F. Bignonnet and L. Dormieux, FFT-based bounds on the permeability of complex microstructures, International Journal for Numerical and Analytical Methods in Geomechanics, vol.33, issue.20-22, pp.1707-1723, 2014.
DOI : 10.1002/nag.2278
URL : https://hal.archives-ouvertes.fr/hal-01084229

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

A. Wiegman, Computation of the permeability of porous materials from their microstructure by FFT-Stokes, Report of the Fraunhofer ITWM, vol.129, 1984.

P. C. Gervais, N. Bardin-monnier, and D. Thomas, Permeability modeling of fibrous media with bimodal fiber size distribution, Chemical Engineering Science, vol.73, pp.239-248, 2012.
DOI : 10.1016/j.ces.2012.01.040
URL : https://hal.archives-ouvertes.fr/hal-00674411

S. Rief, A. Latz, and A. Wiegmann, Computer simulation of air filtration including electric surface charges in three-dimensional fibrous micro structures, pp.169-172, 2006.

C. Redenbach, O. Wirjadi, S. Rief, and A. Wiegmann, Modeling of Ceramic Foams for Filtration Simulation, Advanced Engineering Materials, vol.15, issue.3, pp.171-177, 2011.
DOI : 10.1002/adem.201000222

D. Masson, B. Abdallah, F. Willot, D. Jeulin, E. Mercadelli et al., Morphological Modelling of a Metal Foam Supported SOFC Configuration, ECS Transactions, vol.68, issue.1, pp.2951-2960, 2015.
DOI : 10.1149/06801.2951ecst

P. C. Carman, Fluid flow through granular beds, Chemical Engineering Research and Design, vol.75, pp.150-166, 1937.
DOI : 10.1016/S0263-8762(97)80003-2

J. Kozeny, Ueber kapillare leitung des wassers im boden, Sitzungsber Akad Wiss Wien, vol.136, pp.271-306, 1927.

M. Doi, A New Variational Approach to the Diffusion and the Flow Problem in Porous Media, Journal of the Physical Society of Japan, vol.40, issue.2, pp.567-572, 1976.
DOI : 10.1143/JPSJ.40.567

S. Torquato and B. Lu, Rigorous bounds on the fluid permeability: Effect of polydispersivity in grain size, Physics of Fluids A: Fluid Dynamics 2, pp.487-490, 1990.

J. Rubinstein and S. Torquato, Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds, Journal of Fluid Mechanics, vol.1, issue.-1, pp.25-46, 1989.
DOI : 10.1016/0301-9322(82)90047-7

N. S. Martys, S. Torquato, and D. P. Bentz, Universal scaling of fluid permeability for sphere packings, Physical Review E, vol.50, issue.1, p.403, 1994.
DOI : 10.1103/PhysRevE.50.403

B. Abdallah, F. Willot, and D. Jeulin, Stokes Flow Through a Boolean Model of Spheres: Representative Volume Element, Transport in Porous Media, pp.711-726, 2015.
DOI : 10.1007/s11242-015-0545-2
URL : https://hal.archives-ouvertes.fr/hal-01232510

J. J. Martin, L. W. Mccabe, and C. C. Monrad, Pressure drop through stacked spheres. Effect of orientation, Chemical Engineering Progress, vol.47, issue.2, pp.91-94, 1951.

F. J. Richardson and W. N. Zaki, The sedimentation of a suspension of uniform spheres under conditions of viscous flow, Chemical Engineering Science, vol.3, issue.2, pp.65-73, 1954.
DOI : 10.1016/0009-2509(54)85015-9

M. M. Shahmardan, M. Nazari, M. Khaksar, and M. Khatib, A new mathematical model for permeability of composites, Journal of Solid Mechanics, vol.5, issue.4, pp.371-379, 2013.

A. Tamayol and M. Bahrami, Analytical determination of viscous permeability of fibrous porous media, International Journal of Heat and Mass Transfer, vol.52, issue.9-10, pp.2407-2414, 2009.
DOI : 10.1016/j.ijheatmasstransfer.2008.09.032

K. Yazdchi, S. Srivastava, and S. Luding, Microstructural effects on the permeability of periodic fibrous porous media, International Journal of Multiphase Flow, vol.37, issue.8, pp.956-966, 2011.
DOI : 10.1016/j.ijmultiphaseflow.2011.05.003

G. W. Jackson and D. F. James, The permeability of fibrous porous media, The Canadian Journal of Chemical Engineering, vol.22, issue.177, pp.364-374, 1986.
DOI : 10.1002/cjce.5450640302

D. S. Clague, B. D. Kandhai, R. Zhang, and P. M. Sloot, Hydraulic permeability of (un)bounded fibrous media using the lattice Boltzmann method, Physical Review E, vol.61, issue.1, p.616, 2000.
DOI : 10.1103/PhysRevE.61.616

A. Koponen, D. Kandhai, E. Hellen, M. Alava, A. Hoekstra et al., Permeability of Three-Dimensional Random Fiber Webs, Physical Review Letters, vol.80, issue.4, p.716, 1998.
DOI : 10.1103/PhysRevLett.80.716

I. L. Claeys and J. F. Brady, Suspensions of prolate spheroids in Stokes flow. Part 2. Statistically homogeneous dispersions, Journal of Fluid Mechanics, vol.44, issue.-1, pp.443-477, 1993.
DOI : 10.1063/1.866914

M. L. Thomas, D. B. Ingham, and M. Pourkashanian, Prediction of the permeability of fibrous porous media using the lattice Boltzmann method in conjuction with coarse numerical lattices, Open Transport Phenomena Journal, vol.2, pp.80-89, 2010.

B. R. Gebart, Permeability of Unidirectional Reinforcements for RTM, Journal of Composite Materials, vol.7, issue.8, pp.1100-1133, 1992.
DOI : 10.1177/002199839202600802

R. Clavier, N. Chikhi, F. Fichot, and M. Quintard, Experimental investigation on single-phase pressure losses in nuclear debris beds: Identification of flow regimes and effective diameter, Nuclear Engineering and Design, vol.292, pp.222-236, 2015.
DOI : 10.1016/j.nucengdes.2015.07.003

G. Matheron and D. De-la-loi-de, École Nationale Supérieure des Mines, Note Géostatistique No, 1979.

N. Koudina, R. G. Garcia, J. F. Thovert, and P. M. Adler, Permeability of three-dimensional fracture networks, Physical Review E, vol.57, issue.4, p.4466, 1998.
DOI : 10.1103/PhysRevE.57.4466

P. S. Lang, A. Paluszny, and R. W. Zimmerman, Permeability tensor of three-dimensional fractured porous rock and a comparison to trace map predictions, Journal of Geophysical Research: Solid Earth, vol.28, issue.4, pp.6288-6307, 2014.
DOI : 10.1016/0148-9062(91)90597-F

B. Berkowitz, Characterizing flow and transport in fractured geological media: A review, Advances in Water Resources, vol.25, issue.8-12, pp.8-12, 2002.
DOI : 10.1016/S0309-1708(02)00042-8

V. V. Mourzenko, J. F. Thovert, and P. M. Adler, Macroscopic permeability of three-dimensional fracture networks with power-law size distribution, Physical Review E, vol.69, issue.6, p.66307, 2004.
DOI : 10.1103/PhysRevE.69.066307

G. Matheron, Random sets theory and its applications to stereology, Journal of Microscopy, vol.49, issue.1, pp.15-23, 1972.
DOI : 10.1111/j.1365-2818.1972.tb03708.x

R. E. Miles, On the homogeneous planar Poisson point process, Mathematical Biosciences, vol.6, pp.85-127, 1970.
DOI : 10.1016/0025-5564(70)90061-1

D. Jeulin and M. Moreaud, PERCOLATION OF RANDOM CYLINDER AGGREGATES, Image Analysis & Stereology, vol.26, issue.3, pp.121-127, 2011.
DOI : 10.5566/ias.v26.p121-127
URL : https://hal.archives-ouvertes.fr/hal-00906504

E. J. Garboczi, K. A. Snyder, J. F. Douglas, and M. F. Thorpe, Geometrical percolation threshold of overlapping ellipsoids, Physical Review E, vol.52, issue.1, p.819, 1995.
DOI : 10.1103/PhysRevE.52.819

O. Huseby, J. F. Thovert, and P. M. Adler, Geometry and topology of fracture systems, Journal of Physics A: Mathematical and General, vol.30, issue.5, p.1415, 1997.
DOI : 10.1088/0305-4470/30/5/012

H. I. Ene and E. Sanchez-palencia, Équations et phénomènes de surface pour l'écoulement dans un modèle de milieu poreux, Journal de Mécanique, vol.14, issue.1, pp.73-108, 1975.

G. Matheron, Random sets and integral geometry, 1975.

F. Willot, Mean covariogram of a cylinder and applications to Boolean random sets, Journal of Contemporary Mathematical Analysis, 2016.

D. Jeulin, Modèles de fonctions aléatoires multivariables, Sciences de la Terre, vol.30, pp.225-256, 1991.

D. Jeulin, Modèles Morphologiques de Structures Aléatoires et de Changement d'Échelle, 1991.

J. Rubinstein and S. Torquato, Diffusion???controlled reactions: Mathematical formulation, variational principles, and rigorous bounds, The Journal of Chemical Physics, vol.88, issue.10, pp.6372-6380, 1988.
DOI : 10.1063/1.454474

S. Torquato, Microstructure characterization and bulk properties of disordered two-phase media, Journal of Statistical Physics, vol.33, issue.5-6, pp.5-6, 1986.
DOI : 10.1007/BF01020577

W. Gille, The intercept length distribution density of a cylinder of revolution, Experimentelle Technik der Physik 35, pp.93-98, 1987.

J. G. Berryman and G. W. Milton, Normalization constraint for variational bounds on fluid permeability, The Journal of Chemical Physics, vol.83, issue.2, pp.754-760, 1985.
DOI : 10.1063/1.449489

S. Childress, Viscous Flow Past a Random Array of Spheres, The Journal of Chemical Physics, vol.56, issue.6, pp.2527-2539, 1972.
DOI : 10.1063/1.1677576

J. F. Brady and G. Bossis, Stokesian Dynamics, Annual Review of Fluid Mechanics, vol.20, issue.1, pp.111-157, 1988.
DOI : 10.1146/annurev.fl.20.010188.000551

C. K. Tam, The drag on a cloud of spherical particles in low Reynolds number flow, Journal of Fluid Mechanics, vol.1, issue.03, pp.537-546, 1969.
DOI : 10.1103/PhysRev.67.107