메뉴 건너뛰기




Volumn 250, Issue 3, 2011, Pages 1685-1718

An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media

Author keywords

Global pressure; Immiscible compressible; Porous media; Two phase flow

Indexed keywords


EID: 78349305717     PISSN: 00220396     EISSN: 10902732     Source Type: Journal    
DOI: 10.1016/j.jde.2010.09.008     Document Type: Article
Times cited : (32)

References (34)
  • 1
    • 0000339436 scopus 로고
    • Nonsteady flow of water and oil through inhomogeneous porous media
    • Alt H.W., Di Benedetto E. Nonsteady flow of water and oil through inhomogeneous porous media. Ann. Sc. Norm. Super. Pisa Cl. Sci. 1985, 12(4):335-392.
    • (1985) Ann. Sc. Norm. Super. Pisa Cl. Sci. , vol.12 , Issue.4 , pp. 335-392
    • Alt, H.W.1    Di Benedetto, E.2
  • 2
    • 45849137515 scopus 로고    scopus 로고
    • A new formulation of immiscible compressible two-phase flow in porous media
    • Amaziane B., Jurak M. A new formulation of immiscible compressible two-phase flow in porous media. C. R. Mecanique 2008, 336:600-605.
    • (2008) C. R. Mecanique , vol.336 , pp. 600-605
    • Amaziane, B.1    Jurak, M.2
  • 3
    • 77955050795 scopus 로고    scopus 로고
    • Modeling and numerical simulations of immiscible compressible two-phase flow in porous media by the concept of global pressure
    • Amaziane B., Jurak M., Žgaljić Keko A. Modeling and numerical simulations of immiscible compressible two-phase flow in porous media by the concept of global pressure. Transp. Porous Media 2010, 84(1):133-152.
    • (2010) Transp. Porous Media , vol.84 , Issue.1 , pp. 133-152
    • Amaziane, B.1    Jurak, M.2    Žgaljić Keko, A.3
  • 4
    • 0038959855 scopus 로고    scopus 로고
    • Mathematical analysis for compressible miscible displacement models in porous media
    • Amirat Y., Hamdache K., Ziani A. Mathematical analysis for compressible miscible displacement models in porous media. Math. Models Methods Appl. Sci. 1996, 6(6):729-747.
    • (1996) Math. Models Methods Appl. Sci. , vol.6 , Issue.6 , pp. 729-747
    • Amirat, Y.1    Hamdache, K.2    Ziani, A.3
  • 5
    • 0041797551 scopus 로고
    • Analysis of a one-dimensional model for compressible miscible displacement in porous media
    • Amirat Y., Moussaoui M. Analysis of a one-dimensional model for compressible miscible displacement in porous media. SIAM J. Math. Anal. 1995, 26(3):659-674.
    • (1995) SIAM J. Math. Anal. , vol.26 , Issue.3 , pp. 659-674
    • Amirat, Y.1    Moussaoui, M.2
  • 6
    • 36249008532 scopus 로고    scopus 로고
    • Global weak solutions to equations of compressible miscible flows in porous media
    • Amirat Y., Shelukhin V. Global weak solutions to equations of compressible miscible flows in porous media. SIAM J. Math. Anal. 2007, 38(6):1825-1846.
    • (2007) SIAM J. Math. Anal. , vol.38 , Issue.6 , pp. 1825-1846
    • Amirat, Y.1    Shelukhin, V.2
  • 8
    • 38249010485 scopus 로고
    • The existence of weak solutions to single-porosity and simple dual-porosity models of two-phase incompressible flow
    • Arbogast T. The existence of weak solutions to single-porosity and simple dual-porosity models of two-phase incompressible flow. Nonlinear Anal. 1992, 19(11):1009-1031.
    • (1992) Nonlinear Anal. , vol.19 , Issue.11 , pp. 1009-1031
    • Arbogast, T.1
  • 10
    • 0000960475 scopus 로고
    • A result of existence for a model of two-phase flow in a porous medium made of different rock types
    • Bourgeat A., Hidani A. A result of existence for a model of two-phase flow in a porous medium made of different rock types. Appl. Anal. 1995, 56:381-399.
    • (1995) Appl. Anal. , vol.56 , pp. 381-399
    • Bourgeat, A.1    Hidani, A.2
  • 11
    • 71049115642 scopus 로고    scopus 로고
    • A fully equivalent global pressure formulation for three-phases compressible flows
    • Chavent G. A fully equivalent global pressure formulation for three-phases compressible flows. Appl. Anal. 2009, 88(10-11):1527-1541.
    • (2009) Appl. Anal. , vol.88 , Issue.10-11 , pp. 1527-1541
    • Chavent, G.1
  • 13
    • 0035836868 scopus 로고    scopus 로고
    • Degenerate two-phase incompressible flow I: Existence, uniqueness and regularity of a weak solution
    • Chen Z. Degenerate two-phase incompressible flow I: Existence, uniqueness and regularity of a weak solution. J. Differential Equations 2001, 171(2):203-232.
    • (2001) J. Differential Equations , vol.171 , Issue.2 , pp. 203-232
    • Chen, Z.1
  • 15
    • 35348966286 scopus 로고    scopus 로고
    • On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media
    • Choquet C. On a fully coupled nonlinear parabolic problem modelling miscible compressible displacement in porous media. J. Math. Anal. Appl. 2008, 339(2):1112-1133.
    • (2008) J. Math. Anal. Appl. , vol.339 , Issue.2 , pp. 1112-1133
    • Choquet, C.1
  • 16
    • 33750607406 scopus 로고    scopus 로고
    • Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure
    • Daïm F.Z., Eymard R., Hilhorst D. Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure. J. Math. Anal. Appl. 2007, 326:332-351.
    • (2007) J. Math. Anal. Appl. , vol.326 , pp. 332-351
    • Daïm, F.Z.1    Eymard, R.2    Hilhorst, D.3
  • 17
    • 33845866076 scopus 로고    scopus 로고
    • On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium
    • Fadimba B.K. On existence and uniqueness for a coupled system modeling immiscible flow through a porous medium. J. Math. Anal. Appl. 2007, 328:1034-1056.
    • (2007) J. Math. Anal. Appl. , vol.328 , pp. 1034-1056
    • Fadimba, B.K.1
  • 18
    • 0038959850 scopus 로고
    • Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media
    • Feng X. Strong solutions to a nonlinear parabolic system modeling compressible miscible displacement in porous media. Nonlinear Anal. 1994, 23(12):1515-1531.
    • (1994) Nonlinear Anal. , vol.23 , Issue.12 , pp. 1515-1531
    • Feng, X.1
  • 20
    • 33746502617 scopus 로고    scopus 로고
    • On a degenerate parabolic system for compressible, immiscible, two-phase flows in porous media
    • Galusinski C., Saad M. On a degenerate parabolic system for compressible, immiscible, two-phase flows in porous media. Adv. Differential Equations 2004, 9(11-12):1235-1278.
    • (2004) Adv. Differential Equations , vol.9 , Issue.11-12 , pp. 1235-1278
    • Galusinski, C.1    Saad, M.2
  • 21
    • 40049108051 scopus 로고    scopus 로고
    • A nonlinear degenerate system modelling water-gas flows in porous media
    • Galusinski C., Saad M. A nonlinear degenerate system modelling water-gas flows in porous media. Discrete Contin. Dyn. Syst. Ser. B 2008, 9(2):281-308.
    • (2008) Discrete Contin. Dyn. Syst. Ser. B , vol.9 , Issue.2 , pp. 281-308
    • Galusinski, C.1    Saad, M.2
  • 22
    • 40049101876 scopus 로고    scopus 로고
    • Two compressible immiscible fluids in porous media
    • Galusinski C., Saad M. Two compressible immiscible fluids in porous media. J. Differential Equations 2008, 244(7):1741-1783.
    • (2008) J. Differential Equations , vol.244 , Issue.7 , pp. 1741-1783
    • Galusinski, C.1    Saad, M.2
  • 23
    • 61749097739 scopus 로고    scopus 로고
    • Weak solutions for immiscible compressible multifluid flows in porous media
    • Galusinski C., Saad M. Weak solutions for immiscible compressible multifluid flows in porous media. C. R. Math. Acad. Sci. Paris 2009, 347(5-6):249-254.
    • (2009) C. R. Math. Acad. Sci. Paris , vol.347 , Issue.5-6 , pp. 249-254
    • Galusinski, C.1    Saad, M.2
  • 24
    • 70450069324 scopus 로고    scopus 로고
    • ANDRA
    • ANDRA Couplex-Gaz available online at:. http://www.andra.fr/interne.php3?id_article=916&id_rubrique=129.
    • Couplex-Gaz
  • 25
    • 77956974545 scopus 로고    scopus 로고
    • Solution to a model for compressible immiscible two phase flow in porous media
    • 1-33
    • Khalid Z., Saad M. Solution to a model for compressible immiscible two phase flow in porous media. Electron. J. Differential Equations 2010, 2010:122. 1-33.
    • (2010) Electron. J. Differential Equations , vol.2010 , pp. 122
    • Khalid, Z.1    Saad, M.2
  • 26
    • 0001492349 scopus 로고
    • Flow of oil and water in a porous medium
    • Kröner D., Luckhaus S. Flow of oil and water in a porous medium. J. Differential Equations 1984, 55(2):276-288.
    • (1984) J. Differential Equations , vol.55 , Issue.2 , pp. 276-288
    • Kröner, D.1    Luckhaus, S.2
  • 27
    • 67649262216 scopus 로고    scopus 로고
    • An existence result for the equations describing a gas-liquid two-phase flow
    • Mikelić A. An existence result for the equations describing a gas-liquid two-phase flow. C. R. Mécanique 2009, 337:226-232.
    • (2009) C. R. Mécanique , vol.337 , pp. 226-232
    • Mikelić, A.1
  • 29
    • 34250112428 scopus 로고
    • Compact sets in the space Lp(O,T;B)
    • Simon J. Compact sets in the space Lp(O,T;B). Ann. Mat. Pura Appl. 1987, 146(4):65-96.
    • (1987) Ann. Mat. Pura Appl. , vol.146 , Issue.4 , pp. 65-96
    • Simon, J.1
  • 30
    • 64849112116 scopus 로고    scopus 로고
    • A model of multiphase flow and transport in porous media applied to gas migration in underground nuclear waste repository
    • Smaï F. A model of multiphase flow and transport in porous media applied to gas migration in underground nuclear waste repository. C. R. Math. Acad. Sci. Paris 2009, 347(9-10):527-532.
    • (2009) C. R. Math. Acad. Sci. Paris , vol.347 , Issue.9-10 , pp. 527-532
    • Smaï, F.1
  • 31
    • 71049117775 scopus 로고    scopus 로고
    • Existence of solutions for a model of multiphase flow in porous media applied to gas migration in underground nuclear waste repository
    • Smaï F. Existence of solutions for a model of multiphase flow in porous media applied to gas migration in underground nuclear waste repository. Appl. Anal. 2009, 88(10-11):1609-1616.
    • (2009) Appl. Anal. , vol.88 , Issue.10-11 , pp. 1609-1616
    • Smaï, F.1
  • 32
    • 0036672511 scopus 로고    scopus 로고
    • On two-phase flow in fractured media
    • Yeh L.M. On two-phase flow in fractured media. Math. Models Methods Appl. Sci. 2002, 12(8):1075-1107.
    • (2002) Math. Models Methods Appl. Sci. , vol.12 , Issue.8 , pp. 1075-1107
    • Yeh, L.M.1
  • 33
    • 33746304780 scopus 로고    scopus 로고
    • Hölder continuity for two-phase flows in porous media
    • Yeh L.M. Hölder continuity for two-phase flows in porous media. Math. Methods Appl. Sci. 2006, 29(11):1261-1289.
    • (2006) Math. Methods Appl. Sci. , vol.29 , Issue.11 , pp. 1261-1289
    • Yeh, L.M.1
  • 34
    • 78349307417 scopus 로고    scopus 로고
    • Keko, Modelling, analysis and numerical simulations of immiscible compressible two-phase fluid flow in heterogeneous porous media
    • PhD thesis, University of Zagreb
    • A. Žgaljić Keko, Modelling, analysis and numerical simulations of immiscible compressible two-phase fluid flow in heterogeneous porous media, PhD thesis, University of Zagreb, 2011.
    • (2011)
    • Žgaljić, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.