Semianalytical Time Integration for Transient Groundwater Flow in Confined Aquifers
Publication: Journal of Hydrologic Engineering
Volume 12, Issue 1
Abstract
A semianalytical time integration method is proposed for the ordinary differential equations produced by the spatial discretization of the transient groundwater flow equation. Instead of approximating the time derivative by finite difference, the proposed method approximates the exact solution of the ordinary differential equations. The method is unconditionally stable; the accuracy depends only on the approximation accuracy of the stress; for piecewise constant or linear stress (e.g., pumping) in time, the solution can be exact; and the time step size can be as long as a stress period. The tradeoff is the computational cost, which can be reduced by using larger and less variable time step sizes. Two examples are given to show the performance of the semianalytical time integration method.
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Acknowledgments
This material is based upon work supported by the National Science Foundation under Grant No. NSFCMS-0093752 (CAREER program). This research is also partially supported by CenSSIS, the Center for Subsurface Sensing and Imaging systems, under the Engineering Research Centers Program of the National Science Foundation (Grant No. NSFEEC-9986821). Any opinions, findings, and conclusions or recommendations expressed in this material are those of the writers and do not necessarily reflect the views of the National Science Foundation.
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Published In
Journal of Hydrologic Engineering
Volume 12 • Issue 1 • January 2007
Pages: 73 - 82
Copyright
© 2007 ASCE.
History
Received: May 20, 2005
Accepted: Jun 7, 2006
Published online: Jan 1, 2007
Published in print: Jan 2007
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