標題: A General Semi-Analytical Solution for Three Types of Well Tests in Confined Aquifers with a Partially Penetrating Well
作者: Yang, Shaw-Yang
Yeh, Hund-Der
環境工程研究所
應用化學系
Institute of Environmental Engineering
Department of Applied Chemistry
關鍵字: Pumping test;Slug test;Semi-analytical solution;Laplace transform;Finite Fourier cosine transform;Well partial penetration
公開日期: 1-Oct-2012
摘要: This note develops a general mathematical model for describing the transient hydraulic head response for constant-head test, constant-flux test, and slug test in a radial confined aquifer system with a partially penetrating well. The Laplace-domain solution for the model is derived by applying the Laplace transform with respect to time and finite Fourier cosine transform with respect to the z-direction. This new solution has been shown to reduce to the constant-head test when discounting the wellbore storage and maintaining a constant well water level. This solution can also be reduced to the constant-flux test solution when discounting the wellbore storage and keeping a constant pumping rate in the well. Moreover, the solution becomes the slug test solution when there is no pumping in the well. This general solution can be used to develop a single computer code to estimate aquifer parameters if coupled with an optimization algorithm or to assess the effect of well partial penetration on hydraulic head distribution for three types of aquifer tests.
URI: http://dx.doi.org/10.3319/TAO.2012.05.22.02(WMH)
http://hdl.handle.net/11536/20448
ISSN: 1017-0839
DOI: 10.3319/TAO.2012.05.22.02(WMH)
期刊: TERRESTRIAL ATMOSPHERIC AND OCEANIC SCIENCES
Volume: 23
Issue: 5
起始頁: 577
結束頁: 584
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