Discussion of “Flow to a Well in a Two-Aquifer System” by Bruce Hunt and David Scott
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VIEW THE ORIGINAL ARTICLEPublication: Journal of Hydrologic Engineering
Volume 14, Issue 12
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Acknowledgments
Allen F. Moench pointed out the reference (Stehfest 1970b) for a correction to Stehfest’s (1970a) paper. Solutions using the authors’ drawdown equations plotted in Figs. 2 and 3 were obtained using Function.xls, which was downloaded from Dr. Hunt’s website. A FORTRAN program and documentation for the Denis and Motz (1998) solution can be obtained by contacting the author of this discussion.
References
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.
Denis, R. E., and Motz, L. H. (1998). “Drawdowns in coupled aquifers with confining unit storage and ET reduction.” J. Ground Water, 36(2), 201–207.
Hantush, M. S. (1967). “Flow to wells in aquifers separated by a semipervious layer.” J. Geophys. Res., 72(6), 1709–1719.
Hunt, B. and Scott, D. (2007). “Flow to a well in a two-aquifer system.” J. Hydrol. Eng., 12(2), 146–155.
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, Chapter A1, U. S. Geological Survey, Reston, Va.
Moench, A. F. (1993). “Computation of type curves for flow to partially penetrating wells in water-table aquifers.” J. Ground Water, 31(6), 966–971.
Moench, A. F., and Ogata, A. (1981). “A numerical inversion of the Laplace transform solution to radial dispersion in a porous medium.” Water Resour. Res., 17(1), 250–252.
Moench, A. F., and Ogata, A. (1984). “Analysis of constant discharge wells by numerical inversion of Laplace transform solutions.” Ground Water Hydraulics, Water Resources Monograph Series 9, J. S. Rosenshein and G. D. Bennett, eds. American Geophysical Union, Washington, D.C., 146–170.
Motz, L. H. (1996). “Nonsteady-state drawdowns in two coupled aquifers.” J. Irrig. Drain. Eng., 122(1), 19–23.
Neuman, S. P., and Witherspoon, P. A. (1969). “Theory of flow in a confined two aquifer system.” Water Resour. Res., 5(4), 803–816.
Stehfest, H. (1970a). “Algorithm 368: Numerical inversion of Laplace transforms.” Commun. ACM, 13(1), 47–49.
Stehfest, H. (1970b). “Remark on algorithm 368: Numerical inversion of Laplace transforms.” Commun. ACM, 13(10), 624.
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© 2009 ASCE.
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Received: May 11, 2007
Accepted: Nov 15, 2007
Published online: Nov 13, 2009
Published in print: Dec 2009
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