메뉴 건너뛰기




Volumn 62, Issue 5, 2002, Pages 1531-1568

Effective equations for two-phase flow with trapping on the micro scale

Author keywords

Buckley Leverett equation; Degenerate parabolic equations; Homogenization; Porous media flow

Indexed keywords

CAPILLARY FLOW; NUMERICAL ANALYSIS; POROUS MATERIALS; PRESSURE EFFECTS; TWO PHASE FLOW;

EID: 0036588730     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139901385564     Document Type: Article
Times cited : (55)

References (29)
  • 1
    • 0000836987 scopus 로고
    • Quasilinear elliptic-parabolic differential equations
    • H.W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z., 183 (1983), pp. 311-341.
    • (1983) Math. Z. , vol.183 , pp. 311-341
    • Alt, H.W.1    Luckhaus, S.2
  • 7
    • 0002518416 scopus 로고
    • Hydraulic properties of porous media
    • Colorado State University, Fort Collins, CO
    • R.H. Brooks and A.T. corey, Hydraulic properties of porous media, Hydrology Papers, Colorado State University, Fort Collins, CO, 1964.
    • (1964) Hydrology Papers
    • Brooks, R.H.1    Corey, A.T.2
  • 8
    • 0003325193 scopus 로고
    • Mathematical models and finite elements for reservoir simulations
    • North-Holland, Amsterdam, New York, Oxford
    • G. Chavent and J. Jaffre, Mathematical Models and Finite Elements for Reservoir Simulations, Studies in Mathematics and its Applications, Vol. 17, North-Holland, Amsterdam, New York, Oxford, 1986.
    • (1986) Studies in Mathematics and its Applications , vol.17
    • Chavent, G.1    Jaffre, J.2
  • 9
    • 0002541210 scopus 로고
    • The interrelation between gas and oil relative permeabilities
    • A.T. Corey, The interrelation between gas and oil relative permeabilities, Producer's Monthly, 19 (1954), pp. 38-41.
    • (1954) Producer's Monthly , vol.19 , pp. 38-41
    • Corey, A.T.1
  • 10
    • 0031104610 scopus 로고    scopus 로고
    • Effective relative permeabilities and capillary pressure for one-dimensional heterogeneous media
    • M. Dale, S. Ekrann, J. Mykkeltveit, and G. Virnovsky, Effective relative permeabilities and capillary pressure for one-dimensional heterogeneous media, Transp. Porous Media, 26 (1997), pp. 229-260.
    • (1997) Transp. Porous Media , vol.26 , pp. 229-260
    • Dale, M.1    Ekrann, S.2    Mykkeltveit, J.3    Virnovsky, G.4
  • 13
    • 0026613492 scopus 로고
    • Mathematical analysis of the influence of power-law fluid rheology on a capillary diffusion zone
    • C.J. Van Duijn and F.J.T. Floris, Mathematical analysis of the influence of power-law fluid rheology on a capillary diffusion zone, J. Pet. Sci. Engrg., 7 (1992), pp. 215-237.
    • (1992) J. Pet. Sci. Engrg. , vol.7 , pp. 215-237
    • Van Duijn, C.J.1    Floris, F.J.T.2
  • 14
    • 0029412586 scopus 로고
    • Effects of capillary forces on immiscible two-phase flow in heterogeneous porous media
    • C.J. Van Duijn, J. Molenaar, and M.J. De Neef, Effects of capillary forces on immiscible two-phase flow in heterogeneous porous media, Transp. Porous Media, 21 (1995), pp. 71-93.
    • (1995) Transp. Porous Media , vol.21 , pp. 71-93
    • Van Duijn, C.J.1    Molenaar, J.2    De Neef, M.J.3
  • 15
    • 0021405854 scopus 로고
    • The flow of two immiscible fluids through a porous medium
    • C.J. Van Duijn and Q.X. Ye, The flow of two immiscible fluids through a porous medium, Nonlinear Anal., 8 (1984), pp. 353-367.
    • (1984) Nonlinear Anal. , vol.8 , pp. 353-367
    • Van Duijn, C.J.1    Ye, Q.X.2
  • 16
    • 0042188418 scopus 로고    scopus 로고
    • Monotone difference approximations of BV solutions to degenerate convection-diffusion equations
    • S. Evje and K.H. Karlsen, Monotone difference approximations of BV solutions to degenerate convection-diffusion equations, SIAM J. Numer. Anal., 37 (2000), pp. 1838-1860.
    • (2000) SIAM J. Numer. Anal. , vol.37 , pp. 1838-1860
    • Evje, S.1    Karlsen, K.H.2
  • 17
    • 0002483505 scopus 로고
    • The occurrence of interfaces in nonlinear diffusion-advection processes
    • B.H. Gilding, The occurrence of interfaces in nonlinear diffusion-advection processes, Arch. Ration. Mech. Anal., 100 (1988), pp. 243-263.
    • (1988) Arch. Ration. Mech. Anal. , vol.100 , pp. 243-263
    • Gilding, B.H.1
  • 18
    • 0026291710 scopus 로고
    • Qualitative mathematical analysis of the Richards equation, Transp
    • B.H. Gilding, Qualitative mathematical analysis of the Richards equation, Transp. Porous Media, 5 (1991), pp. 651-666.
    • (1991) Porous Media , vol.5 , pp. 651-666
    • Gilding, B.H.1
  • 19
    • 0003361225 scopus 로고    scopus 로고
    • Homogenization and porous media
    • Springer-Verlag, New York
    • U. Hornung, Homogenization and Porous Media, Interdisciplinary Applied Mathematics, Vol. 6, Springer-Verlag, New York, 1997.
    • (1997) Interdisciplinary Applied Mathematics , vol.6
    • Hornung, U.1
  • 20
    • 0022181238 scopus 로고
    • Water/oil displacement characteristics in crossbedded reservoir zones
    • T.F.M. Kortekaas, Water/oil displacement characteristics in crossbedded reservoir zones, Soc. Pet. Eng. J., (1985), pp. 917-926.
    • (1985) Soc. Pet. Eng. J. , pp. 917-926
    • Kortekaas, T.F.M.1
  • 21
    • 0001192714 scopus 로고
    • Capillary behavior in porous solids
    • M.C. Leverett, Capillary behavior in porous solids, Trans. AIME Petr. Eng. Div., 142 (1941), pp. 152-169.
    • (1941) Trans. AIME Petr. Eng. Div. , vol.142 , pp. 152-169
    • Leverett, M.C.1
  • 23
    • 0034274964 scopus 로고    scopus 로고
    • The derivation of a non-linear filtration law including the inertia effects via homogenization
    • E. Marušić-Paloka and A. Mikelić, The derivation of a non-linear filtration law including the inertia effects via homogenization, Nonlinear Anal., 42 (2000), pp. 97-137.
    • (2000) Nonlinear Anal. , vol.42 , pp. 97-137
    • Marušić-Paloka, E.1    Mikelić, A.2
  • 24
    • 0000654305 scopus 로고
    • Effets inertiels pour un écoulement stationnaire visqueux incompressible dans un milieu poreux
    • A. Mikelić, Effets inertiels pour un écoulement stationnaire visqueux incompressible dans un milieu poreux, C.R. Acad. Sci. Paris Sér. I Math., 320 (1995), pp. 1289-1294.
    • (1995) C.R. Acad. Sci. Paris Sér. I Math. , vol.320 , pp. 1289-1294
    • Mikelić, A.1
  • 25
    • 0000729803 scopus 로고    scopus 로고
    • Homogenization theory and applications to filtration through porous media
    • Filtration in Porous Media and Industrial Application, A. Fasano, ed., Springer-Verlag, Berlin
    • A. Mikelić, Homogenization theory and applications to filtration through porous media, in Filtration in Porous Media and Industrial Application, A. Fasano, ed., Lecture Notes in Math. 1734, Springer-Verlag, Berlin, 2000, pp. 127-214.
    • (2000) Lecture Notes in Math. , vol.1734 , pp. 127-214
    • Mikelić, A.1
  • 26
    • 0000471035 scopus 로고
    • Diffusion in random media
    • J.B. Keller, D.W. McLaughlin, and G.C. Papanicolaou, eds., Plenum Press, New York
    • G.C. Papanicolaou, Diffusion in random media, in Surveys in Applied Mathematics, Vol. I, J.B. Keller, D.W. McLaughlin, and G.C. Papanicolaou, eds., Plenum Press, New York, 1995, pp. 205-254.
    • (1995) Surveys in Applied Mathematics , vol.1 , pp. 205-254
    • Papanicolaou, G.C.1
  • 27
    • 0002197945 scopus 로고
    • Non-Homogeneous Media and Vibration Theory
    • Springer-Verlag, Berlin, Heidelberg, New York
    • E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory, Lecture Notes in Phys. 127, Springer-Verlag, Berlin, Heidelberg, New York, 1980.
    • (1980) Lecture Notes in Phys. , vol.127
    • Sanchez-Palencia, E.1
  • 28
    • 84972508790 scopus 로고
    • An approach by difference to the porous medium equation with convection
    • M. Watanabe, An approach by difference to the porous medium equation with convection, Hiroshima Math. J., 25 (1995), pp. 623-645.
    • (1995) Hiroshima Math. J. , vol.25 , pp. 623-645
    • Watanabe, M.1
  • 29
    • 0025467738 scopus 로고
    • Capillary effects in steady-state flow in heterogeneous cores
    • Y.C. Yortsos and J. Chang, Capillary effects in steady-state flow in heterogeneous cores, Transp. Porous Media, 5 (1990), pp. 399-420.
    • (1990) Transp. Porous Media , vol.5 , pp. 399-420
    • Yortsos, Y.C.1    Chang, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.