M. Bolster, T. L. Dentz, and . Borgne, Solute dispersion in channels with periodically varying apertures, Physics of Fluids, vol.21, issue.5, p.56601, 2009.
DOI : 10.1063/1.3131982
URL : https://hal.archives-ouvertes.fr/insu-00562484

L. Koch and J. F. Brady, The symmetry properties of the effective diffusivity tensor in anisotropic porous media, Physics of Fluids, vol.30, issue.3, p.642, 1987.
DOI : 10.1063/1.866368

J. Koch and . Brady, A non-local description of advection-diffusion with application to dispersion in porous media, Journal of Fluid Mechanics, vol.316, issue.-1, pp.387-403, 1987.
DOI : 10.1017/S0022112077001414

J. Salles, R. Thovert, L. Delannay, J. Prevors, P. M. Auriault et al., Taylor dispersion in porous media. Determination of the dispersion tensor, Physics of Fluids A: Fluid Dynamics, vol.5, issue.10, p.2348, 1993.
DOI : 10.1063/1.858751
URL : https://hal.archives-ouvertes.fr/hal-01123924

A. Edwards, M. Shapiro, H. Brenner, and M. Shapira, Dispersion of inert solutes in spatially periodic, two-dimensional model porous media, Transport in Porous Media, vol.6, issue.4, pp.337-358, 1991.
DOI : 10.1007/BF00136346

M. Bolster, J. Dentz, and . Carrera, Effective two-phase flow in heterogeneous media under temporal pressure fluctuations, Water Resources Research, vol.124, issue.1, pp.1-1410, 2009.
DOI : 10.1029/2008WR007460

A. Dagan and . Fiori, The influence of pore-scale dispersion on concentration statistical moments in transport through heterogeneous aquifers, Water Resources Research, vol.26, issue.2, pp.159510-1029, 1997.
DOI : 10.1029/97WR00803

J. Dentz and . Carrera, Mixing and spreading in stratified flow, Physics of Fluids, vol.19, issue.1, p.17107, 2007.
DOI : 10.1063/1.2427089

. Fiori, On the influence of pore-scale dispersion in nonergodic transport in heterogeneous formations, Transport in Porous Media, vol.30, issue.1, pp.57-73, 1998.
DOI : 10.1023/A:1006548529015

K. Kitanidis and B. B. Dykaar, Stokes flow in a slowly varying two-dimensional periodic pore, Transport in Porous Media, vol.26, issue.1, pp.89-98, 1997.
DOI : 10.1023/A:1006575028391

. Aris, On the Dispersion of a Solute in a Fluid Flowing through a Tube, Proc. R. Soc. London, pp.67-77, 1200.
DOI : 10.1098/rspa.1956.0065

. Wooding, Instability of a viscous liquid of variable density in a vertical Hele-Shaw cell, Journal of Fluid Mechanics, vol.195, issue.04, p.501, 1960.
DOI : 10.1017/S0022112060000256

J. Berkowitz and . Zhou, Reactive Solute Transport in a Single Fracture, Water Resources Research, vol.30, issue.9, pp.901-91310, 1996.
DOI : 10.1029/95WR03615

M. Zavala-sanchez, X. Dentz, and . Sanchez-vila, Characterization of mixing and spreading in a bounded stratified medium, Advances in Water Resources, vol.32, issue.5, pp.635-648, 2009.
DOI : 10.1016/j.advwatres.2008.05.003

N. Gill and R. Sankarasubramanian, Exact Analysis of Unsteady Convective Diffusion, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.316, issue.1526, pp.341-350, 1526.
DOI : 10.1098/rspa.1970.0083

A. Latini and . Bernoff, Transient anomalous diffusion in Poiseuille flow density contrasts, J. Fluid Mech. J. Contam. Hydrol, vol.441, pp.399-411, 2001.

E. Erdogan and P. C. Chatwin, The effects of curvature and buoyancy on the laminar dispersion of solute in a horizontal tube, Journal of Fluid Mechanics, vol.5, issue.03, pp.465-484, 1967.
DOI : 10.1017/S0022112067000977

A. Hoagland and R. K. Prud-'homme, Taylor-aris dispersion arising from flow in a sinusoidal tube, AIChE Journal, vol.31, issue.2, pp.236-244, 1985.
DOI : 10.1002/aic.690310210

M. Tartakovsky and D. Xiu, Stochastic analysis of transport in tubes with rough walls, Journal of Computational Physics, vol.217, issue.1, pp.248-259, 2006.
DOI : 10.1016/j.jcp.2006.02.029

D. M. Xiu and . Tartakovsky, Numerical Methods for Differential Equations in Random Domains, SIAM Journal on Scientific Computing, vol.28, issue.3, p.1167, 2006.
DOI : 10.1137/040613160

W. Gelhar, Stochastic subsurface hydrology from theory to applications, 135S, pp.10-1029, 1986.
DOI : 10.1029/WR022i09Sp0135S

H. Drazer, J. Auradou, J. P. Koplik, and . Hulin, Self-Affine Fronts in Self-Affine Fractures: Large and Small-Scale Structure, Physical Review Letters, vol.92, issue.1, p.14501, 2004.
DOI : 10.1103/PhysRevLett.92.014501

. Rosencrans, Taylor Dispersion in Curved Channels, SIAM Journal on Applied Mathematics, vol.57, issue.5, p.1216, 1997.
DOI : 10.1137/S003613999426990X

B. Dykaar and P. K. Kitanidis, Macrotransport of a Biologically Reacting Solute Through Porous Media, Water Resources Research, vol.7, issue.1, pp.10-102995, 1996.
DOI : 10.1029/95WR03241

M. Lucas, M. Panfilov, and . Bues, High velocity flow through fractured and porous media: the role of flow non-periodicity, European Journal of Mechanics - B/Fluids, vol.26, issue.2, pp.295-303, 2007.
DOI : 10.1016/j.euromechflu.2006.04.005

M. B. Chaudhary, W. Cardenas, P. C. Deng, and . Bennett, The role of eddies inside pores in the transition from Darcy to Forchheimer flows, Geophysical Research Letters, vol.25, issue.1, pp.10-1029, 2011.
DOI : 10.1029/2011GL050214

B. Cardenas, D. T. Slottke, R. A. Ketcham, and J. M. Sharp, Effects of inertia and directionality on flow and transport in a rough asymmetric fracture, Journal of Geophysical Research, vol.41, issue.3, pp.10-1029, 2009.
DOI : 10.1029/2009JB006336

B. Cardenas, Direct simulation of pore level Fickian dispersion scale for transport through dense cubic packed spheres with vortices, Q12014, pp.10-1029, 2009.
DOI : 10.1029/2009GC002593

E. Garcia and K. Pruess, Flow instabilities during injection of CO2 into saline aquifers, Proceedings of Tough Symposium, 2003.

G. I. Hellström, P. J. Jonsson, and T. S. Lundström, Laminar and turbulent flow through an array of cylinders, J. Porous Media, vol.13, issue.12, pp.1073-1085, 2010.

Y. Masuoka, T. Takatsu, and . Inoue, CHAOTIC BEHAVIOR AND TRANSITION TO TURBULENCE IN POROUS MEDIA, Microscale Thermophysical Engineering, vol.6, issue.4, pp.347-357, 2002.
DOI : 10.1080/10893950290098377

. Pozrikidis, Creeping flow in two-dimensional channels, Journal of Fluid Mechanics, vol.164, issue.-1, pp.495-514, 1987.
DOI : 10.1017/S0022112085003172

E. Malevich, V. V. Mityushev, and P. M. Adler, Stokes flow through a channel with wavy walls, Acta Mechanica, vol.69, issue.3-4, pp.3-4, 2006.
DOI : 10.1007/s00707-005-0293-4

K. Moffatt, Viscous and resistive eddies near a sharp corner, Journal of Fluid Mechanics, vol.6, issue.01, pp.1-18, 1963.
DOI : 10.1017/S0022112064000015

S. M. Haggerty and . Gorelick, Multiple-Rate Mass Transfer for Modeling Diffusion and Surface Reactions in Media with Pore-Scale Heterogeneity, Water Resources Research, vol.24, issue.8, pp.31-238310, 1995.
DOI : 10.1029/95WR10583

X. Carrera, I. Sánchez-vila, A. Benet, G. Medina, J. Galarza et al., On matrix diffusion: formulations, solution methods and qualitative effects, Hydrogeology Journal, vol.6, issue.1, pp.178-190, 1998.
DOI : 10.1007/s100400050143

D. Donado, X. Sanchez-vila, M. Dentz, J. Carrera, and D. Bolster, Multicomponent reactive transport in multicontinuum media, W11402, pp.10-1029, 2009.
DOI : 10.1029/2008WR006823

S. Zimmerman, G. Kumar, and . Bodvarsson, Lubrication theory analysis of the permeability of rough-walled fractures, International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol.28, issue.4, pp.325-331, 1991.
DOI : 10.1016/0148-9062(91)90597-F

R. Brown, Simple mathematical model of a rough fracture, Journal of Geophysical Research: Solid Earth, vol.139, issue.B4, pp.5941-595210, 1995.
DOI : 10.1029/94JB03262

L. Borgne, D. Bolster, M. Dentz, P. De-anna, and A. Tartakovsky, Effective pore-scale dispersion upscaling with a correlated continuous time random walk approach, Water Resources Research, vol.32, issue.10, pp.1-1010, 2011.
DOI : 10.1029/2011WR010457
URL : https://hal.archives-ouvertes.fr/insu-00667659

. Bear, Dynamics of Fluids in Porous Media, Soil Science, vol.120, issue.2, 1972.
DOI : 10.1097/00010694-197508000-00022