Viscous Stabilization of 2D Drainage Displacements with Trapping, Physical Review Letters, vol.61, issue.20, pp.4589-4592, 2000. ,
DOI : 10.1103/PhysRevE.61.2936
Drainage in a rough gouge-filled fracture, Transport in Porous Media, pp.267-305, 2003. ,
Competition between correlated buoyancy and uncorrelated capillary effects during drainage, Physical Review E, vol.245, issue.6, pp.7224-7234, 1999. ,
DOI : 10.1007/978-1-4899-2124-6
Dynamics of Fluids in Porous Media, Soil Science, vol.120, issue.2, 1972. ,
DOI : 10.1097/00010694-197508000-00022
Gravity invasion percolation in two dimensions: Experiment and simulation, Physical Review Letters, vol.46, issue.5, pp.584-587, 1991. ,
DOI : 10.1103/PhysRevA.34.1380
Transport of a Mixture of Chlorinated Solvent Vapors in the Vadose Zone of a Sandy Aquifer, Vadose Zone Journal, pp.539-553, 2006. ,
DOI : 10.2136/vzj2005.0079
URL : https://hal.archives-ouvertes.fr/hal-00096928
Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects', Computational Geosciences, vol.2, issue.3, pp.191-215, 1998. ,
DOI : 10.1023/A:1011502303588
Hydraulic properties of porous media. Hydrology Paper 3, Fort Collins, 1964. ,
Capillary displacement and percolation in porous media, Journal of Fluid Mechanics, vol.17, issue.-1, pp.249-267, 1982. ,
DOI : 10.1002/aic.690210211
Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship, Transport in Porous Media, pp.5-22, 2005. ,
Porous Media Fluid Transport and Pore Structure, 1992. ,
Immiscible displacement of viscosity-matched fluids in two-dimensional porous media, Physical Review E, vol.173, issue.3, pp.2969-2975, 1997. ,
DOI : 10.1016/0378-4371(91)90366-K
Intermittent behavior in slow drainage, Physical Review E, vol.191, issue.1, pp.966-977, 1996. ,
DOI : 10.1016/0378-4371(92)90542-X
Dynamic Effect in the Capillary Pressure?Saturation Relationship and its Impacts on Unsaturated Flow, Vadose Zone Journal 1, pp.38-57, 2002. ,
High-velocity flow in porous-media by Hassanizadeh and Gray -Reply, Transport in Porous Media, pp.319-321, 1988. ,
Multiphase flow and transport processes in the subsurface. A contribution to the modeling of hydrosystems, 1997. ,
Channeling in packed columns, Chemical Engineering Science, vol.1, issue.6, pp.247-253, 1952. ,
DOI : 10.1016/0009-2509(52)87017-4
Development and evaluation of closed-form expressions for hysteretic soil hydraulic properties, Water Resources Research, vol.39, issue.1, pp.105-114, 1987. ,
DOI : 10.2136/sssaj1975.03615995003900020010x
Experimental observations of nonaqueous-phase liquid subsurface movement, Journal of Contaminant Hydrology, vol.12, issue.1-2, pp.79-101, 1993. ,
DOI : 10.1016/0169-7722(93)90016-L
Flow through porous media: limits of fractal patterns, Proc. R. Soc. Lond. A 423, pp.159-168, 1989. ,
Numerical models and experiments on immiscible displacements in porous media, Journal of Fluid Mechanics, vol.291, issue.-1, pp.165-187, 1988. ,
DOI : 10.1017/S0022112083003110
Invasion Percolation in an Etched Network: Measurement of a Fractal Dimension, Physical Review Letters, vol.27, issue.20, pp.2226-2229, 1985. ,
DOI : 10.1103/PhysRevB.27.5686
Capillary fingering: Percolation and fractal dimension, Transport in Porous Media, pp.599-612, 1989. ,
DOI : 10.1007/BF00223630
Mechanisms of the displacement of one fluid by another in a network of capillary ducts, Journal of Fluid Mechanics, vol.210, issue.-1, pp.337-353, 1983. ,
DOI : 10.2118/1140-G
Capillary behaviour in porous solids'. Transactions of the AIME 142, pp.152-169, 1941. ,
DOI : 10.2118/941152-g
Growth activity during fingering in a porous Hele-Shaw cell, Physical Review E, vol.65, issue.2, p.26301, 2004. ,
DOI : 10.1103/PhysRevLett.88.235505
A consistent set of parametric models for the two-phase flow of immiscible fluids in the subsurface, Water Resources Research, vol.3, issue.5, pp.2187-2193, 1989. ,
DOI : 10.2136/sssaj1980.03615995004400050002x
Dynamics of viscous-fingering fractals in porous media, Physical Review A, vol.31, issue.1, pp.2688-2691, 1985. ,
DOI : 10.1103/PhysRevLett.56.336
Dynamics of slow drainage in porous media, Physical Review Letters, vol.329, issue.14, pp.2161-2164, 1992. ,
DOI : 10.1103/PhysRevA.36.318
Interface scaling in a 2D porous medium under combined viscous, gravity and capillary effects, pp.51603-51615, 2002. ,
A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resources Research, vol.12, issue.4, pp.513-512, 1976. ,
DOI : 10.2136/sssaj1966.03615995003000020008x
A MODIFIED DEPENDENT-DOMAIN THEORY OF HYSTERESIS, Soil Science, vol.137, issue.5, pp.283-291, 1984. ,
DOI : 10.1097/00010694-198405000-00001
A model for two-phase flow in porous media including fluid-fluid interfacial area, Water Resources Research, vol.267, issue.8, 2008. ,
DOI : 10.1016/S0022-1694(02)00157-9
A model for hysteretic constitutive relations governing multiphase flow: 1. Saturation-pressure relations, Water Resources Research, vol.3, issue.12, pp.2187-2196, 1987. ,
DOI : 10.2136/sssaj1980.03615995004400050002x
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
HYSTERESIS OF PORE WATER, AN APPLICATION OF THE CONCEPT OF INDEPENDENT DOMAINS, Soil Science, vol.93, issue.6, pp.405-412, 1962. ,
DOI : 10.1097/00010694-196206000-00007
The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid, Proc. Soc. London Ser. A 245, pp.312-329, 1958. ,
Flow and Transport in Porous Media and Fractured Rock, 1995. ,
DOI : 10.1002/9783527636693
Geometry and dynamics of invasion percolation with correlated buoyancy, Physical Review E, vol.52, issue.4, pp.3985-3995, 2000. ,
DOI : 10.1007/BF01019728
A Test of the Uniqueness of the Soil Moisture Characteristic During Transient, Nonhysteretic Flow of Water in a Rigid Soil1, Soil Science Society of America Journal, vol.35, issue.4, pp.534-539, 1971. ,
DOI : 10.2136/sssaj1971.03615995003500040018x
Einfluss der kapillaren Zone auf instationre Drainagevorgnge, pp.13-77, 1977. ,
Cyclic hysteretic flow in porous medium column: model, experiment, and simulations, Journal of Hydrology, vol.240, issue.3-4, pp.264-275, 2001. ,
DOI : 10.1016/S0022-1694(00)00382-6
Influence of pore-scale disorder on viscous fingering during drainage, Europhysics Letters (EPL), vol.71, issue.4, pp.583-589, 2005. ,
DOI : 10.1209/epl/i2005-10136-9
URL : https://hal.archives-ouvertes.fr/hal-00110562
A Closed-form Equation for Predicting the Hydraulic Conductivity of Unsaturated Soils1, Soil Science Society of America Journal, vol.44, issue.5, pp.892-898, 1980. ,
DOI : 10.2136/sssaj1980.03615995004400050002x
Fragmentation Transition for Invasion Percolation in Hydraulic Gradients, Physical Review Letters, vol.67, issue.14, pp.3065-3068, 1998. ,
DOI : 10.1103/PhysRevLett.67.584
The Dynamics of Capillary Flow, Physical Review, vol.42, issue.3, pp.273-283, 1921. ,
DOI : 10.1021/ja01448a006
Dynamic Capillary Pressure in Porous Media: Origin of the Viscous-Fingering Length Scale, Physical Review Letters, vol.50, issue.26, pp.2967-2970, 1987. ,
DOI : 10.1016/0021-9797(75)90225-8
Percolation model of immiscible displacement in the presence of buoyancy forces, Physical Review A, vol.146, issue.1, pp.520-531, 1984. ,
DOI : 10.1088/0305-4470/16/4/016
Invasion percolation: a new form of percolation theory, Journal of Physics A: Mathematical and General, vol.16, issue.14, pp.3365-3376, 1983. ,
DOI : 10.1088/0305-4470/16/14/028