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Dec 1, 2008

Approximation of M Function for Partially Penetrating Wells

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Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 6

Abstract

A computationally simple approximation of the Hantush M function is proposed. Using this approximation, an optimization method is proposed for identifying the aquifer parameters from early drawdowns around partially penetrating wells. The aquifer parameters are hydraulic conductivity and specific storage. The application of the method is illustrated using a field example. The proposed method results in a 120-fold saving in time when compared to the prior method. It is hoped that the proposed approximation and method will be of help to the field engineers and practitioners.

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References

Barry, D. A., Parlange, J.-Y., and Crapper, M. (1999). “Approximation for the Hantush M-function.” J. Hydrol., 221, 91–96.
Boonstra, J. (1992). “Aquifer tests with partially penetrating wells: Theory and practice.” J. Hydrol., 137, 165–179.
Hantush, M. S. (1961a). “Aquifer tests on partially-penetrating wells.” J. Hydr. Div., 87(5), 171–195.
Hantush, M. S. (1961b). “Drawdown around a partially-penetrating well.” J. Hydr. Div., 87(4), 83–98.
Kruseman, G. P., and de Ridder, N. A. (1990). “Analysis and evaluation of pumping test data.” Publ. No. 47, International Institute for Land Reclamation and Improvement (ILRI), Wageningen, The Netherlands.
Marquardt, D. W. (1963). “An algorithm for least squares estimation of nonlinear parameters.” J. Soc. Ind. Appl. Math., 11, 431–441.
Singh, S. K. (2001). “Identifying impervious boundary and aquifer parameters from pump-test data.” J. Hydraul. Eng., 127(4), 280–285.
Singh, S. K. (2008). “Diagnostic curve for confined aquifer parameters from early drawdowns.” J. Irrig. Drain. Eng.134(4), 515–520.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 134Issue 6December 2008
Pages: 861 - 863

History

Received: Jul 20, 2007
Accepted: Dec 28, 2007
Published online: Dec 1, 2008
Published in print: Dec 2008

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Sushil K. Singh [email protected]
Scientist, National Institute of Hydrology, Roorkee 247 667, Uttarakhand, India. E-mail: [email protected]

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