메뉴 건너뛰기




Volumn 32, Issue 2, 2009, Pages 268-279

Coupling multiscale finite element method for consolidation analysis of heterogeneous saturated porous media

Author keywords

Consolidation; Ground subsidence; Groundwater; Heterogeneous saturated porous media; Multiscale finite element method

Indexed keywords

BASE FUNCTIONS; COUPLING PROBLEMS; DISPLACEMENT FIELDS; EXTERNAL LOADINGS; FLUID FLOWS; GROUND SUBSIDENCE; HETEROGENEOUS SATURATED POROUS MEDIA; MECHANICAL PARAMETERS; MULTI-SCALE; MULTISCALE FINITE ELEMENT METHOD; NUMERICAL EXPERIMENTS; NUMERICAL PROCEDURES; NUMERICAL RESULTS; PRESSURE FIELDS; SPACE AND TIME; STANDARD FINITE ELEMENTS; TRANSIENT PROBLEMS;

EID: 63549108057     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2008.11.002     Document Type: Article
Times cited : (59)

References (40)
  • 1
    • 0031161210 scopus 로고    scopus 로고
    • A multiscale finite element method for elliptic problems in composite materials and porous media
    • Hou T.Y., and Wu X.H. A multiscale finite element method for elliptic problems in composite materials and porous media. J Comput Phy 134 (1997) 169-189
    • (1997) J Comput Phy , vol.134 , pp. 169-189
    • Hou, T.Y.1    Wu, X.H.2
  • 2
    • 0039982148 scopus 로고    scopus 로고
    • Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients
    • Hou T.Y., Wu X.H., and Cai Z.Q. Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math Comput 68 (1999) 913-943
    • (1999) Math Comput , vol.68 , pp. 913-943
    • Hou, T.Y.1    Wu, X.H.2    Cai, Z.Q.3
  • 4
    • 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 (2003) 541-576
    • (2003) Math Comput , vol.72 , pp. 541-576
    • Chen, Z.1    Hou, T.Y.2
  • 5
    • 0033497752 scopus 로고    scopus 로고
    • Nested griding and streamline-based simulation for fast reservoir performance prediction
    • Gautier Y., Blunt M.J., and Christie M.A. Nested griding and streamline-based simulation for fast reservoir performance prediction. Comput Geosci 3 (1999) 295-320
    • (1999) Comput Geosci , vol.3 , pp. 295-320
    • Gautier, Y.1    Blunt, M.J.2    Christie, M.A.3
  • 6
    • 0031182202 scopus 로고    scopus 로고
    • Scale-up of two-phase flow in heterogeneous porous media
    • Chang Y.C., and Mohanty K.K. Scale-up of two-phase flow in heterogeneous porous media. J. Petro Sci Eng 18 (1997) 21-34
    • (1997) J. Petro Sci Eng , vol.18 , pp. 21-34
    • Chang, Y.C.1    Mohanty, K.K.2
  • 7
    • 25144521909 scopus 로고    scopus 로고
    • Upscaling uncertain permeability using small cell renormalization
    • Hastings J.J., and Muggeridge A.H. Upscaling uncertain permeability using small cell renormalization. Math Geol 33 (2001) 491-505
    • (2001) Math Geol , vol.33 , pp. 491-505
    • Hastings, J.J.1    Muggeridge, A.H.2
  • 8
    • 0028483749 scopus 로고
    • Special finite element methods for a class of second order elliptic problems with rough coefficients
    • Babuska I., Caloz G., and Osborn E. Special finite element methods for a class of second order elliptic problems with rough coefficients. SIAM J Numer Anal 31 (1994) 945-981
    • (1994) SIAM J Numer Anal , vol.31 , pp. 945-981
    • Babuska, I.1    Caloz, G.2    Osborn, E.3
  • 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
    • 2942655408 scopus 로고    scopus 로고
    • Analysis of two-scale finite volume element method for elliptic problem
    • Ginting V.E. Analysis of two-scale finite volume element method for elliptic problem. J Numer Math 12 (2004) 119-141
    • (2004) J Numer Math , vol.12 , pp. 119-141
    • Ginting, V.E.1
  • 11
    • 0037367420 scopus 로고    scopus 로고
    • Heterogeneous multiscale method: a general methodology for multiscale modeling
    • Weinan E., Engquist B., and Huang Z.Y. Heterogeneous multiscale method: a general methodology for multiscale modeling. Phys Rev B 67 (2003) 092101
    • (2003) Phys Rev B , vol.67 , pp. 092101
    • Weinan, E.1    Engquist, B.2    Huang, Z.Y.3
  • 12
    • 0037408094 scopus 로고    scopus 로고
    • Multi-scale finite-volume method for elliptic problems in subsurface flow simulation
    • Jenny P., Lee S.H., and Tchelepi H.A. Multi-scale finite-volume method for elliptic problems in subsurface flow simulation. 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.A.3
  • 13
    • 0036927305 scopus 로고    scopus 로고
    • Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow
    • Arbogast T. Implementation of a locally conservative numerical subgrid upscaling scheme for two-phase Darcy flow. Comput Geosci 6 (2002) 453-481
    • (2002) Comput Geosci , vol.6 , pp. 453-481
    • Arbogast, T.1
  • 14
    • 15744392935 scopus 로고    scopus 로고
    • Adaptive multiscale finite-volume method for multiphase flow and transport in porous media
    • Jenny P., Lee S.H., and Tchelepi H.A. Adaptive multiscale finite-volume method for multiphase flow and transport in porous media. Multiscale Model Simul 3 (2004) 50-64
    • (2004) Multiscale Model Simul , vol.3 , pp. 50-64
    • Jenny, P.1    Lee, S.H.2    Tchelepi, H.A.3
  • 15
    • 13844298952 scopus 로고    scopus 로고
    • Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels
    • Aarnes J.E., Kippe V., and Lie K.A. Mixed multiscale finite elements and streamline methods for reservoir simulation of large geomodels. Adv Water Resour 28 (2005) 257-271
    • (2005) Adv Water Resour , vol.28 , pp. 257-271
    • Aarnes, J.E.1    Kippe, V.2    Lie, K.A.3
  • 16
    • 14644440877 scopus 로고    scopus 로고
    • On the relationship between indicators of geostatistical, flow and transport connectivity
    • Christen K., and Jesus C. On the relationship between indicators of geostatistical, flow and transport connectivity. Adv Water Resour 28 (2005) 405-421
    • (2005) Adv Water Resour , vol.28 , pp. 405-421
    • Christen, K.1    Jesus, C.2
  • 17
    • 34249074153 scopus 로고    scopus 로고
    • A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform grids
    • Aarnes J.E., Stein K., and Lie K.A. A hierarchical multiscale method for two-phase flow based upon mixed finite elements and nonuniform grids. Multiscale Model Simul 5 2 (2006) 337-363
    • (2006) Multiscale Model Simul , vol.5 , Issue.2 , pp. 337-363
    • Aarnes, J.E.1    Stein, K.2    Lie, K.A.3
  • 18
    • 14844291551 scopus 로고    scopus 로고
    • A variational multiscale finite element method for multiphase flow in porous media
    • Ruben J. A variational multiscale finite element method for multiphase flow in porous media. Finite Elements Anal Des 41 (2005) 763-777
    • (2005) Finite Elements Anal Des , vol.41 , pp. 763-777
    • Ruben, J.1
  • 19
    • 15744377637 scopus 로고    scopus 로고
    • Multiscale modelling and computation of fluid flow
    • Hou T.Y. Multiscale modelling and computation of fluid flow. Int J Meth Fluids 47 (2005) 707-719
    • (2005) Int J Meth Fluids , vol.47 , pp. 707-719
    • Hou, T.Y.1
  • 21
    • 23844496838 scopus 로고    scopus 로고
    • Numerical methods for multiscale transport equations and application to two-phase porous media flow
    • Yue X.Y., and Weinan E. Numerical methods for multiscale transport equations and application to two-phase porous media flow. J Comput Phys 210 (2005) 656-675
    • (2005) J Comput Phys , vol.210 , pp. 656-675
    • Yue, X.Y.1    Weinan, E.2
  • 23
    • 33749133602 scopus 로고    scopus 로고
    • A modified multiscale finite element method for well-driven flow problems in heterogeneous porous media
    • He X.G., and Ren L. A modified multiscale finite element method for well-driven flow problems in heterogeneous porous media. J Hydrol 329 (2006) 674-684
    • (2006) J Hydrol , vol.329 , pp. 674-684
    • He, X.G.1    Ren, L.2
  • 24
    • 33646169428 scopus 로고    scopus 로고
    • A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution
    • Nakshatrala K.B., Turner D.Z., Hjelmstad K.D., and Masud A. A stabilized mixed finite element method for Darcy flow based on a multiscale decomposition of the solution. Comput Methods Appl Mech Eng 195 (2006) 4036-4049
    • (2006) Comput Methods Appl Mech Eng , vol.195 , pp. 4036-4049
    • Nakshatrala, K.B.1    Turner, D.Z.2    Hjelmstad, K.D.3    Masud, A.4
  • 25
    • 33748882856 scopus 로고    scopus 로고
    • A stochastic variational multiscale method for diffusion in heterogeneous random media
    • Badrinarayanan V.A., and Nicholas Z. A stochastic variational multiscale method for diffusion in heterogeneous random media. J Comput Phys 218 (2006) 654-676
    • (2006) J Comput Phys , vol.218 , pp. 654-676
    • Badrinarayanan, V.A.1    Nicholas, Z.2
  • 26
    • 33846798058 scopus 로고    scopus 로고
    • A two-scale modelling approach to reaction-diffusion processes in porous materials
    • Meier S.A., Peter M.A., and Bohm M. A two-scale modelling approach to reaction-diffusion processes in porous materials. Comput Mater Sci 39 (2007) 29-34
    • (2007) Comput Mater Sci , vol.39 , pp. 29-34
    • Meier, S.A.1    Peter, M.A.2    Bohm, M.3
  • 27
    • 33751252248 scopus 로고    scopus 로고
    • Accurate multiscale finite element methods for two-phase flow simulations
    • Efendiev Y., Ginting V., Hou T.Y., and Ewing R. Accurate multiscale finite element methods for two-phase flow simulations. J Comput Phys 220 (2006) 155-174
    • (2006) J Comput Phys , vol.220 , pp. 155-174
    • Efendiev, Y.1    Ginting, V.2    Hou, T.Y.3    Ewing, R.4
  • 28
    • 33748582917 scopus 로고    scopus 로고
    • Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media
    • Jenny P., Lee S.H., and Tchelepi H.A. Adaptive fully implicit multi-scale finite-volume method for multi-phase flow and transport in heterogeneous porous media. J Comput Phys 217 (2006) 627-641
    • (2006) J Comput Phys , vol.217 , pp. 627-641
    • Jenny, P.1    Lee, S.H.2    Tchelepi, H.A.3
  • 29
    • 33846534171 scopus 로고    scopus 로고
    • Coupling pore-scale networks to continuum-scale models of porous media
    • Matthew T.B., Karsten E.T., and Martin H. Coupling pore-scale networks to continuum-scale models of porous media. Comput Geosci 33 (2007) 393-410
    • (2007) Comput Geosci , vol.33 , pp. 393-410
    • Matthew, T.B.1    Karsten, E.T.2    Martin, H.3
  • 30
    • 34247117648 scopus 로고    scopus 로고
    • Multiscale finite element methods for porous media flows and their applications
    • Efendiev Y., and Hou T.Y. Multiscale finite element methods for porous media flows and their applications. Appl Numer Math 57 (2007) 577-596
    • (2007) Appl Numer Math , vol.57 , pp. 577-596
    • Efendiev, Y.1    Hou, T.Y.2
  • 31
    • 33646939794 scopus 로고    scopus 로고
    • Multiscale finite-volume method for compressible multiphase flow in porous media
    • Ivan L., and Patrick J. Multiscale finite-volume method for compressible multiphase flow in porous media. J Comput Phys 216 (2006) 616-636
    • (2006) J Comput Phys , vol.216 , pp. 616-636
    • Ivan, L.1    Patrick, J.2
  • 32
    • 33644559401 scopus 로고    scopus 로고
    • Numerical methods for multiscale elliptic problems
    • Ming P.B., and Yue X.Y. Numerical methods for multiscale elliptic problems. J Comput Phys 214 (2006) 412-445
    • (2006) J Comput Phys , vol.214 , pp. 412-445
    • Ming, P.B.1    Yue, X.Y.2
  • 33
    • 33846388935 scopus 로고    scopus 로고
    • An adaptive local-global multiscale finite volume element method for two-phase flow simulations
    • Durlofsky L.J., Efendiev Y., and Ginting V. An adaptive local-global multiscale finite volume element method for two-phase flow simulations. Adv Water Resour 30 (2007) 576-588
    • (2007) Adv Water Resour , vol.30 , pp. 576-588
    • Durlofsky, L.J.1    Efendiev, Y.2    Ginting, V.3
  • 34
    • 40849118043 scopus 로고    scopus 로고
    • Flow based oversampling technique for multiscale finite element methods
    • Chu J., Efendiev Y., Ginting V., and Hou T.Y. Flow based oversampling technique for multiscale finite element methods. Adv Water Resour 31 (2008) 599-608
    • (2008) Adv Water Resour , vol.31 , pp. 599-608
    • Chu, J.1    Efendiev, Y.2    Ginting, V.3    Hou, T.Y.4
  • 35
    • 0000828256 scopus 로고
    • Generalized finite element methods: Their performance and their relation to mixed methods
    • Babuska I., and Osborn E. Generalized finite element methods: Their performance and their relation to mixed methods. SIAM J Numer Anal 20 (1983) 510-536
    • (1983) SIAM J Numer Anal , vol.20 , pp. 510-536
    • Babuska, I.1    Osborn, E.2
  • 36
    • 0020156885 scopus 로고
    • An error analysis for the finite element method applied to convection-diffusion problems
    • Babuska I., and Szymczak W.G. An error analysis for the finite element method applied to convection-diffusion problems. Comput Methods Appl Math Engrg 31 (1982) 19-42
    • (1982) Comput Methods Appl Math Engrg , vol.31 , pp. 19-42
    • Babuska, I.1    Szymczak, W.G.2
  • 37
    • 0037198565 scopus 로고    scopus 로고
    • Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case
    • Fish J., Chen W., and Nagai G. Non-local dispersive model for wave propagation in heterogeneous media: one-dimensional case. Int J Numer Meth Eng 54 (2002) 331-346
    • (2002) Int J Numer Meth Eng , vol.54 , pp. 331-346
    • Fish, J.1    Chen, W.2    Nagai, G.3
  • 38
    • 0035065963 scopus 로고    scopus 로고
    • The multiscale formulation of large eddy simulation: decay of homogeneous turbulence
    • Huges T.J.R., Mazzei L., Oberai A.A., and Wray A. The multiscale formulation of large eddy simulation: decay of homogeneous turbulence. Phys Fluid 13 (2001) 505-512
    • (2001) Phys Fluid , vol.13 , pp. 505-512
    • Huges, T.J.R.1    Mazzei, L.2    Oberai, A.A.3    Wray, A.4
  • 39
    • 13644261985 scopus 로고    scopus 로고
    • Generalized FEM for homogenization problems
    • Multiscale and multiresolution methods, Springer, Berlin
    • Schwab C., and Matache A.M. Generalized FEM for homogenization problems. Multiscale and multiresolution methods. Lecture notes in computational science and engineering vol. 20 (2002), Springer, Berlin 197-238
    • (2002) Lecture notes in computational science and engineering , vol.20 , pp. 197-238
    • Schwab, C.1    Matache, A.M.2
  • 40
    • 33846313966 scopus 로고    scopus 로고
    • Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach
    • Zhang H.W., Zhang S., Bi J.Y., and Schrefler B.A. Thermo-mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach. Int J Numer Meth Eng 69 (2007) 87-113
    • (2007) Int J Numer Meth Eng , vol.69 , pp. 87-113
    • Zhang, H.W.1    Zhang, S.2    Bi, J.Y.3    Schrefler, B.A.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.