메뉴 건너뛰기




Volumn 45, Issue 3, 2009, Pages

On the incompatibility of richards' equation and finger-like infiltration in unsaturated homogeneous porous media

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATIVE APPROACHES; FLOW-MODELING; HOMOGENEOUS POROUS MEDIAS; HYSTERETIC BEHAVIORS; MATHEMATICAL PROOFS; RETENTION CURVES; RICHARDS' EQUATIONS; UNSATURATED POROUS MEDIAS;

EID: 65349181896     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2008WR007062     Document Type: Article
Times cited : (21)

References (49)
  • 2
    • 0020971978 scopus 로고
    • Simulation model of the water balance of a cropped soil: SWATRE
    • Belmans, C, J. G. Wesseling, and R. A. Feddes (1983), Simulation model of the water balance of a cropped soil: SWATRE, J. Hydrol, 63, 271-286.
    • (1983) J. Hydrol , vol.63 , pp. 271-286
    • Belmans, C.1    Wesseling, J.G.2    Feddes, R.A.3
  • 3
    • 0036773094 scopus 로고    scopus 로고
    • An efficient method for solving an inverse problem for the Richards' equation
    • Bitterlich, S., and P. Knabner (2002), An efficient method for solving an inverse problem for the Richards' equation, J. Comput. Appl. Math., 147,153-173.
    • (2002) J. Comput. Appl. Math , vol.147 , pp. 153-173
    • Bitterlich, S.1    Knabner, P.2
  • 4
    • 0002518416 scopus 로고
    • Hydraulic properties of porous media
    • 27 pp, Colo. State Univ, Fort Collins, Colo
    • Brooks, R. H., and A. T. Corey (1964), Hydraulic properties of porous media, Hydrol. Pap. 3, 27 pp., Colo. State Univ., Fort Collins, Colo.
    • (1964) Hydrol. Pap. 3
    • Brooks, R.H.1    Corey, A.T.2
  • 6
    • 65349147494 scopus 로고    scopus 로고
    • Deinert, M., J.-Y. Parlange, K. Bingham Cady, T. S. Steenhuis, and J. S. Selker (2003), Comment on On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state by Mehdi Eliassi and Robert J. Glass, Water Resour. Res., 39(9), 1263, doi:10.1029/2002WR001785.
    • Deinert, M., J.-Y. Parlange, K. Bingham Cady, T. S. Steenhuis, and J. S. Selker (2003), Comment on "On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state" by Mehdi Eliassi and Robert J. Glass, Water Resour. Res., 39(9), 1263, doi:10.1029/2002WR001785.
  • 7
    • 1542757408 scopus 로고    scopus 로고
    • Stability analysis of gravity-driven infiltrating flow
    • doi:10.1029/2002WR001886
    • Egorov, A. G., R. Z. Dautov, J. L. Nieber, and A. Y. Sheshukov (2003), Stability analysis of gravity-driven infiltrating flow, Water Resour. Res., 39(9), 1266, doi:10.1029/2002WR001886.
    • (2003) Water Resour. Res , vol.39 , Issue.9 , pp. 1266
    • Egorov, A.G.1    Dautov, R.Z.2    Nieber, J.L.3    Sheshukov, A.Y.4
  • 8
    • 0034915306 scopus 로고    scopus 로고
    • On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards' equation with standard monotonic constitutive relations and hysteretic equations of state
    • Eliassi, M., and R. J. Glass (2001), On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards' equation with standard monotonic constitutive relations and hysteretic equations of state, Water Resour. Res., 37, 2019-2035.
    • (2001) Water Resour. Res , vol.37 , pp. 2019-2035
    • Eliassi, M.1    Glass, R.J.2
  • 9
    • 65349097766 scopus 로고    scopus 로고
    • Eliassi, M., and R. J. Glass (2003), Reply to comment on On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state by Mehdi Eliassi and Robert J. Glass, Water Resour. Res., 39(9), 1264, doi:10.1029/2003WR002053.
    • Eliassi, M., and R. J. Glass (2003), Reply to comment on "On the continuum-scale modeling of gravity-driven fingers in unsaturated porous media: The inadequacy of the Richards equation with standard monotonic constitutive relations and hysteretic equations of state" by Mehdi Eliassi and Robert J. Glass, Water Resour. Res., 39(9), 1264, doi:10.1029/2003WR002053.
  • 11
    • 0036665254 scopus 로고    scopus 로고
    • Chaotic dynamics in flow through unsaturated fractured media
    • Faybishenko, B. (2002), Chaotic dynamics in flow through unsaturated fractured media, Adv. Water Resour., 25, 793-816.
    • (2002) Adv. Water Resour , vol.25 , pp. 793-816
    • Faybishenko, B.1
  • 12
    • 36649025707 scopus 로고    scopus 로고
    • Numerical analyses of subsurface flow in a steep hillslope under rainfall: The role of the spatial heterogeneity of the formation hydraulic properties
    • doi:10.1029/2006WR005365
    • Fiori, A., and D. Russo (2007), Numerical analyses of subsurface flow in a steep hillslope under rainfall: The role of the spatial heterogeneity of the formation hydraulic properties, Water Resour. Res., 43, W07445, doi:10.1029/2006WR005365.
    • (2007) Water Resour. Res , vol.43
    • Fiori, A.1    Russo, D.2
  • 13
    • 0027532786 scopus 로고
    • A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media
    • Gerke, H. H., and M. T. van Genuchten (1993), A dual-porosity model for simulating the preferential movement of water and solutes in structured porous media, Water Resour. Res., 29, 305-319.
    • (1993) Water Resour. Res , vol.29 , pp. 305-319
    • Gerke, H.H.1    van Genuchten, M.T.2
  • 14
    • 0029656853 scopus 로고    scopus 로고
    • Physics of gravity fingering of immiscible fluids within porous media: An overview of current understand- ing and selected complicating factors
    • Glass, R. J., and M. J. Nicholl (1996), Physics of gravity fingering of immiscible fluids within porous media: An overview of current understand- ing and selected complicating factors, Geoderma, 70, 133- 163.
    • (1996) Geoderma , vol.70 , pp. 133-163
    • Glass, R.J.1    Nicholl, M.J.2
  • 15
    • 1542441597 scopus 로고    scopus 로고
    • Mechanistic modeling of fingering, nonmonotonicity, fragmentation, and pulsation within gravity/buoyant destabilized two-phase/unsaturated flow
    • doi:10.1029/2002WR001542
    • Glass, R. J., and L. Yarrington (2003), Mechanistic modeling of fingering, nonmonotonicity, fragmentation, and pulsation within gravity/buoyant destabilized two-phase/unsaturated flow, Water Resour. Res., 39(3),1058, doi:10.1029/2002WR001542.
    • (2003) Water Resour. Res., 39 , pp. 1058
    • Glass, R.J.1    Yarrington, L.2
  • 16
    • 0024837594 scopus 로고
    • Mechanism for finger persistence in homogeneous unsaturated porous media: Theory and verification
    • Glass, J. R., T. S. Steenhuis, and J.-Y. Parlange (1989), Mechanism for finger persistence in homogeneous unsaturated porous media: Theory and verification, Soil Sci., 148, 60-70.
    • (1989) Soil Sci , vol.148 , pp. 60-70
    • Glass, J.R.1    Steenhuis, T.S.2    Parlange, J.-Y.3
  • 17
    • 36048943929 scopus 로고    scopus 로고
    • Adaptive multi-scale parameterization for one-dimensional flow in unsaturated porous media
    • Hayek, M., F. Lehmann, and P. Ackerer (2008), Adaptive multi-scale parameterization for one-dimensional flow in unsaturated porous media, Adv. Water Resour, 31, 28-43.
    • (2008) Adv. Water Resour , vol.31 , pp. 28-43
    • Hayek, M.1    Lehmann, F.2    Ackerer, P.3
  • 19
    • 34347262683 scopus 로고    scopus 로고
    • A framework for classifying and comparing distributed hillslope and catchment hydrologic models
    • doi:10.1029/2006WR005370
    • Kampf, S. K., and S. J. Burges (2007), A framework for classifying and comparing distributed hillslope and catchment hydrologic models, Water Resour. Res., 43, W05423, doi:10.1029/2006WR005370.
    • (2007) Water Resour. Res , vol.43
    • Kampf, S.K.1    Burges, S.J.2
  • 20
    • 34248185562 scopus 로고    scopus 로고
    • A new method for calculating hysteretic K(S) relationship
    • Kargas, G., P. Kerkides, and A. Poulovassilis (2007), A new method for calculating hysteretic K(S) relationship, Transp. Porous Media, 68, 175- 185.
    • (2007) Transp. Porous Media , vol.68 , pp. 175-185
    • Kargas, G.1    Kerkides, P.2    Poulovassilis, A.3
  • 21
    • 0023524187 scopus 로고
    • Development and evaluation of closed- form expressions for hysteretic soil hydraulic properties
    • Kool, J. B., and J. C. Parker (1987), Development and evaluation of closed- form expressions for hysteretic soil hydraulic properties, Water Resour. Res., 23, 105-114.
    • (1987) Water Resour. Res , vol.23 , pp. 105-114
    • Kool, J.B.1    Parker, J.C.2
  • 23
    • 0028666567 scopus 로고
    • Water movement in glass bead porous media: 1. Experiments of capillary rise and hysteresis
    • Lu, T. X., J. W. Biggar, and D. R. Nielsen (1994a), Water movement in glass bead porous media: 1. Experiments of capillary rise and hysteresis, Water Resour. Res., 30, 3275-3281.
    • (1994) Water Resour. Res , vol.30 , pp. 3275-3281
    • Lu, T.X.1    Biggar, J.W.2    Nielsen, D.R.3
  • 24
    • 0028666560 scopus 로고
    • Water movement in glass bead porous media: 2. Experiments of infiltration and finger flow
    • Lu, T. X., J. W. Biggar, and D. R. Nielsen (1994b), Water movement in glass bead porous media: 2. Experiments of infiltration and finger flow, Water Resour. Res., 30, 3283-3290.
    • (1994) Water Resour. Res , vol.30 , pp. 3283-3290
    • Lu, T.X.1    Biggar, J.W.2    Nielsen, D.R.3
  • 25
    • 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
  • 26
    • 0016072435 scopus 로고
    • A conceptual model of hysteresis
    • Mualem, Y. (1974), A conceptual model of hysteresis, Water Resour. Res., 10, 514-520.
    • (1974) Water Resour. Res , vol.10 , pp. 514-520
    • Mualem, Y.1
  • 27
    • 0016961814 scopus 로고
    • A new model for predicting the hydraulic conductivity of unsaturated porous media
    • Mualem, Y. (1976), A new model for predicting the hydraulic conductivity of unsaturated porous media, Water Resour Res., 12, 513-522.
    • (1976) Water Resour Res , vol.12 , pp. 513-522
    • Mualem, Y.1
  • 29
    • 0017319982 scopus 로고    scopus 로고
    • Neuraan, S. P. (1975), Galerkin approach to saturated-unsaturated flow in porous media, in Finite Elements in Fluids, 1, Viscous Flow and Hydrodynamics, edited by R. H. Gallagher et al., pp. 201-217, John Wiley, London.
    • Neuraan, S. P. (1975), Galerkin approach to saturated-unsaturated flow in porous media, in Finite Elements in Fluids, vol. 1, Viscous Flow and Hydrodynamics, edited by R. H. Gallagher et al., pp. 201-217, John Wiley, London.
  • 30
    • 0029656858 scopus 로고    scopus 로고
    • Modeling finger development and persistence in initially dry porous media
    • Nieber, J. L. (1996), Modeling finger development and persistence in initially dry porous media, Geoderma, 70, 207-229.
    • (1996) Geoderma , vol.70 , pp. 207-229
    • Nieber, J.L.1
  • 31
    • 0000116196 scopus 로고
    • Theory of water movement in soils. 1. One-dimensional absorption
    • Parlange, J. Y. (1971 a), Theory of water movement in soils. 1. One-dimensional absorption, Soil Sci., 111, 134-137.
    • (1971) Soil Sci , vol.111 , pp. 134-137
    • Parlange, J.Y.1
  • 32
    • 84932831123 scopus 로고
    • Theory of water-movement in soils. 2. One-dimensional infiltration,Soil
    • Parlange, J.-Y. (1971 b), Theory of water-movement in soils. 2. One-dimensional infiltration,Soil Sci., 111, 170-174.
    • (1971) Sci , vol.111 , pp. 170-174
    • Parlange, J.-Y.1
  • 33
    • 84912202560 scopus 로고
    • Moisture profile development and air compression during wateruptake by bounded porous bodies. 3. Vertical columns
    • Peck, A. J. (1965), Moisture profile development and air compression during wateruptake by bounded porous bodies. 3. Vertical columns, Soil Sci., 100, 44-51.
    • (1965) Soil Sci , vol.100 , pp. 44-51
    • Peck, A.J.1
  • 34
    • 84936619555 scopus 로고
    • The theory of infiltration. 1. The infiltration equation and its solution
    • Philip, J. R. (1957a), The theory of infiltration. 1. The infiltration equation and its solution, Soil Sci., 83, 345-357.
    • (1957) Soil Sci , vol.83 , pp. 345-357
    • Philip, J.R.1
  • 35
    • 84934729852 scopus 로고
    • The theory of infiltration. 4. Sorptivity analysis of algebraic infiltration equations
    • Philip, J. R. (1957b), The theory of infiltration. 4. Sorptivity analysis of algebraic infiltration equations, Soil Sci., 84, 257-264.
    • (1957) Soil Sci , vol.84 , pp. 257-264
    • Philip, J.R.1
  • 36
    • 0025437558 scopus 로고
    • Description of trans- port of liquid in porous media-A study based on neutron radiography data
    • Pražák, J., J. Tywoniak, F. Peterka, and T. Šlonc (1990), Description of trans- port of liquid in porous media-A study based on neutron radiography data, Int. J. Heat Mass Transfer, 33, 1105 -1120.
    • (1990) Int. J. Heat Mass Transfer , vol.33 , pp. 1105-1120
    • Pražák, J.1    Tywoniak, J.2    Peterka, F.3    Šlonc, T.4
  • 37
    • 0027079844 scopus 로고
    • Oscilla- tion phenomena in gravity-driven drainage in coarse porous media
    • Pražák, J., M. Šir, F. Kubík, J. Tywoniak, and C. Zarcone (1992), Oscilla- tion phenomena in gravity-driven drainage in coarse porous media, Water Resour. Res., 28, 1849-1855.
    • (1992) Water Resour. Res , vol.28 , pp. 1849-1855
    • Pražák, J.1    Šir, M.2    Kubík, F.3    Tywoniak, J.4    Zarcone, C.5
  • 38
    • 33747040057 scopus 로고    scopus 로고
    • Milestones in soil physics
    • Raats, P. A. C, and M. T. van Genuchten (2006), Milestones in soil physics, Soil Sci., 171, suppl. 1, S21-S28.
    • (2006) Soil Sci , vol.171 , Issue.SUPPL. 1
    • Raats, P.A.C.1    van Genuchten, M.T.2
  • 39
    • 0027788811 scopus 로고
    • Variability of unsaturated zone water transport parameters: Implications for hydrological modelling. 1. In situ measurements
    • Ragab, R., and J. D. Cooper (1993), Variability of unsaturated zone water transport parameters: Implications for hydrological modelling. 1. In situ measurements, J. Hydro)., 148, 109-131.
    • (1993) J. Hydro) , vol.148 , pp. 109-131
    • Ragab, R.1    Cooper, J.D.2
  • 40
    • 34247647193 scopus 로고
    • Capillary conduction of liquid through porous media
    • Richards, L. A. (1931), Capillary conduction of liquid through porous media, Physics, 1, 318-333.
    • (1931) Physics , vol.1 , pp. 318-333
    • Richards, L.A.1
  • 42
    • 0027100914 scopus 로고
    • Fingered flow in two dimensions: 1. Measurements of matric potential
    • Selker, J. S., P. Leclerq, J.-Y. Parlange, and T. S. Steenhuis (1992), Fingered flow in two dimensions: 1. Measurements of matric potential, Water Resour Res., 28, 2513-2521.
    • (1992) Water Resour Res , vol.28 , pp. 2513-2521
    • Selker, J.S.1    Leclerq, P.2    Parlange, J.-Y.3    Steenhuis, T.S.4
  • 43
    • 17344395534 scopus 로고    scopus 로고
    • Estimating hysteresis in the soil water retention function from cone permeameter experiments
    • Šimunek, J., R. Kodešová, M. M. Gribb, and M. T. van Genuchten (1999), Estimating hysteresis in the soil water retention function from cone permeameter experiments, Water Resour. Res., 35, 1329-1345.
    • (1999) Water Resour. Res , vol.35 , pp. 1329-1345
    • Šimunek, J.1    Kodešová, R.2    Gribb, M.M.3    van Genuchten, M.T.4
  • 44
    • 0030425470 scopus 로고    scopus 로고
    • Liquid transport in porous media-Discontinuous phenomena. Part I: Theory
    • Sir, M., F. Kubík, and M. Tesaf (1996a), Liquid transport in porous media-Discontinuous phenomena. Part I: Theory, J. Hydrol. Hydro- mech., 44, 81-90.
    • (1996) J. Hydrol. Hydro- mech , vol.44 , pp. 81-90
    • Sir, M.1    Kubík, F.2    Tesaf, M.3
  • 45
    • 0030482986 scopus 로고    scopus 로고
    • Liquid transport in porous media-Discontinuous phenomena. Part II: Examples
    • Šír, M., F. Kubík, and M. Tesař (1996b), Liquid transport in porous media-Discontinuous phenomena. Part II: Examples, J. Hydrol. Hydro- mech., 44, 235-251.
    • (1996) J. Hydrol. Hydro- mech , vol.44 , pp. 235-251
    • Šír, M.1    Kubík, F.2    Tesař, M.3
  • 46
    • 0019057216 scopus 로고
    • A closed-form equation for predicting the hydraulic conductivity of unsaturated soils
    • van Genuchten, M. T. (1980), A closed-form equation for predicting the hydraulic conductivity of unsaturated soils, Soil Sci. Soc. Am. J., 44, 892-898.
    • (1980) Soil Sci. Soc. Am. J , vol.44 , pp. 892-898
    • van Genuchten, M.T.1
  • 47
    • 0023962285 scopus 로고
    • On the reliability of unsaturated hydraulic conductivity calculated from the moisture retention curve
    • Vogel, T., and M. Císlerová (1988), On the reliability of unsaturated hydraulic conductivity calculated from the moisture retention curve, Transp. Porous Media, 3, 1-15.
    • (1988) Transp. Porous Media , vol.3 , pp. 1-15
    • Vogel, T.1    Císlerová, M.2
  • 48
    • 0034480368 scopus 로고    scopus 로고
    • Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions
    • Vogel, T., M. T. van Genuchten, and M. Císlerová (2000), Effect of the shape of the soil hydraulic functions near saturation on variably-saturated flow predictions, Adv. Water Resour., 24, 133- 144.
    • (2000) Adv. Water Resour , vol.24 , pp. 133-144
    • Vogel, T.1    van Genuchten, M.T.2    Císlerová, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.