메뉴 건너뛰기




Volumn 30, Issue 1-2, 1998, Pages 129-156

Numerical modeling of macrodispersion in heterogeneous media: A comparison of multi-Gaussian and non-multi-Gaussian models

Author keywords

Connectivity; Indicator covariance; Macrodispersivity; Temporal moment

Indexed keywords

DISPERSION; POROUS MEDIUM;

EID: 0032584095     PISSN: 01697722     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0169-7722(97)00035-1     Document Type: Article
Times cited : (78)

References (61)
  • 1
    • 0003138099 scopus 로고
    • Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media
    • Ababou R., McLaughlin D., Gelhar L.W., Tompson A.F.B. Numerical simulation of three-dimensional saturated flow in randomly heterogeneous porous media. Transport in Porous Media. 4(6):1989;549-566.
    • (1989) Transport in Porous Media , vol.4 , Issue.6 , pp. 549-566
    • Ababou, R.1    McLaughlin, D.2    Gelhar, L.W.3    Tompson, A.F.B.4
  • 2
    • 0027069042 scopus 로고
    • Field study of dispersion in a heterogeneous aquifer, 2. Spatial moments analysis
    • Adams E.E., Gelhar L.W. Field study of dispersion in a heterogeneous aquifer, 2. Spatial moments analysis. Water Resour. Res. 28(12):1992;3293-3307.
    • (1992) Water Resour. Res. , vol.28 , Issue.12 , pp. 3293-3307
    • Adams, E.E.1    Gelhar, L.W.2
  • 4
    • 84879879139 scopus 로고
    • Hydrogeologic facies models to delineate large-scale spatial trends in glacial and glaciofluvial sediments
    • Anderson M.P. Hydrogeologic facies models to delineate large-scale spatial trends in glacial and glaciofluvial sediments. Geol. Soc. Am. Bull. 101:1989;501-511.
    • (1989) Geol. Soc. Am. Bull. , vol.101 , pp. 501-511
    • Anderson, M.P.1
  • 5
    • 0001552855 scopus 로고
    • Comment on universal scaling of hydraulic conductivities and dispersivities in geological media by S.P. Neuman
    • Anderson M.P. Comment on universal scaling of hydraulic conductivities and dispersivities in geological media by S.P. Neuman. Water Resour. Res. 27(6):1991;1381-1382.
    • (1991) Water Resour. Res. , vol.27 , Issue.6 , pp. 1381-1382
    • Anderson, M.P.1
  • 6
    • 0024196369 scopus 로고
    • On the Dagan model of solute transport in groundwater: Application to the Borden site
    • Barry D.A., Coves J., Sposito G. On the Dagan model of solute transport in groundwater: application to the Borden site. Water Resour. Res. 24(10):1988;1805-1817.
    • (1988) Water Resour. Res. , vol.24 , Issue.10 , pp. 1805-1817
    • Barry, D.A.1    Coves, J.2    Sposito, G.3
  • 7
    • 0027035745 scopus 로고
    • Dispersion in heterogeneous porous media: Statistics, first-order theories, convergence of computations
    • Bellin A., Salandin P., Rinaldo A. Dispersion in heterogeneous porous media: statistics, first-order theories, convergence of computations. Water Resour. Res. 28(9):1992;2211-2227.
    • (1992) Water Resour. Res. , vol.28 , Issue.9 , pp. 2211-2227
    • Bellin, A.1    Salandin, P.2    Rinaldo, A.3
  • 8
    • 0018732742 scopus 로고
    • A simulation model of alluvial stratigraphy
    • Bridge J.S., Leeder M.R. A simulation model of alluvial stratigraphy. Sedimentology. 26:1979;617-644.
    • (1979) Sedimentology , vol.26 , pp. 617-644
    • Bridge, J.S.1    Leeder, M.R.2
  • 9
    • 0027048235 scopus 로고
    • An investigation of the validity of first-order stochastic dispersion theories in isotropic porous media
    • Chin D.A., Wang T. An investigation of the validity of first-order stochastic dispersion theories in isotropic porous media. Water Resour. Res. 28/6:1992;1531-1542.
    • (1992) Water Resour. Res. , vol.286 , pp. 1531-1542
    • Chin, D.A.1    Wang, T.2
  • 10
    • 0020332319 scopus 로고
    • Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 1. Conditional simulation and the direct problem
    • Dagan G. Stochastic modeling of groundwater flow by unconditional and conditional probabilities, 1. Conditional simulation and the direct problem. Water Resour. Res. 18:1982;1571-1585.
    • (1982) Water Resour. Res. , vol.18 , pp. 1571-1585
    • Dagan, G.1
  • 11
    • 0021470157 scopus 로고
    • Solute transport in heterogeneous porous formations
    • Dagan G. Solute transport in heterogeneous porous formations. J. Fluid Mech. 145:1984;151-177.
    • (1984) J. Fluid Mech. , vol.145 , pp. 151-177
    • Dagan, G.1
  • 12
    • 0023249063 scopus 로고
    • Theory of solute transport by groundwater
    • Dagan G. Theory of solute transport by groundwater. Ann. Rev. Fluid Mech. 19:1987;183-215.
    • (1987) Ann. Rev. Fluid Mech. , vol.19 , pp. 183-215
    • Dagan, G.1
  • 13
    • 0024233776 scopus 로고
    • Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifer
    • Dagan G. Time-dependent macrodispersion for solute transport in anisotropic heterogeneous aquifer. Water Resour. Res. 24(9):1988;1491-1500.
    • (1988) Water Resour. Res. , vol.24 , Issue.9 , pp. 1491-1500
    • Dagan, G.1
  • 15
    • 0025207247 scopus 로고
    • Macrodispersion in sand-shale sequences
    • Desbarats A.J. Macrodispersion in sand-shale sequences. Water Resour. Res. 26(1):1990;153-163.
    • (1990) Water Resour. Res. , vol.26 , Issue.1 , pp. 153-163
    • Desbarats, A.J.1
  • 16
    • 0026288396 scopus 로고
    • Geostatistical characterization of groundwater flow parameters in a simulated aquifer
    • Desbarats A.J., Srivastava R.M. Geostatistical characterization of groundwater flow parameters in a simulated aquifer. Water Resour. Res. 27(5):1991;687-698.
    • (1991) Water Resour. Res. , vol.27 , Issue.5 , pp. 687-698
    • Desbarats, A.J.1    Srivastava, R.M.2
  • 18
    • 0028192945 scopus 로고
    • Practical considerations in the application of simulated annealing to stochastic simulation
    • Deutsch C.V., Cockerham P.W. Practical considerations in the application of simulated annealing to stochastic simulation. Math. Geol. 26(1):1994;67-82.
    • (1994) Math. Geol. , vol.26 , Issue.1 , pp. 67-82
    • Deutsch, C.V.1    Cockerham, P.W.2
  • 19
    • 0022710716 scopus 로고
    • Groundwater flow and sand body interconnectedness in a thick, multi-aquifer system
    • Fogg G.E. Groundwater flow and sand body interconnectedness in a thick, multi-aquifer system. Water Resour. Res. 22(5):1986;679-694.
    • (1986) Water Resour. Res. , vol.22 , Issue.5 , pp. 679-694
    • Fogg, G.E.1
  • 20
    • 0028669395 scopus 로고
    • On the use of continuum approximations for regional modeling of groundwater flow through crystalline rocks
    • Follin S., Thunvik R. On the use of continuum approximations for regional modeling of groundwater flow through crystalline rocks. Adv. in Water Resources. 17(2):1994;133-145.
    • (1994) Adv. in Water Resources , vol.17 , Issue.2 , pp. 133-145
    • Follin, S.1    Thunvik, R.2
  • 21
    • 0022893881 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer, 2. Spatial moments and the advection and dispersion of non-reactive tracers
    • Freyberg D.L. A natural gradient experiment on solute transport in a sand aquifer, 2. Spatial moments and the advection and dispersion of non-reactive tracers. Water Resour. Res. 22(13):1986;2031-2046.
    • (1986) Water Resour. Res. , vol.22 , Issue.13 , pp. 2031-2046
    • Freyberg, D.L.1
  • 22
    • 0016562894 scopus 로고
    • A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media
    • Freeze R.A. A stochastic-conceptual analysis of one-dimensional groundwater flow in nonuniform homogeneous media. Water Resour. Res. 11(5):1975;725-741.
    • (1975) Water Resour. Res. , vol.11 , Issue.5 , pp. 725-741
    • Freeze, R.A.1
  • 24
    • 0026279520 scopus 로고
    • Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2. Analysis of spatial moments for a nonreactive tracer
    • Garabedian S.P., LeBlanc D.R., Gelhar L.W., Celia M.A. Large-scale natural gradient tracer test in sand and gravel, Cape Cod, Massachusetts, 2. Analysis of spatial moments for a nonreactive tracer. Water Resour. Res. 27(5):1991;911-924.
    • (1991) Water Resour. Res. , vol.27 , Issue.5 , pp. 911-924
    • Garabedian, S.P.1    Leblanc, D.R.2    Gelhar, L.W.3    Celia, M.A.4
  • 25
    • 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
  • 26
    • 0022110790 scopus 로고
    • A review of field-scale physical solute transport processes in saturated and unsaturated porous media
    • Project 2485-5, Palo Alto, CA.
    • Gelhar, L.W., Mantoglou, A., Welty, C., Rehfeldt, K.R., 1985. A review of field-scale physical solute transport processes in saturated and unsaturated porous media. Electric Power Research Institute Report EA-4190, Project 2485-5, Palo Alto, CA.
    • (1985) Electric Power Research Institute Report EA-4190
    • Gelhar, L.W.1    Mantoglou, A.2    Welty, C.3    Rehfeldt, K.R.4
  • 27
    • 0022766379 scopus 로고
    • Stochastic subsurface hydrology from theory to applications
    • Gelhar L.W. Stochastic subsurface hydrology from theory to applications. Water Resour. Res. 22(9):1986;135S-145S.
    • (1986) Water Resour. Res. , vol.22 , Issue.9
    • Gelhar, L.W.1
  • 28
    • 0027072990 scopus 로고
    • A critical review of data on field-scale dispersion in aquifers
    • Gelhar L.W., Welty C., Rehfeldt K.R. A critical review of data on field-scale dispersion in aquifers. Water Resour. Res. 28(7):1992;1955-1974.
    • (1992) Water Resour. Res. , vol.28 , Issue.7 , pp. 1955-1974
    • Gelhar, L.W.1    Welty, C.2    Rehfeldt, K.R.3
  • 30
    • 0027880698 scopus 로고
    • Joint sequential simulation of multi-Gaussian fields
    • In: Soares, A. (Ed.), Kluwer.
    • Gómez-Hernández, J.J., Journel, A.G., 1993. Joint sequential simulation of multi-Gaussian fields. In: Soares, A. (Ed.), Geostatistics Tróia '92, vol. 1, 85-94, Kluwer.
    • (1993) Geostatistics Tróia '92 , vol.1 , pp. 85-94
    • Gómez-Hernández, J.J.1    Journel, A.G.2
  • 31
    • 0032007819 scopus 로고    scopus 로고
    • To be or not to be multi-Gaussian? A reflection on stochastic hydrology
    • Gómez-Hernández J.J., Wen X.-H. To be or not to be multi-Gaussian? A reflection on stochastic hydrology. Adv. in Water Resources. 21(1):1997;47-61.
    • (1997) Adv. in Water Resources , vol.21 , Issue.1 , pp. 47-61
    • Gómez-Hernández, J.J.1    Wen, X.-H.2
  • 32
    • 0026277438 scopus 로고
    • A stochastic model of solute transport in groundwater: Application to the Borden, Ontario, tracer test
    • Graham W.D., McLaughlin D.B. A stochastic model of solute transport in groundwater: application to the Borden, Ontario, tracer test. Water Resour. Res. 27(6):1991;1345-1359.
    • (1991) Water Resour. Res. , vol.27 , Issue.6 , pp. 1345-1359
    • Graham, W.D.1    McLaughlin, D.B.2
  • 33
    • 34250149492 scopus 로고
    • Nonparametric estimation of spatial distribution
    • Journel A.G. Nonparametric estimation of spatial distribution. Math. Geol. 15(3):1983;445-468.
    • (1983) Math. Geol. , vol.15 , Issue.3 , pp. 445-468
    • Journel, A.G.1
  • 36
    • 0025388152 scopus 로고
    • New method for reservoir mapping
    • Journel A.G., Alabert F.G. New method for reservoir mapping. J. Pet. Technol. 42(2):1990;212.
    • (1990) J. Pet. Technol. , vol.42 , Issue.2 , pp. 212
    • Journel, A.G.1    Alabert, F.G.2
  • 37
    • 0027505274 scopus 로고
    • Entropy and spatial disorder
    • Journel A.G., Deutsch C.V. Entropy and spatial disorder. Math. Geol. 25(3):1993;329-356.
    • (1993) Math. Geol. , vol.25 , Issue.3 , pp. 329-356
    • Journel, A.G.1    Deutsch, C.V.2
  • 38
    • 0028666602 scopus 로고
    • Scale and directional dependence of macrodispersivities in colonnade networks
    • Khaleel R. Scale and directional dependence of macrodispersivities in colonnade networks. Water Resour. Res. 30(12):1994;3337-3355.
    • (1994) Water Resour. Res. , vol.30 , Issue.12 , pp. 3337-3355
    • Khaleel, R.1
  • 40
    • 0018152441 scopus 로고
    • On the physical meaning of dispersion equation and its solutions for different initial and boundary conditions
    • Kreft A., Zuber A. On the physical meaning of dispersion equation and its solutions for different initial and boundary conditions. Chem. Eng. Sci. 33:1978;1471-1480.
    • (1978) Chem. Eng. Sci. , vol.33 , pp. 1471-1480
    • Kreft, A.1    Zuber, A.2
  • 41
    • 0022903089 scopus 로고
    • A natural gradient experiment on solute transport in sand aquifer, 1. Approach and overview of plume movement
    • Mackay D.M., Freyberg D.L., Roberts P.V., Cherry J.A. A natural gradient experiment on solute transport in sand aquifer, 1. Approach and overview of plume movement. Water Resour. Res. 22(13):1986;2017-2029.
    • (1986) Water Resour. Res. , vol.22 , Issue.13 , pp. 2017-2029
    • MacKay, D.M.1    Freyberg, D.L.2    Roberts, P.V.3    Cherry, J.A.4
  • 42
    • 0019145640 scopus 로고
    • Is transport in porous media always diffusive? A counterexample
    • Matheron G., de Marsily G. Is transport in porous media always diffusive? A counterexample. Water Resour. Res. 16(5):1980;901-917.
    • (1980) Water Resour. Res. , vol.16 , Issue.5 , pp. 901-917
    • Matheron, G.1    De Marsily, G.2
  • 43
    • 0028607737 scopus 로고
    • Flow channeling in strongly heterogeneous porous media: A numerical study
    • Moreno L., Tsang C.-F. Flow channeling in strongly heterogeneous porous media: a numerical study. Water Resour. Res. 30(5):1994;1421-1430.
    • (1994) Water Resour. Res. , vol.30 , Issue.5 , pp. 1421-1430
    • Moreno, L.1    Tsang, C.-F.2
  • 44
    • 0000246040 scopus 로고
    • Generation of effective relative permeabilities from detailed simulation of flow in heterogeneous porous media
    • In: Lake, L.W., Carroll, H.B., Wesson, T.C. (Eds.), Academic Press, pp.
    • Muggeridge, A.H., 1991. Generation of effective relative permeabilities from detailed simulation of flow in heterogeneous porous media. In: Lake, L.W., Carroll, H.B., Wesson, T.C. (Eds.), Reservoir Characterization II. Academic Press, pp. 197-225.
    • (1991) Reservoir Characterization , vol.2 , pp. 197-225
    • Muggeridge, A.H.1
  • 45
    • 0023105729 scopus 로고
    • Stochastic theory of field-scale Fickian dispersion in anisotropic porous media
    • Neuman S.P., Winter C.L., Newman C.M. Stochastic theory of field-scale Fickian dispersion in anisotropic porous media. Water Resour. Res. 23(3):1987;453-466.
    • (1987) Water Resour. Res. , vol.23 , Issue.3 , pp. 453-466
    • Neuman, S.P.1    Winter, C.L.2    Newman, C.M.3
  • 46
    • 84945098599 scopus 로고
    • A quasi-linear theory of non-Fickian and Fickian subsurface dispersion, 1. Theoretical analysis with application to isotropic media
    • Neuman S.P., Zhang Y.K. A quasi-linear theory of non-Fickian and Fickian subsurface dispersion, 1. Theoretical analysis with application to isotropic media. Water Resour. Res. 26(5):1990;887-902.
    • (1990) Water Resour. Res. , vol.26 , Issue.5 , pp. 887-902
    • Neuman, S.P.1    Zhang, Y.K.2
  • 47
    • 0027060213 scopus 로고
    • Field study of dispersion in a heterogeneous aquifer, 3. Geostatistical analysis of hydraulic conductivity
    • Rehfeldt K.R., Boggs J.M., Gelhar L.W. Field study of dispersion in a heterogeneous aquifer, 3. Geostatistical analysis of hydraulic conductivity. Water Resour. Res. 28(12):1992;3309-3324.
    • (1992) Water Resour. Res. , vol.28 , Issue.12 , pp. 3309-3324
    • Rehfeldt, K.R.1    Boggs, J.M.2    Gelhar, L.W.3
  • 48
    • 0024192343 scopus 로고
    • Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifer, 1. Constant head boundary
    • Rubin Y., Dagan G. Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifer, 1. Constant head boundary. Water Resour. Res. 24(10):1988;1689-1697.
    • (1988) Water Resour. Res. , vol.24 , Issue.10 , pp. 1689-1697
    • Rubin, Y.1    Dagan, G.2
  • 49
    • 0024567327 scopus 로고
    • Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifer, 2. Impervious boundary
    • Rubin Y., Dagan G. Stochastic analysis of boundary effects on head spatial variability in heterogeneous aquifer, 2. Impervious boundary. Water Resour. Res. 25(4):1989;707-712.
    • (1989) Water Resour. Res. , vol.25 , Issue.4 , pp. 707-712
    • Rubin, Y.1    Dagan, G.2
  • 50
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Rubin Y. Stochastic modeling of macrodispersion in heterogeneous porous media. Water Resour. Res. 26(1):1990;133-141.
    • (1990) Water Resour. Res. , vol.26 , Issue.1 , pp. 133-141
    • Rubin, Y.1
  • 51
    • 0026277677 scopus 로고
    • Simulation of non-Gaussian space random functions for modeling transport in groundwater
    • Rubin Y., Journel A.G. Simulation of non-Gaussian space random functions for modeling transport in groundwater. Water Resour. Res. 27(7):1991;1711-1721.
    • (1991) Water Resour. Res. , vol.27 , Issue.7 , pp. 1711-1721
    • Rubin, Y.1    Journel, A.G.2
  • 53
    • 0019165870 scopus 로고
    • Mass transport, 1. A stochastic analysis of macroscopic dispersion
    • Smith L., Schwartz F.W. Mass transport, 1. A stochastic analysis of macroscopic dispersion. Water Resour. Res. 18(2):1980;303-313.
    • (1980) Water Resour. Res. , vol.18 , Issue.2 , pp. 303-313
    • Smith, L.1    Schwartz, F.W.2
  • 54
    • 0019727608 scopus 로고
    • Mass transport, 2. Analysis of uncertainty in prediction
    • Smith L., Schwartz F.W. Mass transport, 2. Analysis of uncertainty in prediction. Water Resour. Res. 17(2):1981;351-369.
    • (1981) Water Resour. Res. , vol.17 , Issue.2 , pp. 351-369
    • Smith, L.1    Schwartz, F.W.2
  • 55
    • 0022874009 scopus 로고
    • A natural gradient experiment on solute transport in a sand aquifer: Spatial variability of hydraulic conductivity and its role in dispersion process
    • Sudicky E.A. A natural gradient experiment on solute transport in a sand aquifer: spatial variability of hydraulic conductivity and its role in dispersion process. Water Resour. Res. 22(13):1986;2069-2082.
    • (1986) Water Resour. Res. , vol.22 , Issue.13 , pp. 2069-2082
    • Sudicky, E.A.1
  • 56
    • 0028668033 scopus 로고
    • Prediction of solute dispersion in heterogeneous porous media: Effect of ergodicity and hydraulic conductivity discretisation
    • Tompkins J.A., Gan K.C., Wheater H.S., Hirano F. Prediction of solute dispersion in heterogeneous porous media: effect of ergodicity and hydraulic conductivity discretisation. J. Hydrology. 159:1994;105-123.
    • (1994) J. Hydrology , vol.159 , pp. 105-123
    • Tompkins, J.A.1    Gan, K.C.2    Wheater, H.S.3    Hirano, F.4
  • 57
    • 0025624804 scopus 로고
    • Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media
    • Tompson A.F.B., Gelhar L.W. Numerical simulation of solute transport in three-dimensional, randomly heterogeneous porous media. Water Resour. Res. 26(10):1990;2541-2562.
    • (1990) Water Resour. Res. , vol.26 , Issue.10 , pp. 2541-2562
    • Tompson, A.F.B.1    Gelhar, L.W.2
  • 58
    • 0024800594 scopus 로고
    • Reliable aquifer remediation in the presence of spatial variable hydraulic conductivity: From data to design
    • Wagner B.J., Gorelick S.M. Reliable aquifer remediation in the presence of spatial variable hydraulic conductivity: from data to design. Water Resour. Res. 25(10):1989;2211-2225.
    • (1989) Water Resour. Res. , vol.25 , Issue.10 , pp. 2211-2225
    • Wagner, B.J.1    Gorelick, S.M.2
  • 59
    • 0029507387 scopus 로고
    • A Q-BASIC program for modeling advective mass transport with retardation and radioactive decay by particle tracking
    • Wen X.-H., Kung C.-S. A Q-BASIC program for modeling advective mass transport with retardation and radioactive decay by particle tracking. Computers and Geosciences. 21(4):1995;463-480.
    • (1995) Computers and Geosciences , vol.21 , Issue.4 , pp. 463-480
    • Wen, X.-H.1    Kung, C.-S.2
  • 60
    • 0000634025 scopus 로고    scopus 로고
    • The constant displacement scheme for tracking particles in heterogeneous aquifers
    • Wen X.-H., Gómez-Hernández J.J. The constant displacement scheme for tracking particles in heterogeneous aquifers. Ground Water. 34(1):1996;135-142.
    • (1996) Ground Water , vol.34 , Issue.1 , pp. 135-142
    • Wen, X.-H.1    Gómez-Hernández, J.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.