A new closed-form solution for a radial two-layer drawdown equation for groundwater under constant-flux pumping in a finite-radius well

Hund-Der Yeh*, Shaw Yang Yang, Huan Yi Peng

*此作品的通信作者

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52 引文 斯高帕斯(Scopus)

摘要

A mathematical model is presented for describing the groundwater flow in a radial two-layer confined aquifer system with a constant-flux pumping well that has a wellbore skin and finite well radius. The Laplace-domain solution for the model is first derived by the Laplace transforms; and the time-domain solution in terms of the aquifer drawdown is then obtained form the Laplace inversion using the Bromwich integral method. When neglecting the well radius, our Laplace-domain solution is shown to reduce to a Laplace-domain solution given by Butler [J. Hydrol. 101 (1988) 15]. A unified numerical approach including a root search approach, the Gaussian quadrature, and the Shanks method is employed for evaluating this time-domain solution. The evaluated results of the solution agree well with those of the Laplace-domain solution estimated by the modified Crump algorithm. This new solution can be used either to predict the spatial and temporal drawdown distributions in both the skin and formation zones or to investigate the effects of the skin type, skin thickness and well radius on the drawdown distribution.

原文English
頁(從 - 到)747-757
頁數11
期刊Advances in Water Resources
26
發行號7
DOIs
出版狀態Published - 1 一月 2003

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