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Volumn 39, Issue 18, 2006, Pages 4104-4110

Modelling infiltration by means of a nonlinear fractional diffusion model

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY VALUE PROBLEMS; CODES (SYMBOLS); COMPUTER SIMULATION; DIFFUSION; MOISTURE; NONLINEAR FILTERING;

EID: 33748356061     PISSN: 00223727     EISSN: 13616463     Source Type: Journal    
DOI: 10.1088/0022-3727/39/18/022     Document Type: Article
Times cited : (101)

References (32)
  • 2
    • 53349144349 scopus 로고    scopus 로고
    • Transport and relaxation phenomena in porous media
    • Hilfer R 1996 Transport and relaxation phenomena in porous media Advances in Chemical Physics vol XCII p 299
    • (1996) Advances in Chemical Physics , vol.92 , pp. 299
    • Hilfer, R.1
  • 4
    • 0000299374 scopus 로고    scopus 로고
    • Macroscopic equations of motion for two phase flow in porous media
    • Hilfer R 1998 Macroscopic equations of motion for two phase flow in porous media Phys. Rev. E 58 2090
    • (1998) Phys. Rev. , vol.58 , Issue.2 , pp. 2090
    • Hilfer, R.1
  • 5
    • 0033886924 scopus 로고    scopus 로고
    • Macroscopic two phase flow in porous media
    • Hilfer R and Besserer H 2000 Macroscopic two phase flow in porous media Physica B 279 125
    • (2000) Physica , vol.279 , Issue.1-3 , pp. 125
    • Hilfer, R.1    Besserer, H.2
  • 6
    • 27344459144 scopus 로고    scopus 로고
    • Capillary pressure, hysteresis and residual saturation in porous media
    • Hilfer R 2006 Capillary pressure, hysteresis and residual saturation in porous media Physica A 359 119
    • (2006) Physica , vol.359 , pp. 119
    • Hilfer, R.1
  • 7
    • 32844473162 scopus 로고    scopus 로고
    • Macroscopic capillarity and hysteresis for flow in porous media
    • Hilfer R 2006 Macroscopic capillarity and hysteresis for flow in porous media Phys. Rev. E 73
    • (2006) Phys. Rev. , vol.73
    • Hilfer, R.1
  • 8
    • 34247647193 scopus 로고
    • Capillary conduction of liquids through porous mediums
    • Richards L A 1931 Capillary conduction of liquids through porous mediums Physics 1 318-333
    • (1931) Physics , vol.1 , Issue.5 , pp. 318-333
    • Richards, L.A.1
  • 10
    • 0033283866 scopus 로고    scopus 로고
    • Anomalous water transport properties of Portland and blended cement-based materials
    • Taylor S C, Hoff W D, Wilson M A and Green K M 1999 Anomalous water transport properties of Portland and blended cement-based materials J. Mater. Sci. Lett. 18 1925-27
    • (1999) J. Mater. Sci. Lett. , vol.18 , Issue.23 , pp. 1925-1927
    • Taylor, S.C.1    Hoff, W.D.2    Wilson, M.A.3    Green, K.M.4
  • 11
    • 0035928627 scopus 로고    scopus 로고
    • Experimental evidence and theoretical analysis of anomalous diffusion during water infiltration in porous building materials
    • Küntz M and Lavallee P 2001 Experimental evidence and theoretical analysis of anomalous diffusion during water infiltration in porous building materials J. Phys. D: Appl. Phys. 34 2547-54
    • (2001) J. Phys. D: Appl. Phys. , vol.34 , Issue.16 , pp. 2547-2554
    • Küntz, M.1    Lavallee, P.2
  • 12
    • 4344668117 scopus 로고    scopus 로고
    • Neutron radiography study of water absorption in porous building materials: Anomalous diffusion analysis
    • El Abd A El-G and Milczarek J J 2004 Neutron radiography study of water absorption in porous building materials: anomalous diffusion analysis J. Phys. D: Appl. Phys. 37 2305-13
    • (2004) J. Phys. D: Appl. Phys. , vol.37 , Issue.16 , pp. 2305-2313
    • El Abd, A.El.-G.1    Milczarek, J.J.2
  • 14
    • 0037430330 scopus 로고    scopus 로고
    • Generalized Richard's equation to simulate water transport in unsaturated soils
    • Pachepsky Y, Timlin D and Rawls W 2003 Generalized Richard's equation to simulate water transport in unsaturated soils J. Hydrol. 272 3-13
    • (2003) J. Hydrol. , vol.272 , Issue.1-4 , pp. 3-13
    • Pachepsky, Y.1    Timlin, D.2    Rawls, W.3
  • 15
    • 0036499583 scopus 로고    scopus 로고
    • Calibration of Richards' and convection-dispersion equations to field-scale water flow and solute transport under rainfall conditions
    • Jacques Y, imunek J and Feyen J 2002 Calibration of Richards' and convection-dispersion equations to field-scale water flow and solute transport under rainfall conditions J. Hydrol. 259 15-31
    • (2002) J. Hydrol. , vol.259 , Issue.1-4 , pp. 15-31
    • Jacques, Y.1    Imunek, J.2    Feyen, J.3
  • 16
    • 0842349264 scopus 로고    scopus 로고
    • Modelling of unsaturated water flow in soils with highly permeable inclusions
    • Lewandowska J and Auriault J-L 2002 Modelling of unsaturated water flow in soils with highly permeable inclusions C. R. Mecanique 332 91-6
    • (2002) C. R. Mecanique , vol.332 , pp. 91-96
    • Lewandowska, J.1    Auriault, J.-L.2
  • 17
    • 0034640964 scopus 로고    scopus 로고
    • Numerical simulation of infiltration, evaporation and shallow groundwater levels with the richards equation
    • Van Dam J C and Feddes R A 2000 Numerical simulation of infiltration, evaporation and shallow groundwater levels with the richards equation J. Hydrol. 233 72-85
    • (2000) J. Hydrol. , vol.233 , Issue.1-4 , pp. 72-85
    • Van Dam, J.C.1    Feddes, R.A.2
  • 18
    • 0024686401 scopus 로고
    • Water sorptivity of mortars and concretes: A review
    • Hall C 1989 Water sorptivity of mortars and concretes: a review J. Hydrol. 41 51-61
    • (1989) J. Hydrol. , vol.41 , pp. 51-61
    • Hall, C.1
  • 20
    • 0032642628 scopus 로고    scopus 로고
    • Sorptivity and the estimation of water penetration into unsaturated concrete
    • Lockington D, Parlange J Y and Dux P 1999 Sorptivity and the estimation of water penetration into unsaturated concrete Mater. Struct. 32 342-7
    • (1999) Mater. Struct. , vol.32 , pp. 342-347
    • Lockington, D.1    Parlange, J.Y.2    Dux, P.3
  • 21
    • 0001704925 scopus 로고
    • Solutions and tests of the diffusion equation for the movement of water in soil
    • Gardner W R and Mayhugh M S 1958 Solutions and tests of the diffusion equation for the movement of water in soil Soil Sci. Soc. Am. Proc. 22 197-201
    • (1958) Soil Sci. Soc. Am. Proc. , vol.22 , pp. 197-201
    • Gardner, W.R.1    Mayhugh, M.S.2
  • 22
    • 0034974252 scopus 로고    scopus 로고
    • Developments in soil-water physics since the mid 1960
    • Raats P A C 2001 Developments in soil-water physics since the mid 1960 Geoderma 100 355-87
    • (2001) Geoderma , vol.100 , Issue.3-4 , pp. 355-387
    • Raats, P.A.C.1
  • 23
    • 0001104679 scopus 로고
    • Theory of infiltration
    • Philip J R 1969 Theory of infiltration Adv. Hydrosci. 5 215-96
    • (1969) Adv. Hydrosci. , vol.5 , pp. 215-296
    • Philip, J.R.1
  • 27
    • 0033750757 scopus 로고    scopus 로고
    • Fractional diffusion based on Riemann-Liouville fractional derivatives
    • Hilfer R 2000 Fractional diffusion based on Riemann-Liouville fractional derivatives J. Phys. Chem. B 104 3914
    • (2000) J. Phys. Chem. , vol.104 , Issue.16 , pp. 3914
    • Hilfer, R.1
  • 28
    • 0000437484 scopus 로고
    • Fractional master equations and fractal time random walks
    • Hilfer R and Anton L 1995 Fractional master equations and fractal time random walks Phys. Rev. E 51 R848-51
    • (1995) Phys. Rev. , vol.51 , Issue.2
    • Hilfer, R.1    Anton, L.2
  • 30
    • 0040272580 scopus 로고
    • Numerical methods for a class of finite dimensional bifurcation problems
    • Rheinboldt W C 1978 Numerical methods for a class of finite dimensional bifurcation problems SIAM J. Numer. Anal. 15 1-11
    • (1978) SIAM J. Numer. Anal. , vol.15 , Issue.1 , pp. 1-11
    • Rheinboldt, W.C.1
  • 32
    • 0000335218 scopus 로고
    • Asymptotic expansions and analytic continuations for a class of Barnes integrals
    • Braaksma B L J 1964 Asymptotic expansions and analytic continuations for a class of Barnes integrals Compos. Math. 15 239-341
    • (1964) Compos. Math. , vol.15 , pp. 239-341
    • Braaksma, B.L.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.