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Volumn 162, Issue 1-4, 1998, Pages 359-368

Simulation of miscible displacement in porous media by a modified Uzawa's algorithm combined with a characteristic method

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELING; MISCIBLE DISPLACEMENT; OIL INDUSTRY; POROUS MEDIUM;

EID: 0009084688     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00002-4     Document Type: Article
Times cited : (8)

References (16)
  • 3
    • 0002329650 scopus 로고
    • The approximation of the pressure by a mixed method in the simulation of miscible displacement
    • [3] J. Douglas, Jr., R.E. Ewing and M.F. Wheeler, The approximation of the pressure by a mixed method in the simulation of miscible displacement, RAIRO Numer. Anal. 17 (1983) 17-33.
    • (1983) RAIRO Numer. Anal. , vol.17 , pp. 17-33
    • Douglas J., Jr.1    Ewing, R.E.2    Wheeler, M.F.3
  • 4
    • 0001400968 scopus 로고
    • A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media
    • [4] J. Douglas, Jr., R.E. Ewing and M.F. Wheeler, A time-discretization procedure for a mixed finite element approximation of miscible displacement in porous media. RAIRO Numer. Anal. 17 (1983) 249-265.
    • (1983) RAIRO Numer. Anal. , vol.17 , pp. 249-265
    • Douglas J., Jr.1    Ewing, R.E.2    Wheeler, M.F.3
  • 5
    • 0344315183 scopus 로고
    • Simulation of miscible displacement using mixed methods and a modified method of characteristics, SPE 12241
    • San Francisco, November 15-18
    • [5] R.E. Ewing, T.F. Russell and M.F. Wheeler, Simulation of miscible displacement using mixed methods and a modified method of characteristics, SPE 12241, 7th SPE Symposium on Reservoir Simulation, San Francisco, November 15-18, 1983.
    • (1983) 7th SPE Symposium on Reservoir Simulation
    • Ewing, R.E.1    Russell, T.F.2    Wheeler, M.F.3
  • 6
    • 0025538243 scopus 로고
    • Mixed methods with dynamic finite element spaces for miscible displacement in porous media
    • [6] D.Q. Yang, Mixed methods with dynamic finite element spaces for miscible displacement in porous media, J. Comput. Appl. Math. 30 (1990) 313-328.
    • (1990) J. Comput. Appl. Math. , vol.30 , pp. 313-328
    • Yang, D.Q.1
  • 7
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems
    • I. Galligani and E. Magenes, eds., Springer-Verlag, Berlin and New York
    • [7] P.-A. Raviart and J.-M. Thomas, A mixed finite element method for second order elliptic problems, in: I. Galligani and E. Magenes, eds., Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics 606 (Springer-Verlag, Berlin and New York, 1977) 292-315.
    • (1977) Mathematical Aspects of the Finite Element Method, Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, P.-A.1    Thomas, J.-M.2
  • 8
    • 0003079005 scopus 로고
    • Use of renormalization for calculating effective permeability
    • [8] P.R. King, Use of renormalization for calculating effective permeability, Transport in Porous Media 4 (1989) 37-58.
    • (1989) Transport in Porous Media , vol.4 , pp. 37-58
    • King, P.R.1
  • 9
    • 85033142059 scopus 로고    scopus 로고
    • An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media
    • to appear
    • [9] P. Lin and D.Q. Yang, An iterative perturbation method for the pressure equation in the simulation of miscible displacement in porous media, SIAM J. Sci. Comput., to appear.
    • SIAM J. Sci. Comput.
    • Lin, P.1    Yang, D.Q.2
  • 10
    • 0001152556 scopus 로고
    • Discretization and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients
    • [10] P.I. Crumpton, G.J. Shaw and A.F. Ware, Discretization and multigrid solution of elliptic equations with mixed derivative terms and strongly discontinuous coefficients, J. Comput. Phys. 116 (1995) 343-358.
    • (1995) J. Comput. Phys. , vol.116 , pp. 343-358
    • Crumpton, P.I.1    Shaw, G.J.2    Ware, A.F.3
  • 11
    • 0019531042 scopus 로고
    • A finite element method for reservoir simulation
    • Feb.
    • [11] L.C. Young, A finite element method for reservoir simulation, Soc. Pet. Eng. J. (Feb. 1981) 115-128.
    • (1981) Soc. Pet. Eng. J. , pp. 115-128
    • Young, L.C.1
  • 12
    • 0001235787 scopus 로고
    • Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures
    • [12] J. Douglas, Jr. and T.F. Russell, Numerical methods for convection-dominated diffusion problems based on combining the method of characteristics with finite element or finite difference procedures, SIAM J. Numer. Anal. 19 (1982) 871-885.
    • (1982) SIAM J. Numer. Anal. , vol.19 , pp. 871-885
    • Douglas J., Jr.1    Russell, T.F.2
  • 13
    • 84984533751 scopus 로고
    • Finite elements with characteristic finite element method for a miscible displacement problem, SPE 10500
    • Dallas, TX
    • [13] T.F. Russell, Finite elements with characteristic finite element method for a miscible displacement problem, SPE 10500, Proc. 6th SPE Symposium on Reservoir Simulation, Dallas, TX, 1982, pp. 123-135.
    • (1982) Proc. 6th SPE Symposium on Reservoir Simulation , pp. 123-135
    • Russell, T.F.1
  • 14
    • 0000439432 scopus 로고
    • A characteristic mixed finite element method for advection-dominated transport problems
    • [14] T. Arbogast and M.F. Wheeler, A characteristic mixed finite element method for advection-dominated transport problems, SIAM J. Numer. Anal. 32 (1995) 404-424.
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 404-424
    • Arbogast, T.1    Wheeler, M.F.2
  • 15
    • 38249010068 scopus 로고
    • A characteristic mixed method with dynamic finite element space for convection-dominated diffusion problems
    • [15] D.Q. Yang, A characteristic mixed method with dynamic finite element space for convection-dominated diffusion problems, J. Comput. Appl. Math. 43 (1992) 343-353.
    • (1992) J. Comput. Appl. Math. , vol.43 , pp. 343-353
    • Yang, D.Q.1
  • 16
    • 0017505586 scopus 로고
    • Development and application of variational methods for simulation of miscible displacement in porous media
    • June
    • [16] A. Settari, H.S. Price and T. Dupont, Development and application of variational methods for simulation of miscible displacement in porous media, Soc. Pet. Eng. J. (June 1977) 228-246.
    • (1977) Soc. Pet. Eng. J. , pp. 228-246
    • Settari, A.1    Price, H.S.2    Dupont, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.