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Volumn 5, Issue 2, 2006, Pages 337-363

A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform coarse grids

Author keywords

Multiscale finite element methods; Nonuniform grids; Porous media; Reservoir simulation; Two phase flow

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; FLOW VELOCITY; MECHANICAL PERMEABILITY; POROUS MATERIALS;

EID: 34249074153     PISSN: 15403459     EISSN: 15403467     Source Type: Journal    
DOI: 10.1137/050634566     Document Type: Article
Times cited : (178)

References (27)
  • 2
    • 81255135476 scopus 로고    scopus 로고
    • On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation
    • J. E. AARNES, On the use of a mixed multiscale finite element method for greater flexibility and increased speed or improved accuracy in reservoir simulation, Multiscale Model. Simul., 2 (2004), pp. 421-439.
    • (2004) Multiscale Model. Simul , vol.2 , pp. 421-439
    • AARNES, J.E.1
  • 3
    • 13844298952 scopus 로고    scopus 로고
    • Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels
    • J. E. AARNES, V. KIPPE, AND K.-A. LIE, Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels, Adv. in Water Res., 28 (2005), pp. 257-271.
    • (2005) Adv. in Water Res , vol.28 , pp. 257-271
    • AARNES, J.E.1    KIPPE, V.2    LIE, K.-A.3
  • 4
    • 0031674480 scopus 로고    scopus 로고
    • An operator-based approach to upscaling the pressure equation
    • Computational Methods in Contamination and Remediation of Water Resources, V. Burganos, G. Karatzas, A. Payatakes, C. Brebbia, W. Gray, and G. Pinder, eds, Computational Mechanics Publications, Southampton, UK
    • T. ARBOGAST, S. E. MINKOFF, AND P. T. KEENAN, An operator-based approach to upscaling the pressure equation, in Computational Methods in Water Resources XII, Vol. 1: Computational Methods in Contamination and Remediation of Water Resources, V. Burganos, G. Karatzas, A. Payatakes, C. Brebbia, W. Gray, and G. Pinder, eds., Computational Mechanics Publications, Southampton, UK, 1998, pp. 405-412.
    • (1998) Computational Methods in Water Resources XII , vol.1 , pp. 405-412
    • ARBOGAST, T.1    MINKOFF, S.E.2    KEENAN, P.T.3
  • 5
    • 34547343685 scopus 로고    scopus 로고
    • Subgrid upscaling and mixed multiscale finite elements
    • to appear
    • T. ARBOGAST AND K. J. BOYD, Subgrid upscaling and mixed multiscale finite elements, SIAM J. Numer. Anal., to appear.
    • SIAM J. Numer. Anal
    • ARBOGAST, T.1    BOYD, K.J.2
  • 6
    • 18444389215 scopus 로고    scopus 로고
    • Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems
    • T. ARBOGAST, Analysis of a two-scale, locally conservative subgrid upscaling for elliptic problems, SIAM J. Numer. Anal., 42 (2004), pp. 576-598.
    • (2004) SIAM J. Numer. Anal , vol.42 , pp. 576-598
    • ARBOGAST, T.1
  • 7
    • 0002596717 scopus 로고    scopus 로고
    • Numerical subgrid upscaling of two-phase flow in porous media
    • Numerical Treatment of Multiphase Flows in Porous Media, Z. Chen, R. Ewing, and Z.-C. Shi, eds, Springer-Verlag, Berlin
    • T. ARBOGAST, Numerical subgrid upscaling of two-phase flow in porous media, in Numerical Treatment of Multiphase Flows in Porous Media, Lecture Notes in Phys. 552, Z. Chen, R. Ewing, and Z.-C. Shi, eds., Springer-Verlag, Berlin, 2000, pp. 35-49.
    • (2000) Lecture Notes in Phys , vol.552 , pp. 35-49
    • ARBOGAST, T.1
  • 8
    • 0031143418 scopus 로고    scopus 로고
    • A critical review of the use of pseudorelative permeabilities for upscaling
    • J. W. BARKER AND S. THIBEAU, A critical review of the use of pseudorelative permeabilities for upscaling, SPE Reservoir Eng., 12 (1997), pp. 138-143.
    • (1997) SPE Reservoir Eng , vol.12 , pp. 138-143
    • BARKER, J.W.1    THIBEAU, S.2
  • 10
    • 0037376524 scopus 로고    scopus 로고
    • Z. CHEN AND T. Y. HOU, A mixed multiscale finite element method for elliptic problems with oscillating coefficients, Math. Comp., 72 (2003), pp. 541-576.
    • Z. CHEN AND T. Y. HOU, A mixed multiscale finite element method for elliptic problems with oscillating coefficients, Math. Comp., 72 (2003), pp. 541-576.
  • 11
    • 2942612789 scopus 로고    scopus 로고
    • Tenth SPE comparative solution project: A comparison of upscaling techniques
    • also available online from
    • M. A. CHRISTIE AND M. J. BLUNT, Tenth SPE comparative solution project: A comparison of upscaling techniques, SPE Reservoir Engineering and Evaluation, 4 (2001), pp. 308-317; also available online from http//www.spe.org/csp.
    • (2001) SPE Reservoir Engineering and Evaluation , vol.4 , pp. 308-317
    • CHRISTIE, M.A.1    BLUNT, M.J.2
  • 12
    • 5844349210 scopus 로고    scopus 로고
    • Upscaling for reservoir simulation
    • M. A. CHRISTIE, Upscaling for reservoir simulation, JPT J. Pet. Tech., 48 (1996), pp. 1004-1010.
    • (1996) JPT J. Pet. Tech , vol.48 , pp. 1004-1010
    • CHRISTIE, M.A.1
  • 13
    • 0031260610 scopus 로고    scopus 로고
    • A nonuniform coarsening approach for the scale-up of displacement processes in heterogeneous porous media
    • L. J. DURLOFSKY, R. C. JONES, AND W. J. MILLIKEN, A nonuniform coarsening approach for the scale-up of displacement processes in heterogeneous porous media, Adv. in Water Res., 20 (1997), pp. 335-347.
    • (1997) Adv. in Water Res , vol.20 , pp. 335-347
    • DURLOFSKY, L.J.1    JONES, R.C.2    MILLIKEN, W.J.3
  • 14
    • 84892384299 scopus 로고    scopus 로고
    • Accurate multiscale finite element methods for two-phase flow simulations
    • to appear
    • Y. EFENDIEV, V. GINTING, T. HOU, AND R. EWING, Accurate multiscale finite element methods for two-phase flow simulations, J. Comput. Phys., to appear.
    • J. Comput. Phys
    • EFENDIEV, Y.1    GINTING, V.2    HOU, T.3    EWING, R.4
  • 15
    • 85128805678 scopus 로고    scopus 로고
    • The heterogeneous multiscale methods
    • B. ENGQUIST AND W. E, The heterogeneous multiscale methods, Commun. Math. Sci., 1 (2003), pp. 87-133.
    • (2003) Commun. Math. Sci , vol.1 , pp. 87-133
    • ENGQUIST, B.1    Weinan, E.2
  • 17
    • 85190397104 scopus 로고    scopus 로고
    • T. Y. HOU AND X.-H. WU, A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys., 134 (1997), pp. 169-189.
    • T. Y. HOU AND X.-H. WU, A multiscale finite element method for elliptic problems in composite materials and porous media, J. Comput. Phys., 134 (1997), pp. 169-189.
  • 20
    • 0037408094 scopus 로고    scopus 로고
    • Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
    • P. JENNY, S. H. LEE, AND H. A. TCHELEPI, Multi-scale finite-volume method for elliptic problems in subsurface flow simulation J. Comput. Phys., 187 (2003), pp. 47-67.
    • (2003) J. Comput. Phys , vol.187 , pp. 47-67
    • JENNY, P.1    LEE, S.H.2    TCHELEPI, H.A.3
  • 21
    • 15744392935 scopus 로고    scopus 로고
    • Adaptive multiscale finite-volume method for multiphase flow transport in porous media
    • P. JENNY, S. H. LEE, AND H. A. TCHELEPI, Adaptive multiscale finite-volume method for multiphase flow transport in porous media, Multiscale Model. Simul., 3 (2004), pp. 50-64.
    • (2004) Multiscale Model. Simul , vol.3 , pp. 50-64
    • JENNY, P.1    LEE, S.H.2    TCHELEPI, H.A.3
  • 23
    • 0038136552 scopus 로고    scopus 로고
    • New mixed finite element method on polygonal and polyhedral meshes
    • Y. KUZNETSOV AND S. REPIN, New mixed finite element method on polygonal and polyhedral meshes, Russian J. Numer. Anal. Math. Modelling, 18 (2003), pp. 261-278.
    • (2003) Russian J. Numer. Anal. Math. Modelling , vol.18 , pp. 261-278
    • KUZNETSOV, Y.1    REPIN, S.2
  • 24
    • 22144481628 scopus 로고    scopus 로고
    • The mimetic finite difference method on polygonal meshes for diffusion-type problems
    • Y. KUZNETSOV, K. LIPNIKOV, AND M. SHASHKOV, The mimetic finite difference method on polygonal meshes for diffusion-type problems, Comput. Geosci., 4 (2004), pp. 301-324.
    • (2004) Comput. Geosci , vol.4 , pp. 301-324
    • KUZNETSOV, Y.1    LIPNIKOV, K.2    SHASHKOV, M.3
  • 25
    • 0034190245 scopus 로고    scopus 로고
    • Homogenization via p-FEM for problems with microstructure
    • A.-M. MATACHE AND C. SCHWAB, Homogenization via p-FEM for problems with microstructure, Appl. Numer. Math., 33 (2000), pp. 43-59.
    • (2000) Appl. Numer. Math , vol.33 , pp. 43-59
    • MATACHE, A.-M.1    SCHWAB, C.2
  • 26
    • 0031260069 scopus 로고    scopus 로고
    • Calculating equivalent permeability
    • P. RENARD AND G. DE MARSILY, Calculating equivalent permeability, Adv. in Water Res., 20 (1997), pp. 253-278.
    • (1997) Adv. in Water Res , vol.20 , pp. 253-278
    • RENARD, P.1    DE MARSILY, G.2
  • 27
    • 0030455072 scopus 로고    scopus 로고
    • X.-H. WEN AND J.J. GÓMEZ-HERNÁNDEZ, Upscaling hydraulic conductivities in heterogeneous media: An overview, J. Hydrol., 183 (1996), pp. ix-xxxii.
    • X.-H. WEN AND J.J. GÓMEZ-HERNÁNDEZ, Upscaling hydraulic conductivities in heterogeneous media: An overview, J. Hydrol., 183 (1996), pp. ix-xxxii.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.