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Volumn 27, Issue 6, 2004, Pages 657-667

Analytical solutions of one-dimensional macrodispersion in stratified porous media by the quadrupole method: Convergence to an equivalent homogeneous porous medium

Author keywords

Boundary conditions; Equivalent transport properties; Laplace transform; Periodic medium

Indexed keywords

BOUNDARY CONDITIONS; DISPERSIONS; FLOW OF FLUIDS; LAPLACE TRANSFORMS; LINEAR SYSTEMS; POROUS MATERIALS;

EID: 2442707818     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2004.02.022     Document Type: Article
Times cited : (15)

References (36)
  • 1
    • 2442637142 scopus 로고
    • Dispersion in stratified porous media
    • Al-Niami A.N.S. Rushton K.R. Dispersion in stratified porous media Water Resour. Res. 15 3 1979 1044-1048
    • (1979) Water Resour. Res. , vol.15 , Issue.3 , pp. 1044-1048
    • Al-Niami, A.N.S.1    Rushton, K.R.2
  • 2
    • 0032216198 scopus 로고    scopus 로고
    • A new way of solving transient radiative-conductive heat transfer problems
    • André S. Degiovanni A. A new way of solving transient radiative-conductive heat transfer problems J. Heat Transfer 120 1998 943-955
    • (1998) J. Heat Transfer , vol.120 , pp. 943-955
    • André, S.1    Degiovanni, A.2
  • 3
    • 0023285521 scopus 로고
    • Approximations to solute transport in porous media with flow transverse to layering
    • Barry D.A. Parker J.C. Approximations to solute transport in porous media with flow transverse to layering Transport Porous Med. 2 1 1987 65-82
    • (1987) Transport Porous Med. , vol.2 , Issue.1 , pp. 65-82
    • Barry, D.A.1    Parker, J.C.2
  • 4
    • 0023823594 scopus 로고
    • Application of the convection-dispersion model to solute transport in finite soil columns
    • Barry D.A. Sposito G. Application of the convection-dispersion model to solute transport in finite soil columns Soil Sci. Soc. Am. J. 52 1 1988 3-9
    • (1988) Soil Sci. Soc. Am. J. , vol.52 , Issue.1 , pp. 3-9
    • Barry, D.A.1    Sposito, G.2
  • 5
    • 0033503705 scopus 로고    scopus 로고
    • A semi-analytical approach for productivity evaluation of complex wells in multilayered reservoirs
    • Basquet R. Alabert G. Caltagirone J.P. Batsale J.C. A semi-analytical approach for productivity evaluation of complex wells in multilayered reservoirs Eval. Eng., Soc. Petroleum Engr. 2 6 1999 506-513
    • (1999) Eval. Eng., Soc. Petroleum Engr. , vol.2 , Issue.6 , pp. 506-513
    • Basquet, R.1    Alabert, G.2    Caltagirone, J.P.3    Batsale, J.C.4
  • 6
    • 0024849895 scopus 로고
    • Generalized two-dimensional analytical solution for hydrodynamic dispersion in bounded media with the first-type boundary condition at the source
    • Batu V.A. Generalized two-dimensional analytical solution for hydrodynamic dispersion in bounded media with the first-type boundary condition at the source Water Resour. Res. 25 6 1989 1125-1132
    • (1989) Water Resour. Res. , vol.25 , Issue.6 , pp. 1125-1132
    • Batu, V.A.1
  • 8
    • 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
  • 9
    • 0023981816 scopus 로고
    • Conduction dans un mur multicouches avec sources: Extension de la notion de quadripôles
    • Degiovanni A. Conduction dans un mur multicouches avec sources: extension de la notion de quadripôles Int. J. Heat Mass Transfer 31 3 1988 553-557
    • (1988) Int. J. Heat Mass Transfer , vol.31 , Issue.3 , pp. 553-557
    • Degiovanni, A.1
  • 10
    • 0030618872 scopus 로고    scopus 로고
    • Predicting solute transport in heterogeneous media from results obtained in homogeneous ones: An experimental approach
    • Delay F. Porel G. De Marsily G. Predicting solute transport in heterogeneous media from results obtained in homogeneous ones: An experimental approach J. Contam. Hydrol. 25 1997 63-84
    • (1997) J. Contam. Hydrol. , vol.25 , pp. 63-84
    • Delay, F.1    Porel, G.2    De Marsily, G.3
  • 11
    • 0027802274 scopus 로고
    • Three-dimensional analytical solution to the advection-dispersion equation in arbitrary cartesian coordinates
    • Ellsworth T.R. Butters G.L. Three-dimensional analytical solution to the advection-dispersion equation in arbitrary cartesian coordinates Water Resour. Res. 1993 3215-3226
    • (1993) Water Resour. Res. , pp. 3215-3226
    • Ellsworth, T.R.1    Butters, G.L.2
  • 13
    • 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
  • 15
    • 84958442006 scopus 로고
    • Longitudinal and lateral dispersion in an isotropic porous medium
    • Harleman D.R.F. Rumer R.R. Longitudinal and lateral dispersion in an isotropic porous medium J. Fluid Mech. 16 1963 385-394
    • (1963) J. Fluid Mech. , vol.16 , pp. 385-394
    • Harleman, D.R.F.1    Rumer, R.R.2
  • 17
    • 0030294929 scopus 로고    scopus 로고
    • Experimental investigation of characteristic length scale in periodic heterogeneous porous media
    • Irwin N.C. Botz M.M. Greenkorn R.A. Experimental investigation of characteristic length scale in periodic heterogeneous porous media Transport Porous Med. 25 1996 235-246
    • (1996) Transport Porous Med. , vol.25 , pp. 235-246
    • Irwin, N.C.1    Botz, M.M.2    Greenkorn, R.A.3
  • 18
    • 0018152441 scopus 로고
    • On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions
    • Kreft A. Zuber A. On the physical meaning of the dispersion equation and its solutions for different initial and boundary conditions Chem. Engng. Sci. 33 1978 1471-1480
    • (1978) Chem. Engng. Sci. , vol.33 , pp. 1471-1480
    • Kreft, A.1    Zuber, A.2
  • 19
    • 0025679888 scopus 로고
    • Analytical solution of the one-dimensional advection equation and two- or three-dimensional dispersion equation
    • Leij F.J. Dane J.H. Analytical solution of the one-dimensional advection equation and two- or three-dimensional dispersion equation Water Resour. Res. 26 7 1990 1475-1482
    • (1990) Water Resour. Res. , vol.26 , Issue.7 , pp. 1475-1482
    • Leij, F.J.1    Dane, J.H.2
  • 20
    • 0029413058 scopus 로고
    • Approximate analytical solutions for solute transport in two-layer porous media
    • Leij F.J. Van Genuchten M.Th. Approximate analytical solutions for solute transport in two-layer porous media Transport Porous Med. 18 1995 65-85
    • (1995) Transport Porous Med. , vol.18 , pp. 65-85
    • Leij, F.J.1    Van Genuchten, M.Th.2
  • 21
    • 0031831583 scopus 로고    scopus 로고
    • An analytical solution to the one-dimensional solute advection-dispersion equation in multi-layer porous media
    • Liu C. Ball W.P. Ellis J.H. An analytical solution to the one-dimensional solute advection-dispersion equation in multi-layer porous media Transport Porous Med. 30 1998 25-43
    • (1998) Transport Porous Med. , vol.30 , pp. 25-43
    • Liu, C.1    Ball, W.P.2    Ellis, J.H.3
  • 22
    • 0343527340 scopus 로고    scopus 로고
    • Use of the generalized integral transform for solving transport in porous media
    • Liu C. Szecsody J.E. Zachara J.M. Ball W.P. Use of the generalized integral transform for solving transport in porous media Adv. Water Res. 23 2000 483-492
    • (2000) Adv. Water Res. , vol.23 , pp. 483-492
    • Liu, C.1    Szecsody, J.E.2    Zachara, J.M.3    Ball, W.P.4
  • 25
    • 0025474361 scopus 로고
    • Universal scaling of hydralic conductivities and dispersivities in geologic media
    • Neuman S.P. Universal scaling of hydralic conductivities and dispersivities in geologic media Water Resour. Res. 26 8 1990 1749-1758
    • (1990) Water Resour. Res. , vol.26 , Issue.8 , pp. 1749-1758
    • Neuman, S.P.1
  • 26
    • 0021640848 scopus 로고
    • Flux-averaged and volume-average concentrations in continuum approaches to solute transport
    • Parker J.C. Van Genuchten M.Th. Flux-averaged and volume-average concentrations in continuum approaches to solute transport Water Resour. Res. 20 7 1984 866-872
    • (1984) Water Resour. Res. , vol.20 , Issue.7 , pp. 866-872
    • Parker, J.C.1    Van Genuchten, M.Th.2
  • 28
    • 0035392056 scopus 로고    scopus 로고
    • Dispersion in heterogeneous porous media: One equation non-equilibrium model
    • Quintard M. Cherblanc F. Whitaker S. Dispersion in heterogeneous porous media: One equation non-equilibrium model Transport Porous Med. 44 1 2001 181-203
    • (2001) Transport Porous Med. , vol.44 , Issue.1 , pp. 181-203
    • Quintard, M.1    Cherblanc, F.2    Whitaker, S.3
  • 30
    • 0028668832 scopus 로고
    • An experimental investigation of dispersion in layered porous media
    • Sternberg S.P.K. Greenkorn R.A. An experimental investigation of dispersion in layered porous media Transport Porous Med. 15 1994 15-30
    • (1994) Transport Porous Med. , vol.15 , pp. 15-30
    • Sternberg, S.P.K.1    Greenkorn, R.A.2
  • 32
    • 0032423636 scopus 로고    scopus 로고
    • Solute transport in an heterogeneous soil for boundary and initial conditions: Evaluation of first-order approximations
    • Vanderborght J. Mallants D. Feyen J. Solute transport in an heterogeneous soil for boundary and initial conditions: Evaluation of first-order approximations Water Resour. Res. 34 1998 3255-3270
    • (1998) Water Resour. Res. , vol.34 , pp. 3255-3270
    • Vanderborght, J.1    Mallants, D.2    Feyen, J.3
  • 35
    • 0642376526 scopus 로고
    • Heat and mass transfer in packed beds
    • Gordon and Breach Science Publishers
    • Wakao N. Kaguei S. Heat and mass transfer in packed beds Topic in Chemical Engineering 1982 Gordon and Breach Science Publishers
    • (1982) Topic in Chemical Engineering
    • Wakao, N.1    Kaguei, S.2
  • 36
    • 0025627771 scopus 로고
    • An analytical solution for one-dimensional transport in heterogeneous porous media
    • Yates S.R. An analytical solution for one-dimensional transport in heterogeneous porous media Water Resour. Res. 26 10 1990 2331-2338
    • (1990) Water Resour. Res. , vol.26 , Issue.10 , pp. 2331-2338
    • Yates, S.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.