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Original Articles

Analytical solution of transient flow in a sloping soil layer with recharge

Solution analytique d'un écoulement transitoire dans une couche de sol en pente avec recharge

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Pages 626-641 | Received 13 Sep 2005, Accepted 22 Apr 2006, Published online: 19 Jan 2010

REFERENCES

  • Adams , E. E. and Koussis , A. D. 1980 . Transient analysis for shallow cooling ponds. . J. Energy Div. ASCE , 106 ( EY2 ) : 141 – 153 .
  • Basha , H. A. and Maalouf , S. F. 2005 . Theoretical and conceptual models of subsurface hillslope flows. . Water Resour. Res. , 41 : W07018 doi:10.1029/2004WR003769
  • Beven , K. 1981 . Kinematic subsurface stormflow. . Water Resour. Res. , 17 ( 5 ) : 1419 – 1424 .
  • Boussinesq , J. 1877 . Essai sur la theorie des eaux courantes. . Mem. Acad. Sci. Inst. France , 23 ( 1 ) : 252 – 260 .
  • Brutsaert , W. 1994 . The unit response of groundwater outflow from a hillslope. . Water Resour. Res. , 30 ( 10 ) : 2559 – 2763 .
  • Brutsaert , W. 1995 . Reply to Comment of T. Chapman on: The unit response of groundwater outflow from a hillslope. . Water Resour. Res. , 31 ( 9 ) : 2379 – 2780 .
  • Chapman , T. 1995 . Comment on: The unit response of groundwater outflow from a hillslope. . Water Resour. Res. , 31 ( 9 ) : 2376 – 2777 .
  • Chapman , T. G. 2005 . Recharge-induced groundwater flow over a plane sloping bed: solutions for steady and transient flow using physical and numerical models. . Water Resour. Res. , 41 : W07027 doi:10.1029/2004WR003606
  • Fan , Y. and Bras , R. 1998 . Analytical solutions to hillslope subsurface stormflow and saturation overland flow. . Water Resour. Res. , 34 : 921 – 927 .
  • Henderson , F. M. and Wooding , R. A. 1964 . Overland flow and groundwater flow from a steady rainfall of finite duration. . J. Geophys. Res , 69 ( 8 ) : 1531 – 1540 .
  • Koussis , A. D. 1992 . A linear conceptual subsurface storm flow model. . Water Resour. Res. , 28 ( 4 ) : 1047 – 1052 .
  • Koussis , A. D. and Lien , L.-T. 1982 . Linear theory of subsurface stormflow. . Water Resour. Res. , 18 ( 6 ) : 1738 – 1740 .
  • Koussis , A. D. , Smith , M. E. , Akylas , E. and Tombrou , M. 1998 . Groundwater drainage flow in a soil layer resting on an inclined leaky bed. . Water Resour. Res. , 34 ( 11 ) : 2879 – 2887 .
  • Pauwels , V. R. N. , Verhoest , N. E. C. and De Troch , F. P. 2002 . A metahillslope model based on an analytical solution to a linearized Boussinesq equation for temporally variable recharge rates. . Water Resour. Res. , 38 ( 12 ) : 1297 doi:10.1029/2001WR000714
  • Polubarinova-Kochina , P. Ya. 1962 . Theory of Groundwater Movement Edited by: De Wiest , R. J. M. Princeton, New Jersey : Princeton University Press . (translated from Russian by)
  • Tennekes , H. and Lumley , J. L. 1972 . A First Course in Turbulence Boston, Massachusetts, USA : MIT Press .
  • Troch , P. A. , Paniconi , C. and van Loon , E. E. 2003 . Hillslope-storage Boussinesq model for subsurface flow and variable source areas along complex hillslopes: 1. Formulation and characteristic response. . Water Resour. Res. , 39 ( 11 ) doi:10.1029/2002WR001728
  • Verhoest , N. E. C. and Troch , P. A. 2000 . Some analytical solutions of the linearized Boussinesq equation with recharge for a sloping aquifer. . Water Resour. Res. , 36 ( 3 ) : 793 – 800 .
  • Werner , P. W. 1957 . Some problems in non-artesian ground-water flow. . Eos Trans. Am. Geophys. Union , 38 : 511 – 518 .
  • Wooding , R. A. and Chapman , T. G. 1966 . Groundwater flow over a sloping impermeable layer, 1. Application of the Dupuit-Forchheimer assumption. . J. Geophys. Res , 71 ( 12 ) : 2895 – 2902 .

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