Stream Depletion from Pumping a Semiconfined Aquifer in a Two-Layer Leaky Aquifer System
Publication: Journal of Hydrologic Engineering
Volume 16, Issue 11
Abstract
We consider the case of pumping a semiconfined aquifer overlain by a phreatic aquifer hydraulically connected to an infinitely long and straight stream. The hydraulics of the system are described by a linearized model in which it is assumed that flow in the aquifers is essentially horizontal, and that drawdown in the phreatic aquifer is small enough to allow the water table to be sufficiently well described by the Theis equation. Fourier-Laplace transforms of drawdown are obtained and numerically inverted. Comparisons are made with another well-known analytic model of Hunt, who considered a single aquifer/aquitard system. It is observed that while both models may have excellent agreement during the initial phase of pumping, the longer-term consequences of sustained pumping are quite distinct.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
In conclusion, we would like to extend our gratitude to Peter Callander for some helpful discussions on this paper and to the reviewers for their useful suggestions. Matlab code for the semianalytic models considered here may be downloaded from http://www.ocmo.co.nz.
References
Bear, J. (1979). Hydraulics of groundwater, Dover Publications, Mineola, NY.
Boulton, N. S. (1954). “The drawdown of the water-table under non-steady conditions near a pumped well in unconfined formation.” Proc. Inst. Civ. Eng., 3(4), 574–579.
Boulton, N. S. (1955). “Unsteady radial flow to a pumped well allowing delayed yield from storage.” Publication de L’Association Internationale d’Hydrologie, Assemblée générale de Rome, 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(3), 469–482.
Boulton, N. S. (1973). “The influence of delayed drainage on data from pumping tests in unconfined aquifers.” J. Hydrol. (Amsterdam), 19(2), 157–169.
Cooley, R. L., and Case, C. M. (1973). “Effect of a water table aquitard on drawdown in an underlying pumped aquifer.” Water Resour. Res., 9(2), 434–447.
Davis, B. (2002). Integral transforms and their applications, Springer, New York.
Duffy, D. G. (2004). Transform methods for solving partial differential equations, Chapman and Hall, Boca Raton, FL.
Hemker, C. J. (1984). “Steady groundwater flow in leaky multiple-aquifer systems.” J. Hydrol. (Amsterdam), 72(3–4), 355–374.
Hemker, C. J. (1985). “Transient well flow in leaky multiple-aquifer systems.” J. Hydrol. (Amsterdam), 81(1–2), 111–126.
Hemker, C. J. (1999a). “Transient well flow in vertically heterogeneous aquifers.” J. Hydrol. (Amsterdam), 225(1–2), 1–18.
Hemker, C. J. (1999b). “Transient well flow in layered aquifer systems: The uniform well-face drawdown solution.” J. Hydrol. (Amsterdam), 225(1–2), 19–44.
Hemker, C. J., and Mas, C. (1987). “Unsteady flow to wells in layered and fissured aquifer systems.” J. Hydrol. (Amsterdam), 90(3–4), 231–249.
Hunt, B. (2003). “Unsteady stream depletion when pumping from semiconfined aquifer.” J. Hydrol. Eng. 8(1), 12–19.
Hunt, B. (2009). “Stream depletion in a two-layer leaky aquifer system.” J. Hydrol. Eng., 14(9), 895–903.
Hunt, B., and Scott, D. (2007). “Flow to a well in a two-aquifer system.” J. Hydrol. Eng., 12(2), 146–155.
Meesters, A. G. C. A., Hemker, C. J., and van den Berg, E. H. (2004). “An approximate analytical solution for well flow in anisotropic layered aquifer systems.” J. Hydrol. (Amsterdam), 296(1–4), 241–253.
Schiff, J. L. (1999). The Laplace transform: Theory and applications, Springer, New York.
Theis, C. V. (1935). “The relation between the lowering of the piezometric surface and the rate of duration of discharge of a well using ground-water storage.” Trans. Am. Geophys. Union, 16(2), 519–524.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 16 • Issue 11 • November 2011
Pages: 955 - 959
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Jul 6, 2010
Accepted: Jan 12, 2011
Published online: Jan 14, 2011
Published in print: Nov 1, 2011
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.