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. ,
On the dispersion of a solute in a fluid flowing through a tube, Proc. A, vol.235, pp.67-77, 1956. ,
Taylor dispersion in porous media: Analysis by multiple scale expansions, Adv. Water Resour, vol.18, pp.217-226, 1995. ,
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
Asymptotic Analysis for Periodic Structures, Stud. Math. Appl, 1978. ,
Modeling non-Fickian transport in geological formations as a continuous time random walk, Rev. Geophys, p.44, 2006. ,
Anomalous transport in laboratory-scale, heterogeneous porous media, Water Resour. Res, vol.36, pp.149-158, 2000. ,
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. ,
Dispersion resulting from flow through spatially periodic porous media, Philos. Trans. R. Soc. A, vol.297, pp.81-133, 1980. ,
, Macrotransport Processes, 1993.
, Functional Analysis, Sobolev Spaces and Partial Differential Equations, 2011.
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. ,
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
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
Dead-end pore volume and dispersion in porous media, Soc. Petroleum Engineers J, pp.73-84, 1964. ,
A primer on upscaling tools for porous media, Adv. Water Resour, vol.25, pp.1043-1067, 2002. ,
Nonlocal dispersion in media with continuously evolving scales of heterogeneity, Transp. Porous Media, vol.13, pp.123-138, 1993. ,
Homogenization via formal multiscale asymptotics and volume averaging: How do the two techniques compare?, Adv. Water Resour, vol.62, pp.178-206, 2013. ,
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
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. ,
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. ,
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
Time behavior of solute transport in heterogeneous media: Transition from anomalous to normal transport, Adv. Water Resour, vol.27, pp.155-173, 2004. ,
, Multicomponent Flow Modeling, 1999.
Non-Fickian dispersion in porous media explained by heterogeneous microscale matrix diffusion: Non-Fickian dispersion and heterogeneous diffusion, Water Resour. Res, p.44, 2008. ,
Mathematical Tools for Changing Spatial Scales in the Analysis of Physical Systems, 1993. ,
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. ,
Computing a nearest symmetric positive semidefinite matrix, Linear Algebra Appl, vol.103, pp.103-118, 1988. ,
Miscible displacement in porous media influenced by mobile and immobile water, Rocky Mountain J. Math, vol.21, pp.645-669, 1991. ,
, Homogenization and Porous Media, 1997.
A non-local description of advection-diffusion with application to dispersion in porous media, J. Fluid Mech, vol.180, pp.387-403, 1987. ,
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. ,
Measurement and analysis of non-Fickian dispersion in heterogeneous porous media, J. Contaminant Hydrology, vol.64, pp.203-226, 2003. ,
On macroscopic equations governing multiphase flow with diffusion and chemical reactions in porous media, Internat. J. Engrg. Sci, vol.20, pp.643-662, 1982. ,
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. ,
Perspective on theories of non-Fickian transport in heterogeneous media, Adv. Water Resour, vol.32, pp.670-680, 2009. ,
Some refinements concerning the boundary conditions at the macroscopic level, Transp. Porous Media, vol.7, pp.147-161, 1992. ,
One-and two-equation models for transient diffusion processes in two-phase systems, Advances in Heat Transfer, pp.369-464, 1993. ,
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. ,
Transport in ordered and disordered porous media II: Generalized volume averaging, Transp. Porous Media, vol.14, pp.179-206, 1994. ,
Transport in ordered and disordered porous media III: Closure and comparison between theory and experiment, Transp. Porous Media, vol.15, pp.31-49, 1994. ,
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. ,
Transport in ordered and disordered porous media V: Geometrical results for two-dimensional systems, Transp. Porous Media, vol.15, pp.183-196, 1994. ,
Theoretical analysis of transport in porous media, Handbook of Heat Transfer in Porous Media, pp.1-52, 2000. ,
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
, Non-homogeneous Media and Vibration Theory, vol.127, 1980.
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
The General Theory of Homogenization: A Personalized Introduction, 2009. ,
, , 1993.
Dispersion of soluble matter in solvent flowing slowly through a tube, Proc. Roy. Soc. London, vol.219, pp.186-203, 1953. ,
Cross-diffusion and pattern formation in reaction-diffusion systems, Phys. Chem. Chem. Phys, vol.11, pp.897-912, 2009. ,
The Method of Volume Averaging, Theory Appl. Transp. Porous Media, vol.13, 1999. ,
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. ,
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. ,
On spatial pattern of concentration distribution for Taylor dispersion process, Sci. Rep, vol.6, 2016. ,