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Volumn 41, Issue 7-8, 2005, Pages 763-777

A variational multiscale finite element method for multiphase flow in porous media

Author keywords

Conservation laws; Finite elements; Multiphase flow; Porous media; Shocks; Stabilized methods; Variational multiscale; Waterflood

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; GALERKIN METHODS; MULTIPHASE FLOW; NONLINEAR SYSTEMS; RESERVOIRS (WATER);

EID: 14844291551     PISSN: 0168874X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.finel.2004.10.008     Document Type: Conference Paper
Times cited : (59)

References (20)
  • 2
    • 0003325193 scopus 로고
    • Mathematical models and finite elements for reservoir simulation
    • Elsevier, North-Holland
    • G. Chavent, J. Jaffré, Mathematical Models and Finite Elements for Reservoir Simulation, Studies in Mathematics and its Applications, vol. 17, Elsevier, North-Holland, 1986.
    • (1986) Studies in Mathematics and Its Applications , vol.17
    • Chavent, G.1    Jaffré, J.2
  • 3
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to- Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods
    • T.J.R. Hughes Multiscale phenomena Green's functions, the Dirichlet-to- Neumann formulation, subgrid scale models, bubbles and the origins of stabilized methods Comput. Methods Appl. Mech. Eng. 127 1995 387 401
    • (1995) Comput. Methods Appl. Mech. Eng. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 6
    • 0000199487 scopus 로고    scopus 로고
    • Comparison of some finite element methods for solving the diffusion-convection-reaction equation
    • R. Codina Comparison of some finite element methods for solving the diffusion-convection-reaction equation Comput. Methods Appl. Mech. Eng. 156 1998 185 210
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.156 , pp. 185-210
    • Codina, R.1
  • 7
    • 8744242447 scopus 로고    scopus 로고
    • Multiscale-stabilized finite element methods for miscible and immiscible flow in porous media
    • R. Juanes, and T.W. Patzek Multiscale-stabilized finite element methods for miscible and immiscible flow in porous media J. Hydraul. Res. 42 Sp.Iss. 2004 131 140
    • (2004) J. Hydraul. Res. , vol.42 , pp. 131-140
    • Juanes, R.1    Patzek, T.W.2
  • 8
    • 1142276554 scopus 로고    scopus 로고
    • Multiscale numerical modeling of three-phase flow
    • SPE Annual Technical Conference and Exhibition, Denver, CO SPE 84369 submitted for publication
    • R. Juanes, T.W. Patzek, Multiscale numerical modeling of three-phase flow, in: SPE Annual Technical Conference and Exhibition, Denver, CO, 2003, (SPE 84369) Soc. Petro. Eng. J., (submitted for publication).
    • (2003) Soc. Petro. Eng. J.
    • Juanes, R.1    Patzek, T.W.2
  • 9
    • 17544369416 scopus 로고    scopus 로고
    • Multiscale-stabilized solutions to one-dimensional systems of conservation laws
    • in press
    • R. Juanes, T. W. Patzek, Multiscale-stabilized solutions to one-dimensional systems of conservation laws, Comput. Methods Appl. Mech. Eng. (in press).
    • Comput. Methods Appl. Mech. Eng.
    • Juanes, R.1    Patzek, T.W.2
  • 10
    • 0003227859 scopus 로고
    • Fundamentals of numerical reservoir simulation
    • Elsevier, Amsterdam
    • D.W. Peaceman, Fundamentals of Numerical Reservoir Simulation, Developments in Petroleum Science, vol. 6, Elsevier, Amsterdam, 1977.
    • (1977) Developments in Petroleum Science , vol.6
    • Peaceman, D.W.1
  • 12
    • 0037200448 scopus 로고    scopus 로고
    • Stabilized finite element approximation of transient incompressible flows using orthogonal subscales
    • R. Codina Stabilized finite element approximation of transient incompressible flows using orthogonal subscales Comput. Methods Appl. Mech. Eng. 191 39-40 2002 4295 4321
    • (2002) Comput. Methods Appl. Mech. Eng. , vol.191 , Issue.39-40 , pp. 4295-4321
    • Codina, R.1
  • 13
    • 0032496865 scopus 로고    scopus 로고
    • A study of strain localization in a multiple scale framework - The one-dimensional problem
    • K. Garikipati, and T.J.R. Hughes A study of strain localization in a multiple scale framework - the one-dimensional problem Comput. Methods Appl. Mech. Eng. 159 1998 193 222
    • (1998) Comput. Methods Appl. Mech. Eng. , vol.159 , pp. 193-222
    • Garikipati, K.1    Hughes, T.J.R.2
  • 14
    • 0034226528 scopus 로고    scopus 로고
    • A variational multiscale approach to strain localization - Formulation for multidimensional problems
    • K. Garikipati, and T.J.R. Hughes A variational multiscale approach to strain localization - formulation for multidimensional problems Comput. Methods Appl. Mech. Eng. 188 2000 39 60
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.188 , pp. 39-60
    • Garikipati, K.1    Hughes, T.J.R.2
  • 16
    • 0034234161 scopus 로고    scopus 로고
    • On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
    • R. Codina On stabilized finite element methods for linear systems of convection-diffusion-reaction equations Comput. Methods Appl. Mech. Eng. 188 2000 61 82
    • (2000) Comput. Methods Appl. Mech. Eng. , vol.188 , pp. 61-82
    • Codina, R.1
  • 17
    • 0022807116 scopus 로고
    • A new finite element formulation for computational fluid dynamics: III. the generalized streamline operator for multidimensional advective-diffusive systems
    • T.J.R. Hughes, and M. Mallet A new finite element formulation for computational fluid dynamics III. The generalized streamline operator for multidimensional advective-diffusive systems Comput. Methods Appl. Mech. Eng. 58 1986 305 328
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.58 , pp. 305-328
    • Hughes, T.J.R.1    Mallet, M.2
  • 18
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics: X. the compressible Euler and Navier-Stokes equations
    • F. Shakib, T.J.R. Hughes, and Z. Johan A new finite element formulation for computational fluid dynamics X. The compressible Euler and Navier-Stokes equations Comput. Methods Appl. Mech. Eng. 89 1991 141 219
    • (1991) Comput. Methods Appl. Mech. Eng. , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 19
    • 0022681271 scopus 로고
    • A new finite element formulation for computational fluid dynamics: II. Beyond SUPG
    • T.J.R. Hughes, M. Mallet, and A. Mizukami A new finite element formulation for computational fluid dynamics II. Beyond SUPG Comput. Methods Appl. Mech. Eng. 54 1986 341 355
    • (1986) Comput. Methods Appl. Mech. Eng. , vol.54 , pp. 341-355
    • Hughes, T.J.R.1    Mallet, M.2    Mizukami, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.