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Volumn 22, Issue 3, 1998, Pages 257-272

Flow in unsaturated random porous media, nonlinear numerical analysis and comparison to analytical stochastic models

Author keywords

Flow modeling; Heterogeneity; Soil water; Stochastic analysis; Vadose zone

Indexed keywords

COMPUTER SIMULATION; HYDRAULIC CONDUCTIVITY; MATHEMATICAL MODELS; MONTE CARLO METHODS; POROUS MATERIALS; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SOILS; STEADY FLOW;

EID: 0344267754     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0309-1708(98)00010-4     Document Type: Article
Times cited : (40)

References (60)
  • 1
    • 0003975619 scopus 로고
    • Ph.D. thesis, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA
    • Ababou, R., Three-dimensional flow in random porous media. Ph.D. thesis, Department of Civil Engineering, Massachusetts Institute of Technology, Cambridge, MA, 1988.
    • (1988) Three-dimensional Flow in Random Porous Media
    • Ababou, R.1
  • 2
    • 0022928632 scopus 로고
    • Statistical and autoregressive analysis of soil physical properties of Portsmouth sandy loam
    • Anderson S. H., Cassel D. K. Statistical and autoregressive analysis of soil physical properties of Portsmouth sandy loam. Soil Sci. Soc. Am. J. 49:1986;1096-1104.
    • (1986) Soil Sci. Soc. Am. J. , vol.49 , pp. 1096-1104
    • Anderson, S.H.1    Cassel, D.K.2
  • 3
    • 0017955232 scopus 로고
    • Stochastic analysis of the effect of spatial variability in subsurface flows, 1: Comparison of one- And three-dimensional flows
    • Bakr A. A., Gelhar L. W., Gutjahr A. L., McMillan J. R. Stochastic analysis of the effect of spatial variability in subsurface flows, 1: comparison of one- and three-dimensional flows. Water Resour. Res. 14:1978;263-271.
    • (1978) Water Resour. Res. , vol.14 , pp. 263-271
    • Bakr, A.A.1    Gelhar, L.W.2    Gutjahr, A.L.3    McMillan, J.R.4
  • 4
    • 0027035745 scopus 로고
    • Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations
    • Bellin A., Salandin P., Rinaldo A. Simulation of dispersion in heterogeneous porous formations: statistics, first-order theories, convergence of computations. Water Resour. Res. 28:1992;2211-2227.
    • (1992) Water Resour. Res. , vol.28 , pp. 2211-2227
    • Bellin, A.1    Salandin, P.2    Rinaldo, A.3
  • 6
    • 84921216738 scopus 로고
    • Spatial variability of soil hydraulic properties of a psammetic palexeralf soil of South Italy
    • Ciollaro G., Comegna V. Spatial variability of soil hydraulic properties of a psammetic palexeralf soil of South Italy. Acta Horticulturae, Int. Soc. for Horticultural Science. 228:1988;61-71.
    • (1988) Acta Horticulturae, Int. Soc. for Horticultural Science , vol.228 , pp. 61-71
    • Ciollaro, G.1    Comegna, V.2
  • 10
    • 0027061829 scopus 로고
    • A solute flux approach to transport in heterogeneous formations, 2. Uncertainty analysis
    • Cvetkovic V., Shapiro A. M., Dagan G. A solute flux approach to transport in heterogeneous formations, 2. Uncertainty analysis. Water Resour. Res. 28:1992;1377-1388.
    • (1992) Water Resour. Res. , vol.28 , pp. 1377-1388
    • Cvetkovic, V.1    Shapiro, A.M.2    Dagan, G.3
  • 11
    • 0021470157 scopus 로고
    • Solute transport in heterogeneous porous formations
    • Dagan G. Solute transport in heterogeneous porous formations. J. Fluid Mechanics. 145:1984;151-177.
    • (1984) J. Fluid Mechanics , 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
  • 14
    • 33845514960 scopus 로고
    • Some steady state solutions of unsaturated moisture flow equations with applications to evaporate from a water table
    • Gardner W. R. Some steady state solutions of unsaturated moisture flow equations with applications to evaporate from a water table. Soil Sci. 85:1958;228-232.
    • (1958) Soil Sci. , vol.85 , pp. 228-232
    • Gardner, W.R.1
  • 16
    • 0024163189 scopus 로고
    • Wetting front instability as a rapid and far-reaching hydrological process in the vadose zone
    • Glass R. J., Steenhuis T. S., Parlange J.-Y. Wetting front instability as a rapid and far-reaching hydrological process in the vadose zone. J. of Contam. Hydrol. 3:1988;207-226.
    • (1988) J. of Contam. Hydrol. , vol.3 , pp. 207-226
    • Glass, R.J.1    Steenhuis, T.S.2    Parlange, J.-Y.3
  • 18
    • 0022264352 scopus 로고
    • Spatial variability of field-measured soil-water characteristics
    • Greminger P. J., Sud Y. K., Nielsen D. R. Spatial variability of field-measured soil-water characteristics. Soil Sci. Soc. Am. J. 49:1985;1075-1082.
    • (1985) Soil Sci. Soc. Am. J. , vol.49 , pp. 1075-1082
    • Greminger, P.J.1    Sud, Y.K.2    Nielsen, D.R.3
  • 19
    • 0004111551 scopus 로고
    • Fast Fourier transforms for random field generation
    • Contract number 4-R58-2690R, Department of Mathematics, New Mexico Tech, Socorro, New Mexico
    • Gutjahr, A. L., Fast Fourier transforms for random field generation. Project Report for Los Alamos Grant to New Mexico Tech, Contract number 4-R58-2690R, Department of Mathematics, New Mexico Tech, Socorro, New Mexico, 1989.
    • (1989) Project Report for Los Alamos Grant to New Mexico Tech
    • Gutjahr, A.L.1
  • 21
    • 0027838644 scopus 로고
    • An efficient method for simulating steady unsaturated flow in random porous media: Using an analytical perturbation solution as initial guess to a numerical model
    • Harter T., Yeh T. C. J. An efficient method for simulating steady unsaturated flow in random porous media: using an analytical perturbation solution as initial guess to a numerical model. Water Resour. Res. 29:1993;4139-4149.
    • (1993) Water Resour. Res. , vol.29 , pp. 4139-4149
    • Harter, T.1    Yeh, T.C.J.2
  • 23
    • 0029669580 scopus 로고    scopus 로고
    • Stochastic analysis of solute transport in heterogeneous, variably saturated porous media
    • Harter T., Yeh T.-C. J. Stochastic analysis of solute transport in heterogeneous, variably saturated porous media. Water Resour. Res. 32:1996;1585-1595.
    • (1996) Water Resour. Res. , vol.32 , pp. 1585-1595
    • Harter, T.1    Yeh T.-C., J.2
  • 24
    • 0029669579 scopus 로고    scopus 로고
    • Conditional stochastic analysis of solute transport in heterogeneous, variably saturated soils
    • Harter T., Yeh T.-C. J. Conditional stochastic analysis of solute transport in heterogeneous, variably saturated soils. Water Resour. Res. 32:1996;1597-1609.
    • (1996) Water Resour. Res. , vol.32 , pp. 1597-1609
    • Harter, T.1    Yeh T.-C., J.2
  • 26
    • 0024258256 scopus 로고
    • Two-dimensional steady state unsaturated water flow in heterogeneous soils with autocorrelated soil hydraulic properties
    • Hopmans J. W., Schukking H., Torfs P. J. J. F. Two-dimensional steady state unsaturated water flow in heterogeneous soils with autocorrelated soil hydraulic properties. Water Resour. Res. 24:1988;2005-2017.
    • (1988) Water Resour. Res. , vol.24 , pp. 2005-2017
    • Hopmans, J.W.1    Schukking, H.2    Torfs, P.J.J.F.3
  • 28
    • 0024229942 scopus 로고
    • Variability of saturated hydraulic conductivity in a glossaquic hapludalf with macropores
    • Lauren J. G., Wagenet R. J., Bouma J., Wonston J. H. M. Variability of saturated hydraulic conductivity in a glossaquic hapludalf with macropores. Soil Sci. 145:1988;2005-2017.
    • (1988) Soil Sci. , vol.145 , pp. 2005-2017
    • Lauren, J.G.1    Wagenet, R.J.2    Bouma, J.3    Wonston, J.H.M.4
  • 29
    • 0023524206 scopus 로고
    • Stochastic modeling of large-scale transient unsaturated flow systems
    • Mantaglou A., Gelhar L. W. Stochastic modeling of large-scale transient unsaturated flow systems. Water Resour. Res. 23:1987;37-46.
    • (1987) Water Resour. Res. , vol.23 , pp. 37-46
    • Mantaglou, A.1    Gelhar, L.W.2
  • 30
    • 0023524190 scopus 로고
    • Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils
    • Mantoglou A., Gelhar L. W. Capillary tension head variance, mean soil moisture content, and effective specific soil moisture capacity of transient unsaturated flow in stratified soils. Water Resour. Res. 23:1987;47-56.
    • (1987) Water Resour. Res. , vol.23 , pp. 47-56
    • Mantoglou, A.1    Gelhar, L.W.2
  • 31
    • 0023524189 scopus 로고
    • Effective hydraulic conductivities of transient unsaturated flow in stratified soils
    • Mantoglou A., Gelhar L. W. Effective hydraulic conductivities of transient unsaturated flow in stratified soils. Water Resour. Res. 23:1987;57-67.
    • (1987) Water Resour. Res. , vol.23 , pp. 57-67
    • Mantoglou, A.1    Gelhar, L.W.2
  • 32
    • 0020332325 scopus 로고
    • Stochastic analysis of spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads
    • Mizell S. A., Gutjahr A. L., Gelhar L. W. Stochastic analysis of spatial variability in two-dimensional steady groundwater flow assuming stationary and nonstationary heads. Water Resour. Res. 18:1982;1053-1067.
    • (1982) Water Resour. Res. , vol.18 , pp. 1053-1067
    • Mizell, S.A.1    Gutjahr, A.L.2    Gelhar, L.W.3
  • 33
    • 0026304149 scopus 로고
    • Hysteresis and state-dependent anisotropy in modeling unsaturated hillslope hydrologic processes
    • McCord J. T., Stephens D. B., Wilson J.L. Hysteresis and state-dependent anisotropy in modeling unsaturated hillslope hydrologic processes. Water Resour. Res. 27:1991;1501-1518.
    • (1991) Water Resour. Res. , vol.27 , pp. 1501-1518
    • McCord, J.T.1    Stephens, D.B.2    Wilson, J.L.3
  • 34
    • 0024197022 scopus 로고
    • Flow and tracer transport in a single fracture: A stochastic model and its relation to some field observations
    • Moreno L., Tsang Y. W., Tsang C. F., Hale F. V., Neretnieks I. Flow and tracer transport in a single fracture: a stochastic model and its relation to some field observations. Water Resour. Res. 24:1989;2033-2048.
    • (1989) Water Resour. Res. , vol.24 , pp. 2033-2048
    • Moreno, L.1    Tsang, Y.W.2    Tsang, C.F.3    Hale, F.V.4    Neretnieks, I.5
  • 35
    • 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. 30:1994;1421-1430.
    • (1994) Water Resour. Res. , vol.30 , pp. 1421-1430
    • Moreno, L.1    Tsang, C.F.2
  • 37
    • 0001081951 scopus 로고
    • Spatial variability of field measured soil-water properties
    • Nielsen D. R., Biggar J. W., Erh K. T. Spatial variability of field measured soil-water properties. Hilgardia. 42:1973;215-260.
    • (1973) Hilgardia , vol.42 , pp. 215-260
    • Nielsen, D.R.1    Biggar, J.W.2    Erh, K.T.3
  • 38
  • 41
    • 0029414077 scopus 로고
    • Steady state flow in an unsaturated, two-dimensional, macroscopically homogeneous Miller-similar medium
    • Roth K. Steady state flow in an unsaturated, two-dimensional, macroscopically homogeneous Miller-similar medium. Water Resour. Res. 31:1995;2127-2140.
    • (1995) Water Resour. Res. , vol.31 , pp. 2127-2140
    • Roth, K.1
  • 42
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Rubin Y. Stochastic modeling of macrodispersion in heterogeneous porous media. Water Resour. Res. 26:1990;114-133.
    • (1990) Water Resour. Res. , vol.26 , pp. 114-133
    • Rubin, Y.1
  • 43
    • 0026278280 scopus 로고
    • Stochastic analysis of simulated vadose zone solute transport in a vertical cross section of heterogeneous soils during nonsteady water flow
    • Russo D. Stochastic analysis of simulated vadose zone solute transport in a vertical cross section of heterogeneous soils during nonsteady water flow. Water Resour. Res. 27:1991;267-284.
    • (1991) Water Resour. Res. , vol.27 , pp. 267-284
    • Russo, D.1
  • 44
    • 0027385856 scopus 로고
    • Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation
    • Russo D. Stochastic modeling of macrodispersion for solute transport in a heterogeneous unsaturated porous formation. Water Resour. Res. 29:1993;383-397.
    • (1993) Water Resour. Res. , vol.29 , pp. 383-397
    • Russo, D.1
  • 45
    • 0027867933 scopus 로고
    • Stochastic modeling of solute flux in a heterogeneous partially saturated porous formation
    • Russo D. Stochastic modeling of solute flux in a heterogeneous partially saturated porous formation. Water Resour. Res. 29:1993;1731-1744.
    • (1993) Water Resour. Res. , vol.29 , pp. 1731-1744
    • Russo, D.1
  • 46
    • 0025586179 scopus 로고
    • Stochastic analysis of unsaturated flow: One-dimensional Monte Carlo simulations and comparisons with spectral perturbation analysis and field observations
    • Ünlü K., Nielsen D. R., Biggar J. W. Stochastic analysis of unsaturated flow: one-dimensional Monte Carlo simulations and comparisons with spectral perturbation analysis and field observations. Water Resour. Res. 26:1990;2207-2218.
    • (1990) Water Resour. Res. , vol.26 , pp. 2207-2218
    • Ünlü, K.1    Nielsen, D.R.2    Biggar, J.W.3
  • 47
    • 0019057216 scopus 로고
    • A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
    • Van Genuchten M. Th. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44:1980;892-898.
    • (1980) Soil Sci. Soc. Am. J. , vol.44 , pp. 892-898
    • Van Genuchten M., Th.1
  • 48
    • 0019634908 scopus 로고
    • Spatial variability of field measured infiltration rate
    • Vieira S. R., Nielsen D. R., Biggar J. W. Spatial variability of field measured infiltration rate. Soil Sci. Soc. Am. J. 45:1981;1040-1048.
    • (1981) Soil Sci. Soc. Am. J. , vol.45 , pp. 1040-1048
    • Vieira, S.R.1    Nielsen, D.R.2    Biggar, J.W.3
  • 49
    • 0026497863 scopus 로고
    • On the variability and use of the hydraulic conductivity α parameter in stochastic treatments of unsaturated flow
    • White I., Sully M. J. On the variability and use of the hydraulic conductivity α parameter in stochastic treatments of unsaturated flow. Water Resour. Res. 28:1992;209-213.
    • (1992) Water Resour. Res. , vol.28 , pp. 209-213
    • White, I.1    Sully, M.J.2
  • 51
    • 0026302645 scopus 로고
    • The Las Cruces trench site: Characterization, experimental results, and one-dimensional flow
    • Wierenga P. J., Hills R. G., Hudson D. B. The Las Cruces trench site: characterization, experimental results, and one-dimensional flow. Water Resour. Res. 27:1991;2695-2706.
    • (1991) Water Resour. Res. , vol.27 , pp. 2695-2706
    • Wierenga, P.J.1    Hills, R.G.2    Hudson, D.B.3
  • 52
    • 0344957939 scopus 로고
    • Field observations on changes in the subsurface water regime during influent seepage in the Santa Cruz River
    • Wilson L. G., De Cook K. J. Field observations on changes in the subsurface water regime during influent seepage in the Santa Cruz River. Water Resour. Res. 4:1968;1219-1234.
    • (1968) Water Resour. Res. , vol.4 , pp. 1219-1234
    • Wilson, L.G.1    De Cook, K.J.2
  • 53
    • 0022266398 scopus 로고
    • Stochastic analysis of unsaturated flow in heterogeneous soils, 1: Statistically isotropic media
    • Yeh T.-C. J., Gelhar L. W., Gutjahr A. L. Stochastic analysis of unsaturated flow in heterogeneous soils, 1: statistically isotropic media. Water Resour. Res. 21:1985;447-456.
    • (1985) Water Resour. Res. , vol.21 , pp. 447-456
    • Yeh T.-C., J.1    Gelhar, L.W.2    Gutjahr, A.L.3
  • 54
    • 0022266399 scopus 로고
    • Stochastic analysis of unsaturated flow in heterogeneous soils, 2: Statistically anisotropic media with variable, α
    • Yeh T.-C. J., Gelhar L. W., Gutjahr A. L. Stochastic analysis of unsaturated flow in heterogeneous soils, 2: statistically anisotropic media with variable, α Water Resour. Res. 21:1985;457-464.
    • (1985) Water Resour. Res. , vol.21 , pp. 457-464
    • Yeh T.-C., J.1    Gelhar, L.W.2    Gutjahr, A.L.3
  • 55
    • 0022266404 scopus 로고
    • Stochastic analysis of unsaturated flow in heterogeneous soils, 3: Observations and applications
    • Yeh T.-C. J., Gelhar L. W., Gutjahr A. L. Stochastic analysis of unsaturated flow in heterogeneous soils, 3: observations and applications. Water Resour. Res. 21:1985;465-471.
    • (1985) Water Resour. Res. , vol.21 , pp. 465-471
    • Yeh T.-C., J.1    Gelhar, L.W.2    Gutjahr, A.L.3
  • 56
    • 0024850141 scopus 로고
    • One-dimensional steady state infiltration in heterogeneous soils
    • Yeh T.-C. J. One-dimensional steady state infiltration in heterogeneous soils. Water Resour. Res. 25:1989;2149-2158.
    • (1989) Water Resour. Res. , vol.25 , pp. 2149-2158
    • Yeh T.-C., J.1
  • 57
    • 0344095837 scopus 로고
    • A numerical model for two-dimensional water flow and chemical transport
    • Yeh T.-C. J., Srivastava R., Guzman A., Harter T. A numerical model for two-dimensional water flow and chemical transport. Ground Water. 32:1993;2-11.
    • (1993) Ground Water , vol.32 , pp. 2-11
    • Yeh T.-C., J.1    Srivastava, R.2    Guzman, A.3    Harter, T.4
  • 58
    • 0030497602 scopus 로고    scopus 로고
    • A geostatistical invese method for variably saturated flow in the vadose zone
    • Yeh T.-C. J., Zhang J. A geostatistical invese method for variably saturated flow in the vadose zone. Water Resour. Res. 32:1996;2757-2766.
    • (1996) Water Resour. Res. , vol.32 , pp. 2757-2766
    • Yeh T.-C., J.1    Zhang, J.2
  • 60
    • 0019657187 scopus 로고
    • Surface hydrology, IV. Flow in sloping layered soil
    • Zaslavsky D., Sinai G. Surface hydrology, IV. Flow in sloping layered soil. J. Hydraul. Div. Am. Soc. Civ. Engng. 107(HY1):1981;53-64.
    • (1981) J. Hydraul. Div. Am. Soc. Civ. Engng , vol.107 , Issue.HY1 , pp. 53-64
    • Zaslavsky, D.1    Sinai, G.2


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