TECHNICAL PAPERS
Aug 1, 2006

Flow Depletion of Semipervious Streams Due to Unsteady Pumping Discharge

Publication: Journal of Irrigation and Drainage Engineering
Volume 132, Issue 4

Abstract

Analytical expressions for rate and volume of flow depletion of semipervious streams due to sinusoidal variation in pumping rate are obtained. An analytical but approximate method is developed for obtaining the rate and volume of stream flow depletion due to arbitrary unsteady pumping discharge. The method uses the ramp kernel and convolution. The use of ramp kernels permits linear interpolation between two consecutive discretized discharge values. The analytical equations for the ramp kernels for the rate and volume of stream flow depletion are derived. The proposed method is applicable for homogeneous and isotropic aquifers that are hydraulically connected to streams.

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References

Abu-Zied, M. A., Scott, V. H., and Aron, G. (1964). “Modified solution for decreasing discharge wells.” J. Hydraul. Div., Am. Soc. Civ. Eng., 90(6), 145–160.
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Hantush, M. S. (1965). “Wells near streams with semipervious beds.” J. Geophys. Res., 70(12), 2829–2837.
Singh, S. K. (2000). “Rate and volume of stream depletion due to pumping.” J. Irrig. Drain. Eng., 126(5), 336–338.
Singh, S. K. (2003). “Flow depletion of semipervious streams due to pumping.” J. Irrig. Drain. Eng., 129(6), 449–453.
Singh, S. K. (2004). “Aquifer response to sinusoidal or arbitrary stage of semipervious stream.” J. Hydraul. Eng., 130(11), 1108–1118.
Singh, S. K. (2005). “Rate and volume of stream flow depletion due to unsteady pumping.” J. Irrig. Drain. Eng., 131(6), 539–545.
Theis, C. V. (1941). “The effect of a well on the flow of a nearby stream.” Trans., Am. Geophys. Union, 22(3), 734–738.
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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 132Issue 4August 2006
Pages: 406 - 409

History

Received: Dec 30, 2004
Accepted: Sep 30, 2005
Published online: Aug 1, 2006
Published in print: Aug 2006

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Authors

Affiliations

Sushil K. Singh [email protected]
Scientist, National Institute of Hydrology, Jal Vigyan Bhawan, Roorkee-247 667, Uttar Anchal, India. E-mail: [email protected]

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