A new analytical solution solved by triple series equations method for constant-head tests in confined aquifers

Ya Chi Chang, Hund-Der Yeh*

*此作品的通信作者

研究成果: Article同行評審

10 引文 斯高帕斯(Scopus)

摘要

The constant-head pumping tests are usually employed to determine the aquifer parameters and they can be performed in fully or partially penetrating wells. Generally, the Dirichlet condition is prescribed along the well screen and the Neumann type no-flow condition is specified over the unscreened part of the test well. The mathematical model describing the aquifer response to a constant-head test performed in a fully penetrating well can be easily solved by the conventional integral transform technique under the uniform Dirichlet-type condition along the rim of wellbore. However, the boundary condition for a test well with partial penetration should be considered as a mixed-type condition. This mixed boundary value problem in a confined aquifer system of infinite radial extent and finite vertical extent is solved by the Laplace and finite Fourier transforms in conjunction with the triple series equations method. This approach provides analytical results for the drawdown in a partially penetrating well for arbitrary location of the well screen in a finite thickness aquifer. The semi-analytical solutions are particularly useful for the practical applications from the computational point of view.

原文English
頁(從 - 到)640-651
頁數12
期刊Advances in Water Resources
33
發行號6
DOIs
出版狀態Published - 1 6月 2010

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