A. Ahmadi, M. Quintard, and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media, Advances in Water Resources, vol.22, issue.1, pp.59-86, 1998.
DOI : 10.1016/S0309-1708(97)00032-8

G. Barenblatt, I. Zheltov, and I. Kochina, Basic concepts in the theory of homogeneous liquids in fissured rocks, J. Appl. Math. (USSR), vol.24, issue.5, pp.1286-1303, 1960.

G. Belfort, R. H. Davis, and A. L. Zydney, The behavior of suspensions and macromolecular solutions in crossflow microfiltration, Journal of Membrane Science, vol.96, issue.1-2, pp.1-58, 1994.
DOI : 10.1016/0376-7388(94)00119-7

I. Borsi and O. Lorain, A space-averaged model for hollow fibre membranes filters, Computers & Chemical Engineering, vol.39, issue.0, pp.65-74, 2012.
DOI : 10.1016/j.compchemeng.2011.12.017

M. Brusseau and P. Rao, Modeling solute transport in structured soils: a review, Geoderma, vol.46, issue.1-3, pp.169-192, 1990.
DOI : 10.1016/0016-7061(90)90014-Z

F. Cherblanc, A. Ahmadi, and M. Quintard, Two-medium description of dispersion in heterogeneous porous media: Calculation of macroscopic properties, Water Resources Research, vol.32, issue.6, p.1154, 2003.
DOI : 10.1029/2002WR001559
URL : https://hal.archives-ouvertes.fr/hal-00449737

K. Coats and . Smith, Dead-End Pore Volume and Dispersion in Porous Media, Society of Petroleum Engineers Journal, vol.4, issue.01, pp.73-84, 1964.
DOI : 10.2118/647-PA

H. H. Gerke and M. T. Vangenuchten, A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media, Water Resources Research, vol.29, issue.3, pp.305-319, 1993.
DOI : 10.1029/92WR02339

. Gray, A derivation of the equations for multi-phase transport, Chemical Engineering Science, vol.30, issue.2, pp.229-233, 1975.
DOI : 10.1016/0009-2509(75)80010-8

. Issa, Solution of the implicitly discretised fluid flow equations by operator-splitting, Journal of Computational Physics, vol.62, issue.1, pp.40-65, 1985.
DOI : 10.1016/0021-9991(86)90099-9

D. Lasseux, A. Ahmadi, and A. Arani, Two-Phase Inertial Flow in Homogeneous Porous Media: A Theoretical Derivation of a Macroscopic Model, Transport in Porous Media, vol.25, issue.1, pp.371-400, 2003.
DOI : 10.1007/s11242-008-9231-y

D. Lasseux, M. Quintard, and S. Whitaker, Determination of permeability tensors for two-phase flow in homogeneous porous media: Theory, Transport in Porous Media, vol.318, issue.2, pp.107-137, 1996.
DOI : 10.1007/BF00139841

B. Mahr and D. Mewes, Two-phase flow in structured packings: Modeling and calculation on a macroscopic scale, AIChE Journal, vol.31, issue.3, pp.614-626, 2008.
DOI : 10.1002/aic.11400

L. Oxarango, P. Schmitz, and M. Quintard, Laminar flow in channels with wall suction or injection: a new model to study multi-channel filtration systems, Chemical Engineering Science, vol.59, issue.5, pp.1039-1051, 2004.
DOI : 10.1016/j.ces.2003.10.027

. Patankar, Numerical Heat Transfer and Fluid Flow, 1980.

M. Prat, On the boundary conditions at the macroscopic level, Transport in Porous Media, vol.4, issue.3, pp.259-280, 1989.
DOI : 10.1007/BF00138039

M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media. I: Theoretical development of region-averaged equations for slightly compressible single-phase flow, Advances in Water Resources, vol.19, issue.1, pp.29-47, 1996.
DOI : 10.1016/0309-1708(95)00023-C

M. Quintard and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media???III. Large-scale mechanical equilibrium and the regional form of Darcy's law, Advances in Water Resources, vol.21, issue.7, pp.617-629, 1998.
DOI : 10.1016/S0309-1708(97)00015-8

J. Skopp, W. Gardner, and E. Tyler, Solute Movement in Structured Soils: Two-Region Model with Small Interaction1, Soil Science Society of America Journal, vol.45, issue.5, pp.837-842, 1981.
DOI : 10.2136/sssaj1981.03615995004500050002x

C. Soulaine, Modélisation des écoulements dans les garnissages structurés: de l'échelle du pore à l'céhelle de la colonne, 2012.

S. Whitaker, Flow in porous media I: A theoretical derivation of Darcy's law, Transport in Porous Media, vol.12, issue.1, pp.3-25, 1986.
DOI : 10.1007/BF01036523

S. Whitaker, Flow in porous media II: The governing equations for immiscible, two-phase flow, Transport in Porous Media, vol.8, issue.2, pp.105-125, 1986.
DOI : 10.1007/BF00714688

S. Whitaker, THE ROLE OF THE VOLUME-AVERAGED TEMPERATURE IN THE ANALYSIS OF NONISOTHERMAL, MULTIPHASE TRANSPORT PHENOMENA, Chemical Engineering Communications, vol.1, issue.1-6, pp.171-183, 1987.
DOI : 10.1016/0009-2509(84)80028-7

S. Whitaker, The closure problem for two-phase flow in homogeneous porous media, Chemical Engineering Science, vol.49, issue.5, pp.765-780, 1994.
DOI : 10.1016/0009-2509(94)85021-6

S. Whitaker, The Method of Volume Averaging, Theory And Applications of Transport in Porous Media, vol.13, 1999.
DOI : 10.1007/978-94-017-3389-2

L. Zeman and A. Zydney, Microfiltration and Ultrafiltration: Principles and Applications, 1996.