Drawdowns due to Intermittent-Pumping Cycles
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VIEW THE REPLYPublication: Journal of Hydraulic Engineering
Volume 130, Issue 6
Abstract
This paper offers solutions for drawdowns due to intermittent pumping cycles or cyclic pumping, which are high accuracy approximations of the series of Theis functions superimposed in time. The proposed approximation formulas are an improvement over the earlier works. The earlier approximations are valid only if the number of pumping cycles is greater than 10 and involve gamma functions that are less convenient to evaluate than the rational approximation formulas offered in this paper. The proposed approximations are valid for any number of pumping cycles and involve simple functions that can be computed even using a calculator. The drawdown functions are defined for the drawdowns at the end of pumping or shutoff periods. The proposed expressions for these functions are also suitable for the estimation of aquifer parameters by plotting the observed drawdowns on semilogarithmic paper. Procedures for estimation of storage coefficient and head loss at the well from cyclic pumping drawdowns are not available. This paper also offers procedures for the estimation of transmissivity, storage coefficient, and head loss at the pumped well from the observed intermittent (cyclic) pumping drawdowns.
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References
Abramowitz, M., and Stegun, I. A. (1970). Handbook of mathematical tables, Dover, Washington, D.C.
Appel, C. A.(1967). “Discussion of ‘Determining transmissibility from cyclic discharge’ by N. Thomas Sheahan.” Ground Water, 5(1), 55.
Aron, G., Scott, V. H., and Abu-Zied, M. A.(1967). “Cyclic pumping for drainage purposes.” Ground Water, 5(1), 35–37.
Bear, J. (1979). Hydraulics of groundwater, McGraw-Hill, New York, 323–325.
Brown, R. H. (1963). “Drawdowns resulting from cyclic intervals of discharge, in: Methods of determining permeability, transmissibility, and drawdown.” Water Supply Paper No. 1536-1, Geological Survey, U.S. Dept. of the Interior, Washington, D.C.
Karanth, K. R. (1987). Ground water assessment, development and management, Tata McGraw-Hill, New Delhi, India, 143–145.
Korn, G. A., and Korn, T. A. (1961). Mathematical handbook for scientists and engineers, McGraw-Hill, New York, 698.
Lennox, D. H., and Vandenberg, A.(1967). “Drawdowns due to cyclicpumping.” J. Hydraul. Div., Am. Soc. Civ. Eng., 93(6), 35–51.
McWhorter, D. B., and Sunada, D. K. (1977). Ground-water hydrology and hydraulics, Water Resources, Fort Collins, Colo., 190–194.
Sheahan, N. T.(1966). “Determining transmissibility from cyclic discharge.” Ground Water, 4(3), 33–34.
Singh, S. K.(2000). “Simple method for confined-aquifer parameter estimation.” J. Irrig. Drain. Eng., 126(6), 404–407.
Singh, S. K.(2002a). “Well loss estimation: Variable pumping replacing step drawdown test.” J. Hydraul. Eng., 128(3), 343–348.
Singh, S. K.(2002b). “Aquifer boundaries and parameter identification simplified.” J. Hydraul. Eng., 128(8), 774–780.
Tavener, G. F.(1967). “Maximum drawdown in intermittently pumped well.” Ground Water, 5(1), 39–41.
Theis, C. V., and Brown, R. H. (1954). “Drawdowns in wells responding to cyclic pumping.” U.S. Geological Survey, Ground-Water Note 23.
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Published In
Journal of Hydraulic Engineering
Volume 130 • Issue 6 • June 2004
Pages: 568 - 575
Copyright
Copyright © 2004 American Society of Civil Engineers.
History
Received: May 3, 2002
Accepted: Dec 9, 2003
Published online: May 14, 2004
Published in print: Jun 2004
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