TECHNICAL NOTE
Oct 1, 2000

Rate and Volume of Stream Depletion due to Pumping

Publication: Journal of Irrigation and Drainage Engineering
Volume 126, Issue 5

Abstract

The two analytical solutions researched by Theis, and also Glover and Balmer, for the rate of stream depletion are shown to be the same in the mathematical sense by solving the integral appearing in the Theis solution. Expressions for the volume of stream depletion expressed as a fraction of total volume pumped relative to the rate of depletion are obtained for pumping and recovery. The optimum location of a well near the stream and the time to reach equilibrium are suggested.

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References

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de Hann,B., ( 1939). Nouvelles tables d'inté grales de finies, Table 91, No. 13, Stechert & Company, New York.
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Glover, R. E., and Balmer, G. G. ( 1954). “River depletion resulting from pumping a well near a river.” Trans. Am. Geophys. Union, 35, 468–470.
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Jenkins, C. T. ( 1970). “Computation of rate and volume of stream depletion by wells.” Techniques of water resource investigation, Book 4, Chapter D-1, USGS.
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Theis, C. V. ( 1941). “The effect of a well on the flow of a nearby stream.” Trans. Am. Geophys. Union, 22, 734–738.
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Information

Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 126Issue 5October 2000
Pages: 336 - 338

History

Received: Jul 6, 1999
Published online: Oct 1, 2000
Published in print: Oct 2000

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Authors

Affiliations

Sushil K. Singh
Sci. E and Head, G.P.S. Regional Centre, Nat. Inst. of Hydrology, 278 Manorama Colony, Sagar, (M.P.) 470 001, India; formerly, Sci., Nat. Inst. of Hydrology, Roorkee (U.P.) 247 667, India. E-mail: nihrcs@gwr1. dot.net.in

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