Simple Approximation of Well Function for Constant Drawdown Variable Discharge Artesian Wells
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Volume 133, Issue 3
Abstract
A simple approximation of the well function for a constant drawdown is developed. This approximation is used to estimate the storage coefficient and transmissivity of the aquifer from observed unsteady discharge under a constant drawdown condition, using an optimization method. Another simple approximation for calculating the total production volume during a time span is also developed. The developed approximations for the well function and production function are accurate within a maximum error of 0.7% for the practical range of the argument.
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References
Glover, R. E. (1978). Transient ground water hydraulics, Chap. 4, Water Resource Publications, Fort Collins, Colo., 37–56.
Jacob, C. E., and Lohman, S. W. (1952). “Nonsteady flow to a well of constant drawdown in an extensive aquifer.” Trans., Am. Geophys. Union, 33(4), 559–569.
Lohman, S. W. (1972). Ground-water hydraulics, Professional Paper 708, U.S. Geological Survey, Washington, D.C., 23–27.
Ojha, C. S. P. (2004). “Aquifer parameters estimation using artesian well test data.” J. Hydrol. Eng., 9(1), 64–67.
Perrochet, P. (2005). “A simple solution to tunnel or well discharge under constant drawdown.” Hydrogeol. J., 13(5–6), 886–888.
Swamee, P. K., Mishra, G. C., and Chahar, B. R. (2000). “Simple approximation for flowing well problem.” J. Irrig. Drain. Eng., 126(1), 65–67.
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© 2007 ASCE.
History
Received: May 27, 2006
Accepted: Dec 29, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007
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