A Multiphase Approach to the Modeling of Porous Media Contamination by Organic Compounds: 1. Equation Development, Water Resources Research, vol.73, issue.3, pp.11-18, 1985. ,
DOI : 10.1029/WR002i004p00709
A Multiphase Approach to the Modeling of Porous Media Contamination by Organic Compounds: 2. Numerical Simulation, Water Resources Research, vol.21, issue.4, pp.19-26, 1985. ,
DOI : 10.2118/5738-PA
Homogenization and Two-Scale Convergence, SIAM Journal on Mathematical Analysis, vol.23, issue.6, pp.1482-1518, 1992. ,
DOI : 10.1137/0523084
URL : https://hal.archives-ouvertes.fr/hal-01111805
Effective Behavior of Two-Phase Flow in Heterogeneous Reservoir, Par M.F. Wheeler, pp.1-22, 1988. ,
DOI : 10.1007/978-1-4684-6352-1_1
Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory, SIAM Journal on Mathematical Analysis, vol.21, issue.4, pp.823-836, 1990. ,
DOI : 10.1137/0521046
On the Dispersion of a Solute by Diffusion, Convection and Exchange between Phases, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.252, issue.1271, pp.538-550, 1959. ,
DOI : 10.1098/rspa.1959.0171
Effective parameters for two-phase flow in a porous medium with periodic heterogeneities, Journal of Contaminant Hydrology, vol.49, issue.1-2, pp.87-109, 2001. ,
DOI : 10.1016/S0169-7722(00)00190-X
Remarques sur la loi de Darcy pour les écoulements biphasiques en milieu poreux, J. Méc. Théor. Appli. Special Issue, pp.141-156, 1986. ,
Nonsaturated deformable porous media: Quasistatics, Transport in Porous Media, pp.45-64, 1987. ,
DOI : 10.1007/BF00208536
Diffusion non linéaire en milieux poreux, Comptes Rendus de l, Académie des Sciences, vol.324, pp.293-298, 1997. ,
DOI : 10.1016/s1251-8069(99)80037-2
Averaged properties of bodies with periodic structure, Doklady Academii Nauk SSSR, vol.218, issue.5, pp.1046-1048, 1974. ,
Averaging of partial derivation equation with quickly oscillating coefficients, Doklady Academii Nauk SSSR, vol.221, issue.3, pp.516-519, 1975. ,
Averaging PDE With Fast Oscillating Coefficients, 1977. ,
Hommogeneization : Averaging process in Periodic Media, 1989. ,
An analysis of dynamic pseudo relative permeability methods, Petroleum Geosci, pp.385-394, 1999. ,
On the tensor form of dispersion in porous media, Journal of Geophysical Research, vol.52, issue.4, pp.1185-1197, 1961. ,
DOI : 10.1017/S0022112059000672
Dynamics of Fluids in Porous Media, Soil Science, vol.120, issue.2, 1972. ,
DOI : 10.1097/00010694-197508000-00022
Asymptotic analysis for periodic structures, 1978. ,
Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach, 1961. ,
Dispersion of a continuously injected, nonlinearly adsorbing solute in chemically or physically heterogeneous porous formations, Journal of Contaminant Hydrology, vol.18, issue.3, pp.181-198, 1995. ,
DOI : 10.1016/0169-7722(95)00005-G
Numerical experiments of the homogeneization method for operators with periodic coefficients, Rapport de recherche IRI, Rocquencourt, pp.212-245, 1978. ,
Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution, Computer Methods in Applied Mechanics and Engineering, vol.47, issue.1-2, pp.205-216, 1984. ,
DOI : 10.1016/0045-7825(84)90055-0
Elements de comparaison entre la méthode d'homogéneisation et la méthode de prise de moyene avec fermeture, Série II, pp.463-466, 1988. ,
Effective model of two-phase flow in a porous medium made of different rock types, Applicable Analysis, vol.19, issue.1-2, pp.1-2, 1995. ,
DOI : 10.1137/0520043
Two-Phase Flow, Homogenization and Porous Media, pp.95-128, 1996. ,
DOI : 10.1007/978-1-4612-1920-0_5
URL : https://hal.archives-ouvertes.fr/hal-00965578
Effective Two-Phase Flow through Highly Heterogeneous Porous Media : Capillary Non-Equilibrium Effects, Computational Geosciences, vol.2, issue.3, pp.191-215, 1998. ,
DOI : 10.1023/A:1011502303588
Homogenization of high-rate two-phase flow in porous media, Book of abstracts of the Int. Sympos. Computer Methods in Engineering of Porous Media: Flow and Transport, 2000. ,
Dispersion Resulting from Flow through Spatially Periodic Porous Media, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.297, issue.1430, pp.81-133, 1980. ,
DOI : 10.1098/rsta.1980.0205
Two phase dispersion in porous media Nonreactive and reactive solute transport in three-dimonsional heterogeneous porous media : Mean displacement, plume spreading, and uncertainty, Poromechanics II, Proc. 2 nd Biot Conference on Poromechanics, pp.791-815, 1994. ,
Dispersion in pulsed systems???II, Chemical Engineering Science, vol.38, issue.11, pp.1795-1802, 1983. ,
DOI : 10.1016/0009-2509(83)85036-2
The hydrocarbon spill screaning model (HSSM) ?, Theoretical background and sources codes, 1994. ,
Multiphase, Multicomponent Fluid Flow in Homogeneous and Heterogeneous Porous Media, Revue de l'Institut Fran??ais du P??trole, vol.53, issue.3, pp.335-346, 1988. ,
DOI : 10.2516/ogst:1998029
A Two-Phase Flow Formulation for the Rayleigh-Taylor Mixing Zone and its Renormalization Group Solution, Proceedings of the 5th International Workshop on the Physics of Compressible Turbulent Mixing, 1996. ,
A two???phase flow model of the Rayleigh???Taylor mixing zone, Physics of Fluids, vol.27, issue.3, pp.816-825, 1996. ,
DOI : 10.1063/1.866826
Flow in porous media ??? scale up of multiphase flow, Current Opinion in Colloid & Interface Science, vol.6, issue.3, pp.236-241, 2001. ,
DOI : 10.1016/S1359-0294(01)00087-5
On the convergence of the operating integrals of the energy for elliptic of according to order, Boll. One. Mat. Ital, vol.8, issue.4, pp.391-411, 1973. ,
Modeling and Applications of Transport Phenomena in Porous Media, 1988. ,
Dispersion in pulsed systems???III, Chemical Engineering Science, vol.38, issue.11, pp.1803-1816, 1983. ,
DOI : 10.1016/0009-2509(83)85037-4
An analysis of field data permeability, 1992. ,
Mass transfer from nonaqueous phase organic liquids in water-saturated porous media, Water Resources Research, vol.29, issue.1, pp.833-845, 1993. ,
DOI : 10.1016/0169-7722(91)90013-Q
A stochastic analysis of the scale up roplem for flow in porous media, Computational and Applied Mathematics, vol.17, pp.67-79, 1998. ,
Longitudinal and transverse diffusion in granular deposits, Transactions, American Geophysical Union, vol.5, issue.5, pp.67-74, 1958. ,
DOI : 10.1063/1.1721815
A stochastic model of solute transport in groundwater: Application to the Borden, Ontario, Tracer Test, Water Resources Research, vol.26, issue.5, pp.1345-1359, 1991. ,
DOI : 10.1029/WR022i013p02069
Ray and Asymptotic Methods in Underwater Sound Propagation, (with D.S. Ahluwalia), Lecture Notes on Wave Propagation and Underwater Acoustics, pp.14-85, 1997. ,
Homogenization and effective Moduli of Materials and Media, of IMA Volumes in Mathematics and its Applications, pp.228-246, 1978. ,
Introduction to Nonlinear Mechanics, English translation, 1947. ,
Macrodispersion for two-phase, immiscible flow in porous media, Advances in Water Resources, vol.17, issue.5, pp.297-316, 1994. ,
DOI : 10.1016/0309-1708(94)90033-7
Analysis of pseudo-continum mass transfer in media with spatially periodic boundaries, Chemical engineering Science, vol.34, pp.581-590, 1979. ,
Homogenization of miscible and immiscible transient displacements in heterogeneous media, Congrès " Flow and transport in porous media, p.61, 2000. ,
Transport of organic contaminants in groundwater, Environmental Science & Technology, vol.19, issue.5, pp.645-649, 1985. ,
DOI : 10.1021/es00135a001
Method of homogenization applied to dispersion in porous media, Transport in Porous Media, pp.261-274, 1992. ,
DOI : 10.1029/TR039i001p00067
Three-dimensional unsaturated flow in heterogeneous systems and implications on groundwater contamination: A stochastic approach, Transport in Porous Media, pp.529-548, 1989. ,
DOI : 10.1007/BF00223626
Large Scale Mixing for Immiscible Displacement in Heteregeneous Media, Transport in Porous Media, pp.287-314, 2003. ,
A General Convergence Result for a Functional Related to the Theory of Homogenization, SIAM Journal on Mathematical Analysis, vol.20, issue.3, pp.608-629, 1989. ,
DOI : 10.1137/0520043
Macrodispersion approach for upscaling of two-phase, immiscible flow in heterogeneous porous media, Proc. ECMOR VII-8 th European Conference on the Mathematics of Oil Recovery Panasenko, G.P. : 1988a, Homogenization of processes in strongly heterogeneous media, pp.76-79, 2003. ,
Averaging the carcas constructions with random structures, Doklady AN SSSR, vol.244, issue.2, pp.335-337, 1988. ,
Numerical-Analytical Method of Multicomponent Homogenization for Equations with Contrast Parameters, pp.243-253, 1990. ,
Mean mode of porous flow in highly inhomogeneous media, Soviet Physics Doklady, pp.225-227, 1990. ,
Macroscale Models of Flow Through Highly Heterogeneous Porous Media. Theory and Applications of Transport in Porous Media, Vol 16, Applied Mechanics Reviews, vol.55, issue.6, 2000. ,
DOI : 10.1115/1.1508158
Non linear two-Phase Mixing in heterogeneous porous media, Transport in Porous Media, v 57, pp.347-375, 2004. ,
Dense chlorinated solvents and other DNAPLs in groundwater, p.522, 1996. ,
A parametric model for constitutive properties governing multiphase flow in porous media, Water Resources Research, vol.3, issue.4, pp.618-624, 1987. ,
DOI : 10.2136/sssaj1980.03615995004400050002x
Dispersion in heterogeneous porous media: 1. Local volume averaging and large-scale averaging, Water Resources Research, vol.1, issue.7, pp.913-926, 1988. ,
DOI : 10.1007/BF00714692
Dispersion in heterogeneous porous media: 2. Predictions for stratified and two-dimensional spatially periodic systems, Water Resources Research, vol.1, issue.7, pp.927-938, 1988. ,
DOI : 10.1007/BF01036523
Theoretical study of the significance of nonequilibrium dissolution of nonaqueous phase liquids in subsurface systems, Water Resources Research, vol.5, issue.1, pp.463-477, 1991. ,
DOI : 10.1021/i160017a002
An experimental investigation of nonaqueous phase liquid dissolution in saturated subsurface systems: Steady state mass transfer rates, Water Resources Research, vol.5, issue.2, pp.2691-2705, 1992. ,
DOI : 10.1021/i160017a002
Two-phaseflow in heterogeneous porous media : The method of large-scale averaging, Transport in Porous Media, pp.357-413, 1988. ,
One and two equation model for transient diffusion processus in two-phase systems, Advances in Heat Transfer, pp.369-464, 1993. ,
Transport in ordered and disordered porous media: volume-averaged equations, closure problems, and comparison with experiment, Chemical Engineering Science, vol.48, issue.14, pp.2537-2564, 1993. ,
DOI : 10.1016/0009-2509(93)80266-S
Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media, Advances in Water Resources, vol.17, issue.4, pp.221-239, 1994. ,
DOI : 10.1016/0309-1708(94)90002-7
Developpement of equations describing transport of mass and momentum in porous media, 1965. ,
The effective homogeneous behavior of heterogeneous porous media, Transport in Porous Media, pp.213-238, 1989. ,
Dispersion due to molecular diffusion and macroscopic mixing in flow through a network of capillaries, Journal of Fluid Mechanics, vol.235, issue.02, pp.194-208, 1960. ,
DOI : 10.1002/aic.690040327
Equations aux derivées partielles dans un type de milieux hétérogénes, C R. Acad. Sci. Paris, Sér. A, vol.271, pp.395-398, 1972. ,
Sur certains problèmes physiques d'homogéneisation donnant lieu à des phénomènes de relaxation, C. R. Acad. Sci. Paris, Sér. A, vol.286, pp.903-906, 1974. ,
Méthodes d'homogéneisation pour l'étude des matériaux hétérogènes : phénoméne de mémoire, Rend. Sem. Mat. Univ. Plitec. Torino, vol.36, pp.15-25, 1980. ,
Statistical Hydrodynamics in Porous Media, Journal of Applied Physics, vol.125, issue.10, pp.994-1001, 1954. ,
DOI : 10.1098/rspa.1950.0068
General theory of dispersion in porous media, Journal of Geophysical Research, vol.2, issue.no. 6, 1961. ,
DOI : 10.1063/1.1721815
Flow of viscoelastic fluids through porous media, AIChE Journal, vol.13, issue.6, pp.1066-1071, 1967. ,
DOI : 10.1002/aic.690130606
Dispersion of solute matter in a solvant flowing slowly through a tube, Proc. Royal Soc., A219, pp.186-203, 1953. ,
Remarks on Homogenization, 1974. ,
DOI : 10.1007/978-1-4613-8646-9_11
Principles of hydrocarbon reservoir simulation, 1982. ,
Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media, Water Resources Research, vol.146, issue.2, pp.2541-2562, 1990. ,
DOI : 10.2172/5229458
Diffusion and dispersion in porous media, AIChE Journal, vol.13, issue.3, pp.420-427, 1967. ,
DOI : 10.1002/aic.690130308
Flow in porous media i : A theoretical derivation of Darcy's law, Transport in Porous Media1, pp.3-35, 1986. ,
Flow in porous media II: The governing equations for immiscible, two-phase flow, Transport in Porous Media 1, pp.105-125, 1986. ,
DOI : 10.1016/S0065-2717(08)70223-5
Transport process with heterogeneous reactions, Concepts and Design of Chemical Reactors, pp.1-94, 1986. ,
The forcheimer equation : A theoritical developpement, Transport in Porous Media, pp.21-27, 1996. ,