A. Ahmadi, M. Quintard, and S. Whitaker, Transport in chemically and mechanically heterogeneous porous media V: Two-equation model for solute transport with adsorption, Adv. Water Resour, vol.22, pp.59-86, 1998.

R. Aris, On the dispersion of a solute in a fluid flowing through a tube, Proc. A, vol.235, pp.67-77, 1956.

J. Auriault, Taylor dispersion in porous media: Analysis by multiple scale expansions, Adv. Water Resour, vol.18, pp.217-226, 1995.

T. Babey, J. De-dreuzy, and C. Casenave, Multi-rate mass transfer (MRMT) models for general diffusive porosity structures, Adv. Water Resour, vol.76, pp.146-156, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01102049

A. Bensoussan, J. Lions, and G. Papanicolau, Asymptotic Analysis for Periodic Structures, Stud. Math. Appl, 1978.

B. Berkowitz, A. Cortis, M. Dentz, and H. Scher, Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys, p.44, 2006.

B. Berkowitz, H. Scher, and S. E. Silliman, Anomalous transport in laboratory-scale, heterogeneous porous media, Water Resour. Res, vol.36, pp.149-158, 2000.

B. Bijeljic, A. Raeini, P. Mostaghimi, and M. J. Blunt, Predictions of non-Fickian solute transport in different classes of porous media using direct simulation on pore-scale images, Phys. Rev. E, p.87, 2013.

H. Brenner, Dispersion resulting from flow through spatially periodic porous media, Philos. Trans. R. Soc. A, vol.297, pp.81-133, 1980.

H. Brenner and D. A. Edwards, Macrotransport Processes, 1993.

H. Brezis, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.

P. Chatwin, The approach to normality of the concentration distribution of a solute in a solvent flowing along a straight pipe, J. Fluid Mech, vol.43, pp.321-352, 1970.

F. Cherblanc, A. Ahmadi, and M. Quintard, Two-medium description of dispersion in heterogeneous porous media: Calculation of macroscopic properties, Water Resour. Res, vol.39, pp.1154-1173, 2003.
URL : https://hal.archives-ouvertes.fr/hal-00449737

F. Cherblanc, A. Ahmadi, and M. Quintard, Two-domain description of solute transport in heterogeneous porous media: Comparison between theoretical predictions and numerical experiments, Adv. Water Resour, vol.30, pp.1127-1143, 2007.
URL : https://hal.archives-ouvertes.fr/hal-01174041

K. H. Coats and B. D. Smith, Dead-end pore volume and dispersion in porous media, Soc. Petroleum Engineers J, pp.73-84, 1964.

J. H. Cushman, L. S. Bennethum, and B. X. Hu, A primer on upscaling tools for porous media, Adv. Water Resour, vol.25, pp.1043-1067, 2002.

J. H. Cushman and T. R. Ginn, Nonlocal dispersion in media with continuously evolving scales of heterogeneity, Transp. Porous Media, vol.13, pp.123-138, 1993.

Y. Davit, C. G. Bell, H. M. Byrne, L. A. Chapman, L. S. Kimpton et al., Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?, Adv. Water Resour, vol.62, pp.178-206, 2013.

Y. Davit and M. Quintard, Comment on Frequency-dependent dispersion in porous media, Phys. Rev. E, vol.86, pp.1-4, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00815751

Y. Davit and M. Quintard, Theoretical Analysis of Transport in Porous Media: Multiequation and Hybrid Models for a Generic Transport Problem with Nonlinear Source Terms, Handbook of Porous Media, 2015.

Y. Davit and M. Quintard, Technical notes on volume averaging in porous media I: How to choose a spatial averaging operator for periodic and quasiperiodic structures, Transp. Porous Media, vol.119, pp.555-584, 2017.

J. De-dreuzy, A. Rapaport, T. Babey, and J. Harmand, Influence of porosity structures on mixing-induced reactivity at chemical equilibrium in mobile/immobile multi-rate mass transfer (MRMT) and multiple interacting continua (MINC) models, Water Resour. Res, vol.49, pp.8511-8530, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00914049

M. Dentz, A. Cortis, H. Scher, and B. Berkowitz, Time behavior of solute transport in heterogeneous media: Transition from anomalous to normal transport, Adv. Water Resour, vol.27, pp.155-173, 2004.

V. Giovangigli, Multicomponent Flow Modeling, 1999.

P. Gouze, Y. Melean, T. L. Borgne, M. Dentz, and J. Carrera, Non-Fickian dispersion in porous media explained by heterogeneous microscale matrix diffusion: Non-Fickian dispersion and heterogeneous diffusion, Water Resour. Res, p.44, 2008.

W. G. Gray, A. Leijnse, R. L. Kolar, and C. A. Blain, Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems, 1993.

R. Haggerty and S. M. Gorelick, Multiple-rate mass transfer for modelling diffusion and surface reactions in media with pore-scale heterogeneity, Water Resour. Res, vol.31, pp.2383-2400, 1995.

N. J. Higham, Computing a nearest symmetric positive semidefinite matrix, Linear Algebra Appl, vol.103, pp.103-118, 1988.

U. Hornung, Miscible displacement in porous media influenced by mobile and immobile water, Rocky Mountain J. Math, vol.21, pp.645-669, 1991.

U. Hornung, Homogenization and Porous Media, 1997.

D. L. Koch and J. F. Brady, A non-local description of advection-diffusion with application to dispersion in porous media, J. Fluid Mech, vol.180, pp.387-403, 1987.

P. Landereau, B. Noetinger, and M. Quintard, Quasi-steady two-equation models for diffusive transport in fractured porous media: Large-scale properties for densely fractured systems, Adv. Water Resour, vol.24, pp.863-876, 2001.

M. Levy and B. Berkowitz, Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, J. Contaminant Hydrology, vol.64, pp.203-226, 2003.

C. M. Marle, On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media, Internat. J. Engrg. Sci, vol.20, pp.643-662, 1982.

C. Moyne, Two-equation model for a diffusive process in porous media using the volume averaging method with an unsteady state closure, Adv. Water Resour, vol.20, pp.63-76, 1997.

S. P. Neuman and D. M. Tartakovsky, Perspective on theories of non-Fickian transport in heterogeneous media, Adv. Water Resour, vol.32, pp.670-680, 2009.

M. Prat, Some refinements concerning the boundary conditions at the macroscopic level, Transp. Porous Media, vol.7, pp.147-161, 1992.

M. Quintard and S. Whitaker, One-and two-equation models for transient diffusion processes in two-phase systems, Advances in Heat Transfer, pp.369-464, 1993.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media I: The cellular average and the use of weighting functions, Transp. Porous Media, vol.14, pp.163-177, 1994.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media II: Generalized volume averaging, Transp. Porous Media, vol.14, pp.179-206, 1994.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media III: Closure and comparison between theory and experiment, Transp. Porous Media, vol.15, pp.31-49, 1994.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media IV: Computer generated porous media for three-dimensional systems, Transp. Porous Media, vol.15, pp.51-70, 1994.

M. Quintard and S. Whitaker, Transport in ordered and disordered porous media V: Geometrical results for two-dimensional systems, Transp. Porous Media, vol.15, pp.183-196, 1994.

M. Quintard and S. Whitaker, Theoretical analysis of transport in porous media, Handbook of Heat Transfer in Porous Media, pp.1-52, 2000.

J. Salles, J. Thovert, R. Delannay, L. Prevors, J. Auriault et al., Taylor dispersion in porous media, determination of the dispersion tensor, Phys. Fluids A, vol.15, pp.2348-2376, 1993.
URL : https://hal.archives-ouvertes.fr/hal-01123924

E. Sanchez-palencia, Non-homogeneous Media and Vibration Theory, vol.127, 1980.

C. Soulaine, Y. Davit, and M. Quintard, A two-pressure model for slightly compressible single phase flow in bi-structured porous media, Chemical Engineering Science, vol.96, pp.55-70, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00822241

L. Tartar, The General Theory of Homogenization: A Personalized Introduction, 2009.

R. Taylor and R. Krishna, , 1993.

S. G. Taylor, Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. London, vol.219, pp.186-203, 1953.

V. K. Vanag and I. R. Epstein, Cross-diffusion and pattern formation in reaction-diffusion systems, Phys. Chem. Chem. Phys, vol.11, pp.897-912, 2009.

S. Whitaker, The Method of Volume Averaging, Theory Appl. Transp. Porous Media, vol.13, 1999.

M. Willmann, J. Carrera, X. Sanchez-vila, O. Silva, and M. Dentz, Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media: Coupling of mass transfer and reactive transport, Water Resour. Res, vol.46, 2010.

Z. Wu and G. Q. Chen, Approach to transverse uniformity of concentration distribution of a solute in a solvent flowing along a straight pipe, J. Fluid Mech, vol.740, pp.196-213, 2014.

Z. Wu, X. Fu, and G. Wang, On spatial pattern of concentration distribution for Taylor dispersion process, Sci. Rep, vol.6, 2016.