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Volumn 5, Issue 3, 2006, Pages 963-977

Effective parameter functions for the Richards equation in layered porous media

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY PRESSURE; GRAVITY FLOW; PERMEABILITY; POROUS MEDIUM; PRESSURE GRADIENT; RICHARDS EQUATION; UPSCALING; VADOSE ZONE; WATER FLOW;

EID: 34247636478     PISSN: None     EISSN: 15391663     Source Type: Journal    
DOI: 10.2136/vzj2005.0127     Document Type: Article
Times cited : (18)

References (32)
  • 1
    • 0032446093 scopus 로고    scopus 로고
    • Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects
    • Bourgeat, A., and M. Panfilov. 1998. Effective two-phase flow through highly heterogeneous porous media: Capillary nonequilibrium effects. Comput. Geosci. 2:191-215.
    • (1998) Comput. Geosci , vol.2 , pp. 191-215
    • Bourgeat, A.1    Panfilov, M.2
  • 2
    • 0002061933 scopus 로고
    • Properties of porous media affecting fluid flow
    • Brooks, R.H., and A.T. Corey. 1966. Properties of porous media affecting fluid flow. Soil Sci. Soc. Am. J. 39:61-88.
    • (1966) Soil Sci. Soc. Am. J , vol.39 , pp. 61-88
    • Brooks, R.H.1    Corey, A.T.2
  • 3
    • 0031104610 scopus 로고    scopus 로고
    • Effective relative permeabilities and capillary pressure for one-dimensional heterogeneous media
    • Dale, M., S. Ekrann, J. Mykkeltveit, and G. Virnovsky. 1997. Effective relative permeabilities and capillary pressure for one-dimensional heterogeneous media. Transp. Porous Media 26:229-260.
    • (1997) Transp. Porous Media , vol.26 , pp. 229-260
    • Dale, M.1    Ekrann, S.2    Mykkeltveit, J.3    Virnovsky, G.4
  • 4
    • 33845514960 scopus 로고
    • Some steady state solutions of unsaturated moisture flow equations with application to evaporation from the water table
    • Gardner, W.R. 1958. Some steady state solutions of unsaturated moisture flow equations with application to evaporation from the water table. Soil Sci. 85:228-232.
    • (1958) Soil Sci , vol.85 , pp. 228-232
    • Gardner, W.R.1
  • 6
    • 83455218430 scopus 로고    scopus 로고
    • Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. Available at www.vadosezonejournal.org
    • Hassanizadeh, S.M., M.A. Celia, and H.K. Dahle. 2002. Dynamic effect in the capillary pressure-saturation relationship and its impacts on unsaturated flow. Available at www.vadosezonejournal.org. Vadose Zone J. 1:38-57.
    • (2002) Vadose Zone J , vol.1 , pp. 38-57
    • Hassanizadeh, S.M.1    Celia, M.A.2    Dahle, H.K.3
  • 8
    • 0027009446 scopus 로고
    • The use of macroscopic percolation theory to construct large-scale capillary pressure curves
    • Kueper, B.H., and D.B. McWorther. 1992. The use of macroscopic percolation theory to construct large-scale capillary pressure curves. Water Resour. Res. 28:2425-2436.
    • (1992) Water Resour. Res , vol.28 , pp. 2425-2436
    • Kueper, B.H.1    McWorther, D.B.2
  • 9
    • 0035577403 scopus 로고    scopus 로고
    • Moisture transfer in an unsaturated heterogeneous porous medium
    • Lewandowska, J., and J.-P. Laurent. 2001. Moisture transfer in an unsaturated heterogeneous porous medium. Transp. Porous Media 45:321-345.
    • (2001) Transp. Porous Media , vol.45 , pp. 321-345
    • Lewandowska, J.1    Laurent, J.-P.2
  • 10
    • 1842661791 scopus 로고    scopus 로고
    • Modeling of unsaturated water flow in double-porosity soils by the homogenization approach
    • Lewandowska, J., A. Szymkiewicz, K. Burzynski, and M. Vauclin. 2004. Modeling of unsaturated water flow in double-porosity soils by the homogenization approach. Adv. Water Resour. 27:283-296.
    • (2004) Adv. Water Resour , vol.27 , pp. 283-296
    • Lewandowska, J.1    Szymkiewicz, A.2    Burzynski, K.3    Vauclin, M.4
  • 11
    • 4344680252 scopus 로고    scopus 로고
    • Analytical solutions to steady state unsaturated flow in layered, randomly heterogeneous soils via Kirchhoff transformation
    • Lu, Z.M., and D.X. Zhang. 2004. Analytical solutions to steady state unsaturated flow in layered, randomly heterogeneous soils via Kirchhoff transformation. Adv. Water Resour. 27:775-784.
    • (2004) Adv. Water Resour , vol.27 , pp. 775-784
    • Lu, Z.M.1    Zhang, D.X.2
  • 12
    • 0036822949 scopus 로고    scopus 로고
    • Macrodispersivity for transport in arbitrary nonuniform flow fields: A sumptotic and preasymptotic results
    • doi:10.1029/2001WR001203
    • Lunati, I., S. Attinger, and W. Kinzelbach. 2002. Macrodispersivity for transport in arbitrary nonuniform flow fields: A sumptotic and preasymptotic results. Water Resour. Res. 38(10):1187. doi:10.1029/2001WR001203.
    • (2002) Water Resour. Res , vol.38 , Issue.10 , pp. 1187
    • Lunati, I.1    Attinger, S.2    Kinzelbach, W.3
  • 13
    • 0023524189 scopus 로고
    • Effective hydraulic conductivities of transient unsaturated flow in stratified soils
    • Mantoglou, A., and L.W. Gelhar. 1987. Effective hydraulic conductivities of transient unsaturated flow in stratified soils. Water Resour. Res. 23:57-67.
    • (1987) Water Resour. Res , vol.23 , pp. 57-67
    • Mantoglou, A.1    Gelhar, L.W.2
  • 14
    • 0008508050 scopus 로고
    • Dispersion, convection and reaction in porous media
    • Mauri, R. 1991. Dispersion, convection and reaction in porous media. Phys. Fluids A. 3:743-756.
    • (1991) Phys. Fluids A , vol.3 , pp. 743-756
    • Mauri, R.1
  • 15
    • 1442330338 scopus 로고    scopus 로고
    • Heat and mass transport in nonhomogeneous random velocity fields
    • doi:10.1103/PhysRevE.68.066306
    • Mauri, R. 2003. Heat and mass transport in nonhomogeneous random velocity fields. Phys. Rev. E. 68:066306. doi:10.1103/PhysRevE.68.066306.
    • (2003) Phys. Rev. E , vol.68 , pp. 066306
    • Mauri, R.1
  • 16
    • 36849140704 scopus 로고
    • Physical theory for capillary flow phenomena
    • Miller, E.E., and R.D. Miller. 1956. Physical theory for capillary flow phenomena. J. Appl. Phys. 27:324-332.
    • (1956) J. Appl. Phys , vol.27 , pp. 324-332
    • Miller, E.E.1    Miller, R.D.2
  • 17
    • 15444367652 scopus 로고    scopus 로고
    • Homogenization of Richards equation in permeability fields with different connectivities
    • doi:10.1029/2004WR003329
    • Neuweiler, I., and O.A. Cirpka. 2005. Homogenization of Richards equation in permeability fields with different connectivities. Water Resour. Res. 41:W02009. doi:10.1029/2004WR003329.
    • (2005) Water Resour. Res , vol.41
    • Neuweiler, I.1    Cirpka, O.A.2
  • 18
    • 0030361887 scopus 로고    scopus 로고
    • The scaleup of two-phase flow in porous media using phase permeability tensors
    • Pickup, G.E., and K.S. Sorbie. 1996. The scaleup of two-phase flow in porous media using phase permeability tensors. SPE J.: 369-381.
    • (1996) SPE J , pp. 369-381
    • Pickup, G.E.1    Sorbie, K.S.2
  • 19
    • 0033813694 scopus 로고    scopus 로고
    • An assessment of steady-state scale-up for small-scale geological models
    • Pickup, G.E., and K.D. Stephen. 2000. An assessment of steady-state scale-up for small-scale geological models. Pet. Geosci. 6:203-210.
    • (2000) Pet. Geosci , vol.6 , pp. 203-210
    • Pickup, G.E.1    Stephen, K.D.2
  • 21
    • 0041734173 scopus 로고    scopus 로고
    • Numerical analysis of one-dimensional unsaturated flow in layered soils
    • Romano, N., B. Brunone, and A. Santini. 1998. Numerical analysis of one-dimensional unsaturated flow in layered soils. Adv. Water Resour. 21:315-324.
    • (1998) Adv. Water Resour , vol.21 , pp. 315-324
    • Romano, N.1    Brunone, B.2    Santini, A.3
  • 22
    • 0023794195 scopus 로고
    • Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties
    • Russo, D. 1988. Determining soil hydraulic properties by parameter estimation: On the selection of a model for the hydraulic properties. Water Resour. Res. 24:453-459.
    • (1988) Water Resour. Res , vol.24 , pp. 453-459
    • Russo, D.1
  • 23
    • 1242340760 scopus 로고    scopus 로고
    • Upscaled conductivity in gravity-dominated flow-through variably saturated heterogeneous formations
    • doi:10.1029/2002WR001857
    • Russo, D. 2003. Upscaled conductivity in gravity-dominated flow-through variably saturated heterogeneous formations. Water Resour. Res. 39:1255 doi:10.1029/2002WR001857.
    • (2003) Water Resour. Res , vol.39 , pp. 1255
    • Russo, D.1
  • 24
    • 33845307580 scopus 로고    scopus 로고
    • Unified macroscopic model for unsaturated water flow in soils of bimodal porosity
    • in press
    • Szymkiewicz, A., and J. Lewandoska. 2006. Unified macroscopic model for unsaturated water flow in soils of bimodal porosity. Hydrol. Sci. J. (in press).
    • (2006) Hydrol. Sci. J
    • Szymkiewicz, A.1    Lewandoska, J.2
  • 25
    • 0002345146 scopus 로고
    • The influence of small-scale heterogeneity on average relative permeability
    • Academic Press, New York
    • Smith, E.H. 1991. The influence of small-scale heterogeneity on average relative permeability. p. 52-76. In Reservoir characterization II. Academic Press, New York.
    • (1991) Reservoir characterization II , pp. 52-76
    • Smith, E.H.1
  • 26
    • 0025536806 scopus 로고    scopus 로고
    • Sposito, G., and W.A. Jury. 1990. Miller similitude and generalized scaling analysis. p. 13-22. In D. Hillel and D.E. Elrick (ed.) Scaling in soil physics: Principles and applications. SSSA Spec. Publ. 25. SSSA, Madison, WI.
    • Sposito, G., and W.A. Jury. 1990. Miller similitude and generalized scaling analysis. p. 13-22. In D. Hillel and D.E. Elrick (ed.) Scaling in soil physics: Principles and applications. SSSA Spec. Publ. 25. SSSA, Madison, WI.
  • 27
    • 0026267696 scopus 로고
    • Analytical solutions for one-dimensional, transient infiltration toward the water-table in homogeneous and layered soils
    • Srivastava, R., and T.C.J. Yeh. 1991. Analytical solutions for one-dimensional, transient infiltration toward the water-table in homogeneous and layered soils. Water Resour. Res. 27:753-762.
    • (1991) Water Resour. Res , vol.27 , pp. 753-762
    • Srivastava, R.1    Yeh, T.C.J.2
  • 28
    • 0033106228 scopus 로고    scopus 로고
    • Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation
    • Tartakovsky, D.M., S.P. Neuman, and Z. Lu. 1999. Conditional stochastic averaging of steady state unsaturated flow by means of Kirchhoff transformation. Water Resour. Res. 35:731-745.
    • (1999) Water Resour. Res , vol.35 , pp. 731-745
    • Tartakovsky, D.M.1    Neuman, S.P.2    Lu, Z.3
  • 29
    • 0036588730 scopus 로고    scopus 로고
    • Effective equations for two-phase flow with trapping on the micro scale
    • Van Duijn, C.J., A. Mikelic, and I.S. Pop. 2002. Effective equations for two-phase flow with trapping on the micro scale. SIAM J. Appl. Math. 62:1531-1568.
    • (2002) SIAM J. Appl. Math , vol.62 , pp. 1531-1568
    • Van Duijn, C.J.1    Mikelic, A.2    Pop, I.S.3
  • 30
    • 0022266398 scopus 로고
    • Stochastic analysis of unsaturated flow in heterogeneous soils. 1. Statistically isotropic media
    • Yeh, T.-C., L.W. Gelhar, and A.L. Gutjahr. 1985. Stochastic analysis of unsaturated flow in heterogeneous soils. 1. Statistically isotropic media. Water Resour. Res. 21:457-464.
    • (1985) Water Resour. Res , vol.21 , pp. 457-464
    • Yeh, T.-C.1    Gelhar, L.W.2    Gutjahr, A.L.3
  • 31
    • 0032634748 scopus 로고    scopus 로고
    • Nonstationary stochastic analysis of transient unsaturated flow in randomly heterogeneous media
    • Zhang, D. 1999. Nonstationary stochastic analysis of transient unsaturated flow in randomly heterogeneous media. Water Resour. Res. 35:1127-1141.
    • (1999) Water Resour. Res , vol.35 , pp. 1127-1141
    • Zhang, D.1


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