Identifying Impervious Boundary and Aquifer Parameters from Pump-Test Data
This article has been corrected.
VIEW CORRECTIONPublication: Journal of Hydraulic Engineering
Volume 127, Issue 4
Abstract
The common field problem of identifying and locating impervious aquifer boundaries is generally solved by analyzing the pump-test data. The estimate of the distance between the image well and the observation well (r′) is required for locating the boundary. Popular methods of estimating r′ either use the concept of fully developed two straight lines or rely on curve matching. Curve-matching methods are subjective and involve errors due to personal judgment. A very long duration pump test is required in order that the second straight line is developed. In many cases, the first straight line is not developed at all, especially when the observation well is at a greater distance from the pumped well. In this paper, a derivative-based robust optimization method has been proposed for the identification of aquifer parameters (transmissivity, T and storage coefficient, S) and r′ from the drawdowns observed at an observation well. It returns unbiased estimates of the parameters (T, S, and r′) even with a poor initial guess. The method can yield the estimates of the parameters from shorter duration pump-test data, thus saving time and money involved in conducting the pump test with the purpose of identifying r′. It is observed that the hydraulic diffusivity (T/S) of the aquifer and r′ can be estimated even when the constant rate of pumping is not known.
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References
1.
Abramowitz, M., and Stegun, I. A., eds. ( 1970). Handbook of mathematical functions, Dover, New York, 227–231.
2.
Allen, E. E. ( 1954). “Analytical approximations.” Math. Tables Aids Comp., 8(48), 240–241.
3.
Bardsley, W. E. ( 1991). “Graphical estimation of Theis drawdown function.” J. Hydro., Amsterdam, 128, 357–367.
4.
Burges, S. J. (1993). “Confined aquifer parameters from a pump test near an impermeable boundary.”J. Hydr. Engrg., ASCE, 119(7), 838–845.
5.
Cooper, H. H., and Jacob, C. E. ( 1946). “A generalized graphical method for evaluating formation constants and summarizing well field history.” EOS Trans. AGU, 27, 526–534.
6.
Hastings, C., Jr. ( 1955). Approximations for digital computers, Princeton, N.J.
7.
Karanth, K. R. ( 1987). Ground water assessment: development and management, McGraw-Hill, New York.
8.
Marquardt, D. W. ( 1963). “An algorithm for least squares estimation of nonlinear parameters.” J. Soc. Indust. Appl. Math., 11, 431–441.
9.
McCuen, R. H. ( 1993). Microcomputer application in statistical hydrology, Prentice-Hall, Englewood Cliffs, N.J.
10.
Sageev, A., Horne, R. N., and Ramey, H. J. ( 1985). “Detection of linear boundaries by drawdown test: A semilog type curve matching approach.” Water Resour. Res., 21, 305–310.
11.
Stallman, R. W. ( 1952). “Nonequilibrium type curves modified for two well systems.” USGS, Ground Water Note 3, U.S. Department of the Interior, Washington, D.C.
12.
Theis, C. V. ( 1935). “Relation between the lowering of piezometric surface and the rate and duration of discharge of a well using ground water storage.” EOS Trans. AGU, 16, 519–524.
13.
Todd, D. K. ( 1980). Groundwater hydrology, 2nd ed., Wiley, New York.
14.
Vandenberg, A. ( 1971). “An algorithm for least squares analysis of drawdown in observation wells.” J. Hydro., Amsterdam, 14, 1–18.
15.
Walton, W. C. ( 1970). Ground Water Resource Evaluation, McGraw-Hill, New York.
16.
Water Power Resources Services (WPRS). ( 1981). Ground water manual, 2nd ed., U.S. Department of the Interior, Denver, 150.
17.
Witherspoon, P. A., Javandel, I., Neuman, S. P., and Freeze, R. A. ( 1967). “Interpretation of aquifer gas storage conditions from water pumping tests.” Monograph project NS-38, American Gas Association, New York, 93–128.
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Received: Mar 22, 1999
Published online: Apr 1, 2001
Published in print: Apr 2001
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