Stream Depletion in a Two-Layer Leaky Aquifer System
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VIEW THE REPLYPublication: Journal of Hydrologic Engineering
Volume 14, Issue 9
Abstract
A new semianalytical stream-depletion solution is obtained for pumping from a well beside a stream in a two-layer leaky aquifer system. The well abstracts water from an upper unconfined aquifer underlain by an aquitard and a second semiconfined aquifer. The governing equations reduce to the equations that describe flow in a Hantush-Jacob leaky aquifer, in which the bottom aquifer has zero drawdown for all time, when the storativity of the bottom aquifer becomes infinite. This allows a Hantush-Jacob leaky aquifer solution to be compared with the solution for a bottom aquifer with finite storativity, and this comparison shows that the Hantush-Jacob approximation significantly underestimates stream depletion at larger values of time. In addition, comparison of the two-aquifer solution with a stream-depletion solution for a single aquifer shows that a single-aquifer solution closely approximates the two-aquifer solution when the single-aquifer transmissivity is replaced with the sum of transmissivities for the two-layer system. This suggests that a similar approximation might be used in a previously obtained solution to obtain a very general stream depletion model for multiaquifer systems.
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Acknowledgments
The writer is grateful to David Scott of Environment Canterbury for his comments on a draft of this manuscript. Constructive comments by the reviewers are also very much appreciated.
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© 2009 ASCE.
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Received: Aug 18, 2008
Accepted: Dec 15, 2008
Published online: Feb 19, 2009
Published in print: Sep 2009
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