A closed form solution for constant flux pumping in a well under partial penetration condition

Shaw Yang Yang*, Hund-Der Yeh, Pin Yuan Chiu

*Corresponding author for this work

Research output: Contribution to journalArticle

26 Scopus citations

Abstract

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.

Original languageEnglish
Article numberW05502
JournalWater Resources Research
Volume42
Issue number5
DOIs
StatePublished - 1 May 2006

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