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Aug 1, 2008

Diagnostic Curve for Confined Aquifer Parameters from Early Drawdowns

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Publication: Journal of Irrigation and Drainage Engineering
Volume 134, Issue 4

Abstract

A diagnostic curve of unimodal shape is developed for identifying the confined aquifer parameters from early drawdowns. A scaled well function is proposed for the diagnostic curve and computationally simple functions are developed for its accurate approximation. The diagnostic curve may be viewed as an alteration of the Theis’ curve or as the generalization of a previous approach proposed by the writer. Plotting the pumping test data in a convenient form and matching it to the diagnostic curve with a parallel shift of axes identify the aquifer parameters. The unimodal shape of the diagnostic curve facilitates matching and reduces the personal errors. The proposed method is simple, easy to apply, and yields accurate estimates of aquifer parameters from only early drawdowns, which would save considerable time and money involved in conducting a long-duration pumping test. The estimates obtained using the new method are as good as those obtained from much more complex methods. The new method does not require either the initial guess for the parameter values or repetitive evaluation of the well function.

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References

Brunone, B., Ferrante, M., and Barluzzi, M. (2003). “Discussion of ‘Simple method for confined aquifer parameter estimation’ by Sushil K. Singh.” J. Irrig. Drain. Eng., 129(3), 219–220.
Chow, V. T. (1952). “On the determination of transmissivity and storage coefficients from pumping test data.” Trans., Am. Geophys. Union, 33(3), 397–404.
Franke, O. L. (1987). “An alternative procedure for analyzing aquifer tests using the Theis nonequilibrium solution.” Ground Water, 25(3), 314–320.
Jacob, C. E. (1963). “Correction of drawdown caused by a pumped well taping less than the full thickness of aquifer.” Methods of determining permeability, transmissibility and drawdown, USGS Water Supply Paper No. 1536-I, Washington, D.C., 272–282.
Kashef, A. I. (1986). Groundwater engineering, McGraw-Hill, New York, 319–320.
Kriz, G. J., Scott, V. H., and Burgy, R. H. (1966). “Graphical determination of confined aquifer parameters.” J. Hydr. Div., 92(5), 39–48.
Lohman, L. W. (1972). “Ground water hydraulics.” USGS Professional Paper No. 708, Washington, D.C.
Marquardt, D. W. (1963). “An algorithm for least squares estimation of nonlinear parameters.” J. Soc. Indust. Appl. Math., 11(2), 431–441.
Singh, S. K. (2000). “Simple method for confined-aquifer parameter estimation.” J. Irrig. Drain. Eng., 126(6), 404–407.
Singh, S. K. (2001a). “Confined aquifer parameters from temporal derivative of drawdowns.” J. Hydraul. Eng., 127(6), 466–470.
Singh, S. K. (2001b). “Identifying impervious boundary and aquifer parameters from pump-test data.” J. Hydraul. Eng., 127(4), 280–285.
Singh, S. K. (2003). “Closure to ‘Simple method for confined-aquifer parameter estimation’ by Sushil K. Singh.” J. Irrig. Drain. Eng., 129(3), 220–223.
Theis, C. V. (1935). “The relation between lowering of piezometric surface and the rate and the duration of discharge of a well using ground-water storage.” Trans., Am. Geophys. Union, 16, 519–524.
Water and Power Resource Service (WPRS). (1981). Ground water manual, 2nd Ed., U.S. Dept. of the Interior, Denver.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 134Issue 4August 2008
Pages: 515 - 520

History

Received: Oct 13, 2005
Accepted: Aug 15, 2006
Published online: Aug 1, 2008
Published in print: Aug 2008

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Authors

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

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