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A closed form solution for constant flux pumping in a well under partial penetration condition
Author(s) -
Yang ShawYang,
Yeh HundDer,
Chiu PinYuan
Publication year - 2006
Publication title -
water resources research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.863
H-Index - 217
eISSN - 1944-7973
pISSN - 0043-1397
DOI - 10.1029/2004wr003889
Subject(s) - laplace transform , aquifer , sine and cosine transforms , mathematical analysis , inverse laplace transform , mathematics , constant (computer programming) , fourier transform , aquifer test , convolution (computer science) , mechanics , geotechnical engineering , geology , fourier analysis , physics , groundwater , short time fourier transform , computer science , groundwater recharge , programming language , machine learning , artificial neural network
An analytical model for the constant flux pumping test is developed in a radial confined aquifer system with a partially penetrating well. The Laplace domain solution is derived by the application of the Laplace transforms with respect to time and the finite Fourier cosine transforms with respect to the vertical coordinates. A time domain solution is obtained using the inverse Laplace transforms, convolution theorem, and Bromwich integral method. The effect of partial penetration is apparent if the test well is completed with a short screen. An aquifer thickness 100 times larger than the screen length of the well can be considered as infinite. This solution can be used to investigate the effects of screen length and location on the drawdown distribution in a radial confined aquifer system and to produce type curves for the estimation of aquifer parameters with field pumping drawdown data.