TECHNICAL PAPERS
Jul 1, 1990

Unsteady Drawdown of Water Table

Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 4

Abstract

This paper deals with the development of equations to predict water‐table geometry for flow toward a drain ditch or reservoir whose water surface level is subject to a sudden specified drop. A closed function representing the water‐table geometry is obtained for the classical potential formulation of the problem under initial and boundary conditions related by means of perturbation method. The first‐order term of this closed function is identical to the solutions published by Higgins (1980), for large values of time, by Stallman (1962), and by Bear (1974). The inclusion of the second and third order terms improved the accuracy considerably. The water table profile found as a function of only one variable is predicted for various μ=d0/h0 values, ranging between -1 and 0. Temporal and spatial variations of the water table are obtained for various μ values. The comparison of the present results with those of previous works is also presented.

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References

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Bear, J. (1974). Dynamics of fluids in porous media. American Elsevier Publishing Co., Inc.
2.
Dass, P., and Morel‐Seytoux, H. J. (1974). “Subsurface drainage solutions by Galerkin's methods.” J. Irrig. and Drainage Div., ASCE, 100(1), 1–15.
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Glover, R. E. (1964). “Ground water movement,” Engrg. Monograph, No. 31, U.S. Dept. of the Interior, Bureau of Reclamation, U.S. Government Printing Office, Washington, D.C.
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Higgins, D. T. (1980). “Unsteady drawdown in 2‐D water table aquifer.” J. Irrig. and Drainage Div., ASCE, 106(3), 237–251.
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Savci, M. E. (1983). “Unsteady drawdown of water table,” thesis presented to Istanbul Technical University, at Istanbul, Turkey, in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
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Skaggs, R. W. (1975). “Drawdown solutions for simultaneous drainage and ET.” J. Irrig. and Drainage Div., ASCE, 101(4), 279–291.
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Skaggs, R. W., and Tang, K. Y. (1976). “Saturated and saturated flow to parallel drains.” J. Irrig. and Drainage Div., ASCE, 102(2), 221–238.
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Stallman, R. W. (1962). “Theory of aquifer test line sink, constant head, nonsteady‐state, no recharge.” Water Supply Paper, 1936, Geological Survey, U.S. Government Printing Office, Washington, D.C., 126–135.
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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 116Issue 4July 1990
Pages: 508 - 526

History

Published online: Jul 1, 1990
Published in print: Jul 1990

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Authors

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M. Emin Savci
Assoc. Prof., Faculty of Civ. Engrg., Istanbul Tech. Univ., Istanbul, Turkey 80626

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