메뉴 건너뛰기




Volumn 20, Issue 5-6, 1997, Pages 253-278

Calculating equivalent permeability: A review

Author keywords

Equivalent permeability; Heterogeneous porous medium; Monophasic flow; Upscaling techniques

Indexed keywords

COMPUTATIONAL METHODS; ENERGY DISSIPATION; FLOW OF FLUIDS; MATHEMATICAL MODELS; POROUS MATERIALS;

EID: 0031260069     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/s0309-1708(96)00050-4     Document Type: Review
Times cited : (790)

References (115)
  • 2
    • 0003138099 scopus 로고
    • Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media
    • December
    • Ababou, R., McLaughlin, D., Gelhar, L. W. & Tompson, A. F. B., Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media. Trans. Porous Media, 4(6) (December 1989).
    • (1989) Trans. Porous Media , vol.4 , Issue.6
    • Ababou, R.1    McLaughlin, D.2    Gelhar, L.W.3    Tompson, A.F.B.4
  • 3
    • 21844486331 scopus 로고
    • Effective permeability of log-normal isotropic random media
    • Abramovich, B. & Indelman, P., Effective permeability of log-normal isotropic random media. J. Phys. A: Math. gen., 28 (1995) 693-700.
    • (1995) J. Phys. A: Math. Gen. , vol.28 , pp. 693-700
    • Abramovich, B.1    Indelman, P.2
  • 4
    • 3743052336 scopus 로고
    • Characterization of geological heterogeneity
    • Paris, UNESCO
    • Anderson, M. P., Characterization of geological heterogeneity. In Second George Kovac's Colloquium, Paris, 1995, UNESCO.
    • (1995) Second George Kovac's Colloquium
    • Anderson, M.P.1
  • 5
    • 0028671399 scopus 로고
    • The local change of scale method for modelling flow in natural porous media (1): Numerical tools
    • Anguy, Y., Bernard, D. & Ehrlich, R., The local change of scale method for modelling flow in natural porous media (1): Numerical tools. Adv. Water Res., 17 (1995) 337-351.
    • (1995) Adv. Water Res. , vol.17 , pp. 337-351
    • Anguy, Y.1    Bernard, D.2    Ehrlich, R.3
  • 6
    • 0025808402 scopus 로고
    • Heterogeneous medium. Is an equivalent macroscopic description possible?
    • Auriault, J. L., Heterogeneous medium. Is an equivalent macroscopic description possible? Int. J. Engng Sci. 29(7) (1991) 785-795.
    • (1991) Int. J. Engng Sci. , vol.29 , Issue.7 , pp. 785-795
    • Auriault, J.L.1
  • 7
    • 0025680792 scopus 로고
    • Effects of core-scale heterogeneity on steady state and transient fluid flow in porous media: Numerical analysis
    • May
    • Bachu, S. & Cuthiell, D., Effects of core-scale heterogeneity on steady state and transient fluid flow in porous media: Numerical analysis. Water Resour. Res., 26(5) (May 1990) 863-874.
    • (1990) Water Resour. Res. , vol.26 , Issue.5 , pp. 863-874
    • Bachu, S.1    Cuthiell, D.2
  • 8
    • 0028578351 scopus 로고
    • The universal structure of the groundwater flow equations
    • Beckie, R., Aldama, A. A. & Wood, E. F., The universal structure of the groundwater flow equations. Water Resour. Res., 30(5) (1994) 1407-1419.
    • (1994) Water Resour. Res. , vol.30 , Issue.5 , pp. 1407-1419
    • Beckie, R.1    Aldama, A.A.2    Wood, E.F.3
  • 9
    • 0024770037 scopus 로고
    • Assigning effective values to simulation grid-block parameters for heterogeneous reservoirs
    • Begg, S. H., Carter, R. R. & Dranfield, P., Assigning effective values to simulation grid-block parameters for heterogeneous reservoirs. SPE Reservoir Engineering, 4 (1989) 455-463.
    • (1989) SPE Reservoir Engineering , vol.4 , pp. 455-463
    • Begg, S.H.1    Carter, R.R.2    Dranfield, P.3
  • 10
    • 0021936131 scopus 로고
    • Modelling the effects of shales on reservoir performance: Calculation of effective vertical permeability
    • Society of Petroleum Engineers
    • Begg, S. H. & King, P. R., Modelling the effects of shales on reservoir performance: Calculation of effective vertical permeability. SPE 13529 (1985), Society of Petroleum Engineers.
    • (1985) SPE 13529
    • Begg, S.H.1    King, P.R.2
  • 12
    • 0027371415 scopus 로고
    • Percolation theory and its application to groundwater hydrology
    • Berkowitz, B. & Balberg, I., Percolation theory and its application to groundwater hydrology. Water Resour. Res., 29(4) (1993) 115-194.
    • (1993) Water Resour. Res. , vol.29 , Issue.4 , pp. 115-194
    • Berkowitz, B.1    Balberg, I.2
  • 13
    • 0027948903 scopus 로고
    • Analysis of an upscaling method based on conservation of dissipation
    • Bøe, Ø., Analysis of an upscaling method based on conservation of dissipation. Trans. Porous Media., 17 (1994) 77-86.
    • (1994) Trans. Porous Media , vol.17 , pp. 77-86
    • Bøe, Ø.1
  • 14
    • 0005423708 scopus 로고
    • Eléments de comparaison entre la méthode d'homogénéisation et la méthode de prise de moyenne avec fermeture
    • series II
    • Bourgeat, A., Quintard, M. & Whitaker, S., Eléments de comparaison entre la méthode d'homogénéisation et la méthode de prise de moyenne avec fermeture. C. R. Acad. Sci. Paris, 306, series II (1988) 463-466.
    • (1988) C. R. Acad. Sci. Paris , vol.306 , pp. 463-466
    • Bourgeat, A.1    Quintard, M.2    Whitaker, S.3
  • 15
    • 84928992906 scopus 로고
    • Effective model of two-phase flow in a porous medium made of different rock types
    • Bourgeat, A. & Hidani, A. Effective model of two-phase flow in a porous medium made of different rock types. Applicable Analysis, 58 (1995) 1-29.
    • (1995) Applicable Analysis , vol.58 , pp. 1-29
    • Bourgeat, A.1    Hidani, A.2
  • 17
    • 0022463390 scopus 로고
    • A general closure scheme for the method of volume averaging
    • Crapiste, G., Rotstein, H. & Whitaker, S. A general closure scheme for the method of volume averaging. Chem. Engng Sci., 41 (1986) 227-235.
    • (1986) Chem. Engng Sci. , vol.41 , pp. 227-235
    • Crapiste, G.1    Rotstein, H.2    Whitaker, S.3
  • 18
    • 0018654947 scopus 로고
    • Models of groundwater flow in statistically homogeneous porous formations
    • Dagan, G., Models of groundwater flow in statistically homogeneous porous formations. Water Resour. Res., 15(1) (1979) 47-63.
    • (1979) Water Resour. Res. , vol.15 , Issue.1 , pp. 47-63
    • Dagan, G.1
  • 20
    • 0027830267 scopus 로고
    • High-order correction of effective permeability of heterogeneous isotropic formations of log-normal conductivity distribution
    • Dagan, G., High-order correction of effective permeability of heterogeneous isotropic formations of log-normal conductivity distribution. Trans. Porous Media, 12 (1993) 279-290.
    • (1993) Trans. Porous Media , vol.12 , pp. 279-290
    • Dagan, G.1
  • 21
    • 0001562666 scopus 로고
    • La percolation: Un concept unificateur
    • de Gennes, P. G., La percolation: un concept unificateur. La Recherche, 7 (1976) 919.
    • (1976) La Recherche , vol.7 , pp. 919
    • De Gennes, P.G.1
  • 22
    • 0027705221 scopus 로고
    • Quelques méthodes d'approche de la variabilité spatiale des reservoirs souterrains
    • de Marsily, G., Quelques méthodes d'approche de la variabilité spatiale des reservoirs souterrains. Hydrogéologie, 4 (1993) 259-268.
    • (1993) Hydrogéologie , vol.4 , pp. 259-268
    • De Marsily, G.1
  • 23
    • 0028669303 scopus 로고
    • Quelques réflexions sur l'utilisation des modèles en hydrologie
    • de Marsily, G., Quelques réflexions sur l'utilisation des modèles en hydrologie. Revue des Sciences de l'Eau, 7 (1994) 219-234.
    • (1994) Revue des Sciences de l'Eau , vol.7 , pp. 219-234
    • De Marsily, G.1
  • 24
    • 0029414267 scopus 로고
    • Correlation structure dependence of the effective permeability of heterogeneous porous media
    • de Wit, A., Correlation structure dependence of the effective permeability of heterogeneous porous media. Submitted to Phys. Fluids (1995).
    • (1995) Phys. Fluids
    • De Wit, A.1
  • 25
    • 0023523709 scopus 로고
    • Numerical estimation of effective permeability in sand-shale formations
    • Desbarats, A. J., Numerical estimation of effective permeability in sand-shale formations. Water Resour. Res., 23(2) (1987) 273-286.
    • (1987) Water Resour. Res. , vol.23 , Issue.2 , pp. 273-286
    • Desbarats, A.J.1
  • 26
    • 0026496791 scopus 로고
    • Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media
    • Desbarats, A. J., Spatial averaging of hydraulic conductivity in three-dimensional heterogeneous porous media. Math. Geol. 24(3) (1992) 249-267.
    • (1992) Math. Geol. , vol.24 , Issue.3 , pp. 249-267
    • Desbarats, A.J.1
  • 27
    • 0024735589 scopus 로고
    • Calculating effective absolute permeability in sandstone/shale sequences
    • Deutsch, C. V., Calculating effective absolute permeability in sandstone/shale sequences. SPE Form. Eval., 4(3) (1989) 343-348.
    • (1989) SPE Form. Eval. , vol.4 , Issue.3 , pp. 343-348
    • Deutsch, C.V.1
  • 29
    • 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 (1991) 699-708.
    • (1991) Water Resour. Res. , vol.27 , pp. 699-708
    • Durlofsky, L.J.1
  • 30
    • 0027094714 scopus 로고
    • Representation of grid block permeability in course scale models of randomly heterogeneous porous media
    • Durlofsky, L. J., Representation of grid block permeability in course scale models of randomly heterogeneous porous media. Water Resour. Res., 28(7) (1992) 1791-1800.
    • (1992) Water Resour. Res. , vol.28 , Issue.7 , pp. 1791-1800
    • Durlofsky, L.J.1
  • 31
    • 0028562727 scopus 로고
    • Accuracy of mixed and control volume finite element approximations to Darcy velocity and related quantities
    • Durlofsky, L. J., Accuracy of mixed and control volume finite element approximations to Darcy velocity and related quantities. Water Resour. Res., 30(4) (1994) 965-973.
    • (1994) Water Resour. Res. , vol.30 , Issue.4 , pp. 965-973
    • Durlofsky, L.J.1
  • 33
    • 0026473964 scopus 로고
    • Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach 1. Method
    • Dykaar, B. B. & Kitanidis, P. K., Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach 1. Method. Water Resour. Res., 28(4) (1992a) 1155-1166.
    • (1992) Water Resour. Res. , vol.28 , Issue.4 , pp. 1155-1166
    • Dykaar, B.B.1    Kitanidis, P.K.2
  • 34
    • 0026467720 scopus 로고
    • Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach 2. Results
    • Dykaar, B. B. & Kitanidis, P. K., Determination of the effective hydraulic conductivity for heterogeneous porous media using a numerical spectral approach 2. Results. Water Resour. Res., 28(4) (1992b) 1167-1178.
    • (1992) Water Resour. Res. , vol.28 , Issue.4 , pp. 1167-1178
    • Dykaar, B.B.1    Kitanidis, P.K.2
  • 35
    • 0026055614 scopus 로고
    • Estimations du tenseur de perméabilitié
    • series II
    • Ene, H. I., Estimations du tenseur de perméabilitié. C. R. Acad. Sci. Paris, 312, series II (1991) 1269-1272.
    • (1991) C. R. Acad. Sci. Paris , vol.312 , pp. 1269-1272
    • Ene, H.I.1
  • 38
    • 0027007534 scopus 로고
    • A review of current trends in petroleum reservoir description and assessment of the impacts on oil recovery
    • Fayers, F. J. & Hewett, T. A., A review of current trends in petroleum reservoir description and assessment of the impacts on oil recovery. Adv. Water Resour., 15 (1992) 341-365.
    • (1992) Adv. Water Resour. , vol.15 , pp. 341-365
    • Fayers, F.J.1    Hewett, T.A.2
  • 39
    • 0027838674 scopus 로고
    • Statistics of block conductivity through a simple bounded stochastic medium
    • Fenton, G. A. & Griffiths, D. V., Statistics of block conductivity through a simple bounded stochastic medium. Water Resour. Res., 29(6) (1993) 1825-1830.
    • (1993) Water Resour. Res. , vol.29 , Issue.6 , pp. 1825-1830
    • Fenton, G.A.1    Griffiths, D.V.2
  • 41
    • 0346333573 scopus 로고
    • An automatic grid generation and adjustment method for modeling reservoir heterogeneities
    • Tech. rep.
    • Garcia, M. H., Journel, A. G. & Aziz, K., An automatic grid generation and adjustment method for modeling reservoir heterogeneities. Tech. rep., Stanford Center for Reservoir Forecasting Report 3, 1990.
    • (1990) Stanford Center for Reservoir Forecasting Report , vol.3
    • Garcia, M.H.1    Journel, A.G.2    Aziz, K.3
  • 44
    • 0020971569 scopus 로고
    • Three-dimensional stochastic analysis of macrodispersion in aquifers
    • Gelhar, L. W. & Axness, C. L., Three-dimensional stochastic analysis of macrodispersion in aquifers. Water Resour. Res., 19(1) (1983) 161-180.
    • (1983) Water Resour. Res. , vol.19 , Issue.1 , pp. 161-180
    • Gelhar, L.W.1    Axness, C.L.2
  • 46
    • 0344824184 scopus 로고
    • Stochastic characterization of grid-block permeabilities: From point values to block tensors
    • Paris, eds. D. Guèrillot and O. Guillon. Édition Technip
    • Gómez-Hernández, J. J. & Journel, A. G., Stochastic characterization of grid-block permeabilities: from point values to block tensors. In 2nd European Conference on the Mathematics of Oil Recovery, Paris, 1990, eds. D. Guèrillot and O. Guillon. Édition Technip, pp. 83-90.
    • (1990) 2nd European Conference on the Mathematics of Oil Recovery , pp. 83-90
    • Gómez-Hernández, J.J.1    Journel, A.G.2
  • 47
    • 0025199301 scopus 로고
    • An integrated model for computer aided reservoir description: From outcrop study to fluid flow simulations
    • Guèrillot, D., Rudkiewicz, J. L., Ravenne, C., Renard, G. & Galli, A., An integrated model for computer aided reservoir description: from outcrop study to fluid flow simulations. Revue de l'IFP, 45(1) (1990).
    • (1990) Revue de l'IFP , vol.45 , Issue.1
    • Guèrillot, D.1    Rudkiewicz, J.L.2    Ravenne, C.3    Renard, G.4    Galli, A.5
  • 48
    • 0018029075 scopus 로고
    • Stochastic analysis of spatial variability in suvsurface flows 2: Evaluation and application
    • Gutjahr, A. L., Gelhar, L. W., Bakr, A. A. & McMillan, J. R., Stochastic analysis of spatial variability in suvsurface flows 2: Evaluation and application. Water Resour. Res., 14(5) (1978) 953-959.
    • (1978) Water Resour. Res. , vol.14 , Issue.5 , pp. 953-959
    • Gutjahr, A.L.1    Gelhar, L.W.2    Bakr, A.A.3    McMillan, J.R.4
  • 49
    • 0021420270 scopus 로고
    • Application de la percolation à la physique des milieux poreux
    • Guyon, E., Hulin, J.-P. & Lenormand, R., Application de la percolation à la physique des milieux poreux. Annales des Mines, 5-6 (1984) 17-40.
    • (1984) Annales des Mines , vol.5-6 , pp. 17-40
    • Guyon, E.1    Hulin, J.-P.2    Lenormand, R.3
  • 52
    • 0020252389 scopus 로고
    • A new approach to shale management in field scale simulation models
    • Society of Petroleum Engineers
    • Haldorsen, M. H. & Lake, L. W., A new approach to shale management in field scale simulation models. SPE 10976 (1982) Society of Petroleum Engineers.
    • (1982) SPE 10976
    • Haldorsen, M.H.1    Lake, L.W.2
  • 53
    • 0029413203 scopus 로고
    • Mapping hydraulic conductivity: Sequential conditioning with measurements of solute arrival time, hydraulic head, and local conductivity
    • Harvey, C. & Gorelick, S. M., Mapping hydraulic conductivity: Sequential conditioning with measurements of solute arrival time, hydraulic head, and local conductivity. Water Resour. Res., 31(7) (1995) 1615-1626.
    • (1995) Water Resour. Res. , vol.31 , Issue.7 , pp. 1615-1626
    • Harvey, C.1    Gorelick, S.M.2
  • 54
    • 0020816026 scopus 로고
    • Analysis of composite materials
    • Hashin, Z., Analysis of composite materials. J. Appl. Mech. 50 (1983) 481-505.
    • (1983) J. Appl. Mech. , vol.50 , pp. 481-505
    • Hashin, Z.1
  • 55
    • 0001241745 scopus 로고
    • Conductivity of polycristals
    • Hashin, Z. & Shtrikman, S., Conductivity of polycristals. Phys. Rev. 120 (1963) 129.
    • (1963) Phys. Rev. , vol.120 , pp. 129
    • Hashin, Z.1    Shtrikman, S.2
  • 57
    • 0026869955 scopus 로고
    • A tensor estimator for the homogenization of absolute permeability
    • May
    • Holden, L. & Lia, O., A tensor estimator for the homogenization of absolute permeability. Trans. Porous Media, 8(1) (May 1992) 37-46.
    • (1992) Trans. Porous Media , vol.8 , Issue.1 , pp. 37-46
    • Holden, L.1    Lia, O.2
  • 58
    • 0028667817 scopus 로고
    • A higher-order approximation to effective conductivity in media of anisotropic random structure
    • Indelman, P. & Abramovich, B., A higher-order approximation to effective conductivity in media of anisotropic random structure. Water Resour. Res., 30(6) (1994) 1857-1864.
    • (1994) Water Resour. Res. , vol.30 , Issue.6 , pp. 1857-1864
    • Indelman, P.1    Abramovich, B.2
  • 59
    • 0027788793 scopus 로고
    • Upscaling of heterogeneous formations: General approach and application to isotropic media
    • August
    • Indelman, P. & Dagan, G., Upscaling of heterogeneous formations: General approach and application to isotropic media. Trans. Porous Media, 12(2) (August 1993) 61-183.
    • (1993) Trans. Porous Media , vol.12 , Issue.2 , pp. 61-183
    • Indelman, P.1    Dagan, G.2
  • 60
    • 0022562284 scopus 로고
    • Power averaging for block effective permeability
    • Society of Petroleum Engineers
    • Journel, A. G., Deutsch, C. V. & Desbarats, A. J., Power averaging for block effective permeability. SPE 15128 (1986) Society of Petroleum Engineers.
    • (1986) SPE 15128
    • Journel, A.G.1    Deutsch, C.V.2    Desbarats, A.J.3
  • 62
    • 0000619928 scopus 로고
    • Scaling laws for Ising models near
    • c. Physics, 2 (1966) 263-272.
    • (1966) c. Physics , vol.2 , pp. 263-272
    • Kadanoff, L.1
  • 63
    • 6044248144 scopus 로고
    • An analytical method to calculate the effective permeability tensor of a grid block and its application in an outcrop study
    • Feb
    • Kasap, E. & Lake, L. W., An analytical method to calculate the effective permeability tensor of a grid block and its application in an outcrop study. SPE Symp. on Reservoir Simulation, Houston SPE 18434 (Feb 1989).
    • (1989) SPE Symp. on Reservoir Simulation, Houston SPE 18434
    • Kasap, E.1    Lake, L.W.2
  • 64
    • 1342339620 scopus 로고
    • The use of field theoretic methods for the study of flow in heterogeneous porous medium
    • King, P. R., The use of field theoretic methods for the study of flow in heterogeneous porous medium. J. Phys. A: Math. Gen., 20 (1987) 3935-3947.
    • (1987) J. Phys. A: Math. Gen. , vol.20 , pp. 3935-3947
    • King, P.R.1
  • 65
    • 0003079005 scopus 로고
    • The use of renormalization for calculating effective permeability
    • King, P. R., The use of renormalization for calculating effective permeability. Trans. Porous Media, 4 (1989) 37-58.
    • (1989) Trans. Porous Media , vol.4 , pp. 37-58
    • King, P.R.1
  • 66
    • 0025662524 scopus 로고
    • Effective hydraulic conductivity for gradually varying flow
    • June
    • Kitanidis, P. K., Effective hydraulic conductivity for gradually varying flow. Water Resour. Res. 26(1) (June 1990) 1197-1208.
    • (1990) Water Resour. Res. , vol.26 , Issue.1 , pp. 1197-1208
    • Kitanidis, P.K.1
  • 67
    • 0347197460 scopus 로고
    • Groundwater flow in heterogeneous formations
    • Paris, UNESCO
    • Kitanidis, P. K., Groundwater flow in heterogeneous formations. In Second George Kovac's Colloquium, Paris, 1995, UNESCO.
    • (1995) Second George Kovac's Colloquium
    • Kitanidis, P.K.1
  • 68
    • 0027060359 scopus 로고
    • Paleoclimatic signature in terrestial flood deposits
    • Kolterman, C. E. & Gorelick, S. M., Paleoclimatic signature in terrestial flood deposits. Science, 256 (1992) 1775-1782.
    • (1992) Science , vol.256 , pp. 1775-1782
    • Kolterman, C.E.1    Gorelick, M.S.2
  • 71
    • 0029413021 scopus 로고
    • Calculation of internodal transmissibilities in finite difference models of flow in heterogeneous media
    • Kruel-Romeu, R. & Noetinge, B., Calculation of internodal transmissibilities in finite difference models of flow in heterogeneous media. Water Resour. Res., 31(4) (1995) 943-959.
    • (1995) Water Resour. Res. , vol.31 , Issue.4 , pp. 943-959
    • Kruel-Romeu, R.1    Noetinge, B.2
  • 76
    • 0020332119 scopus 로고
    • Porous media equivalents for networks of discontinuous fractures
    • Long, J. C., Remer, J. S., Wilson, C. R. & Whiterspoon, P. A., Porous media equivalents for networks of discontinuous fractures. Water Resour. Res., 18(3) (1982) 645-658.
    • (1982) Water Resour. Res. , vol.18 , Issue.3 , pp. 645-658
    • Long, J.C.1    Remer, J.S.2    Wilson, C.R.3    Whiterspoon, P.A.4
  • 77
    • 0006426537 scopus 로고
    • Boundary effects in the successive upscaling of absolute permeability
    • Stanford Center for Reservoir Forecasting, May
    • Malick, K. M. & Hewett, T. A., Boundary effects in the successive upscaling of absolute permeability. Tech. Rep. 8th Annual Meeting, Stanford Center for Reservoir Forecasting, May 1995.
    • (1995) Tech. Rep. 8th Annual Meeting
    • Malick, K.M.1    Hewett, T.A.2
  • 78
    • 0345936150 scopus 로고
    • An integrated approach to the modeling of permeability barrier distribution in a sedimentologically complex reservoir
    • Houston, Texas, September Soc. of Pet. Eng.
    • Martin, J. H. & Cooper, J. A., An integrated approach to the modeling of permeability barrier distribution in a sedimentologically complex reservoir. In 59th Annual Technical Conference, Houston, Texas, September 1984, Soc. of Pet. Eng.
    • (1984) 59th Annual Technical Conference
    • Martin, J.H.1    Cooper, J.A.2
  • 80
    • 0042046856 scopus 로고
    • Composition des perméabilités en milieu poreux hétérogène: Critique de la règle de pondération géométrique
    • February
    • Matheron, G., Composition des perméabilités en milieu poreux hétérogène: Critique de la règle de pondération géométrique. Revue de l'IFP, 23 (February 1968) 201-218.
    • (1968) Revue de l'IFP , vol.23 , pp. 201-218
    • Matheron, G.1
  • 81
    • 10344246014 scopus 로고
    • Quelques inégalités pour la perméabilité effective d'un milieu poreux hétérogène
    • Paris School of Mines, May
    • Matheron, G., Quelques inégalités pour la perméabilité effective d'un milieu poreux hétérogène. In Cahiers de Géostatistique, Fascicule 3. Paris School of Mines, 25-26 May, 1993.
    • (1993) Cahiers de Géostatistique, Fascicule , vol.3 , pp. 25-26
    • Matheron, G.1
  • 83
    • 0001003146 scopus 로고
    • Mechanics of heterogeneous porous media with several spatial scales
    • Mei, C. C. & Auriault, J.-L., Mechanics of heterogeneous porous media with several spatial scales. Proc. R. Soc. Lond. A, 246 (1989) 391-423.
    • (1989) Proc. R. Soc. Lond. A , vol.246 , pp. 391-423
    • Mei, C.C.1    Auriault, J.-L.2
  • 84
    • 0028175645 scopus 로고
    • Generalized scaling of permeabilities: Validation and effect of support scale
    • March
    • Neuman, S. P., Generalized scaling of permeabilities: validation and effect of support scale. Geophys. Res. Lett., 21(5) (March 1994) 349-352.
    • (1994) Geophys. Res. Lett. , vol.21 , Issue.5 , pp. 349-352
    • Neuman, S.P.1
  • 85
    • 0027505187 scopus 로고
    • Prediction of steady state flow in nonuniform geologic media by conditional moments: Exact nonlocal formalism, effective conductivities and weak approximation
    • Neuman, S. P. & Orr, S., Prediction of steady state flow in nonuniform geologic media by conditional moments: exact nonlocal formalism, effective conductivities and weak approximation. Water Resour. Res., 29(2) (1993) 341-364.
    • (1993) Water Resour. Res. , vol.29 , Issue.2 , pp. 341-364
    • Neuman, S.P.1    Orr, S.2
  • 87
    • 0028468690 scopus 로고
    • Expression en termes d'énergie pour la perméabilité absolue effective
    • Njifenjou, A., Expression en termes d'énergie pour la perméabilité absolue effective. Revue de l'IFP, 49(4) (1994) 345-358.
    • (1994) Revue de l'IFP , vol.49 , Issue.4 , pp. 345-358
    • Njifenjou, A.1
  • 88
    • 0028668982 scopus 로고
    • The effective permeability of a heterogeneous porous medium
    • Nœtinger, B., The effective permeability of a heterogeneous porous medium. Trans. Porous Media, 15 (1994) 99-127.
    • (1994) Trans. Porous Media , vol.15 , pp. 99-127
    • Nœtinger, B.1
  • 89
    • 0025904095 scopus 로고
    • Experimental tests of a simple permeability composition
    • Nœtinger, B. & Jacquin, C., Experimental tests of a simple permeability composition. SPE 22841 (1991) 253-260.
    • (1991) SPE 22841 , pp. 253-260
    • Nœtinger, B.1    Jacquin, C.2
  • 90
    • 0025756268 scopus 로고
    • The geological modeling of effective permeability in complex heterolitic facies
    • Norris, R. J. & Lewis, J. J. M., The geological modeling of effective permeability in complex heterolitic facies. SPE 22692 (1991), 359-374.
    • (1991) SPE 22692 , pp. 359-374
    • Norris, R.J.1    Lewis, J.J.M.2
  • 91
    • 0028325611 scopus 로고
    • Permeability tensors for sedimentary structures
    • Pickup, G., Ringrose, P. S. & K. S. Sorbie, J. L. J., Permeability tensors for sedimentary structures. Math. Geol., 26(2) (1994) 227-250.
    • (1994) Math. Geol. , vol.26 , Issue.2 , pp. 227-250
    • Pickup, G.1    Ringrose, P.S.2    Sorbie, K.S.3
  • 93
    • 0024192451 scopus 로고
    • Effective permeability and dispersion in locally heterogeneous aquifers
    • November
    • Poley, A. D., Effective permeability and dispersion in locally heterogeneous aquifers. Water Resour. Res., 24(11) (November 1988) 1921-1926.
    • (1988) Water Resour. Res. , vol.24 , Issue.11 , pp. 1921-1926
    • Poley, A.D.1
  • 94
    • 0023537613 scopus 로고
    • Ecoulement monophasique en milieu poreux: Effets des hétérogénéités locales
    • Quintard, M. & Whitaker, S., Ecoulement monophasique en milieu poreux: effets des hétérogénéités locales. J. Mec. Theor. Appl., 6(5) (1987) 691-726.
    • (1987) J. Mec. Theor. Appl. , vol.6 , Issue.5 , pp. 691-726
    • Quintard, M.1    Whitaker, S.2
  • 95
    • 0028669433 scopus 로고
    • Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media
    • Quintard, M. & Whitaker, S., Convection, dispersion, and interfacial transport of contaminants: Homogeneous porous media. Adv. Water Res., 17 (1994) 221-239.
    • (1994) Adv. Water Res. , vol.17 , pp. 221-239
    • Quintard, M.1    Whitaker, S.2
  • 96
    • 0029413406 scopus 로고
    • Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 1. Theory and computational experiments
    • Rama Rao, B. S., LaVenue, A. M., de Marsily, G. & Marietta, M. G., Pilot point methodology for automated calibration of an ensemble of conditionally simulated transmissivity fields: 1. Theory and computational experiments. Water Resour. Res., 31(3) (1995) 475-493.
    • (1995) Water Resour. Res. , vol.31 , Issue.3 , pp. 475-493
    • Rama Rao, B.S.1    LaVenue, A.M.2    De Marsily, G.3    Marietta, M.G.4
  • 98
    • 0001154205 scopus 로고
    • A stochastic approach to the problem of upscaling of conductivity in disordered media: Theory and unconditional numerical simulations
    • April
    • Rubin, Y. & Gómez-Hernández, J., A stochastic approach to the problem of upscaling of conductivity in disordered media: Theory and unconditional numerical simulations. Water Resour. Res. 22(4) (April 1990).
    • (1990) Water Resour. Res. , vol.22 , Issue.4
    • Rubin, Y.1    Gómez-Hernández, J.2
  • 99
    • 0024738303 scopus 로고
    • Flow in random porous media: Mathematical formulation, variational principles, and rigorous bounds
    • Rubinstein, J. & Torquato, S., Flow in random porous media: mathematical formulation, variational principles, and rigorous bounds. J. Fluid Mech., 206 (1989) 25-46.
    • (1989) J. Fluid Mech. , vol.206 , pp. 25-46
    • Rubinstein, J.1    Torquato, S.2
  • 100
    • 0006457358 scopus 로고
    • Scaling of the effective permeability in multifractal porous media
    • Saucier, A., Scaling of the effective permeability in multifractal porous media. J. Phys. A: Math. Gen., 191 (1992) 289-294.
    • (1992) J. Phys. A: Math. Gen. , vol.191 , pp. 289-294
    • Saucier, A.1
  • 101
    • 0029413032 scopus 로고
    • A synthesis of approaches to upscaling of hydraulic conductivities
    • Sànchez-Vila, X., Girardi, J. P. & Carrera, J., A synthesis of approaches to upscaling of hydraulic conductivities. Water Resour. Res. 31(4) (1995) 867-882.
    • (1995) Water Resour. Res. , vol.31 , Issue.4 , pp. 867-882
    • Sànchez-Vila, X.1    Girardi, J.P.2    Carrera, J.3
  • 102
    • 29544441737 scopus 로고
    • Exact critical percolation probabilities for site and bond problems in two dimensions
    • Sykes, M. F. & Essam, J. W., Exact critical percolation probabilities for site and bond problems in two dimensions. J. Math Phys. 5 (1964) 1117-1127.
    • (1964) J. Math Phys. , vol.5 , pp. 1117-1127
    • Sykes, M.F.1    Essam, J.W.2
  • 105
    • 0347197463 scopus 로고
    • Addressing the missing scale: Direct simulation of effective modeling eel permeability
    • Stanford Center for Reservoir Forecasting, May
    • Tran, T., Addressing the missing scale: Direct simulation of effective modeling eel permeability. Tech. Rep. 8th annual meeting, Stanford Center for Reservoir Forecasting, May 1995.
    • (1995) Tech. Rep. 8th Annual Meeting
    • Tran, T.1
  • 106
    • 0346567295 scopus 로고
    • Automatic generation of corner-point-geometry flow simulation grids from detailed geostatistical descriptions
    • May
    • Tran, T. & Journel, A., Automatic generation of corner-point-geometry flow simulation grids from detailed geostatistical descriptions. Tech. Rep. 8th annual meeting, Stanford Center for Reservoir Forecasting, May 1995.
    • (1995) Tech. Rep. 8th Annual Meeting, Stanford Center for Reservoir Forecasting
    • Journel, A.1
  • 108
    • 0000828861 scopus 로고
    • Flow in heterogeneous porous media
    • Warren, J. & Price, H., Flow in heterogeneous porous media. SPE J. 1 (1961) 153-169.
    • (1961) SPE J. , vol.1 , pp. 153-169
    • Warren, J.1    Price, H.2
  • 109
    • 0030455072 scopus 로고    scopus 로고
    • Upscaling hydraulic conductivities in heterogeneous media: An overview
    • Wen, X.-H. & Gómez-Hernández, J. J., Upscaling hydraulic conductivities in heterogeneous media: An overview. J. Hydrol. 183(1-2) (1996) ix-xxxii.
    • (1996) J. Hydrol. , vol.183 , Issue.1-2
    • Wen, X.-H.1    Gómez-Hernández, J.J.2
  • 110
    • 0023033970 scopus 로고
    • Flow in porous media: 1. a theoretical derivation of Darcy's law
    • Whitaker, S., Flow in porous media: 1. A theoretical derivation of Darcy's law. Trans. Porous Media, 1(1) (1986) 3-25.
    • (1986) Trans. Porous Media , vol.1 , Issue.1 , pp. 3-25
    • Whitaker, S.1
  • 113
    • 35949034896 scopus 로고
    • The renormalization group
    • Wilson, K. G., The renormalization group. Rev. Mod. Phys., 47 (1975) 773.
    • (1975) Rev. Mod. Phys. , vol.47 , pp. 773
    • Wilson, K.G.1
  • 114
    • 0003729538 scopus 로고
    • A dissipation based coarse grid system and its application to the scale-up of two-phase problems
    • Stanford Center for Reservoir Forecasting
    • Yamada, T., A dissipation based coarse grid system and its application to the scale-up of two-phase problems. Tech. Rep. 8th annual meeting, Stanford Center for Reservoir Forecasting, 1995.
    • (1995) Tech. Rep. 8th Annual Meeting
    • Yamada, T.1
  • 115
    • 0027101023 scopus 로고
    • Modeling permeability in imperfectly layered media: 1. Derivation of block-scale permeability tensor for thin grid-block
    • Zijl, W. & Stam, J. M. T., Modeling permeability in imperfectly layered media: 1. Derivation of block-scale permeability tensor for thin grid-block. Math. Geol, 24(8) (1992) 865-883.
    • (1992) Math. Geol , vol.24 , Issue.8 , pp. 865-883
    • Zijl, W.1    Stam, J.M.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.