메뉴 건너뛰기




Volumn 42, Issue 3, 2006, Pages

A fractional dispersion model for overland solute transport

Author keywords

[No Author keywords available]

Indexed keywords

ADVECTION; FRACTIONAL DISPERSION MODEL; HYDROGRAPHS; SOLUTE TRANSPORT;

EID: 33646517721     PISSN: 00431397     EISSN: None     Source Type: Journal    
DOI: 10.1029/2005WR004146     Document Type: Article
Times cited : (59)

References (37)
  • 2
    • 0027594152 scopus 로고
    • Criteria for evaluation of watershed models
    • ASCE Task Committee on Definition of Criteria for Evaluation of Watershed Models of the Watershed Management Committee (1993), Criteria for evaluation of watershed models, J. Irrig. Drain. Eng., 119(3), 429-443.
    • (1993) J. Irrig. Drain. Eng. , vol.119 , Issue.3 , pp. 429-443
  • 3
    • 0034113992 scopus 로고    scopus 로고
    • The fractional-order governing equation of Levy motion
    • Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert (2000a), The fractional-order governing equation of Levy motion, Water Resour. Res., 36(6), 1413-1423.
    • (2000) Water Resour. Res. , vol.36 , Issue.6 , pp. 1413-1423
    • Benson, D.A.1    Wheatcraft, S.W.2    Meerschaert, M.M.3
  • 4
    • 0034032484 scopus 로고    scopus 로고
    • Application of a fractional advection-dispersion equation
    • Benson, D. A., S. W. Wheatcraft, and M. M. Meerschaert (2000b), Application of a fractional advection-dispersion equation, Water Resour. Res., 36(6), 1403-1412.
    • (2000) Water Resour. Res. , vol.36 , Issue.6 , pp. 1403-1412
    • Benson, D.A.1    Wheatcraft, S.W.2    Meerschaert, M.M.3
  • 5
    • 0036822950 scopus 로고    scopus 로고
    • Physical pictures of transport in heterogeneous media: Advection-dispersion, random-walk, and fractional derivative formulations
    • doi:10.1029/2001WR001030
    • Berkowitz, B., J. Klafter, R. Metzler, and H. Scher (2002), Physical pictures of transport in heterogeneous media: Advection-dispersion, random-walk, and fractional derivative formulations, Water Resour. Res., 38(10), 1191, doi:10.1029/2001WR001030.
    • (2002) Water Resour. Res. , vol.38 , Issue.10 , pp. 1191
    • Berkowitz, B.1    Klafter, J.2    Metzler, R.3    Scher, H.4
  • 6
    • 0002745423 scopus 로고    scopus 로고
    • A fractional diffusion equation to describe Lévy flights
    • Chaves, A. S. (1998), A fractional diffusion equation to describe Lévy flights, Phys. Lett. A, 239(1-2), 13-16.
    • (1998) Phys. Lett. A , vol.239 , Issue.1-2 , pp. 13-16
    • Chaves, A.S.1
  • 7
    • 13244276967 scopus 로고    scopus 로고
    • The influence of storm movement on water erosion: Storm speed and direction effects
    • de Lima, J. L. M. P., V. P. Singh, and M. I. P. de Lima (2002), The influence of storm movement on water erosion: Storm speed and direction effects, CATENA, 715, 1-18.
    • (2002) CATENA , vol.715 , pp. 1-18
    • De Lima, J.L.M.P.1    Singh, V.P.2    De Lima, M.I.P.3
  • 8
    • 2142755490 scopus 로고    scopus 로고
    • Numerical solution of fractional advection-dispersion equation
    • Deng, Z.-Q., V. P. Singh, and L. Bengtsson (2004), Numerical solution of fractional advection-dispersion equation, J. Hydraul. Eng., 130(5), 422-431.
    • (2004) J. Hydraul. Eng. , vol.130 , Issue.5 , pp. 422-431
    • Deng, Z.-Q.1    Singh, V.P.2    Bengtsson, L.3
  • 10
    • 0029663623 scopus 로고    scopus 로고
    • Modeling overland flow contamination by chemicals mixed in shallow soil horizons under variable source area hydrology
    • Govindaraju, R. S. (1996), Modeling overland flow contamination by chemicals mixed in shallow soil horizons under variable source area hydrology, Water Resour. Res., 32(3), 753-758.
    • (1996) Water Resour. Res. , vol.32 , Issue.3 , pp. 753-758
    • Govindaraju, R.S.1
  • 11
    • 0036662801 scopus 로고    scopus 로고
    • Power-law residence time distribution in the hyporheic zone of a 2nd-order mountain stream
    • doi:10.1029/2002GL014743
    • Haggerty, R., S. M. Wondzell, and M. A. Johnson (2002), Power-law residence time distribution in the hyporheic zone of a 2nd-order mountain stream, Geophys. Res. Lett., 29(13), 1640, doi:10.1029/2002GL014743.
    • (2002) Geophys. Res. Lett. , vol.29 , Issue.13 , pp. 1640
    • Haggerty, R.1    Wondzell, S.M.2    Johnson, M.A.3
  • 12
    • 0029663916 scopus 로고    scopus 로고
    • Evaluating the reliability of the stream tracer approach to characterize stream-subsurface water exchange
    • Harvey, J. W., B. J. Wagner, and K. E. Bencala (1996), Evaluating the reliability of the stream tracer approach to characterize stream-subsurface water exchange, Water Resour. Res., 52(8), 2441-2451.
    • (1996) Water Resour. Res. , vol.52 , Issue.8 , pp. 2441-2451
    • Harvey, J.W.1    Wagner, B.J.2    Bencala, K.E.3
  • 13
    • 0017560391 scopus 로고
    • Accurate calculation of transport in two-dimensions
    • Holly, F. M., and A. Preissmann (1977), Accurate calculation of transport in two-dimensions, J. Hydraul. Div., 103(11), 1259-1277.
    • (1977) J. Hydraul. Div. , vol.103 , Issue.11 , pp. 1259-1277
    • Holly, F.M.1    Preissmann, A.2
  • 14
    • 0035448696 scopus 로고
    • Accurate two-dimensional simulation of advective-diffusive-reactive transport
    • Holly, F. M., and J.-D. Usseglio-Polatera (1984), Accurate two-dimensional simulation of advective-diffusive-reactive transport, J. Hydraul. Eng., 127(9), 728-737.
    • (1984) J. Hydraul. Eng. , vol.127 , Issue.9 , pp. 728-737
    • Holly, F.M.1    Usseglio-Polatera, J.-D.2
  • 15
    • 0024705041 scopus 로고
    • Chemical transport from coastal plain soils under simulated rainfall: I. Surface runoff, percolation, nitrate, and phosphate movement
    • Hubbard, R. K., R. G. Williams, and M. D. Erdman (1989a), Chemical transport from coastal plain soils under simulated rainfall: I. Surface runoff, percolation, nitrate, and phosphate movement, Trans. ASAE, 32(4), 1239-1249.
    • (1989) Trans. ASAE , vol.32 , Issue.4 , pp. 1239-1249
    • Hubbard, R.K.1    Williams, R.G.2    Erdman, M.D.3
  • 16
    • 0024703450 scopus 로고
    • Chemical transport from coastal plain soils under simulated rainfall: II. Movement of cyanazine, sulfometuron-methyl, and bromide
    • Hubbard, R. K., R. G. Williams, M. D. Erdman, and L. R. Marti (1989b), Chemical transport from coastal plain soils under simulated rainfall: II. Movement of cyanazine, sulfometuron-methyl, and bromide, Trans. ASAE, 32(4), 1250-1257.
    • (1989) Trans. ASAE , vol.32 , Issue.4 , pp. 1250-1257
    • Hubbard, R.K.1    Williams, R.G.2    Erdman, M.D.3    Marti, L.R.4
  • 17
    • 0033080947 scopus 로고    scopus 로고
    • Dispersion model for mountain streams
    • Hunt, B. (1999), Dispersion model for mountain streams, J. Hydraul. Eng., 125(2), 99-105.
    • (1999) J. Hydraul. Eng. , vol.125 , Issue.2 , pp. 99-105
    • Hunt, B.1
  • 18
    • 0031143631 scopus 로고    scopus 로고
    • Semi-Lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes
    • Karpik, S. R., and S. R. Crockett (1997), Semi-Lagrangian algorithm for two-dimensional advection-diffusion equation on curvilinear coordinate meshes, J. Hydraul. Eng., 123(5), 389-401.
    • (1997) J. Hydraul. Eng. , vol.123 , Issue.5 , pp. 389-401
    • Karpik, S.R.1    Crockett, S.R.2
  • 20
    • 0001505107 scopus 로고    scopus 로고
    • Multidimensional advection and fractional dispersion
    • Meerschaert, M. M., D. A. Benson, and B. Bäumer (1999), Multidimensional advection and fractional dispersion, Phys. Rev. E, 59(5), 5026-5028.
    • (1999) Phys. Rev. E , vol.59 , Issue.5 , pp. 5026-5028
    • Meerschaert, M.M.1    Benson, D.A.2    Bäumer, B.3
  • 21
    • 0014776873 scopus 로고
    • River flow forecasting through conceptual models, Part 1: A discussion of principles
    • Nash, J. E., and J. V. Sutcliffe (1970), River flow forecasting through conceptual models, Part 1: A discussion of principles, J. Hydrol., 10(3), 282-290.
    • (1970) J. Hydrol. , vol.10 , Issue.3 , pp. 282-290
    • Nash, J.E.1    Sutcliffe, J.V.2
  • 25
    • 1542436807 scopus 로고    scopus 로고
    • Fractal mobile/immobile solute transport
    • doi:10.1029/2003WR002141
    • Schumer, R., D. A. Benson, M. M. Meerschaert, and B. Baeumer (2003), Fractal mobile/immobile solute transport, Water Resour. Res., 39(10), 1296, doi:10.1029/2003WR002141.
    • (2003) Water Resour. Res. , vol.39 , Issue.10 , pp. 1296
    • Schumer, R.1    Benson, D.A.2    Meerschaert, M.M.3    Baeumer, B.4
  • 26
    • 0035130739 scopus 로고    scopus 로고
    • Eulerian derivation of the fractional advection-dispersion equation
    • Schumer, S., D. A. Benson, M. M. Meerschaert, and S. W. Wheatcraft (2001), Eulerian derivation of the fractional advection-dispersion equation, J. Contam. Hydrol., 48(1/2), 69-88.
    • (2001) J. Contam. Hydrol. , vol.48 , Issue.1-2 , pp. 69-88
    • Schumer, S.1    Benson, D.A.2    Meerschaert, M.M.3    Wheatcraft, S.W.4
  • 29
    • 0037200164 scopus 로고    scopus 로고
    • Kinematic wave solution for pollutant transport over an infiltrating plane with finite-period mixing and mixing zone
    • Singh, V. P. (2002), Kinematic wave solution for pollutant transport over an infiltrating plane with finite-period mixing and mixing zone, Hydrol. Processes, 16(12), 2441-2477.
    • (2002) Hydrol. Processes , vol.16 , Issue.12 , pp. 2441-2477
    • Singh, V.P.1
  • 31
    • 0016973021 scopus 로고
    • Mass transfer studies in sorbing porous media 1, Analytical solutions
    • van Genuchten, M. T., and P. J. Wierenga (1976), Mass transfer studies in sorbing porous media 1, Analytical solutions, Soil Sci. Soc. Am. J., 40, 473-480.
    • (1976) Soil Sci. Soc. Am. J. , vol.40 , pp. 473-480
    • Genuchten, M.T.1    Wierenga, P.J.2
  • 32
    • 0035876593 scopus 로고    scopus 로고
    • A comprehensive mathematical model for transport of soil-dissolved chemicals by overland flow
    • Wallach, R., G. Grigorin, and J. Rivlin (2001), A comprehensive mathematical model for transport of soil-dissolved chemicals by overland flow, J. Hydrol., 247, 85-99.
    • (2001) J. Hydrol. , vol.247 , pp. 85-99
    • Wallach, R.1    Grigorin, G.2    Rivlin, J.3
  • 33
    • 33646532697 scopus 로고    scopus 로고
    • Effect of sediment on pollutant transport-transformation
    • edited by J. H. W. Lee, A. W. Jayawardena, and Z. Y. Wang, Balkema, Rotterdam
    • Wan, Z.-H., and S.-L. Huang (1999), Effect of sediment on pollutant transport-transformation, in Environmental Hydraulics, edited by J. H. W. Lee, A. W. Jayawardena, and Z. Y. Wang, pp. 713-722, Balkema, Rotterdam.
    • (1999) Environmental Hydraulics , pp. 713-722
    • Wan, Z.-H.1    Huang, S.-L.2
  • 34
    • 0023794199 scopus 로고
    • An explanation of scale dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry
    • Wheatcraft, S. W., and S. Tyler (1988), An explanation of scale dependent dispersivity in heterogeneous aquifers using concepts of fractal geometry, Water Resour. Res., 24, 566-578.
    • (1988) Water Resour. Res. , vol.24 , pp. 566-578
    • Wheatcraft, S.W.1    Tyler, S.2
  • 35
    • 0001330326 scopus 로고
    • Simulation of unsteady overland flow
    • edited by K. Mahmood and V. Yevjevich, Water Resour. Publ., Fort Collins, Colo.
    • Woolhiser, D. A. (1975), Simulation of unsteady overland flow, in Unsteady Flow in Open Channels, vol. 2, edited by K. Mahmood and V. Yevjevich, pp. 485-508, Water Resour. Publ., Fort Collins, Colo.
    • (1975) Unsteady Flow in Open Channels , vol.2 , pp. 485-508
    • Woolhiser, D.A.1
  • 36
    • 0036192131 scopus 로고    scopus 로고
    • Effect of flow-induced exchange in hyporheic zones on longitudinal transport of solutes in streams and rivers
    • doi:10.1029/2001WR000769
    • Worman, A., A. I. Packman, H. Johansson, and K. Jonsson (2002), Effect of flow-induced exchange in hyporheic zones on longitudinal transport of solutes in streams and rivers, Water Resour. Res., 38(1), 1001, doi:10.1029/ 2001WR000769.
    • (2002) Water Resour. Res. , vol.38 , Issue.1 , pp. 1001
    • Worman, A.1    Packman, A.I.2    Johansson, H.3    Jonsson, K.4
  • 37
    • 0043131921 scopus 로고    scopus 로고
    • Application of the fractional advection-dispersion equation in porous media
    • Zhou, L., and H. M. Selim (2003), Application of the fractional advection-dispersion equation in porous media, Soil Sci. Soc. Am. J., 67, 1079-1084.
    • (2003) Soil Sci. Soc. Am. J. , vol.67 , pp. 1079-1084
    • Zhou, L.1    Selim, H.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.