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Mar 1, 2007

Flow to a Well in a Two-Aquifer System

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Publication: Journal of Hydrologic Engineering
Volume 12, Issue 2

Abstract

An approximate solution for flow to a well in an aquifer overlain by both an aquitard and a second aquifer containing a free surface is obtained from numerical inversions of exact analytical solutions for Laplace transforms. This study extends previous work on this topic in three ways: (1) it improves an eigenvalue decomposition solution method used earlier by Hemker and Maas in 1987 for unsteady flow in multiaquifer systems; (2) it obtains an approximate solution that is simpler to evaluate than previously known solutions; and (3) it utilizes a much more general solution from a MODFLOW finite-difference model to explore both limitations of the approximate solution and the physical behavior of the two-aquifer system. In addition, criteria are obtained that show when the two-aquifer solution can be replaced with the simpler Boulton solution when analyzing pumping test field data.

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References

Boulton, N. S. (1954). “Unsteady radial flow to a pumped well allowing for delayed yield from storage.” Int. Ass. Sci. Hydrol., Publication 37, 472–477.
Boulton, N. S. (1963). “Analysis of data from non-equilibrium pumping tests allowing for delayed yield from storage.” Proc.-Inst. Civ. Eng., 26(6693), 469–482.
Boulton, N. S. (1973). “The influence of delayed drainage on data from pumping tests in unconfined aquifers.” J. Hydrol., 19(2), 157–169.
Cheng, A. H.-D., and Morohunfola, O. K. (1993). “Multilayered leaky aquifer systems. 1: Pumping well solutions.” Water Resour. Res., 29(8), 2787–2800.
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Hantush, M. S. (1964). “Hydraulics of wells.” Advances in hydroscience, V. T. Chow, ed., Academic, New York.
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Hantush, M. S., and Jacob, C. E. (1955). “Non-steady radial flow in an infinite leaky aquifer.” Trans., Am. Geophys. Union, 36(1), 95–100.
Hemker, C. J. (1984). “Steady groundwater flow in leaky multiple-aquifer systems.” J. Hydrol., 72(3/4), 355–374.
Hemker, C. J., and Maas, C. (1987). “Unsteady flow to wells in layered and fissured aquifer systems.” J. Hydrol., 90(3/4), 231–249.
Hildebrand, F. B. (1965). Methods of applied mathematics, Prentice-Hall, Englewood Cliffs, N.J.
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Hunt, B., and Scott, D. (2005). “Extension of the Hantush and Boulton solutions.” J. Hydrol. Eng., 10(3), 223–236.
McDonald, M. G., and Harbaugh, A. W. (1988). “A modular three-dimensional finite-difference ground-water flow model.” USGS techniques of water-resources investigations, Book 6, Chap. A1, United States Geological Survey, Reston, Va.
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Information & Authors

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Published In

Go to Journal of Hydrologic Engineering
Journal of Hydrologic Engineering
Volume 12Issue 2March 2007
Pages: 146 - 155

History

Received: Apr 20, 2005
Accepted: Jun 22, 2006
Published online: Mar 1, 2007
Published in print: Mar 2007

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Authors

Affiliations

Bruce Hunt
Retired Reader, Dept. of Civil Engineering, Univ. of Canterbury, Private Bag 4800, Christchurch, New Zealand.
David Scott
Groundwater Hydrologist, Environment Canterbury, P.O. Box 345, Christchurch, New Zealand.

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