R. Ababou, Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media, Transp. Porous Media, pp.549-565, 1989.

R. Andricevic, Effects of local dispersion and sampling volume on the evolution of concentration fluctuations in aquifers, Water Resources Research, vol.32, issue.5, pp.1115-1129, 1998.
DOI : 10.1029/98WR00260

A. Beaudoin, An efficient parallel tracker for advectiondiffusion simulations in heterogeneous porous media, 2007.
URL : https://hal.archives-ouvertes.fr/insu-00260740

E. Caroni and V. Fiorotto, Analysis of concentration as sampled in natural aquifers, Transp. Porous Media, pp.19-45, 2005.

G. Chiogna, O. A. Cirpka, P. Grathwohl, and M. Rolle, Transverse mixing of conservative and reactive tracers in porous media: Quantification through the concepts of flux-related and critical dilution indices, Water Resources Research, vol.33, issue.52, pp.250510-1029, 2011.
DOI : 10.1029/2010WR009608

O. A. Cirpka and P. K. Kitanidis, Characterization of mixing and dilution in heterogeneous aquifers by means of local temporal moments, Water Resources Research, vol.28, issue.8, pp.1221-1236, 2000.
DOI : 10.1029/1999WR900354

G. Dagan, Flow and Transport in Porous Formations, 1989.
DOI : 10.1007/978-3-642-75015-1

J. De-dreuzy, Asymptotic dispersion in 2D heterogeneous porous media determined by parallel numerical simulations, Water Resources Research, vol.36, issue.3, pp.10439-10449, 1029.
DOI : 10.1029/2006WR005394

URL : https://hal.archives-ouvertes.fr/insu-00193397

M. Dentz, H. Kinzelbach, S. Attinger, and W. Kinzelbach, Temporal behavior of a solute cloud in a heterogeneous porous medium: 2. Spatially extended injection, Water Resources Research, vol.27, issue.12, pp.3605-361410, 2000.
DOI : 10.1029/2000WR900211

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

A. Englert, J. Vanderborght, and H. Vereecken, Prediction of velocity statistics in three-dimensional multi-Gaussian hydraulic conductivity fields, Water Resources Research, vol.45, issue.10, pp.10-1029, 2006.
DOI : 10.1029/2002WR001721

A. Fiori, The Lagrangian concentration approach for determining dilution in aquifer transport: Theoretical analysis and comparison with field experiments, Water Resources Research, vol.32, issue.12, pp.3105-3114, 2001.
DOI : 10.1029/2001WR000228

A. Fiori and G. Dagan, Concentration fluctuations in aquifer transport: a rigorous first-order solution and applications, Journal of Contaminant Hydrology, vol.45, issue.1-2, pp.139-163, 2000.
DOI : 10.1016/S0169-7722(00)00123-6

V. Fiorotto and E. Caroni, Solute concentration statistics in heterogeneous aquifers for finite Peclet values, Transp. Porous Media, pp.331-351, 2002.

L. W. Gelhar and C. L. Axness, Three-dimensional stochastic analysis of macrodispersion in aquifers, Water Resources Research, vol.104, issue.4, pp.161-180, 1983.
DOI : 10.1029/WR019i001p00161

P. Grassberger and I. Procaccia, Characterization of Strange Attractors, Physical Review Letters, vol.50, issue.5, pp.346-349, 1983.
DOI : 10.1103/PhysRevLett.50.346

I. Jankovic, Flow and transport in highly heterogeneous formations: 3. Numerical simulations and comparison with theoretical results, Water Resources Research, vol.30, issue.1, pp.10-1029, 2003.
DOI : 10.1029/2002WR001721

V. Kapoor and L. W. Gelhar, Transport in three-dimensionally heterogeneous aquifers: 1. Dynamics of concentration fluctuations, Water Resources Research, vol.44, issue.2, pp.1775-1788, 1994.
DOI : 10.1029/94WR00076

V. Kapoor and L. W. Gelhar, Transport in three-dimensionally heterogeneous aquifers: 2. Predictions and observations of concentration fluctuations, Water Resources Research, vol.26, issue.10, pp.1789-1801, 1994.
DOI : 10.1029/94WR00075

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

P. K. 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. , J. De-dreuzy, P. Davy, and O. Bour, Characterization of the velocity field organization in heterogeneous media by conditional correlation, Water Resources Research, vol.39, issue.3, pp.10-1029, 2006.
DOI : 10.1029/2006WR004875

URL : https://hal.archives-ouvertes.fr/hal-00138043

L. Borgne and T. , 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

L. Borgne and T. , Persistence of incomplete mixing: A key to anomalous transport, Physical Review E, vol.84, issue.1, p.15301, 2011.
DOI : 10.1103/PhysRevE.84.015301

URL : https://hal.archives-ouvertes.fr/insu-00620762

L. Goc and R. , Statistical characteristics of flow as indicators of channeling in heterogeneous porous and fractured media, Advances in Water Resources, vol.33, issue.3, pp.257-269, 2009.
DOI : 10.1016/j.advwatres.2009.12.002

URL : https://hal.archives-ouvertes.fr/insu-00577996

S. P. Neuman and Y. Zhang, A quasi-linear theory of non-Fickian and Fickian subsurface dispersion: 1. Theoretical analysis with application to isotropic media, Water Resources Research, vol.26, issue.5, pp.887-902, 1990.
DOI : 10.1029/WR026i005p00887

M. Pannone and P. K. Kitanidis, Large-time behavior of concentration variance and dilution in heterogeneous formations, Water Resources Research, vol.26, issue.3, pp.623-634, 1999.
DOI : 10.1029/1998WR900063

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

M. Rolle, 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.3-4, 2009.
DOI : 10.1016/j.jconhyd.2009.10.003

P. Salandin and V. Fiorotto, Solute transport in highly heterogeneous aquifers, Water Resources Research, vol.26, issue.5, pp.949-961, 1998.
DOI : 10.1029/98WR00219

A. M. Tartakovsky, Stochastic Langevin Model for Flow and Transport in Porous Media, Physical Review Letters, vol.101, issue.4, 2008.
DOI : 10.1103/PhysRevLett.101.044502

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

D. Tonina and A. Bellin, Effects of pore-scale dispersion, degree of heterogeneity, sampling size, and source volume on the concentration moments of conservative solutes in heterogeneous formations, Advances in Water Resources, vol.31, issue.2, pp.31-339, 2008.
DOI : 10.1016/j.advwatres.2007.08.009

J. Vanderborght, Concentration variance and spatial covariance in second-order stationary heterogeneous conductivity fields, Water Resources Research, vol.32, issue.7, pp.1893-1912, 2001.
DOI : 10.1029/2001WR900009

J. Villermaux and J. C. Devillon, Représentation de la coalescence et de la redispersion des domaines de ségrégation dans un fluide par un modèle d'interaction phénoménologique, Proceedings of the 2nd International Symposium of Chemical Reaction Engineers, pp.1-14, 1972.