Three-Dimensional Semianalytical Solutions of Groundwater Flow to a Well in Fractured Wedge-Shaped Aquifers
Publication: Journal of Hydrologic Engineering
Volume 15, Issue 12
Abstract
The three-dimensional Laplace domain solutions of groundwater flow to a well in fractured double porosity confined, unconfined, and leaky wedge-shaped aquifers are developed. Three wedge boundary configurations: (1) two constant head zero drawdown; (2) two impermeable; and (3) one constant head zero drawdown and one impermeable wedge boundary are considered. Dimensionless drawdowns are obtained for different wedge boundary configurations to investigate flow system behavior. Lateral boundary dimensionless flux at a representative line is also calculated for two constant head zero drawdown configuration and its sensitivity to the matrix hydraulic parameters are investigated. Results of our study are presented in the form of dimensionless flux-dimensionless time and dimensionless drawdown-dimensionless time, type curves. The results are useful for evaluating the role of matrix hydraulic parameters on lateral boundary depletion rate and investigation of flow system behavior in double porosity wedge-shaped aquifers with different lateral boundary configurations. The presented analytical solutions can also be used in parameter identification, stream depletion rate estimation and numerical models verification.
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Acknowledgments
This paper was prepared while the second writer was on a sabbatical leave in the Department of Earth and Environmental Sciences at the University of Waterloo, Waterloo, ON, Canada. Constructive comments and suggestions provided by editor, subeditor, and two anonymous reviewers are acknowledged.
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Information & Authors
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Published In
Journal of Hydrologic Engineering
Volume 15 • Issue 12 • December 2010
Pages: 974 - 984
Copyright
© 2010 ASCE.
History
Received: Jan 6, 2010
Accepted: Apr 28, 2010
Published online: May 11, 2010
Published in print: Dec 2010
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