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Volumn 6, Issue 3-4, 2002, Pages 433-452

Unstructured, control-volume distributed, full-tensor finite-volume schemes with flow based grids

Author keywords

Control volume; Finite volume; Flow based; Porous media; Unstructured

Indexed keywords

FLUID FLOW; HYDROCARBON RESERVOIR; MATHEMATICAL METHOD; POROUS MEDIUM;

EID: 0036923067     PISSN: 14200597     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1021243231313     Document Type: Article
Times cited : (209)

References (36)
  • 2
    • 0030209898 scopus 로고    scopus 로고
    • Discretization on non-orthogonal, quadrilateral grids for inhomogeneous anisotropic media
    • I. Aavatsmark, T. Barkve, Ø. Bøe and T. Mannseth, Discretization on non-orthogonal, quadrilateral grids for inhomogeneous anisotropic media, J. Comput. Phys. 127 (1996) 2-14.
    • (1996) J. Comput. Phys. , vol.127 , pp. 2-14
    • Aavatsmark, I.1    Barkve, T.2    Bøe, Ø.3    Mannseth, T.4
  • 3
    • 11544279515 scopus 로고    scopus 로고
    • Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Methods
    • I. Aavatsmark, T. Barkve, Ø. Bøe and T. Mannseth, Discretization on unstructured grids for inhomogeneous, anisotropic media. Part I: Methods, SIAM J. Sci. Comput. 19 (1998) 1700-1716.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1700-1716
    • Aavatsmark, I.1    Barkve, T.2    Bøe, Ø.3    Mannseth, T.4
  • 4
    • 11544277985 scopus 로고    scopus 로고
    • Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Results
    • I. Aavatsmark, T. Barkve, Ø. Bøe and T. Mannseth, Discretization on unstructured grids for inhomogeneous, anisotropic media. Part II: Results, SIAM J. Sci. Comput. 19 (1998) 1717-1736.
    • (1998) SIAM J. Sci. Comput. , vol.19 , pp. 1717-1736
    • Aavatsmark, I.1    Barkve, T.2    Bøe, Ø.3    Mannseth, T.4
  • 5
    • 0030680366 scopus 로고    scopus 로고
    • Control-volume discretization methods for 3D quadrilateral grids, in inhomogeneous, anisotropic reservoirs
    • Dallas, TX, USA
    • I. Aavatsmark, T. Barkve and T. Mannseth, Control-volume discretization methods for 3D quadrilateral grids, in inhomogeneous, anisotropic reservoirs, in: SPE Reservoir Simulation Symposium, Dallas, TX, USA, 1997.
    • (1997) SPE Reservoir Simulation Symposium
    • Aavatsmark, I.1    Barkve, T.2    Mannseth, T.3
  • 6
    • 0001045979 scopus 로고
    • A simple scheme for generating general curvilinear grids
    • A.A. Amsden and C.W. Hirt, A simple scheme for generating general curvilinear grids, J. Comput. Phys. 11 (1973) 348-359.
    • (1973) J. Comput. Phys. , vol.11 , pp. 348-359
    • Amsden, A.A.1    Hirt, C.W.2
  • 7
    • 0012298579 scopus 로고
    • Logically rectangular mixed methods for Darcy flow on general geometry, SPE 29099
    • San Antonio, TX, USA, February
    • T. Arbogast, P. Keenan, M.F. Wheeler and I. Yotov, Logically rectangular mixed methods for Darcy flow on general geometry, SPE 29099, in: 13th SPE Reservoir Simulation Symposium, San Antonio, TX, USA, February 1995, pp. 51-59.
    • (1995) 13th SPE Reservoir Simulation Symposium , pp. 51-59
    • Arbogast, T.1    Keenan, P.2    Wheeler, M.F.3    Yotov, I.4
  • 8
    • 0001198473 scopus 로고    scopus 로고
    • Mixed finite elements for elliptic problems with tensor coefficients as cell centered finite differences
    • T. Arbogast, M.F. Wheeler and I. Yotov, Mixed finite elements for elliptic problems with tensor coefficients as cell centered finite differences, SIAM J. Numer. Anal. 34(2) (1997) 828.
    • (1997) SIAM J. Numer. Anal. , vol.34 , Issue.2 , pp. 828
    • Arbogast, T.1    Wheeler, M.F.2    Yotov, I.3
  • 12
    • 84944838250 scopus 로고
    • Numerical calculation of equivalent grid block permeability tensors for heterogeneous media
    • L.J. Durlofsky, Numerical calculation of equivalent grid block permeability tensors for heterogeneous media, Water Resourc. Res. 27(5) (1991) 699-708.
    • (1991) Water Resourc. Res. , vol.27 , Issue.5 , pp. 699-708
    • Durlofsky, L.J.1
  • 13
    • 0000193726 scopus 로고
    • A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media
    • L.J. Durlofsky, A triangle based mixed finite element finite volume technique for modeling two phase flow through porous media, J. Comput. Phys. (1993) 252-266.
    • (1993) J. Comput. Phys. , pp. 252-266
    • Durlofsky, L.J.1
  • 14
    • 0012338528 scopus 로고
    • Symmetric, flux continuous, positive definite approximation of the elliptic full tensor pressure equation in local conservation form
    • San Antonio, TX, USA, February
    • M.G. Edwards, Symmetric, flux continuous, positive definite approximation of the elliptic full tensor pressure equation in local conservation form, in: 13th SPE Reservoir Simulation Symposium, San Antonio, TX, USA, February 1995, pp. 553-562.
    • (1995) 13th SPE Reservoir Simulation Symposium , pp. 553-562
    • Edwards, M.G.1
  • 15
    • 0030135674 scopus 로고    scopus 로고
    • A higher order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium, Comput
    • M.G. Edwards, A higher order Godunov scheme coupled with dynamic local grid refinement for flow in a porous medium, Comput. Methods Appl. Mech. Engrg. 131 (1996) 287-308.
    • (1996) Methods Appl. Mech. Engrg. , vol.131 , pp. 287-308
    • Edwards, M.G.1
  • 16
    • 0030191275 scopus 로고    scopus 로고
    • Elimination of adaptive grid interface errors in the discrete cell centered pressure equation
    • M.G. Edwards, Elimination of adaptive grid interface errors in the discrete cell centered pressure equation, J. Comput. Phys. 126 (1996) 356-372.
    • (1996) J. Comput. Phys. , vol.126 , pp. 356-372
    • Edwards, M.G.1
  • 17
    • 0031965041 scopus 로고    scopus 로고
    • Cross-flow, tensors and finite volume approximation with deferred correction
    • M.G. Edwards, Cross-flow, tensors and finite volume approximation with deferred correction, Comput. Methods Appl. Mech. Engrg. 151 (1998) 143-161.
    • (1998) Comput Methods Appl. Mech. Engrg. , vol.151 , pp. 143-161
    • Edwards, M.G.1
  • 18
    • 0002478314 scopus 로고    scopus 로고
    • M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids
    • M.G. Edwards, M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids, J. Comput. Phys. 160 (2000) 1-28.
    • (2000) J. Comput. Phys. , vol.160 , pp. 1-28
    • Edwards, M.G.1
  • 19
    • 0034455142 scopus 로고    scopus 로고
    • Simulation with a full-tensor coefficient velocity field recovered from a diagonal tensor solution
    • M.G. Edwards, Simulation with a full-tensor coefficient velocity field recovered from a diagonal tensor solution, SPE J. 5 (2000) 387-393.
    • (2000) SPE J. , vol.5 , pp. 387-393
    • Edwards, M.G.1
  • 20
    • 0003324524 scopus 로고    scopus 로고
    • Split full tensor discretization operators for structured and unstructured grids in three dimensions, SPE 66358
    • Houston, TX, 11-14 February
    • M.G. Edwards, Split full tensor discretization operators for structured and unstructured grids in three dimensions, SPE 66358, in: Proc. of SPE Reservoir Simulation Symposium, Houston, TX, 11-14 February 2001.
    • (2001) Proc. of SPE Reservoir Simulation Symposium
    • Edwards, M.G.1
  • 22
    • 0032460761 scopus 로고    scopus 로고
    • Finite volume discretization with imposed flux continuity for the general tensor pressure equation
    • M.G. Edwards and C.F. Rogers, Finite volume discretization with imposed flux continuity for the general tensor pressure equation, Comput. Geosci. 2 (1998) 259-290.
    • (1998) Comput Geosci. , vol.2 , pp. 259-290
    • Edwards, M.G.1    Rogers, C.F.2
  • 23
    • 0025799197 scopus 로고
    • A global optimization approach to grid generation
    • Anaheim, CA, USA, 17-20 February
    • C.L. Farmer, D.E. Heath and R.O. Moody, A global optimization approach to grid generation, in: 11th SPE Reservoir Simulation Symposium, Anaheim, CA, USA, 17-20 February 1991, pp. 341-350.
    • (1991) 11th SPE Reservoir Simulation Symposium , pp. 341-350
    • Farmer, C.L.1    Heath, D.E.2    Moody, R.O.3
  • 24
    • 0025517382 scopus 로고
    • A control-volume finite element method for local mesh refinement in thermal reservoir simulation
    • November
    • P. Forsyth, A control-volume finite element method for local mesh refinement in thermal reservoir simulation, SPERE (November 1990) 561.
    • (1990) SPERE , pp. 561
    • Forsyth, P.1
  • 25
    • 0036360844 scopus 로고    scopus 로고
    • Numerical calculation of equivalent cell permeability tensors for general quadrilateral control volumes
    • C. He, M.G. Edwards and L.J. Durlofsky, Numerical calculation of equivalent cell permeability tensors for general quadrilateral control volumes, Comput. Geosci. 6 (2002) 29-47.
    • (2002) Comput Geosci. , vol.6 , pp. 29-47
    • He, C.1    Edwards, M.G.2    Durlofsky, L.J.3
  • 26
    • 0000536753 scopus 로고    scopus 로고
    • The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
    • J. Hyman, M. Shashkov and S. Steinberg, The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials, J. Comput. Phys. 132 (1997) 130-148.
    • (1997) J. Comput. Phys. , vol.132 , pp. 130-148
    • Hyman, J.1    Shashkov, M.2    Steinberg, S.3
  • 27
    • 85057423452 scopus 로고    scopus 로고
    • Finite difference simulation of geologically complex reservoirs with tensor permeabilities, SPE 38002
    • Dallas, TX, USA
    • S.H. Lee, L.J. Durlofsky, M.F. Lough and W. Chen, Finite difference simulation of geologically complex reservoirs with tensor permeabilities, SPE 38002, in: SPE Reservoir Simulation Symposium, Dallas, TX, USA, 1997.
    • (1997) SPE Reservoir Simulation Symposium
    • Lee, S.H.1    Durlofsky, L.J.2    Lough, M.F.3    Chen, W.4
  • 28
    • 0032760135 scopus 로고    scopus 로고
    • Implementation of a flux continuous finite difference method for stratigraphic hexahedron grids, paper SPE 51901
    • Houston, TX, USA, 14-17 February
    • S.H. Lee, H. Tchelepi and L.J. DeChant, Implementation of a flux continuous finite difference method for stratigraphic hexahedron grids, paper SPE 51901, in: Proc. of SPE Reservoir Simulation Symposium, Houston, TX, USA, 14-17 February, 1999.
    • (1999) Proc. of SPE Reservoir Simulation Symposium
    • Lee, S.H.1    Tchelepi, H.2    DeChant, L.J.3
  • 31
    • 0001175293 scopus 로고
    • A mixed finite element method for second order problems
    • Springer, New York
    • R.A. Raviart and J.M. Thomas, A mixed finite element method for second order problems, in: Lecture Notes in Mathematics, Vol. 606 (Springer, New York, 1977) pp. 292-315.
    • (1977) Lecture Notes in Mathematics , vol.606 , pp. 292-315
    • Raviart, R.A.1    Thomas, J.M.2
  • 32
    • 0002650114 scopus 로고
    • Finite element and finite difference methods for continuous flows, porous media
    • ed. R.E. Ewing, Frontiers in Applied Mathematics (SIAM, Philadelphia, PA) chapter 2
    • T.F. Russel and M.F. Wheeler, Finite element and finite difference methods for continuous flows, porous media, in: Mathematics of Reservoir Simulation, ed. R.E. Ewing, Frontiers in Applied Mathematics (SIAM, Philadelphia, PA, 1983) chapter 2, pp. 35-106.
    • (1983) Mathematics of Reservoir Simulation , pp. 35-106
    • Russel, T.F.1    Wheeler, M.F.2
  • 34
    • 0030683835 scopus 로고    scopus 로고
    • A control volume scheme for flexible grids in reservoir simulation, SPE 37999
    • Symposium, Dallas, TX, USA, 8-11 June
    • S. Verma and K. Aziz, A control volume scheme for flexible grids in reservoir simulation, SPE 37999, in: 14th SPE Reservoir Simulation, Symposium, Dallas, TX, USA, 8-11 June 1997, pp. 215, 227.
    • (1997) 14th SPE Reservoir Simulation , vol.215 , pp. 227
    • Verma, S.1    Aziz, K.2
  • 35


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