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Volumn 31, Issue 4, 2008, Pages 661-673

Nonequilibrium effects in models of three-phase flow in porous media

Author keywords

Dynamic capillary pressure; Dynamic relative permeability; Elliptic regions; Multiphase flow; Nonequilibrium models; Porous media

Indexed keywords

FLOW OF WATER; MATHEMATICAL MODELS; MECHANICAL PERMEABILITY; POROUS MATERIALS;

EID: 40649103597     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.12.005     Document Type: Article
Times cited : (51)

References (96)
  • 1
    • 34247647193 scopus 로고
    • Capillary conduction of liquids through porous mediums
    • Richards L.A. Capillary conduction of liquids through porous mediums. Physics 1 (1931) 318-333
    • (1931) Physics , vol.1 , pp. 318-333
    • Richards, L.A.1
  • 2
    • 36849128854 scopus 로고
    • The flow of heterogeneous fluids through porous media
    • Muskat M., and Meres M.W. The flow of heterogeneous fluids through porous media. Physics 7 (1936) 346-363
    • (1936) Physics , vol.7 , pp. 346-363
    • Muskat, M.1    Meres, M.W.2
  • 3
    • 0000626041 scopus 로고
    • Mechanism of fluid displacement in sands
    • Buckley S.E., and Leverett M.C. Mechanism of fluid displacement in sands. Petrol Trans AIME 146 (1942) 107-116
    • (1942) Petrol Trans AIME , vol.146 , pp. 107-116
    • Buckley, S.E.1    Leverett, M.C.2
  • 5
    • 0022266152 scopus 로고
    • A multiphase approach to the modeling of porous media contamination by organic compounds, 1. Equation development
    • Abriola L.M., and Pinder G.F. A multiphase approach to the modeling of porous media contamination by organic compounds, 1. Equation development. Water Resour Res 21 1 (1985) 11-18
    • (1985) Water Resour Res , vol.21 , Issue.1 , pp. 11-18
    • Abriola, L.M.1    Pinder, G.F.2
  • 7
    • 0022889104 scopus 로고
    • Derivation of basic equations of mass transport in porous media, Part 2. Generalized Darcy's and Fick's laws
    • Hassanizadeh S.M. Derivation of basic equations of mass transport in porous media, Part 2. Generalized Darcy's and Fick's laws. Adv Water Resour 9 (1986) 207-222
    • (1986) Adv Water Resour , vol.9 , pp. 207-222
    • Hassanizadeh, S.M.1
  • 8
    • 0027788552 scopus 로고
    • Toward an improved description of the physics of two-phase flow
    • Hassanizadeh S.M., and Gray W.G. Toward an improved description of the physics of two-phase flow. Adv Water Resour 16 1 (1993) 53-67
    • (1993) Adv Water Resour , vol.16 , Issue.1 , pp. 53-67
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 9
    • 0032092524 scopus 로고    scopus 로고
    • Methodology for numerical simulation with cycle-dependent relative permeabilities
    • Larsen J.A., and Skauge A. Methodology for numerical simulation with cycle-dependent relative permeabilities. Soc Pet Eng J 3 2 (1998) 163-173
    • (1998) Soc Pet Eng J , vol.3 , Issue.2 , pp. 163-173
    • Larsen, J.A.1    Skauge, A.2
  • 10
    • 31644447536 scopus 로고    scopus 로고
    • Impact of relative permeability hysteresis on the numerical simulation of WAG injection
    • Spiteri E.J., and Juanes R. Impact of relative permeability hysteresis on the numerical simulation of WAG injection. J Pet Sci Eng 50 2 (2006) 115-139
    • (2006) J Pet Sci Eng , vol.50 , Issue.2 , pp. 115-139
    • Spiteri, E.J.1    Juanes, R.2
  • 11
    • 33644810695 scopus 로고    scopus 로고
    • 2 sequestration. In: SPE annual technical conference and exhibition, Dallas, TX, 2005 [SPE 96448].
    • 2 sequestration. In: SPE annual technical conference and exhibition, Dallas, TX, 2005 [SPE 96448].
  • 13
    • 40649101993 scopus 로고    scopus 로고
    • Spiteri EJ, Juanes R, Blunt MJ, Orr Jr FM. A new model of trapping and relative permeability hysteresis for all wettability characteristics. Soc Pet Eng J. [in press].
    • Spiteri EJ, Juanes R, Blunt MJ, Orr Jr FM. A new model of trapping and relative permeability hysteresis for all wettability characteristics. Soc Pet Eng J. [in press].
  • 14
    • 0032308617 scopus 로고    scopus 로고
    • Extending predictive capabilities to network models
    • Øren P.E., Bakke S., and Arntzen O.J. Extending predictive capabilities to network models. Soc Pet Eng J 3 4 (1998) 324-336
    • (1998) Soc Pet Eng J , vol.3 , Issue.4 , pp. 324-336
    • Øren, P.E.1    Bakke, S.2    Arntzen, O.J.3
  • 15
    • 0036464717 scopus 로고    scopus 로고
    • Process based reconstruction of sandstones and prediction of transport properties
    • Øren P.E., and Bakke S. Process based reconstruction of sandstones and prediction of transport properties. Transp Porous Media 46 2-3 (2002) 311-343
    • (2002) Transp Porous Media , vol.46 , Issue.2-3 , pp. 311-343
    • Øren, P.E.1    Bakke, S.2
  • 16
    • 0034935473 scopus 로고    scopus 로고
    • Flow in porous media-pore network models and multiphase flow
    • Blunt M.J. Flow in porous media-pore network models and multiphase flow. Curr Opin Colloid Interface Sci 6 (2001) 197-207
    • (2001) Curr Opin Colloid Interface Sci , vol.6 , pp. 197-207
    • Blunt, M.J.1
  • 17
    • 0036704531 scopus 로고    scopus 로고
    • Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow
    • Blunt M.J., Jackson M.D., Piri M., and Valvatne P.H. Detailed physics, predictive capabilities and macroscopic consequences for pore-network models of multiphase flow. Adv Water Resour 25 (2003) 1069-1089
    • (2003) Adv Water Resour , vol.25 , pp. 1069-1089
    • Blunt, M.J.1    Jackson, M.D.2    Piri, M.3    Valvatne, P.H.4
  • 18
    • 4143081401 scopus 로고    scopus 로고
    • Predictive pore-scale modeling of two-phase flow in mixed wet media
    • 10.1029/2003WR002627
    • Valvatne P.H., and Blunt M.J. Predictive pore-scale modeling of two-phase flow in mixed wet media. Water Resour Res 40 (2004) W07406 10.1029/2003WR002627
    • (2004) Water Resour Res , vol.40
    • Valvatne, P.H.1    Blunt, M.J.2
  • 19
    • 41349087939 scopus 로고    scopus 로고
    • Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. I. Model description
    • 10.1103/PhysRevE.71.026301
    • Piri M., and Blunt M.J. Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. I. Model description. Phys Rev E 71 (2005) 10.1103/PhysRevE.71.026301
    • (2005) Phys Rev E , vol.71
    • Piri, M.1    Blunt, M.J.2
  • 20
    • 41349087939 scopus 로고    scopus 로고
    • Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. II. Results
    • 10.1103/PhysRevE.71.026302
    • Piri M., and Blunt M.J. Three-dimensional mixed-wet random pore-scale network modeling of two- and three-phase flow in porous media. II. Results. Phys Rev E 71 (2005) 10.1103/PhysRevE.71.026302
    • (2005) Phys Rev E , vol.71
    • Piri, M.1    Blunt, M.J.2
  • 21
    • 33846976715 scopus 로고    scopus 로고
    • Pore-scale modeling of water alternate gas injection
    • Suicmez V.S., Piri M., and Blunt M.J. Pore-scale modeling of water alternate gas injection. Transp Porous Media 66 3 (2007) 259-286
    • (2007) Transp Porous Media , vol.66 , Issue.3 , pp. 259-286
    • Suicmez, V.S.1    Piri, M.2    Blunt, M.J.3
  • 22
    • 0025244646 scopus 로고    scopus 로고
    • Oak MJ. Three-phase relative permeability of water-wet Berea. In: SPE/DOE seventh symposium on enhanced oil recovery, Tulsa, OK, 1990. [SPE/DOE 20183].
    • Oak MJ. Three-phase relative permeability of water-wet Berea. In: SPE/DOE seventh symposium on enhanced oil recovery, Tulsa, OK, 1990. [SPE/DOE 20183].
  • 23
    • 0034547244 scopus 로고    scopus 로고
    • Egermann P, Vizika O, Dallet L, Requin C, Sonier F. Hysteresis in three-phase flow: experiments, modeling and reservoir simulations. In: SPE European petroleum conference, Paris, France, 2000 [SPE 65127].
    • Egermann P, Vizika O, Dallet L, Requin C, Sonier F. Hysteresis in three-phase flow: experiments, modeling and reservoir simulations. In: SPE European petroleum conference, Paris, France, 2000 [SPE 65127].
  • 24
    • 1842538143 scopus 로고    scopus 로고
    • Element DJ, Masters JHK, Sargent NC, Jayasekera AJ, Goodyear SG. Assesment of three-phase relative permeability models using laboratory hysteresis data. In: SPE international improved oil recovery conference, Kuala Lumpur, Malaysia, 2003 [SPE 84903].
    • Element DJ, Masters JHK, Sargent NC, Jayasekera AJ, Goodyear SG. Assesment of three-phase relative permeability models using laboratory hysteresis data. In: SPE international improved oil recovery conference, Kuala Lumpur, Malaysia, 2003 [SPE 84903].
  • 25
    • 0023998097 scopus 로고
    • Measuring transport coefficients necessary for the description of coupled two-phase flow of immiscible fluids in porous media
    • Rose W. Measuring transport coefficients necessary for the description of coupled two-phase flow of immiscible fluids in porous media. Transp Porous Media 3 2 (1988) 163-171
    • (1988) Transp Porous Media , vol.3 , Issue.2 , pp. 163-171
    • Rose, W.1
  • 26
    • 0025385121 scopus 로고
    • Coupling coefficients for two-phase flow in pore spaces of simple geometry
    • Rose W. Coupling coefficients for two-phase flow in pore spaces of simple geometry. Transp Porous Media 5 1 (1990) 97-102
    • (1990) Transp Porous Media , vol.5 , Issue.1 , pp. 97-102
    • Rose, W.1
  • 27
    • 0023539315 scopus 로고
    • A macroscopic description of multiphase flow in porous media involving spacetime evolution of fluid-fluid interface
    • Kalaydjian F. A macroscopic description of multiphase flow in porous media involving spacetime evolution of fluid-fluid interface. Transp Porous Media 2 6 (1987) 537-552
    • (1987) Transp Porous Media , vol.2 , Issue.6 , pp. 537-552
    • Kalaydjian, F.1
  • 28
    • 0025444746 scopus 로고
    • Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media
    • Kalaydjian F. Origin and quantification of coupling between relative permeabilities for two-phase flows in porous media. Transp Porous Media 5 3 (1990) 215-229
    • (1990) Transp Porous Media , vol.5 , Issue.3 , pp. 215-229
    • Kalaydjian, F.1
  • 29
    • 0029412690 scopus 로고
    • Flow regimes and relative permeabilities during steady-state 2-phase flow in porous-media
    • Avraam D.G., and Payatakes A.C. Flow regimes and relative permeabilities during steady-state 2-phase flow in porous-media. J Fluid Mech 293 (1995) 207-236
    • (1995) J Fluid Mech , vol.293 , pp. 207-236
    • Avraam, D.G.1    Payatakes, A.C.2
  • 30
    • 0029412626 scopus 로고
    • Generalized relative permeability coefficients during steady-state 2-phase flow in porous-media, and correlation with the flow mechanisms
    • Avraam D.G., and Payatakes A.C. Generalized relative permeability coefficients during steady-state 2-phase flow in porous-media, and correlation with the flow mechanisms. Transp Porous Media 20 1-2 (1995) 135-168
    • (1995) Transp Porous Media , vol.20 , Issue.1-2 , pp. 135-168
    • Avraam, D.G.1    Payatakes, A.C.2
  • 31
    • 0033103272 scopus 로고    scopus 로고
    • Flow mechanisms, relative permeabilities, and coupling effects in steady-state two-phase flow through porous media. The case of strong wettability
    • Avraam D.G., and Payatakes A.C. Flow mechanisms, relative permeabilities, and coupling effects in steady-state two-phase flow through porous media. The case of strong wettability. Ind Eng Chem Res 38 3 (1999) 778-786
    • (1999) Ind Eng Chem Res , vol.38 , Issue.3 , pp. 778-786
    • Avraam, D.G.1    Payatakes, A.C.2
  • 32
    • 0034745408 scopus 로고    scopus 로고
    • True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows
    • Valavanides M.S., and Payatakes A.C. True-to-mechanism model of steady-state two-phase flow in porous media, using decomposition into prototype flows. Adv Water Resour 24 (2001) 385-407
    • (2001) Adv Water Resour , vol.24 , pp. 385-407
    • Valavanides, M.S.1    Payatakes, A.C.2
  • 33
    • 0001599641 scopus 로고
    • Simulation and theory of two-phase flow in porous media
    • Blunt M., King M.J., and Scher H. Simulation and theory of two-phase flow in porous media. Phys Rev A 46 12 (1992) 7680-7699
    • (1992) Phys Rev A , vol.46 , Issue.12 , pp. 7680-7699
    • Blunt, M.1    King, M.J.2    Scher, H.3
  • 34
    • 0032852405 scopus 로고    scopus 로고
    • A dynamic network model for two-phase immiscible flow
    • Dahle H.K., and Celia M.A. A dynamic network model for two-phase immiscible flow. Comput Geosci 3 (1999) 1-22
    • (1999) Comput Geosci , vol.3 , pp. 1-22
    • Dahle, H.K.1    Celia, M.A.2
  • 35
    • 0037219956 scopus 로고    scopus 로고
    • Dynamic modelling of drainage through three-dimensional porous materials
    • Singh M., and Mohanty K.K. Dynamic modelling of drainage through three-dimensional porous materials. Chem Eng Sci 58 1 (2003) 1-18
    • (2003) Chem Eng Sci , vol.58 , Issue.1 , pp. 1-18
    • Singh, M.1    Mohanty, K.K.2
  • 36
    • 41349089472 scopus 로고    scopus 로고
    • Dynamic network modeling of two-phase drainage in porous media
    • 10.1103/PhysRevE.71.016308
    • Al-Gharbi M.S., and Blunt M.J. Dynamic network modeling of two-phase drainage in porous media. Phys Rev E 71 1 (2005) 10.1103/PhysRevE.71.016308
    • (2005) Phys Rev E , vol.71 , Issue.1
    • Al-Gharbi, M.S.1    Blunt, M.J.2
  • 37
    • 0025685840 scopus 로고
    • Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries
    • Hassanizadeh S.M., and Gray W.G. Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries. Adv Water Resour 13 4 (1990) 169-186
    • (1990) Adv Water Resour , vol.13 , Issue.4 , pp. 169-186
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 38
    • 0027881895 scopus 로고
    • Thermodynamic basis of capillary pressure in porous media
    • Hassanizadeh S.M., and Gray W.G. Thermodynamic basis of capillary pressure in porous media. Water Resour Res 29 10 (1993) 3389-3405
    • (1993) Water Resour Res , vol.29 , Issue.10 , pp. 3389-3405
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 39
    • 83455218430 scopus 로고    scopus 로고
    • Dynamic effects in the capillary pressure-saturation relationship and its impact on unsaturated flow
    • Hassanizadeh S.M., Celia M.A., and Dahle H.K. Dynamic effects in the capillary pressure-saturation relationship and its impact on unsaturated flow. Vadose Zone J 1 1 (2002) 38-57
    • (2002) Vadose Zone J , vol.1 , Issue.1 , pp. 38-57
    • Hassanizadeh, S.M.1    Celia, M.A.2    Dahle, H.K.3
  • 40
    • 29944442883 scopus 로고    scopus 로고
    • Exploring dynamic effects in capillary pressure in multistep outflow experiments
    • 10.1029/2005WR004010
    • O'Carroll D.M., Phelan T.J., and Abriola L.M. Exploring dynamic effects in capillary pressure in multistep outflow experiments. Water Resour Res 41 11 (2005) W11419 10.1029/2005WR004010
    • (2005) Water Resour Res , vol.41 , Issue.11
    • O'Carroll, D.M.1    Phelan, T.J.2    Abriola, L.M.3
  • 41
    • 2442695645 scopus 로고    scopus 로고
    • Experimental measurements of saturation overshoot on infiltration
    • 10.1029/2003WR002670
    • DiCarlo D.A. Experimental measurements of saturation overshoot on infiltration. Water Resour Res 40 4 (2004) W04215 10.1029/2003WR002670
    • (2004) Water Resour Res , vol.40 , Issue.4
    • DiCarlo, D.A.1
  • 42
    • 40649126773 scopus 로고    scopus 로고
    • Stauffer F. Time dependence of the relations between capillary pressure, water content and conductivity during drainage of porous media. In: IAHR symposium on scale effects in porous media, Thessaloniki, Greece, 1978.
    • Stauffer F. Time dependence of the relations between capillary pressure, water content and conductivity during drainage of porous media. In: IAHR symposium on scale effects in porous media, Thessaloniki, Greece, 1978.
  • 43
    • 13844308977 scopus 로고    scopus 로고
    • Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship
    • Dahle H.K., Celia M.A., and Hassanizadeh S.M. Bundle-of-tubes model for calculating dynamic effects in the capillary-pressure-saturation relationship. Transp Porous Media 58 1 (2005) 5-22
    • (2005) Transp Porous Media , vol.58 , Issue.1 , pp. 5-22
    • Dahle, H.K.1    Celia, M.A.2    Hassanizadeh, S.M.3
  • 44
    • 24644508908 scopus 로고    scopus 로고
    • Modeling observed saturation overshoot with continuum additions to standard unsaturated theory
    • DiCarlo D.A. Modeling observed saturation overshoot with continuum additions to standard unsaturated theory. Adv Water Resour 28 (2005) 1021-1027
    • (2005) Adv Water Resour , vol.28 , pp. 1021-1027
    • DiCarlo, D.A.1
  • 45
    • 40649093135 scopus 로고    scopus 로고
    • Dynamic capillary effects in heterogeneous porous media
    • Helmig R., Weiss A., and Wohlmuth B.I. Dynamic capillary effects in heterogeneous porous media. Comput Geosci 11 3 (2007) 261-274
    • (2007) Comput Geosci , vol.11 , Issue.3 , pp. 261-274
    • Helmig, R.1    Weiss, A.2    Wohlmuth, B.I.3
  • 46
    • 0035358699 scopus 로고    scopus 로고
    • A theoretical model of hysteresis and dynamic effects in the capillary relation for two-phase flow in porous media
    • Beliaev A.Y., and Hassanizadeh S.M. A theoretical model of hysteresis and dynamic effects in the capillary relation for two-phase flow in porous media. Transp Porous Media 43 3 (2001) 487-510
    • (2001) Transp Porous Media , vol.43 , Issue.3 , pp. 487-510
    • Beliaev, A.Y.1    Hassanizadeh, S.M.2
  • 47
    • 13844307335 scopus 로고    scopus 로고
    • Macro-scale dynamic effects in homogeneous and heterogeneous porous media
    • Manthey S., Hassanizadeh S.M., and Helmig R. Macro-scale dynamic effects in homogeneous and heterogeneous porous media. Transp Porous Media 58 1-2 (2005) 5-22
    • (2005) Transp Porous Media , vol.58 , Issue.1-2 , pp. 5-22
    • Manthey, S.1    Hassanizadeh, S.M.2    Helmig, R.3
  • 48
    • 33847174559 scopus 로고    scopus 로고
    • Dynamic effects in capillary pressure-saturations relationships for two-phase flow in 3D porous media: Implications of micro-heterogeneities
    • Mirzaei M., and Das D.B. Dynamic effects in capillary pressure-saturations relationships for two-phase flow in 3D porous media: Implications of micro-heterogeneities. Chem Eng Sci 62 7 (2006) 1927-1947
    • (2006) Chem Eng Sci , vol.62 , Issue.7 , pp. 1927-1947
    • Mirzaei, M.1    Das, D.B.2
  • 49
    • 35248838869 scopus 로고    scopus 로고
    • Dynamic effects for two-phase flow in porous media: fluid property effects
    • Das D.B., Gauldie R., and Mirzaei M. Dynamic effects for two-phase flow in porous media: fluid property effects. AIChE J 53 10 (2007) 2505-2520
    • (2007) AIChE J , vol.53 , Issue.10 , pp. 2505-2520
    • Das, D.B.1    Gauldie, R.2    Mirzaei, M.3
  • 50
    • 0347467589 scopus 로고    scopus 로고
    • Infiltration in porous media with dynamic capillary pressure: travelling waves
    • Cuesta C., van Duijn C.J., and Hulshof J. Infiltration in porous media with dynamic capillary pressure: travelling waves. Eur J Appl Math 11 (2000) 381-397
    • (2000) Eur J Appl Math , vol.11 , pp. 381-397
    • Cuesta, C.1    van Duijn, C.J.2    Hulshof, J.3
  • 51
    • 40649091149 scopus 로고    scopus 로고
    • Nonmonotonic traveling wave solutions of infiltration in porous media
    • 10.1029/2007WR005975
    • DiCarlo D.A., Juanes R., LaForce T., and Witelski T.P. Nonmonotonic traveling wave solutions of infiltration in porous media. Water Resour Res 44 (2008) W02406 10.1029/2007WR005975
    • (2008) Water Resour Res , vol.44
    • DiCarlo, D.A.1    Juanes, R.2    LaForce, T.3    Witelski, T.P.4
  • 52
    • 0037290482 scopus 로고    scopus 로고
    • A model problem for groundwater flow with dynamic capillary pressure: stability of traveling waves
    • Cuesta C., and Hulshof J. A model problem for groundwater flow with dynamic capillary pressure: stability of traveling waves. Nonlin Anal 52 (2003) 1199-1218
    • (2003) Nonlin Anal , vol.52 , pp. 1199-1218
    • Cuesta, C.1    Hulshof, J.2
  • 53
    • 40649086967 scopus 로고    scopus 로고
    • A new class of entropy solutions of the Buckley-Leverett equation
    • van Duijn C.J., Peletier L.A., and Pop I.S. A new class of entropy solutions of the Buckley-Leverett equation. SIAM J Math Anal 39 2 (2007) 507-536
    • (2007) SIAM J Math Anal , vol.39 , Issue.2 , pp. 507-536
    • van Duijn, C.J.1    Peletier, L.A.2    Pop, I.S.3
  • 54
    • 0034915306 scopus 로고    scopus 로고
    • On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: the inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state
    • Eliassi M., and Glass R.J. On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: the inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state. Water Resour Res 37 (2001) 2019-2035
    • (2001) Water Resour Res , vol.37 , pp. 2019-2035
    • Eliassi, M.1    Glass, R.J.2
  • 55
    • 0036880464 scopus 로고    scopus 로고
    • On the porous-continuum modeling of gravity-driven fingers in unsaturated materials: extension of standard theory with a hold-back-pile-up effect
    • doi:1210.1029/2001WR001131, Art. No. 1234
    • Eliassi M., and Glass R.J. On the porous-continuum modeling of gravity-driven fingers in unsaturated materials: extension of standard theory with a hold-back-pile-up effect. Water Resour Res 38 11 (2002) doi:1210.1029/2001WR001131, Art. No. 1234
    • (2002) Water Resour Res , vol.38 , Issue.11
    • Eliassi, M.1    Glass, R.J.2
  • 56
    • 1542651285 scopus 로고    scopus 로고
    • On the porous continuum-scale modeling of gravity-driven fingers in unsaturated materials: numerical solution of a hypodiffusive governing equation that incorporates a hold-back-pile-up effect
    • doi:1110.1029/2002WR001535, Art. No. 1167
    • Eliassi M., and Glass R.J. On the porous continuum-scale modeling of gravity-driven fingers in unsaturated materials: numerical solution of a hypodiffusive governing equation that incorporates a hold-back-pile-up effect. Water Resour Res (2003) 39 doi:1110.1029/2002WR001535, Art. No. 1167
    • (2003) Water Resour Res , pp. 39
    • Eliassi, M.1    Glass, R.J.2
  • 57
    • 1542757408 scopus 로고    scopus 로고
    • Stability analysis of gravity-driven infiltrating flow
    • doi:1210.1029/2002WR001886, Art. No. 1266
    • Egorov A.G., Dautov R.Z., Nieber J.L., and Sheshukov A.Y. Stability analysis of gravity-driven infiltrating flow. Water Resour Res (2003) 39 doi:1210.1029/2002WR001886, Art. No. 1266
    • (2003) Water Resour Res , pp. 39
    • Egorov, A.G.1    Dautov, R.Z.2    Nieber, J.L.3    Sheshukov, A.Y.4
  • 58
    • 13844314845 scopus 로고    scopus 로고
    • Dynamic capillary pressure mechanism for instability in gravity-driven flows; review and extension to very dry conditions
    • Nieber J.L., Dautov R.Z., Egorov A.G., and Sheshukov A.Y. Dynamic capillary pressure mechanism for instability in gravity-driven flows; review and extension to very dry conditions. Transp Porous Media 58 (2005) 147-172
    • (2005) Transp Porous Media , vol.58 , pp. 147-172
    • Nieber, J.L.1    Dautov, R.Z.2    Egorov, A.G.3    Sheshukov, A.Y.4
  • 59
    • 34250416644 scopus 로고
    • Filtration of two nonmixing fluids in a homogeneous porous medium
    • Barenblatt G.I. Filtration of two nonmixing fluids in a homogeneous porous medium. Sov Acad Izv: Mech Gas Fluids 5 (1971) 857-864
    • (1971) Sov Acad Izv: Mech Gas Fluids , vol.5 , pp. 857-864
    • Barenblatt, G.I.1
  • 60
    • 0002449293 scopus 로고
    • Non-equilibrium seepage of immiscible fluids
    • Barenblatt G.I., and Vinnichenko A.P. Non-equilibrium seepage of immiscible fluids. Adv Mech 3 3 (1980) 35-50
    • (1980) Adv Mech , vol.3 , Issue.3 , pp. 35-50
    • Barenblatt, G.I.1    Vinnichenko, A.P.2
  • 61
    • 0346198369 scopus 로고
    • A mathematical model of non-equilibrium countercurrent capillary imbibition
    • Barenblatt G.I., and Gilman A.A. A mathematical model of non-equilibrium countercurrent capillary imbibition. Eng Phys J 52 3 (1987) 456-461
    • (1987) Eng Phys J , vol.52 , Issue.3 , pp. 456-461
    • Barenblatt, G.I.1    Gilman, A.A.2
  • 62
    • 85065356856 scopus 로고    scopus 로고
    • Mathematical model of the non-equilibrium water-oil displacement in porous strata
    • Barenblatt G.I., Garcia-Azorero J., De Pablo A., and Vazquez J.L. Mathematical model of the non-equilibrium water-oil displacement in porous strata. Appl Anal 65 (1997) 19-45
    • (1997) Appl Anal , vol.65 , pp. 19-45
    • Barenblatt, G.I.1    Garcia-Azorero, J.2    De Pablo, A.3    Vazquez, J.L.4
  • 63
    • 0008361872 scopus 로고
    • Kluwer, Dordrecht [expanded and revised edition of the original in Russian Dvizhenie zhidkostei i gazov v prirodnykh plastakh, Nedra Publishers; 1984]
    • Barenblatt G.I., Entov V.M., and Ryzhik V.M. Theory of fluid flows through natural rocks. Theory and applications of transport in porous media vol. 3 (1990), Kluwer, Dordrecht [expanded and revised edition of the original in Russian Dvizhenie zhidkostei i gazov v prirodnykh plastakh, Nedra Publishers; 1984]
    • (1990) Theory and applications of transport in porous media , vol.3
    • Barenblatt, G.I.1    Entov, V.M.2    Ryzhik, V.M.3
  • 64
    • 0346009268 scopus 로고    scopus 로고
    • The mathematical model of non-equilibrium effects in water-oil displacement
    • Barenblatt G.I., Patzek T.W., and Silin D.B. The mathematical model of non-equilibrium effects in water-oil displacement. Soc Pet Eng J 8 4 (2003) 409-416
    • (2003) Soc Pet Eng J , vol.8 , Issue.4 , pp. 409-416
    • Barenblatt, G.I.1    Patzek, T.W.2    Silin, D.B.3
  • 65
    • 0346828919 scopus 로고    scopus 로고
    • On Barenblatt's model of spontaneous countercurrent imbibition
    • Silin D., and Patzek T. On Barenblatt's model of spontaneous countercurrent imbibition. Transp Porous Media 54 3 (2004) 297-322
    • (2004) Transp Porous Media , vol.54 , Issue.3 , pp. 297-322
    • Silin, D.1    Patzek, T.2
  • 66
    • 0025203407 scopus 로고
    • Numerical study of the nonequilibrium filtration of immiscible liquids
    • Bocharov O.B., Kuznetsov V.V., and Chekhovich Y.V. Numerical study of the nonequilibrium filtration of immiscible liquids. J Eng Phys 57 1 (1989) 803-806
    • (1989) J Eng Phys , vol.57 , Issue.1 , pp. 803-806
    • Bocharov, O.B.1    Kuznetsov, V.V.2    Chekhovich, Y.V.3
  • 67
    • 0033266226 scopus 로고    scopus 로고
    • On the Barenblatt model for non-equilibrium two phase flow in porous media
    • Natalini R., and Tesei A. On the Barenblatt model for non-equilibrium two phase flow in porous media. Arch Rational Mech Anal 150 4 (1999) 349-367
    • (1999) Arch Rational Mech Anal , vol.150 , Issue.4 , pp. 349-367
    • Natalini, R.1    Tesei, A.2
  • 68
    • 33645473402 scopus 로고    scopus 로고
    • Nonequilibrium effects during spontaneous imbibition
    • Le Guen S.S., and Kovscek A.R. Nonequilibrium effects during spontaneous imbibition. Transp Porous Media 63 (2006) 127-146
    • (2006) Transp Porous Media , vol.63 , pp. 127-146
    • Le Guen, S.S.1    Kovscek, A.R.2
  • 69
    • 33745622871 scopus 로고    scopus 로고
    • Estimation of dynamic relative permeability and capillary pressure from countercurrent imbibition experiments
    • Schembre J.M., and Kovscek A.R. Estimation of dynamic relative permeability and capillary pressure from countercurrent imbibition experiments. Transp Porous Media 65 (2006) 31-51
    • (2006) Transp Porous Media , vol.65 , pp. 31-51
    • Schembre, J.M.1    Kovscek, A.R.2
  • 70
    • 0000366367 scopus 로고
    • A form of heat conduction equation which eliminates the paradox of instantaneous propagation
    • Cattaneo C. A form of heat conduction equation which eliminates the paradox of instantaneous propagation. Comp Rend 247 (1958) 431-433
    • (1958) Comp Rend , vol.247 , pp. 431-433
    • Cattaneo, C.1
  • 71
    • 0041107241 scopus 로고    scopus 로고
    • The generalized Cattaneo equation for the description of anomalous transport processes
    • Compte A., and Metzler R. The generalized Cattaneo equation for the description of anomalous transport processes. J Phys A - Math Gen 30 (1997) 7277-7289
    • (1997) J Phys A - Math Gen , vol.30 , pp. 7277-7289
    • Compte, A.1    Metzler, R.2
  • 72
    • 37249006592 scopus 로고
    • General conservation equations for multi-phase systems: 1. Averaging procedure
    • Hassanizadeh M., and Gray W.G. General conservation equations for multi-phase systems: 1. Averaging procedure. Adv Water Resour 2 3 (1979) 131-144
    • (1979) Adv Water Resour , vol.2 , Issue.3 , pp. 131-144
    • Hassanizadeh, M.1    Gray, W.G.2
  • 73
    • 0013726079 scopus 로고
    • General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations
    • Hassanizadeh M., and Gray W.G. General conservation equations for multi-phase systems: 2. Mass, momenta, energy, and entropy equations. Adv Water Resour 2 4 (1979) 191-203
    • (1979) Adv Water Resour , vol.2 , Issue.4 , pp. 191-203
    • Hassanizadeh, M.1    Gray, W.G.2
  • 74
    • 0018929962 scopus 로고
    • General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow
    • Hassanizadeh M., and Gray W.G. General conservation equations for multi-phase systems: 3. Constitutive theory for porous media flow. Adv Water Resour 3 1 (1980) 25-40
    • (1980) Adv Water Resour , vol.3 , Issue.1 , pp. 25-40
    • Hassanizadeh, M.1    Gray, W.G.2
  • 75
    • 0032054018 scopus 로고    scopus 로고
    • Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points
    • Gray W.G., and Hassanizadeh S.M. Macroscale continuum mechanics for multiphase porous-media flow including phases, interfaces, common lines and common points. Adv Water Resour 21 (1998) 261-281
    • (1998) Adv Water Resour , vol.21 , pp. 261-281
    • Gray, W.G.1    Hassanizadeh, S.M.2
  • 78
    • 0001192714 scopus 로고
    • Capillary behavior of porous solids
    • Leverett M.C. Capillary behavior of porous solids. Petrol Trans AIME 142 (1941) 152-169
    • (1941) Petrol Trans AIME , vol.142 , pp. 152-169
    • Leverett, M.C.1
  • 79
    • 0028074141 scopus 로고    scopus 로고
    • Zhou D, Fayers FJ, Orr Jr FM. Scaling of multiphase flow in simple heterogeneous porous media. In: SPE/DOE improved oil recovery symposium, Tulsa, OK, 1994. [SPE 27833].
    • Zhou D, Fayers FJ, Orr Jr FM. Scaling of multiphase flow in simple heterogeneous porous media. In: SPE/DOE improved oil recovery symposium, Tulsa, OK, 1994. [SPE 27833].
  • 80
    • 0027677962 scopus 로고
    • Numerical methods for hyperbolic conservation laws with stiff relaxation I. Spurious solutions
    • Pember R. Numerical methods for hyperbolic conservation laws with stiff relaxation I. Spurious solutions. SIAM J Appl Math 53 5 (1993) 1293-1330
    • (1993) SIAM J Appl Math , vol.53 , Issue.5 , pp. 1293-1330
    • Pember, R.1
  • 81
    • 0000417595 scopus 로고
    • Numerical methods for hyperbolic conservation laws with stiff relaxation II. Higher-order Godunov methods
    • Pember R. Numerical methods for hyperbolic conservation laws with stiff relaxation II. Higher-order Godunov methods. SIAM J Sci Comput 14 4 (1993) 824-859
    • (1993) SIAM J Sci Comput , vol.14 , Issue.4 , pp. 824-859
    • Pember, R.1
  • 82
    • 0001862602 scopus 로고
    • Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms
    • Jin S. Runge-Kutta methods for hyperbolic conservation laws with stiff relaxation terms. J Comput Phys 122 (1995) 51-67
    • (1995) J Comput Phys , vol.122 , pp. 51-67
    • Jin, S.1
  • 83
    • 0030194392 scopus 로고    scopus 로고
    • Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
    • Jin S., and Levermore C.D. Numerical schemes for hyperbolic conservation laws with stiff relaxation terms. J Comput Phys 126 (1996) 449-467
    • (1996) J Comput Phys , vol.126 , pp. 449-467
    • Jin, S.1    Levermore, C.D.2
  • 84
    • 40649102737 scopus 로고    scopus 로고
    • Juanes R. Displacement theory and multiscale numerical modeling of three-phase flow in porous media. PhD Dissertation, University of California at Berkeley [March 2003].
    • Juanes R. Displacement theory and multiscale numerical modeling of three-phase flow in porous media. PhD Dissertation, University of California at Berkeley [March 2003].
  • 85
    • 4344645364 scopus 로고    scopus 로고
    • Relative permeabilities for strictly hyperbolic models of three-phase flow in porous media
    • Juanes R., and Patzek T.W. Relative permeabilities for strictly hyperbolic models of three-phase flow in porous media. Transp Porous Media 57 2 (2004) 125-152
    • (2004) Transp Porous Media , vol.57 , Issue.2 , pp. 125-152
    • Juanes, R.1    Patzek, T.W.2
  • 86
    • 1242310684 scopus 로고    scopus 로고
    • Analytical solution to the Riemann problem of three-phase flow in porous media
    • Juanes R., and Patzek T.W. Analytical solution to the Riemann problem of three-phase flow in porous media. Transp Porous Media 55 1 (2004) 47-70
    • (2004) Transp Porous Media , vol.55 , Issue.1 , pp. 47-70
    • Juanes, R.1    Patzek, T.W.2
  • 87
    • 4744352201 scopus 로고    scopus 로고
    • Three-phase displacement theory: an improved description of relative permeabilities
    • Juanes R., and Patzek T.W. Three-phase displacement theory: an improved description of relative permeabilities. Soc Pet Eng J 9 3 (2004) 302-313
    • (2004) Soc Pet Eng J , vol.9 , Issue.3 , pp. 302-313
    • Juanes, R.1    Patzek, T.W.2
  • 90
    • 0022890421 scopus 로고
    • Conservation laws of mixed type describing three-phase flow in porous media
    • Bell J.B., Trangenstein J.A., and Shubin G.R. Conservation laws of mixed type describing three-phase flow in porous media. SIAM J Appl Math 46 6 (1986) 1000-1017
    • (1986) SIAM J Appl Math , vol.46 , Issue.6 , pp. 1000-1017
    • Bell, J.B.1    Trangenstein, J.A.2    Shubin, G.R.3
  • 91
    • 0001643513 scopus 로고
    • Loss of real characteristics for models of three-phase flow in a porous medium
    • Shearer M., and Trangenstein J.A. Loss of real characteristics for models of three-phase flow in a porous medium. Transp Porous Media 4 (1989) 499-525
    • (1989) Transp Porous Media , vol.4 , pp. 499-525
    • Shearer, M.1    Trangenstein, J.A.2
  • 92
    • 0025447129 scopus 로고
    • On the strict hyperbolicity of the Buckley-Leverett equations for three-phase flow in a porous medium
    • Holden L. On the strict hyperbolicity of the Buckley-Leverett equations for three-phase flow in a porous medium. SIAM J Appl Math 50 3 (1990) 667-682
    • (1990) SIAM J Appl Math , vol.50 , Issue.3 , pp. 667-682
    • Holden, L.1
  • 93
    • 84990557271 scopus 로고
    • On the Riemann problem for a prototype of a mixed type conservation law
    • Holden H. On the Riemann problem for a prototype of a mixed type conservation law. Comm Pure Appl Math 40 2 (1987) 229-264
    • (1987) Comm Pure Appl Math , vol.40 , Issue.2 , pp. 229-264
    • Holden, H.1
  • 94
    • 0004541470 scopus 로고
    • Some qualitative properties of 2 × 2 systems of conservation laws of mixed type
    • Nonlinear evolution equations that change type. Keyfitz B.L., and Shearer M. (Eds), Springer-Verlag, New York
    • Holden H., Holden L., and Risebro N.H. Some qualitative properties of 2 × 2 systems of conservation laws of mixed type. In: Keyfitz B.L., and Shearer M. (Eds). Nonlinear evolution equations that change type. The IMA volumes in mathematics and its applications vol. 27 (1990), Springer-Verlag, New York 67-78
    • (1990) The IMA volumes in mathematics and its applications , vol.27 , pp. 67-78
    • Holden, H.1    Holden, L.2    Risebro, N.H.3
  • 96
    • 0036722545 scopus 로고    scopus 로고
    • Elliptic regions and stable solutions for three-phase flow in porous media
    • Jackson M.D., and Blunt M.J. Elliptic regions and stable solutions for three-phase flow in porous media. Transp Porous Media 48 (2002) 249-269
    • (2002) Transp Porous Media , vol.48 , pp. 249-269
    • Jackson, M.D.1    Blunt, M.J.2


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