Dupuit-Forchheimer solutions for radial flow with linearly varying hydraulic conductivity or thickness of aquifer

作者: Nils-Otto Kitterød

DOI: 10.1029/2004WR003115

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摘要: [1] This paper presents new analytical solutions for steady state piezometric heads in phreatic and confined aquifers with radial flow. The utilize two constant head boundaries a hydraulic conductivity k or thickness of aquifer H that is linear function radius r. Previous applied H, they were usually based on one boundary, which might be superimposed solution allowed discharge recharge at the center aquifer. previous may difficult to apply real because an oversimplification nature. Dupuit-Forchheimer assumption implies vertical gradients are ignored. magnitude error introduced by allowing = H(r) evaluated numerically this paper.

参考文章(11)
K Luther, H.M Haitjema, An analytic element solution to unconfined flow near partially penetrating wells Journal of Hydrology. ,vol. 226, pp. 197- 203 ,(1999) , 10.1016/S0022-1694(99)00146-8
Mark Bakker, Otto D.L. Strack, Analytic elements for multiaquifer flow Journal of Hydrology. ,vol. 271, pp. 119- 129 ,(2003) , 10.1016/S0022-1694(02)00319-0
Kenneth H. Luther, H.M. Haitjema, Numerical experiments on the residence time distributions of heterogeneous groundwatersheds Journal of Hydrology. ,vol. 207, pp. 1- 17 ,(1998) , 10.1016/S0022-1694(98)00112-7
In Wook Yeo, Kang-Kun Lee, Analytical solution for arbitrarily located multiwells in an anisotropic homogeneous confined aquifer Water Resources Research. ,vol. 39, pp. 1133- ,(2003) , 10.1029/2003WR002047
H.M. Haitjema, Analytic Element Modeling Analytic Element Modeling of Groundwater Flow. pp. 203- 305 ,(1995) , 10.1016/B978-012316550-3/50005-2
K. Luther, H.M. Haitjema, Approximate Analytic Solutions to 3D Unconfined Groundwater Flow Within Regional 2D Models Journal of Hydrology. ,vol. 229, pp. 101- 117 ,(2000) , 10.1016/S0022-1694(00)00161-X