds of dynamic permeability of granular media, The Journal of the Acoustical Society of America, vol.124, issue.6, pp.3576-3593, 2008.
DOI : 10.1121/1.2999050
URL : https://hal.archives-ouvertes.fr/hal-00941175

M. Blunt, M. Jackson, M. Piri, and P. Valvatne, Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow, Advances in Water Resources, vol.25, issue.8-12, pp.1069-1089, 2002.
DOI : 10.1016/S0309-1708(02)00049-0

G. Desbois, J. Urai, P. Kukla, J. Konstanty, and C. Baerle, High-resolution 3D fabric and porosity model in a tight gas sandstone reservoir:A new approach to investigate microstructures from mm- to nm-scale combining argon beam cross-sectioning and SEM imaging, Journal of Petroleum Science and Engineering, vol.78, issue.2, pp.243-257, 2011.
DOI : 10.1016/j.petrol.2011.06.004

J. Tölke, C. Baldwin, Y. Mu, N. Fang, A. Grader et al., Computer simulations of fluid flow in sediment: from images to permeability. The Leading Edge, pp.68-74, 2010.

D. Bernard, O. Nielsen, L. Salvo, and P. Cloetens, Permeability assessment by 3D interdendritic flow simulations on microtomography mappings of Al???Cu alloys, Materials Science and Engineering: A, vol.392, issue.1-2, pp.112-120, 2005.
DOI : 10.1016/j.msea.2004.09.004
URL : https://hal.archives-ouvertes.fr/hal-00022098

A. Wiegmann, Computation of the permeability of porous materials from their microstructure by fff-stokes, Berichte des Fraunhofer ITWM, vol.129, 2007.

H. Moulinec and P. Suquet, A fast numerical method for computing the linear and non linear properties of composites. Comptes Rendus de l, Académie des Sciences, vol.2, issue.318, pp.1417-1423, 1994.

V. Monchiet, G. Bonnet, and G. Lauriat, A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium, Comptes Rendus M??canique, vol.337, issue.4, pp.192-197, 2009.
DOI : 10.1016/j.crme.2009.04.003
URL : https://hal.archives-ouvertes.fr/hal-00687819

S. Brisard and L. Dormieux, FFT-based methods for the mechanics of composites: A general variational framework, Computational Materials Science, vol.49, issue.3, pp.663-671, 2010.
DOI : 10.1016/j.commatsci.2010.06.009
URL : https://hal.archives-ouvertes.fr/hal-00722339

S. Brisard and L. Dormieux, Combining galerkin approximation techniques and the principle of hashin and shtrikman to improve two fft-based numerical methods for the homogenization of composites, Computer Methods in Applied Mechanics and Engineering, vol.217220, pp.197-212, 2012.

J. Auriault, Upscaling Heterogeneous Media by Asymptotic Expansions, Journal of Engineering Mechanics, vol.128, issue.8, pp.817-822, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:8(817)

J. Auriault and E. Sanchez-palencia, Etude du comportement macroscopique d'un milieu poreux saturé déformable, Journal de Mécanique, vol.16, pp.575-603, 1977.

P. Tardif-d-'hamonville, Modélisation et simulation du transport advectif et diffusif en milieu poreux monophasique et diphasique, 2006.

Z. Hashin and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, Journal of the Mechanics and Physics of Solids, vol.10, issue.4, pp.335-342, 1962.
DOI : 10.1016/0022-5096(62)90004-2

J. Willis, Bounds and self-consistent estimates for the overall properties of anisotropic composites, Journal of the Mechanics and Physics of Solids, vol.25, issue.3, pp.185-202, 1977.
DOI : 10.1016/0022-5096(77)90022-9

R. Barrett, M. Berry, T. Chan, J. Demmel, J. Donato et al., Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods, SIAM, 1994.
DOI : 10.1137/1.9781611971538

A. Sangani and A. Acrivos, Slow flow through a periodic array of spheres, International Journal of Multiphase Flow, vol.8, issue.4, pp.343-360, 1982.
DOI : 10.1016/0301-9322(82)90047-7

Y. Jung and S. Torquato, Fluid permeabilities of triply periodic minimal surfaces, Physical Review E, vol.72, issue.5, 2005.
DOI : 10.1103/PhysRevE.72.056319

H. Moulinec and P. Suquet, A numerical method for computing the overall response of nonlinear composites with complex microstructure, Computer Methods in Applied Mechanics and Engineering, vol.157, issue.1-2, pp.69-94, 1998.
DOI : 10.1016/S0045-7825(97)00218-1
URL : https://hal.archives-ouvertes.fr/hal-01282728

A. Molinari and M. El-mouden, The problem of elastic inclusions at finite concentration, International Journal of Solids and Structures, vol.33, issue.20-22, pp.20-223131, 1996.
DOI : 10.1016/0020-7683(95)00275-8