Comparison of Analytical Solutions to Evaluate Aquifer Response to Arbitrary Stream Stage
Publication: Journal of Hydrologic Engineering
Volume 19, Issue 1
Abstract
Groundwater table response to arbitrarily varied stream stage is a practical engineering issue related to stream-aquifer interaction processes. A one-dimensional (1D) linear Boussinesq equation is invariably used in the interpretation. Previous studies have emphasized the employment of convolution integration and pulse or function fitting methods to solve this problem. Consequently, complicated mathematical derivations and numerical calculations are involved during an analysis. In this paper, we transformed the previously published solutions into an easily solved formation to investigate this problem. Then the solution is solved based on the trapezoidal method and applied in cases. The solution fits favorably with the previous classic solutions in the simulations of groundwater table responses to sinusoidal, linear, and unit step rise varied stream stages. This approach was also applied to interpret groundwater table fluctuations induced by typical flood waves and field measured stream stage fluctuations. The developed approach performs well compared with those solved numerically by function fitting methods and modular finite-difference flow model (MODFLOW). This analytical solution potentially provides a rapid and simple way to estimate aquifer responses to any type of stream stage variation.
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Acknowledgments
The authors thank Prof. Chen in Sun Yat-Sen University and all the members in the hydrology laboratory in Kumamoto University for the comments and suggestions to improve the quality of this paper. Some portions of this study were supported by the groundwater environmental leader program of Kumamoto University (GELK) in Japan. Special thanks should be given to the editors and three anonymous reviewers for their constructive suggestions to improve the quality of this paper.
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Information & Authors
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Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 1 • January 2014
Pages: 133 - 139
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Mar 23, 2012
Accepted: Jan 3, 2013
Published online: Jan 5, 2013
Discussion open until: Jun 5, 2013
Published in print: Jan 1, 2014
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