Analytical Solutions for Constant-Flux and Constant-Head Tests at a Finite-Diameter Well in a Wedge-Shaped Aquifer
Publication: Journal of Hydraulic Engineering
Volume 135, Issue 4
Abstract
Neglecting the effect of well radius may lead to a significant error in the predicted drawdown distribution near the pumping well area. New analytical solutions describing aquifer responses to a constant pumping or a constant head maintained at a finite-diameter well in a wedge-shaped aquifer are derived based on the image-well method and applicable to an arbitrarily located well in the system. The solutions are useful for quantifying groundwater exploitation from a wedge-shaped aquifer and for determining the hydrogeological parameters of a wedge-shaped aquifer in inverse problems.
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Acknowledgments
This research was supported in part by a grant from Taiwan National Science Council under Contract No. NSC95-2221-E-009-017. The writers would like to thank the editor and four anonymous reviewers for their constructive comments and suggested revisions.
References
Carslaw, H. S., and Jaeger, J. C. (1959). Conduction of heat in solids, 2nd Ed., Clarendon, Oxford, U.K.
Chan, Y. K., Mullineux, N., and Reed, J. R. (1976). “Analytical solutions for drawdowns in rectangular artesian aquifers.” J. Hydrol., 31(1–2), 151–160.
Chan, Y. K., Mullineux, N., Reed, J. R., and Wells, G. G. (1978). “Analytical solution for drawdowns in wedge-shaped artesian aquifers.” J. Hydrol., 36(3–4), 233–246.
Ferris, J. G., Knowles, D. B., Brown, R. H., and Stallman, R. W. (1962). “Theory of aquifer tests.” Water-Supply Paper No. 1536-E, U.S. Geological Survey, Washington, D.C.
Kuo, M. C. T., Wang, W. L., Lin, D. S., and Chiang, C. J. (1994). “An image-well method for predicting drawdown distribution in aquifers with irregularly shaped boundaries.” Ground Water, 32(5), 794–804.
Murdoch, L. C., and Franco, J. (1994). “The analysis of constant drawdown wells using instantaneous source functions.” Water Resour. Res., 30(1), 117–124.
Renard, P. (2005). “Approximate discharge for constant head test with recharging boundary.” Ground Water, 43(3), 439–442.
Streltsova, T. D. (1988). Well testing in heterogeneous formations, Wiley, New York.
Theis, C. V. (1935). “The relation between the lowering of the piezometric surface and the rate and duration of discharge of a well using groundwater storage.” Trans., Am. Geophys. Union, 16(2), 519–524.
van Everdingen, A. F., and Hurst, W. (1949). “The application of the Laplace transformation to flow problems in reservoirs.” Trans. AIME, 186(12), 305–324.
Yeh, H. D., and Chang, Y. C. (2006). “New analytical solutions for groundwater flow in wedge-shaped aquifers with various topographic boundary conditions.” Adv. Water Resour., 29(3), 471–480.
Yeh, H. D., Yang, S. Y., and Peng, H. Y. (2003). “A new closed-form solution for a radial two-layer drawdown equation for groundwater under constant-flux pumping in a finite-radius well.” Adv. Water Resour., 26(7), 747–757.
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© 2009 ASCE.
History
Received: Oct 30, 2007
Accepted: Oct 21, 2008
Published online: Apr 1, 2009
Published in print: Apr 2009
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