메뉴 건너뛰기




Volumn 42, Issue 12, 2006, Pages

Nonstationary flow and nonergodic transport in random porous media

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FLOW OF FLUIDS; FLOW PATTERNS; HYDRAULIC CONDUCTIVITY; MATHEMATICAL MODELS;

EID: 33846600992     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004846     Document Type: Article
Times cited : (8)

References (42)
  • 1
    • 1842685813 scopus 로고    scopus 로고
    • Exact transverse macro dispersion coefficients for transport in heterogeneous porous media
    • Attinger, S., M. Dentz, and W. Kinzelbach (2004), Exact transverse macro dispersion coefficients for transport in heterogeneous porous media, Stochastic Environ. Res. Risk Assess., 18, 9-15.
    • (2004) Stochastic Environ. Res. Risk Assess , vol.18 , pp. 9-15
    • Attinger, S.1    Dentz, M.2    Kinzelbach, W.3
  • 2
    • 14944344639 scopus 로고    scopus 로고
    • Nonstationary stochastic analysis in well capture zone design using first-order Taylor's series approximation
    • doi:10.1029/2004WR003648
    • Bakr, M. I., and A. P. Butler (2005), Nonstationary stochastic analysis in well capture zone design using first-order Taylor's series approximation, Water Resour. Res., 41, W01004, doi:10.1029/2004WR003648.
    • (2005) Water Resour. Res , vol.41
    • Bakr, M.I.1    Butler, A.P.2
  • 3
    • 0027035745 scopus 로고
    • Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations
    • Bellin, A., P. Salandin, and A. Rinaldo (1992), Simulation of dispersion in heterogeneous porous formations: Statistics, first-order theories, convergence of computations, Water Resour. Res., 28(9), 2211-2227.
    • (1992) Water Resour. Res , vol.28 , Issue.9 , pp. 2211-2227
    • Bellin, A.1    Salandin, P.2    Rinaldo, A.3
  • 4
    • 27644539733 scopus 로고    scopus 로고
    • Stochastic finite element method for probabilistic analysis of flow and transport in a three-dimensional heterogeneous porous formation
    • doi: 10.1029/2004WR003844
    • Chaudhuri, A., and M. Sekhar (2005), Stochastic finite element method for probabilistic analysis of flow and transport in a three-dimensional heterogeneous porous formation, Water Resour. Res., 41, W09404, doi: 10.1029/2004WR003844.
    • (2005) Water Resour. Res , vol.41
    • Chaudhuri, A.1    Sekhar, M.2
  • 5
    • 2042497976 scopus 로고    scopus 로고
    • First-order variance of travel time in nonstationary formations
    • doi:10.1029/2003WR002851
    • Cirpka, O. A., and W. Nowak (2004), First-order variance of travel time in nonstationary formations, Water Resour. Res., 40, W03507, doi:10.1029/2003WR002851.
    • (2004) Water Resour. Res , vol.40
    • Cirpka, O.A.1    Nowak, W.2
  • 6
    • 0021470157 scopus 로고
    • Solute transport in heterogeneous porous formations
    • Dagan, G. (1984), Solute transport in heterogeneous porous formations, J. Fluid Mech., 145, 151-177.
    • (1984) J. Fluid Mech , vol.145 , pp. 151-177
    • Dagan, G.1
  • 8
    • 0025586906 scopus 로고
    • Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion
    • Dagan, G. (1990), Transport in heterogeneous porous formations: Spatial moments, ergodicity, and effective dispersion, Water Resour. Res., 26(6), 1281-1290.
    • (1990) Water Resour. Res , vol.26 , Issue.6 , pp. 1281-1290
    • Dagan, G.1
  • 9
    • 0026376829 scopus 로고
    • Dispersion of a passive solute in non-ergodic transport by steady velocity fields in heterogeneous formations
    • Dagan, G. (1991), Dispersion of a passive solute in non-ergodic transport by steady velocity fields in heterogeneous formations, J. Fluid Mech., 233, 197-210.
    • (1991) J. Fluid Mech , vol.233 , pp. 197-210
    • Dagan, G.1
  • 10
    • 80051597859 scopus 로고    scopus 로고
    • An approach to subsurface transport in statistically inhomogeneous velocity fields
    • edited by C. T. Miller et al, pp, Elsevier, New York
    • Darvini, G., and P. Salandin (2004), An approach to subsurface transport in statistically inhomogeneous velocity fields, in Computational Methods in Water Resources, vol. 1, edited by C. T. Miller et al., pp. 743-754, Elsevier, New York.
    • (2004) Computational Methods in Water Resources , vol.1 , pp. 743-754
    • Darvini, G.1    Salandin, P.2
  • 11
    • 0031899097 scopus 로고    scopus 로고
    • Correlation structure of flow variables for steady flow toward a well with application to highly anisotropic heterogeneous formations
    • Fiori, A., P. Indelman, and G. Dagan (1998), Correlation structure of flow variables for steady flow toward a well with application to highly anisotropic heterogeneous formations, Water Resour. Res., 34(4), 699-708.
    • (1998) Water Resour. Res , vol.34 , Issue.4 , pp. 699-708
    • Fiori, A.1    Indelman, P.2    Dagan, G.3
  • 12
    • 0032826156 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly non-uniform domains: 1. Theory and computational approach
    • Guadagnini, A., and S. P. Neumann (1999a), Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly non-uniform domains: 1. Theory and computational approach, Water Resour. Res., 35(10), 2999-3018.
    • (1999) Water Resour. Res , vol.35 , Issue.10 , pp. 2999-3018
    • Guadagnini, A.1    Neumann, S.P.2
  • 13
    • 0032872539 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly non-uniform domains: 2. Computational examples
    • Guadagnini, A., and S. P. Neumann (1999b), Nonlocal and localized analyses of conditional mean steady state flow in bounded, randomly non-uniform domains: 2. Computational examples, Water Resour. Res., 35(10), 3019-3039.
    • (1999) Water Resour. Res , vol.35 , Issue.10 , pp. 3019-3039
    • Guadagnini, A.1    Neumann, S.P.2
  • 14
    • 0035065935 scopus 로고    scopus 로고
    • Recursive conditional moment equations for advective transport in randomly heterogeneous velocity fields
    • Guadagnini, A., and S. P. Neumann (2001), Recursive conditional moment equations for advective transport in randomly heterogeneous velocity fields, Transp. Porous Media, 42, 37-67.
    • (2001) Transp. Porous Media , vol.42 , pp. 37-67
    • Guadagnini, A.1    Neumann, S.P.2
  • 15
    • 2942752454 scopus 로고    scopus 로고
    • Probabilistic reconstruction of geologic facies
    • Guadagnini, L., A. Guadagnini, and D. M. Tartakovsky (2004), Probabilistic reconstruction of geologic facies, J. Hydrol., 294, 57-67.
    • (2004) J. Hydrol , vol.294 , pp. 57-67
    • Guadagnini, L.1    Guadagnini, A.2    Tartakovsky, D.M.3
  • 16
    • 0031148476 scopus 로고    scopus 로고
    • Stochastic finite element modelling in linear transient heat transfer
    • Hien, T. D., and M. Kleiber (1997), Stochastic finite element modelling in linear transient heat transfer, Comput. Methods Appl. Mech. Eng., 144, 111-124.
    • (1997) Comput. Methods Appl. Mech. Eng , vol.144 , pp. 111-124
    • Hien, T.D.1    Kleiber, M.2
  • 17
    • 0029413084 scopus 로고
    • Flow in heterogeneous media displaying a linear trend in the log conductivity
    • Indelman, P., and Y. Rubin (1995), Flow in heterogeneous media displaying a linear trend in the log conductivity, Water Resour. Res., 31(5), 1257-1265.
    • (1995) Water Resour. Res , vol.31 , Issue.5 , pp. 1257-1265
    • Indelman, P.1    Rubin, Y.2
  • 18
    • 0029656859 scopus 로고    scopus 로고
    • Solute transport in nonstationary velocity fields
    • Indelman, P., and Y. Rubin (1996), Solute transport in nonstationary velocity fields, Water Resour. Res., 32(5), 1259-1267.
    • (1996) Water Resour. Res , vol.32 , Issue.5 , pp. 1259-1267
    • Indelman, P.1    Rubin, Y.2
  • 20
    • 0034307590 scopus 로고    scopus 로고
    • A note on the influence of a constant velocity boundary condition on flow and transport in heterogeneous formations
    • Lessoff, S. C., P. Indelman, and G. Dagan (2000), A note on the influence of a constant velocity boundary condition on flow and transport in heterogeneous formations, Water Resour. Res., 30(10), 3095-3101.
    • (2000) Water Resour. Res , vol.30 , Issue.10 , pp. 3095-3101
    • Lessoff, S.C.1    Indelman, P.2    Dagan, G.3
  • 21
    • 0141644201 scopus 로고    scopus 로고
    • Solute spreading in nonstationary flows in bounded, heterogeneous unsaturated-saturated media
    • doi:10.1029/2001WR000908
    • Lu, Z., and D. Zhang (2003), Solute spreading in nonstationary flows in bounded, heterogeneous unsaturated-saturated media, Water Resour. Res., 39(3), 1049, doi:10.1029/2001WR000908.
    • (2003) Water Resour. Res , vol.39 , Issue.3 , pp. 1049
    • Lu, Z.1    Zhang, D.2
  • 22
    • 33746357914 scopus 로고    scopus 로고
    • Non-local and localized analyses of non-reactive solute transport in bounded randomly heterogeneous porous media: Theoretical framework
    • Morales-Casique, E., S. P. Neuman, and A. Guadagnini (2006a), Non-local and localized analyses of non-reactive solute transport in bounded randomly heterogeneous porous media: Theoretical framework, Adv. Water Resour., 29(8), 1238-1255.
    • (2006) Adv. Water Resour , vol.29 , Issue.8 , pp. 1238-1255
    • Morales-Casique, E.1    Neuman, S.P.2    Guadagnini, A.3
  • 23
    • 33746612848 scopus 로고    scopus 로고
    • Nonlocal and localized analyses of nonreactive solute transport in bounded randomly heterogeneous porous media: Computational analysis
    • Morales-Casique, E., S. P. Neuman, and A. Guadagnini (2006b), Nonlocal and localized analyses of nonreactive solute transport in bounded randomly heterogeneous porous media: Computational analysis, Adv. Water Resour., 29(9), 1399-1418.
    • (2006) Adv. Water Resour , vol.29 , Issue.9 , pp. 1399-1418
    • Morales-Casique, E.1    Neuman, S.P.2    Guadagnini, A.3
  • 24
    • 0029504303 scopus 로고
    • Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers
    • Osnes, H. (1995), Stochastic analysis of head spatial variability in bounded rectangular heterogeneous aquifers, Water Resour. Res., 31(12), 2981-2990.
    • (1995) Water Resour. Res , vol.31 , Issue.12 , pp. 2981-2990
    • Osnes, H.1
  • 25
    • 0032033825 scopus 로고    scopus 로고
    • Stochastic analysis of velocity spatial variability in bounded rectangular heterogeneous aquifers
    • Osnes, H. (1998), Stochastic analysis of velocity spatial variability in bounded rectangular heterogeneous aquifers, Adv. Water Resour., 21(3), 203-215.
    • (1998) Adv. Water Resour , vol.21 , Issue.3 , pp. 203-215
    • Osnes, H.1
  • 26
    • 0032558881 scopus 로고    scopus 로고
    • An efficient probabilistic finite element method for stochastic groundwater flow
    • Osnes, H., and H. P. Langtangen (1998), An efficient probabilistic finite element method for stochastic groundwater flow, Adv. Water Resour., 22(2), 185-195.
    • (1998) Adv. Water Resour , vol.22 , Issue.2 , pp. 185-195
    • Osnes, H.1    Langtangen, H.P.2
  • 28
    • 0346396675 scopus 로고
    • Dispersion by random velocity fields
    • Phythian, R. (1975), Dispersion by random velocity fields, J. Fluid Mech., 67, 145-153.
    • (1975) J. Fluid Mech , vol.67 , pp. 145-153
    • Phythian, R.1
  • 29
    • 0027060213 scopus 로고
    • Field study of dispersion in a heterogeneous aquifer: 3. Geostatistical analysis of hydraulic conductivity
    • Rehfeldt, K. R., J. M. Boggs, and L. W. Gelhar (1992), Field study of dispersion in a heterogeneous aquifer: 3. Geostatistical analysis of hydraulic conductivity, Water Resour. Res., 28(12), 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
  • 30
    • 0025206016 scopus 로고
    • Stochastic modeling of macrodispersion in heterogeneous porous media
    • Rubin, Y. (1990), Stochastic modeling of macrodispersion in heterogeneous porous media, Water Resour. Res., 26(1), 133-141.
    • (1990) Water Resour. Res , vol.26 , Issue.1 , pp. 133-141
    • Rubin, Y.1
  • 31
    • 0026292242 scopus 로고
    • Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities
    • Rubin, Y. (1991), Prediction of tracer plume migration in disordered porous media by the method of conditional probabilities, Water Resour. Res., 27(6), 1291-1308.
    • (1991) Water Resour. Res , vol.27 , Issue.6 , pp. 1291-1308
    • Rubin, Y.1
  • 32
    • 0028667210 scopus 로고
    • The effects of recharge on flow nonuniformity and macrodispersion
    • Rubin, Y., and A. Bellin (1994), The effects of recharge on flow nonuniformity and macrodispersion, Water Resour. Res., 30(4), 939-948.
    • (1994) Water Resour. Res , vol.30 , Issue.4 , pp. 939-948
    • Rubin, Y.1    Bellin, A.2
  • 33
    • 0024192343 scopus 로고
    • Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 1. Constant head boundary
    • Rubin, Y., and G. Dagan (1988), Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 1. Constant head boundary, Water Resour. Res., 24(10), 1689-1697.
    • (1988) Water Resour. Res , vol.24 , Issue.10 , pp. 1689-1697
    • Rubin, Y.1    Dagan, G.2
  • 34
    • 0024567327 scopus 로고
    • Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 2. Impervious boundary
    • Rubin, Y., and G. Dagan (1989), Stochastic analysis of boundaries effects on head spatial variability in heterogeneous aquifers: 2. Impervious boundary, Water Resour. Res., 25(4), 707-712.
    • (1989) Water Resour. Res , vol.25 , Issue.4 , pp. 707-712
    • Rubin, Y.1    Dagan, G.2
  • 35
    • 0031961250 scopus 로고    scopus 로고
    • Solute transport in highly heterogeneous aquifers
    • Salandin, P., and V. Fiorotto (1998), Solute transport in highly heterogeneous aquifers, Water Resour. Res., 34(5), 949-961.
    • (1998) Water Resour. Res , vol.34 , Issue.5 , pp. 949-961
    • Salandin, P.1    Fiorotto, V.2
  • 36
    • 0031982617 scopus 로고    scopus 로고
    • Transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations
    • Tartakovsky, D. M., and S. P. Neuman (1998), Transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations, Water Resour. Res., 34(1), 1-12.
    • (1998) Water Resour. Res , vol.34 , Issue.1 , pp. 1-12
    • Tartakovsky, D.M.1    Neuman, S.P.2
  • 37
    • 0032979759 scopus 로고    scopus 로고
    • Extension of transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations
    • Tartakovsky, D. M., and S. P. Neuman (1999), Extension of transient flow in bounded randomly heterogeneous domains: 1. Exact conditional moment equations and recursive approximations, Water Resour. Res., 35(6), 1921-1925.
    • (1999) Water Resour. Res , vol.35 , Issue.6 , pp. 1921-1925
    • Tartakovsky, D.M.1    Neuman, S.P.2
  • 38
    • 0037223311 scopus 로고    scopus 로고
    • Moment differential equations for flow in highly heterogeneous porous media
    • Winter, C. L., D. M. Tartakovsky, and A. Guadagnini (2003), Moment differential equations for flow in highly heterogeneous porous media, Surv. Geophys., 24(1), 81-106.
    • (2003) Surv. Geophys , vol.24 , Issue.1 , pp. 81-106
    • Winter, C.L.1    Tartakovsky, D.M.2    Guadagnini, A.3
  • 39
    • 0031931834 scopus 로고    scopus 로고
    • Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media
    • Zhang, D. (1998), Numerical solutions to statistical moment equations of groundwater flow in nonstationary, bounded, heterogeneous media, Water Resour. Res., 34(3), 529-538.
    • (1998) Water Resour. Res , vol.34 , Issue.3 , pp. 529-538
    • Zhang, D.1
  • 40
    • 0032687453 scopus 로고    scopus 로고
    • Moment-equation approach to single phase fluid flow in heterogeneous reservoirs
    • Zhang, D., and C. L. Winter (1999), Moment-equation approach to single phase fluid flow in heterogeneous reservoirs, SPEJ Soc. Pet. Eng. J, 4(2), 118-127.
    • (1999) SPEJ Soc. Pet. Eng. J , vol.4 , Issue.2 , pp. 118-127
    • Zhang, D.1    Winter, C.L.2
  • 41
    • 0033864106 scopus 로고    scopus 로고
    • Solute flux approach to transport through spatially nonstationary flow in porous media
    • Zhang, D., R. Andricevic, Y. S. Alexander, X. Hu, and G. He (2000), Solute flux approach to transport through spatially nonstationary flow in porous media, Water Resour. Res., 30(8), 2107-2120.
    • (2000) Water Resour. Res , vol.30 , Issue.8 , pp. 2107-2120
    • Zhang, D.1    Andricevic, R.2    Alexander, Y.S.3    Hu, X.4    He, G.5
  • 42
    • 0030429629 scopus 로고    scopus 로고
    • Nonergodic solute transport in three-dimensional heterogeneous isotropic aquifers
    • Zhang, Y. K., D. Zhang, and J. Lin (1996), Nonergodic solute transport in three-dimensional heterogeneous isotropic aquifers, Water Resour. Res., 32(9), 2955-2963.
    • (1996) Water Resour. Res , vol.32 , Issue.9 , pp. 2955-2963
    • Zhang, Y.K.1    Zhang, D.2    Lin, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.