Calculation of Groundwater Integral
Author: Bruce HuntAuthor Affiliations
Publication: Journal of Hydrologic Engineering
Volume 10, Issue 6
Abstract
Series expansions are obtained for a contour integral that appears in some solutions for flow in aquifers that have a bottom impermeable boundary and are capped on top with an aquitard containing a shallow standing water table. These solutions describe drawdown for delayed-yield flow to a well and the stream depletion and drawdown that occur when water is pumped from a well beside a stream. Hunt in 2003 previously gave a series expansion for the calculation of this integral for a somewhat more limited range of its parameters. However, the series expansions obtained herein give a more accurate and efficient way to compute values for this integral over the entire permissible range of its parameters.
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References
Bender, C. M., and Orszag, S. A. (1978). Advanced mathematical methods for scientists and engineers, International student Ed., McGraw-Hill, London, 122–128.
Hildebrand, F. B. (1976). Advanced calculus for applications, 2nd Ed., Prentice-Hall, Englewood Cliffs, N.J., 165–166.
Hunt, B. (2003). “Unsteady stream depletion when pumping from semiconfined aquifer.” J. Hydrologic Eng., 8(1), 12–19.
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© 2005 ASCE.
History
Received: Apr 29, 2003
Accepted: Feb 8, 2005
Published online: Nov 1, 2005
Published in print: Nov 2005
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Bruce Hunt
Reader, Dept. of Civil Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch, New Zealand.
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