Improved Spring Depletion Solution and Analysis
Publication: Journal of Hydrologic Engineering
Volume 13, Issue 7
Abstract
A relatively straightforward approach has been used to obtain solutions for spring depletion and drawdowns when water is abstracted from a well near a spring. The aquifer system, which consists of a semiconfined pumped aquifer overlain by an aquitard containing a free surface, is identical with the aquifer system used in a solution obtained previously by Hunt and was first used by Boulton to obtain his well known solution for delayed yield flow to a well. The derived solution uses the Stehfest algorithm for the numerical inversion of a Laplace transform and is more complete than the solution obtained earlier by Hunt, since it gives drawdown solutions in addition to a solution for spring depletion. Calculations are carried out to show the influence of parameters in the problem before using the solution to fit calculated curves to field measurements that were made for an MS study by Smith. Good agreement is obtained between measurements and the calculated curves, which suggests that the mathematical solution gives an accurate description of the physical model.
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Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 13 • Issue 7 • July 2008
Pages: 577 - 584
Copyright
© 2008 ASCE.
History
Received: Sep 25, 2006
Accepted: Oct 22, 2007
Published online: Jul 1, 2008
Published in print: Jul 2008
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