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Feb 19, 2009

Stream Depletion in a Two-Layer Leaky Aquifer System

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Publication: 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.

References

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 14Issue 9September 2009
Pages: 895 - 903

History

Received: Aug 18, 2008
Accepted: Dec 15, 2008
Published online: Feb 19, 2009
Published in print: Sep 2009

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Authors

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Bruce Hunt
Retired Reader, Dept. of Civil Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch, New Zealand.

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