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Volumn 30, Issue 11, 2007, Pages 2309-2325

Multi-scale modeling of three-phase-three-component processes in heterogeneous porous media

Author keywords

Heterogeneous systems; Multi phase flow; Multi scale modeling; Upscaling

Indexed keywords

ALGORITHMS; COMPUTATIONAL EFFICIENCY; FLOW FIELDS; MULTIPHASE FLOW; TRANSPORT PROPERTIES;

EID: 34548295739     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2007.05.008     Document Type: Article
Times cited : (40)

References (59)
  • 1
    • 0036675664 scopus 로고    scopus 로고
    • Upscaling heterogeneous media by asymptotic expansions
    • Auriault J.L. Upscaling heterogeneous media by asymptotic expansions. J Eng Mech 128 8 (2002) 817-822
    • (2002) J Eng Mech , vol.128 , Issue.8 , pp. 817-822
    • Auriault, J.L.1
  • 3
    • 34548371192 scopus 로고    scopus 로고
    • Bastian P. Higher order discontinuous galerkin methods for flow and transport in porous media. In: Challenges in scientific computing; vol. 35, 2003.
  • 4
    • 0042824223 scopus 로고    scopus 로고
    • Superconvergence and H(div)-projection for discontinuous Galerkin methods
    • Bastian P., and Rivière B. Superconvergence and H(div)-projection for discontinuous Galerkin methods. Int J Numer Meth Fluid 42 10 (2003) 1043-1057
    • (2003) Int J Numer Meth Fluid , vol.42 , Issue.10 , pp. 1043-1057
    • Bastian, P.1    Rivière, B.2
  • 5
    • 0345062335 scopus 로고    scopus 로고
    • A discontinuous Galerkin-finite element method for convection-diffusion problems
    • Baumann C.E., and Oden J.T. A discontinuous Galerkin-finite element method for convection-diffusion problems. Comput Meth Appl Mech Eng 175 (1999) 311-341
    • (1999) Comput Meth Appl Mech Eng , vol.175 , pp. 311-341
    • Baumann, C.E.1    Oden, J.T.2
  • 8
    • 0000626041 scopus 로고
    • Mechanism of fluid displacements in sands
    • Buckley S.E., and Leverett M.C. Mechanism of fluid displacements in sands. Trans AIME 146 (1942) 107-116
    • (1942) Trans AIME , vol.146 , pp. 107-116
    • Buckley, S.E.1    Leverett, M.C.2
  • 9
    • 0141539144 scopus 로고    scopus 로고
    • A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations
    • Chen Y., Durlofsky L.J., Gerritsen M., and Wen X.H. A coupled local-global upscaling approach for simulating flow in highly heterogeneous formations. Adv Water Resour 26 (2003) 1041-1060
    • (2003) Adv Water Resour , vol.26 , pp. 1041-1060
    • Chen, Y.1    Durlofsky, L.J.2    Gerritsen, M.3    Wen, X.H.4
  • 10
    • 0037376524 scopus 로고    scopus 로고
    • A mixed multiscale finite element method for elliptic problems with oscillating coefficients
    • Chen Z., and Hou T.Y. A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math Comput 72 242 (2002) 541-576
    • (2002) Math Comput , vol.72 , Issue.242 , pp. 541-576
    • Chen, Z.1    Hou, T.Y.2
  • 11
    • 34548354414 scopus 로고    scopus 로고
    • Class H. Theorie und numerische Modellierung nichtisothermer Mehrphasenprozesse in NAPL-kontaminierten porösen Medien. Mitteilungsheft, Institut für Wasserbau, Universität Stuttgart; 2001. 3-933761-08-5.
  • 12
    • 0036563508 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal multiphase multicomponent processes in porous media - 1. An efficient solution technique
    • Class H., Helmig R., and Bastian P. Numerical simulation of non-isothermal multiphase multicomponent processes in porous media - 1. An efficient solution technique. Adv Water Resour 25 (2002) 533-550
    • (2002) Adv Water Resour , vol.25 , pp. 533-550
    • Class, H.1    Helmig, R.2    Bastian, P.3
  • 13
    • 0036563434 scopus 로고    scopus 로고
    • Numerical simulation of non-isothermal multiphase multicomponent processes in porous Media - 2. Applications for the injection of steam and air
    • Class H., and Helmig R. Numerical simulation of non-isothermal multiphase multicomponent processes in porous Media - 2. Applications for the injection of steam and air. Adv Water Res 25 (2002) 551-564
    • (2002) Adv Water Res , vol.25 , pp. 551-564
    • Class, H.1    Helmig, R.2
  • 14
    • 84966246413 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework
    • Cockburn B., and Shu C.-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws II: general framework. J Math Comput 52 186 (1989) 411-435
    • (1989) J Math Comput , vol.52 , Issue.186 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.2
  • 15
    • 84966261380 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multi-dimensional case
    • Cockburn B., Hou S., and Shu C.-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multi-dimensional case. J Math Comput 54 (1990) 545-581
    • (1990) J Math Comput , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.-W.3
  • 16
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin Method for conservation laws V: multi-dimensional systems
    • Cockburn B., and Shu C.-W. The Runge-Kutta discontinuous Galerkin Method for conservation laws V: multi-dimensional systems. J Comput Phys 141 (1998) 199-224
    • (1998) J Comput Phys , vol.141 , pp. 199-224
    • Cockburn, B.1    Shu, C.-W.2
  • 17
    • 2442707818 scopus 로고    scopus 로고
    • Analytical solutions of one-dimensional macrodisperion in stratified porous media by the quadrupole method: convergence to an equivalent homogeneous porous medium
    • Didierjean S., Maillet D., and Moyne C. Analytical solutions of one-dimensional macrodisperion in stratified porous media by the quadrupole method: convergence to an equivalent homogeneous porous medium. Adv Water Resour 27 (2004) 657-667
    • (2004) Adv Water Resour , vol.27 , pp. 657-667
    • Didierjean, S.1    Maillet, D.2    Moyne, C.3
  • 18
    • 84944838250 scopus 로고
    • Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media
    • Durlofsky L.J. Numerical calculation of equivalent grid block permeability tensors for heterogeneous porous media. Water Resour Res 27 5 (1991) 699-708
    • (1991) Water Resour Res , vol.27 , Issue.5 , pp. 699-708
    • Durlofsky, L.J.1
  • 19
    • 0032443593 scopus 로고    scopus 로고
    • Coarse-scale models of two-phase flow in heterogeneous reservoirs: volume averaged equations and their relationship to existing upscaling techniques
    • Durlofsky L.J. Coarse-scale models of two-phase flow in heterogeneous reservoirs: volume averaged equations and their relationship to existing upscaling techniques. Comput Geosci 2 (1998) 73-92
    • (1998) Comput Geosci , vol.2 , pp. 73-92
    • Durlofsky, L.J.1
  • 20
    • 7244239706 scopus 로고    scopus 로고
    • Multiscale modeling and computation
    • E W., and Engquist B. Multiscale modeling and computation. Notices AMS 50 9 (2003) 1062-1070
    • (2003) Notices AMS , vol.50 , Issue.9 , pp. 1062-1070
    • Weinan, E.1    Engquist, B.2
  • 21
    • 0037367420 scopus 로고    scopus 로고
    • Heterogeneous multiscale method: a general methodology for multiscale modeling
    • E W., Engquist B., and Huang Z. Heterogeneous multiscale method: a general methodology for multiscale modeling. Phys Rev 67 (2003)
    • (2003) Phys Rev , vol.67
    • Weinan, E.1    Engquist, B.2    Huang, Z.3
  • 22
    • 0036702630 scopus 로고    scopus 로고
    • Numerical modeling of subgrid heterogeneity in two-phase flow simulations
    • Efendiev Y., and Durlofsky L.J. Numerical modeling of subgrid heterogeneity in two-phase flow simulations. Water Resour Res 38 8 (2002)
    • (2002) Water Resour Res , vol.38 , Issue.8
    • Efendiev, Y.1    Durlofsky, L.J.2
  • 23
    • 0033866407 scopus 로고    scopus 로고
    • Modeling of subgrid effects in coarse-scale simulations of transport in heterogeneous porous media
    • Efendiev Y., Durlofsky L.J., and Lee S.H. Modeling of subgrid effects in coarse-scale simulations of transport in heterogeneous porous media. Water Resour Res 36 8 (2000) 2031-2041
    • (2000) Water Resour Res , vol.36 , Issue.8 , pp. 2031-2041
    • Efendiev, Y.1    Durlofsky, L.J.2    Lee, S.H.3
  • 24
    • 34548347530 scopus 로고    scopus 로고
    • Emmert M. Numerische modellierung nichtisothermer Gas-Wasser systeme in porösen Medien. Ph.D thesis, Institute of Hydraulic Engineering, University of Stuttgart; 1996.
  • 25
    • 1242299689 scopus 로고    scopus 로고
    • Modeling sub-grid-block-scale dense non-aqueous phase liquid (DNAPL) pool dissolution using a dual-domain approach
    • Falta R.W. Modeling sub-grid-block-scale dense non-aqueous phase liquid (DNAPL) pool dissolution using a dual-domain approach. Water Resour Res 39 12 (2003)
    • (2003) Water Resour Res , vol.39 , Issue.12
    • Falta, R.W.1
  • 26
    • 84920317620 scopus 로고
    • Numerical modeling of steam injection for the removal of non-aqueous phase liquids from the subsurface. 1. Numerical formulation
    • Falta R.W., Pruess K., Javandel I., and Witherspoon P.A. Numerical modeling of steam injection for the removal of non-aqueous phase liquids from the subsurface. 1. Numerical formulation. Water Resour Res 28 2 (1992) 433-449
    • (1992) Water Resour Res , vol.28 , Issue.2 , pp. 433-449
    • Falta, R.W.1    Pruess, K.2    Javandel, I.3    Witherspoon, P.A.4
  • 27
    • 84945089432 scopus 로고
    • Numerical modeling of steam injection for the removal of non-aqueous phase liquids from the subsurface. 2. Code validation and application
    • Falta R.W., Pruess K., Javandel I., and Witherspoon P.A. Numerical modeling of steam injection for the removal of non-aqueous phase liquids from the subsurface. 2. Code validation and application. Water Resour Res 28 2 (1992) 451-465
    • (1992) Water Resour Res , vol.28 , Issue.2 , pp. 451-465
    • Falta, R.W.1    Pruess, K.2    Javandel, I.3    Witherspoon, P.A.4
  • 29
    • 34548347344 scopus 로고    scopus 로고
    • Forsyth PA. Three-dimensional modeling of steam flush for DNAPL site remediation. Technical report, Department of Computer Science, University of Waterloo; 1993. CS-93-56.
  • 30
    • 33750834689 scopus 로고
    • An iterative technique for compositional reservoir models
    • Fussel D.D., and Yanosik J.L. An iterative technique for compositional reservoir models. SPE J (1978)
    • (1978) SPE J
    • Fussel, D.D.1    Yanosik, J.L.2
  • 31
    • 0018929962 scopus 로고
    • General conservation equations for multi-phase systems: 3. constitutive theory for porous media flow
    • Hassanizadeh S.M., and Gray W.G. General conservation equations for multi-phase systems: 3. constitutive theory for porous media flow. Adv Water Resour 3 (1980) 25-40
    • (1980) Adv Water Resour , vol.3 , pp. 25-40
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 32
    • 0025685840 scopus 로고
    • Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries
    • Hassanizadeh S.M., and Gray W.G. Mechanics and thermodynamics of multiphase flow in porous media including interphase boundaries. Adv Water Resour 13 4 (1990) 169-186
    • (1990) Adv Water Resour , vol.13 , Issue.4 , pp. 169-186
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 33
    • 0027788552 scopus 로고
    • Toward an improved description of the physics of two-phase flow
    • Hassanizadeh S.M., and Gray W.G. Toward an improved description of the physics of two-phase flow. Adv Water Resour 16 1 (1993) 53-67
    • (1993) Adv Water Resour , vol.16 , Issue.1 , pp. 53-67
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 34
    • 0030655518 scopus 로고    scopus 로고
    • Recent advances in theories of two-phase flow in porous media
    • Computational Mechanics Publications
    • Hassanizadeh S.M., and Gray W.G. Recent advances in theories of two-phase flow in porous media. Fluid transport in porous media (1997), Computational Mechanics Publications 105-160
    • (1997) Fluid transport in porous media , pp. 105-160
    • Hassanizadeh, S.M.1    Gray, W.G.2
  • 35
    • 34548342290 scopus 로고    scopus 로고
    • Helmig R. Theorie und Numerik der Mehrphasenströmungen in geklüftet-porösen Medien. Ph.D thesis, Bericht Nr. 34, Institut für Strömungsmechanik und Elektronisches Rechnen im Bauwesen, Universität Hannover, 1993.
  • 37
    • 0001760032 scopus 로고    scopus 로고
    • Heat transport in the unsaturated zone - comparison of experimental results and numerical simulations
    • Helmig R., Class H., F̈rber A., and Emmert M. Heat transport in the unsaturated zone - comparison of experimental results and numerical simulations. J Hydra Res 36 6 (1998) 933-962
    • (1998) J Hydra Res , vol.36 , Issue.6 , pp. 933-962
    • Helmig, R.1    Class, H.2    F̈rber, A.3    Emmert, M.4
  • 38
    • 0031161210 scopus 로고    scopus 로고
    • A multiscale finite element method for elliptic problems in composite materials and porous media
    • Hou T., and Wu X.H. A multiscale finite element method for elliptic problems in composite materials and porous media. J Comput Phys 134 (1997) 167-169
    • (1997) J Comput Phys , vol.134 , pp. 167-169
    • Hou, T.1    Wu, X.H.2
  • 39
    • 34548365867 scopus 로고    scopus 로고
    • Huber RU. Compositional multiphase flow and transport in heterogeneous porous media, report no. 102, Institut für Wasserbau, Universität Stuttgart; 1999.
  • 40
    • 0037408094 scopus 로고    scopus 로고
    • Multi-scale finite-volume method for elliptic problems in subsurface flow simulations
    • Jenny P., Lee S.H., and Tchelepi H. Multi-scale finite-volume method for elliptic problems in subsurface flow simulations. J Comput Phys 187 (2003) 47-67
    • (2003) J Comput Phys , vol.187 , pp. 47-67
    • Jenny, P.1    Lee, S.H.2    Tchelepi, H.3
  • 41
    • 34548366900 scopus 로고    scopus 로고
    • Koch SE. A survey of nested grid techniques and their potential for use within the MASS weather prediction model. NASA Technical Memorandum 87808; 1987.
  • 42
    • 0028667180 scopus 로고
    • Macrodispersion for two-phase, immiscible flow in porous media
    • Langlo P., and Espedal M.S. Macrodispersion for two-phase, immiscible flow in porous media. Adv Water Resour 17 (1994) 297-316
    • (1994) Adv Water Resour , vol.17 , pp. 297-316
    • Langlo, P.1    Espedal, M.S.2
  • 44
    • 34548368956 scopus 로고    scopus 로고
    • Niessner J. Multi-scale modeling of multi-phase-multi-component processes in heterogeneous porous media, Institute of Hydraulic Engineering, Universität Stuttgart; 2006.
  • 45
    • 33750805943 scopus 로고    scopus 로고
    • Multi-scale modeling of two-phase-two-component processes in heterogeneous porous media
    • Niessner J., and Helmig R. Multi-scale modeling of two-phase-two-component processes in heterogeneous porous media. Numer Linear Algebra Appl 13 9 (2006) 699-715
    • (2006) Numer Linear Algebra Appl , vol.13 , Issue.9 , pp. 699-715
    • Niessner, J.1    Helmig, R.2
  • 46
    • 0032209437 scopus 로고    scopus 로고
    • A discontiunous hp finite element method for diffusion problems
    • Oden J.T., Babuška I., and Baumann C.E. A discontiunous hp finite element method for diffusion problems. J Comput Phys 146 (1998) 491-519
    • (1998) J Comput Phys , vol.146 , pp. 491-519
    • Oden, J.T.1    Babuška, I.2    Baumann, C.E.3
  • 47
    • 0023330412 scopus 로고
    • A parametric model for constitutive properties governing multiphase flow in porous Media
    • Parker J.C., Lenhard R.J., and Kuppusami T. A parametric model for constitutive properties governing multiphase flow in porous Media. Water Resour Res 23 4 (1987) 618-624
    • (1987) Water Resour Res , vol.23 , Issue.4 , pp. 618-624
    • Parker, J.C.1    Lenhard, R.J.2    Kuppusami, T.3
  • 49
    • 0024163446 scopus 로고
    • Semi-analytical computation of path lines for finite difference models
    • Pollock D.W. Semi-analytical computation of path lines for finite difference models. Ground Water 26 6 (1988) 743-750
    • (1988) Ground Water , vol.26 , Issue.6 , pp. 743-750
    • Pollock, D.W.1
  • 50
    • 0030186784 scopus 로고    scopus 로고
    • A Fickian diffusion model for the spreading of liquid plumes infiltrating porous media
    • Pruess K. A Fickian diffusion model for the spreading of liquid plumes infiltrating porous media. Trans Porous Med 24 (1996) 1-33
    • (1996) Trans Porous Med , vol.24 , pp. 1-33
    • Pruess, K.1
  • 51
    • 34548338997 scopus 로고    scopus 로고
    • Reed WH, Hill TR. Triangular mesh methods for the neutron transport equation, technical report, Los Alamos Scientific Laboratory Report; 1973.
  • 52
    • 0031260069 scopus 로고    scopus 로고
    • Calculating effective permeability: a review
    • Renard P., and de Marsily G. Calculating effective permeability: a review. Adv Water Resour 20 (1997) 253-278
    • (1997) Adv Water Resour , vol.20 , pp. 253-278
    • Renard, P.1    de Marsily, G.2
  • 53
    • 1542652193 scopus 로고    scopus 로고
    • On the use of block-effective macrodispersion for numerical simulations of transport in heterogeneous formations
    • Rubin Y., Bellin A., and Lawrence A.E. On the use of block-effective macrodispersion for numerical simulations of transport in heterogeneous formations. Water Resour Res 39 9 (2003)
    • (2003) Water Resour Res , vol.39 , Issue.9
    • Rubin, Y.1    Bellin, A.2    Lawrence, A.E.3
  • 54
    • 0002931955 scopus 로고    scopus 로고
    • The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale dependent transport
    • Rubin Y., Sun A., Maxwell R., and Bellin A. The concept of block-effective macrodispersivity and a unified approach for grid-scale- and plume-scale dependent transport. J Fluid Mech 395 (1999) 161-180
    • (1999) J Fluid Mech , vol.395 , pp. 161-180
    • Rubin, Y.1    Sun, A.2    Maxwell, R.3    Bellin, A.4
  • 55
    • 0019057216 scopus 로고
    • A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
    • Van Genuchten M.T. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Am J Soil Sci 44 (1980) 892-898
    • (1980) Am J Soil Sci , vol.44 , pp. 892-898
    • Van Genuchten, M.T.1
  • 56
    • 0030455072 scopus 로고    scopus 로고
    • Upscaling hydraulic conductivities in heterogeneous porous media: an overview
    • Wen X.-H., and Gómez-Hernandéz J.J. Upscaling hydraulic conductivities in heterogeneous porous media: an overview. J Hydrol 183 (1996) 9-32
    • (1996) J Hydrol , vol.183 , pp. 9-32
    • Wen, X.-H.1    Gómez-Hernandéz, J.J.2
  • 57
    • 0032711521 scopus 로고    scopus 로고
    • Wheeler MF, Arbogast T, Bryant S, Eaton J, Lu Q, Peszynska M, et al. A parallel multiblock/multidomain approach to reservoir simulation. In: Fifteenth SPE symposium on reservoir simulation, houston, Texas, Society of Petroleum Engineers; 1999. SPE 51884, p. 51-62.
  • 58
    • 34548350648 scopus 로고    scopus 로고
    • Advanced techniques and algorithms for reservoir simulation IV. Multiblock solvers and preconditioners
    • IMA volumes in mathematics and its applications. Chadam J., Cunningham A., Ewing R.E., Ortoleva M.F., and Wheeler P. (Eds), Springer
    • Yotov I. Advanced techniques and algorithms for reservoir simulation IV. Multiblock solvers and preconditioners. In: Chadam J., Cunningham A., Ewing R.E., Ortoleva M.F., and Wheeler P. (Eds). IMA volumes in mathematics and its applications. Resource recovery, confinement, and remediation of environmental hazards vol. 131 (2002), Springer
    • (2002) Resource recovery, confinement, and remediation of environmental hazards , vol.131
    • Yotov, I.1
  • 59
    • 34548346212 scopus 로고
    • A general compositional approach for reservoir simulation
    • Young L.C., and Stephenson R.E. A general compositional approach for reservoir simulation. SPE J (1983)
    • (1983) SPE J
    • Young, L.C.1    Stephenson, R.E.2


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