메뉴 건너뛰기




Volumn 34, Issue 8, 2011, Pages 1012-1025

Comparison of conductivity averaging methods for one-dimensional unsaturated flow in layered soils

Author keywords

Internodal conductivity; Layered soil; Richards' equation

Indexed keywords

ADJACENT NODES; ARITHMETIC AVERAGING; AVERAGING METHOD; CELL-CENTERED APPROACHES; COMPLEX SCHEMES; COMPUTATIONAL GRIDS; COMPUTATIONAL NODES; COMPUTATIONAL TIME; HOMOGENEOUS SOIL; INTERNODAL CONDUCTIVITY; LAYERED SOILS; LOCAL SOLUTION; MATERIAL INTERFACES; NEIGHBORING NODES; NUMERICAL SCHEME; NUMERICAL SOLUTION; RICHARDS' EQUATION; SECOND GROUP; SPATIAL DISCRETIZATIONS; STEADY-STATE FLOWS; TEST CASE; UNSATURATED FLOWS;

EID: 79960226554     PISSN: 03091708     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.advwatres.2011.05.011     Document Type: Article
Times cited : (30)

References (30)
  • 1
    • 79960203468 scopus 로고
    • Hydraulic properties of porous media, Hydrology Paper 3. Colorado State University, Fort Collins, Colorado, USA.
    • Brooks R, Corey A. Hydraulic properties of porous media, Hydrology Paper 3. Colorado State University, Fort Collins, Colorado, USA; 1964.
    • (1964)
    • Brooks, R.1    Corey, A.2
  • 2
    • 0016961814 scopus 로고
    • A new model for predicting the hydraulic conductivity of unsaturated porous media
    • Mualem Y. A new model for predicting the hydraulic conductivity of unsaturated porous media. Water Resour Res 1976, 12(3):513-522. 10.1029/WR012i003p00513.
    • (1976) Water Resour Res , vol.12 , Issue.3 , pp. 513-522
    • Mualem, Y.1
  • 3
    • 0019057216 scopus 로고
    • A closed form equation for predicting the hydraulic conductivity of unsaturated soils
    • van Genuchten M. A closed form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 1980, 44(5):892-898. 10.2136/sssaj1980.03615995004400050002x.
    • (1980) Soil Sci Soc Am J , vol.44 , Issue.5 , pp. 892-898
    • van Genuchten, M.1
  • 4
    • 0025585761 scopus 로고
    • A general mass-conservative numerical solution for the unsaturated flow equation
    • Celia M., Bouloutas E., Zarba R. A general mass-conservative numerical solution for the unsaturated flow equation. Water Resour Res 1990, 26(7):1483-1496. 10.1029/WR026i007p01483.
    • (1990) Water Resour Res , vol.26 , Issue.7 , pp. 1483-1496
    • Celia, M.1    Bouloutas, E.2    Zarba, R.3
  • 5
    • 0034640964 scopus 로고    scopus 로고
    • Numerical simulation of infiltration, evaporation and shallow groundwater levels with the Richards equation
    • van Dam J., Feddes R. Numerical simulation of infiltration, evaporation and shallow groundwater levels with the Richards equation. J Hydrol 2000, 233(1):72-85. 10.1016/S0022-1694(00)00227-4.
    • (2000) J Hydrol , vol.233 , Issue.1 , pp. 72-85
    • van Dam, J.1    Feddes, R.2
  • 6
    • 34250356153 scopus 로고    scopus 로고
    • Numerical simulations of one-dimensional infiltration into layered soils with the Richards' equation using different estimates of the interlayer conductivity
    • Brunone B., Ferrante M., Romano N., Santini A. Numerical simulations of one-dimensional infiltration into layered soils with the Richards' equation using different estimates of the interlayer conductivity. Vadose Zone J 2003, 2(2):193-200. 10.2113/2.2.193.
    • (2003) Vadose Zone J , vol.2 , Issue.2 , pp. 193-200
    • Brunone, B.1    Ferrante, M.2    Romano, N.3    Santini, A.4
  • 7
    • 79960215338 scopus 로고    scopus 로고
    • Two numerical methods for modeling variably saturated flow in layered media
    • Lima-Vivancos V., Voller V. Two numerical methods for modeling variably saturated flow in layered media. Vadose Zone J 2004, 3(3):1031-1037. 10.2136/vzj2004.1031.
    • (2004) Vadose Zone J , vol.3 , Issue.3 , pp. 1031-1037
    • Lima-Vivancos, V.1    Voller, V.2
  • 8
    • 79960268823 scopus 로고    scopus 로고
    • The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat and multiple solutes in variably-saturated media. Version 4.0, Department of Environmental Sciences, University of California Riverside, Riverside, California.
    • Šimůnek J, Šejna M, Saito H, Sakai M, van Genuchten M. The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat and multiple solutes in variably-saturated media. Version 4.0, Department of Environmental Sciences, University of California Riverside, Riverside, California; 2008.
    • (2008)
    • Šimůnek, J.1    Šejna, M.2    Saito, H.3    Sakai, M.4    van Genuchten, M.5
  • 9
    • 60249100923 scopus 로고    scopus 로고
    • Comparison of equivalent conductivities for numerical simulation of one-dimensional unsaturated flow
    • Belfort B., Lehmann F. Comparison of equivalent conductivities for numerical simulation of one-dimensional unsaturated flow. Vadose Zone J 2005, 4(4):1191-1200. 10.2136/vzj2005.0007.
    • (2005) Vadose Zone J , vol.4 , Issue.4 , pp. 1191-1200
    • Belfort, B.1    Lehmann, F.2
  • 10
    • 33846373762 scopus 로고    scopus 로고
    • Local discontinuous Galerkin approximations to Richards equation
    • Li H., Farthing M., Dawson C., Miller C. Local discontinuous Galerkin approximations to Richards equation. Adv Water Resour 2007, 30(3):555-575. 10.1016/j.advwatres.2006.04.011.
    • (2007) Adv Water Resour , vol.30 , Issue.3 , pp. 555-575
    • Li, H.1    Farthing, M.2    Dawson, C.3    Miller, C.4
  • 11
    • 34250652075 scopus 로고    scopus 로고
    • Adaptive local discontinuous Galerkin approximation to Richards' equation
    • Li H., Farthing M., Miller C. Adaptive local discontinuous Galerkin approximation to Richards' equation. Adv Water Resour 2007, 30(9):1883-1901. 10.1016/j.advwatres.2007.02.007.
    • (2007) Adv Water Resour , vol.30 , Issue.9 , pp. 1883-1901
    • Li, H.1    Farthing, M.2    Miller, C.3
  • 12
    • 0018302163 scopus 로고
    • A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow
    • Haverkamp R., Vauclin M. A note on estimating finite difference interblock hydraulic conductivity values for transient unsaturated flow. Water Resour Res 1979, 15(1):181-187. 10.1029/WR015i001p0018.
    • (1979) Water Resour Res , vol.15 , Issue.1 , pp. 181-187
    • Haverkamp, R.1    Vauclin, M.2
  • 13
    • 0021497077 scopus 로고
    • Calculation of internodal conductances for unsaturated flow simulations
    • Schnabel R., Richie E. Calculation of internodal conductances for unsaturated flow simulations. Soil Sci Soc Am J 1984, 48(5):1006-1010. 10.2136/sssaj1984.03615995004800050010x.
    • (1984) Soil Sci Soc Am J , vol.48 , Issue.5 , pp. 1006-1010
    • Schnabel, R.1    Richie, E.2
  • 14
    • 0027040672 scopus 로고
    • Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils
    • Zaidel J., Russo D. Estimation of finite difference interblock conductivities for simulation of infiltration into initially dry soils. Water Resour Res 1992, 28(9):2285-2295. 10.1029/92WR00914.
    • (1992) Water Resour Res , vol.28 , Issue.9 , pp. 2285-2295
    • Zaidel, J.1    Russo, D.2
  • 15
    • 0031689647 scopus 로고    scopus 로고
    • Robust solution of Richards equation for nonuniform porous media
    • Miller C., Williams G., Kelley C., Tocci M. Robust solution of Richards equation for nonuniform porous media. Water Resour Res 1998, 34(10):2599-2610. 10.1029/98WR01673.
    • (1998) Water Resour Res , vol.34 , Issue.10 , pp. 2599-2610
    • Miller, C.1    Williams, G.2    Kelley, C.3    Tocci, M.4
  • 16
    • 0032804680 scopus 로고    scopus 로고
    • Some analytic and approximate Darcian means
    • Baker D., Arnold M., Scott H. Some analytic and approximate Darcian means. Ground Water 1999, 37(4):532-538. 10.1111/j.1745-6584.1999.tb01139.x.
    • (1999) Ground Water , vol.37 , Issue.4 , pp. 532-538
    • Baker, D.1    Arnold, M.2    Scott, H.3
  • 17
    • 0000677242 scopus 로고
    • Analysis of hydraulic conductivity averaging schemes for one-dimensional, steady-state unsaturated flow
    • Srivastava R., Guzman-Guzman A. Analysis of hydraulic conductivity averaging schemes for one-dimensional, steady-state unsaturated flow. Ground Water 1995, 33(6):946-952. 10.1111/j.1745-6584.
    • (1995) Ground Water , vol.33 , Issue.6 , pp. 946-952
    • Srivastava, R.1    Guzman-Guzman, A.2
  • 18
    • 0036998943 scopus 로고    scopus 로고
    • Estimation of internodal permeabilities for numerical simulations of unsaturated flows
    • Gastó J., Grifoll J., Cohen Y. Estimation of internodal permeabilities for numerical simulations of unsaturated flows. Water Resour Res 2002, 38(12):1326. 10.1029/2002WR001529.
    • (2002) Water Resour Res , vol.38 , Issue.12 , pp. 1326
    • Gastó, J.1    Grifoll, J.2    Cohen, Y.3
  • 19
    • 72149111431 scopus 로고    scopus 로고
    • Approximation of internodal conductivities in numerical simulation of 1D infiltration, drainage and capillary rise in unsaturated soils
    • Szymkiewicz A. Approximation of internodal conductivities in numerical simulation of 1D infiltration, drainage and capillary rise in unsaturated soils. Water Resour Res 2009, 45(10):W10403. 10.1029/2008WR007654.
    • (2009) Water Resour Res , vol.45 , Issue.10
    • Szymkiewicz, A.1
  • 20
    • 26844574243 scopus 로고    scopus 로고
    • Adaptive grid refinement in numerical models for water flow and chemical transport in soil
    • Mansell R., Ma L., Ahuja L., Bloom S. Adaptive grid refinement in numerical models for water flow and chemical transport in soil. Vadose Zone J 2002, 1(2):222-238. 10.2136/vzj2002.2220.
    • (2002) Vadose Zone J , vol.1 , Issue.2 , pp. 222-238
    • Mansell, R.1    Ma, L.2    Ahuja, L.3    Bloom, S.4
  • 21
    • 31644448171 scopus 로고    scopus 로고
    • A spatially and temporally adaptive solution of Richards' equation
    • Miller C., Abhishek C., Farthing M. A spatially and temporally adaptive solution of Richards' equation. Adv Water Resour 2006, 29(4):525-545. 10.1016/j.advwatres.2005.06.008.
    • (2006) Adv Water Resour , vol.29 , Issue.4 , pp. 525-545
    • Miller, C.1    Abhishek, C.2    Farthing, M.3
  • 22
    • 0034029334 scopus 로고    scopus 로고
    • Transformation approaches for simulating flow in variably saturated porous media
    • Williams G., Miller C., Kelley C. Transformation approaches for simulating flow in variably saturated porous media. Water Resour Res 2000, 36(4):923-934. 10.1029/1999WR900349.
    • (2000) Water Resour Res , vol.36 , Issue.4 , pp. 923-934
    • Williams, G.1    Miller, C.2    Kelley, C.3
  • 23
    • 0345566407 scopus 로고    scopus 로고
    • Modeling soil water and solute transport - fast simplified numerical solutions
    • Ross P. Modeling soil water and solute transport - fast simplified numerical solutions. Agronomy J 2003, 95(6):1352-1361. 10.2134/agronj2003.1352.
    • (2003) Agronomy J , vol.95 , Issue.6 , pp. 1352-1361
    • Ross, P.1
  • 24
    • 0026278390 scopus 로고
    • Numerical approximation of Darcian flow through unsaturated soil
    • Warrick A. Numerical approximation of Darcian flow through unsaturated soil. Water Resour Res 1991, 27(6):1215-1222. 10.1029/91WR00093.
    • (1991) Water Resour Res , vol.27 , Issue.6 , pp. 1215-1222
    • Warrick, A.1
  • 25
    • 0029305479 scopus 로고
    • Darcian weighted interblock conductivity means for vertical unsaturated flow
    • Baker D. Darcian weighted interblock conductivity means for vertical unsaturated flow. Ground Water 1995, 33(3):385-390. 10.1111/j.1745-6584.1995.tb00294.x.
    • (1995) Ground Water , vol.33 , Issue.3 , pp. 385-390
    • Baker, D.1
  • 26
    • 0034009664 scopus 로고    scopus 로고
    • A Darcian integral approximation to interblock hydraulic conductivity means in vertical infiltration
    • Baker D. A Darcian integral approximation to interblock hydraulic conductivity means in vertical infiltration. Comput Geosci 2000, 26(5):581-590. 10.1016/S0098-3004(99)00129-6.
    • (2000) Comput Geosci , vol.26 , Issue.5 , pp. 581-590
    • Baker, D.1
  • 27
    • 0024783206 scopus 로고
    • Modeling one-dimensional infiltration into very dry soils: model development and evaluation
    • Hills R., Porro I., Hudson D., Wierenga P. Modeling one-dimensional infiltration into very dry soils: model development and evaluation. Water Resour Res 1989, 25(6):1259-1269. 10.1029/WR025i006p01259.
    • (1989) Water Resour Res , vol.25 , Issue.6 , pp. 1259-1269
    • Hills, R.1    Porro, I.2    Hudson, D.3    Wierenga, P.4
  • 28
    • 0041734173 scopus 로고    scopus 로고
    • Numerical analysis of one-dimensional unsaturated flow in layered soils
    • Romano N., Brunone B., Santini A. Numerical analysis of one-dimensional unsaturated flow in layered soils. Adv Water Resour 1998, 21(4):315-324. 10.1016/S0309-1708(96)00059-0.
    • (1998) Adv Water Resour , vol.21 , Issue.4 , pp. 315-324
    • Romano, N.1    Brunone, B.2    Santini, A.3
  • 29
    • 0029413107 scopus 로고
    • Robust numerical methods for saturated unsaturated flow in heterogeneous media
    • Forsyth P., Wu Y., Pruess K. Robust numerical methods for saturated unsaturated flow in heterogeneous media. Adv Water Resour 1995, 18(1):25-38. 10.1016/0309-1708(95)00020-J.
    • (1995) Adv Water Resour , vol.18 , Issue.1 , pp. 25-38
    • Forsyth, P.1    Wu, Y.2    Pruess, K.3
  • 30
    • 0032124522 scopus 로고    scopus 로고
    • Comparison of Galerkin-type discretization techniques for two-phase flow in heterogenous porous media
    • Helmig R., Huber R. Comparison of Galerkin-type discretization techniques for two-phase flow in heterogenous porous media. Adv Water Resour 1998, 21(8):697-711. 10.1016/S0309-1708(97)00023-7.
    • (1998) Adv Water Resour , vol.21 , Issue.8 , pp. 697-711
    • Helmig, R.1    Huber, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.