R. Aris, On the Dispersion of a Solute in a Fluid Flowing through a Tube, Proc. R. Soc London, p.67, 1956.
DOI : 10.1098/rspa.1956.0065

D. Bolster, D. M. Tartakovsky, and M. Dentz, Analytical models of contaminant transport in coastal aquifers, Advances in Water Resources, vol.30, issue.9, pp.1962-1972, 2007.
DOI : 10.1016/j.advwatres.2007.03.007

D. Bolster, T. L. Borgne, and M. Dentz, 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

D. Bolster, D. A. Benson, T. L. Borgne, and M. Dentz, Anomalous mixing and reaction induced by superdiffusive nonlocal transport, Physical Review E, vol.82, issue.2, 2010.
DOI : 10.1103/PhysRevE.82.021119

J. Carleton and H. Montas, Reactive transport in stratified flow fields with idealized heterogeneity, Advances in Water Resources, vol.32, issue.6, pp.906-915, 2009.
DOI : 10.1016/j.advwatres.2009.03.001

O. Cirpka and A. Valocchi, Two-dimensional concentration distribution for mixing-controlled bioreactive transport in steady state, Advances in Water Resources, vol.30, issue.6-7, pp.1668-1679, 2007.
DOI : 10.1016/j.advwatres.2006.05.022

M. Dentz, D. M. Tartakovsky, E. Abarca, A. Guadagnini, X. S. Vila et al., Variable-density flow in porous media, Journal of Fluid Mechanics, vol.561, pp.209-235, 2006.
DOI : 10.1017/S0022112006000668

M. De-simoni, J. Carrera, X. Sanchez?vila, and A. Guadagnini, A procedure for the solution of multicomponent reactive transport problems, Water Resources Research, vol.26, issue.5, pp.10-1029, 2005.
DOI : 10.1029/2005WR004056

I. Dror, T. Amitay, B. Yaron, and B. Berkowitz, Salt-Pump Mechanism for Contaminant Intrusion into Coastal Aquifers, Science, vol.300, issue.5621, pp.300-950, 2003.
DOI : 10.1126/science.1080075

I. Dror, B. Yaron, and B. Berkowitz, Response to Comment on """Salt-Pump Mechanism for Contaminant Intrusion into Coastal Aquifers""", Science, vol.302, issue.5646, p.784, 2003.
DOI : 10.1126/science.1089464

M. Ghisalberti and H. M. Nepf, Mixing layers and coherent structures in vegetated aquatic flows, Journal of Geophysical Research, vol.6, issue.2, pp.10-1029, 2002.
DOI : 10.1029/2001JC000871

H. R. Henry, Effects of dispersion on salt encroachment in coastal aquifers, U.S. Geol. Surv. Water Supply Pap, 1613.

V. Kapoor and P. Kitanidis, Concentration fluctuations and dilution in aquifers, Water Resources Research, vol.209, issue.11, pp.1181-1193, 1998.
DOI : 10.1029/97WR03608

P. Kitanidis, The concept of the Dilution Index, Water Resources Research, vol.29, issue.8, pp.2011-2026, 1994.
DOI : 10.1029/94WR00762

L. Borgne, T. , M. Dentz, and J. Carrera, Lagrangian Statistical Model for Transport in Highly Heterogeneous Velocity Fields, Physical Review Letters, vol.101, issue.9, 2008.
DOI : 10.1103/PhysRevLett.101.090601
URL : https://hal.archives-ouvertes.fr/insu-00372030

L. Borgne, T. , M. Dentz, D. Bolster, J. Carrera et al., Non-Fickian mixing: Temporal evolution of the scalar dissipation rate in heterogeneous porous media, Advances in Water Resources, vol.33, issue.12, pp.1468-1475, 2010.
DOI : 10.1016/j.advwatres.2010.08.006
URL : https://hal.archives-ouvertes.fr/insu-00610129

J. Luo, M. Dentz, J. Carrera, and P. Kitanidis, Effective reaction parameters for mixing controlled reactions in heterogeneous media, Water Resources Research, vol.34, issue.2, pp.10-1029, 2008.
DOI : 10.1029/2006WR005658

G. Matheron and G. De-marsily, Is transport in porous media always diffusive? A counterexample, Water Resources Research, vol.2, issue.2, pp.901-917, 1980.
DOI : 10.1029/WR016i005p00901

A. Okubo, Some remarks on the importance of the shear effect on horizontal diffusion, J. Oceanogr. Soc. Jpn, vol.24, pp.60-69, 1968.

A. Okubo and M. Karweit, DIFFUSION FROM A CONTINUOUS SOURCE IN A UNIFORM SHEAR FLOW1, Limnology and Oceanography, vol.14, issue.4, pp.514-520, 1969.
DOI : 10.4319/lo.1969.14.4.0514

S. B. Pope, Turbulent Flows, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00338511

M. L. Porter, F. J. Valdes?parada, and B. D. Wood, Comparison of theory and experiments for dispersion in homogeneous porous media, Advances in Water Resources, vol.33, issue.9, pp.1043-1052, 2010.
DOI : 10.1016/j.advwatres.2010.06.007

J. Rees, Mixing in geophysical and astrophysical flows, Environmental Fluid Mechanics, vol.1, issue.3, pp.333-343, 2006.
DOI : 10.1023/A:1013147316701

M. Rezaei, E. Sanz, E. Raeisi, C. Ayora, E. Vzquez?su et al., Reactive transport modeling of calcite dissolution in the fresh-salt water mixing zone, Journal of Hydrology, vol.311, issue.1-4, pp.282-298, 2005.
DOI : 10.1016/j.jhydrol.2004.12.017

M. Rolle, C. Eberhardt, G. Chiogna, O. A. Cirpka, and P. Gradwohl, Enhancement of dilution and transverse reactive mixing in porous media: Experiments and model-based interpretation, Journal of Contaminant Hydrology, vol.110, issue.3-4, pp.130-142, 2009.
DOI : 10.1016/j.jconhyd.2009.10.003

A. Tartakovsky, G. Redden, P. Lichtner, T. Scheibe, and P. Meakin, Mixing-induced precipitation: Experimental study and multiscale numerical analysis, Water Resources Research, vol.23, issue.22, pp.10-1029, 2008.
DOI : 10.1029/2006WR005725

G. I. Taylor, Dispersion of Soluble Matter in Solvent Flowing Slowly through a Tube, Proc. R. Soc. London, 1953.
DOI : 10.1098/rspa.1953.0139

H. Tennekes and J. L. Lumley, A First Course in Turbulence, 1972.

W. R. Young and S. W. Jones, Shear dispersion, Shear dispersion, pp.1087-1101, 1991.
DOI : 10.1063/1.858090

Q. Zhiang and J. Glimm, Inertial range scaling of laminar shear flow as a model of turbulent transport, Communications in Mathematical Physics, vol.66, issue.2, pp.217-229, 1992.
DOI : 10.1007/BF02102625

D. Bolster and U. , Notre Dame