Ground-Water Mound Equation for Rectangular Recharge Area
Publication: Journal of Irrigation and Drainage Engineering
Volume 123, Issue 3
Abstract
Artificial recharge of the ground-water table from rectangular basins has been the subject of extensive study in the last 30 years. Although, for finite aquifers, the ground-water mound profile can be accurately predicted, the generalization of finite-aquifer solutions does not hold for infinite aquifers. For an infinite aquifer, the ground-water mound profile has been obtained in the form involving a definite integral (Hantush's mound function). The definite integral has been tabulated for a certain range of arguments. However, to use this table, double interpolation is necessary, which increases the error. Furthermore, a tabular solution cannot be used for analytical purposes. Thus, there is a distinct lack of more useful and computationally preferred algebraic approximations of the definite integral. The present study offers an algebraic approximation of Hantush's mound function.
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References
1.
Bouwer, H. (1978). Groundwater hydrology. McGraw-Hill Book Co., Inc., New York, N.Y.
2.
Griffin, D. M., and Warrington, R. O.(1988). “Examination of 2-D ground water recharge solution.”J. Irrig. and Drain. Engrg., ASCE, 114(4), 891–703.
3.
Hantush, M. S.(1967). “Growth and decay of ground water mounds in response to uniform percolation.”Water Resour. Res., 3(1), 227–235.
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Marino, M. A.(1975). “Artificial ground water recharge—II, rectangular recharging area.”J. Hydro., 26, 29–37.
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Rao, N. H., and Sarma, P. B. S.(1981). “Recharge from rectangular areas to finite aquifers.”J. Hydro., 53, 269–275.
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Walton, W. C. (1970). Ground water resources evaluation. McGraw-Hill Book Co., Inc., New York, N.Y., 368–373.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: May 1, 1997
Published in print: May 1997
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