Response of Unconfined Aquifer to Sudden Change in Boundary Head
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Volume 123, Issue 1
Abstract
Simple, analytical approximations to the solution of the one-dimensional Boussinesq equation are obtained using a weighted residual method. The approach can be applied to both the recharging and the dewatering of an unconfined, homogeneous aquifer from a fully penetrating trench. Estimates for recharge, discharge, and the elevation of the water table are given by explicit algebraic expressions. Comparison with numerical solutions illustrates the accuracy of these new formulas.
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References
1.
Crank, J. (1975). The mathematics of diffusion. Clarendon Press, Oxford, England.
2.
de Marsily, G. (1986). Quantitative hydrogeology. Academic Press, Inc., San Diego, Calif.
3.
Fetter, C. W. (1988). Applied hydrogeology. Merrill Pub. Co.
4.
Hall, F. R., and Moench, A. F.(1972). “Application of the convolution equation to stream-aquifer relations.”Water Resour. Res., 8, 487–493.
5.
Haushild, W., and Kruse, G.(1962). “Unsteady flow of ground water into a surface reservoir.”Trans. ASCE, 127, 408–415.
6.
Lisle, I. G., Parlange, J.-Y., and Haverkamp, R.(1987). “Exact desorptivities for power law and exponential diffusivities.”Soil Sci. Soc. Am. J., 51, 867–869.
7.
Lockington, D.(1993). “Estimating the sorptivity for a wide range of diffusivity dependence on water content.”Transp. in Porous Media, 10, 95–101.
8.
Lockington, D.(1994a). “On a weighted residual method for absorption.”Transp. in Porous Media, 16, 299–302.
9.
Lockington, D.(1994b). “Falling-rate evaporation and desorption estimates.”Water Resour. Res., 30, 1071–1074.
10.
Marino, M. A.(1973). “Water-table fluctuation in semi-pervious stream-unconfined aquifer systems.”J. Hydro., 19, 43–52.
11.
Mathematica (2.2). (1992). Wolfram Research, Inc.
12.
Parlange, J.-Y., and Brutsaert, W. (1987). “A capillarity correction for free surface flow of groundwater.”Water Resour. Res., 23, 805– 808.
13.
Parlange, J.-Y., Stagnitti, F., Starr, J. L., and Braddock, R. D.(1984). “Free-surface flow in porous media and periodic solution of the shallow-flow approximation.”J. Hydro., 70, 251–263.
14.
Parlange, J.-Y., Barry, D. A., Parlange, M. B., and Lockington, D. A.(1994). “Sorptivity calculation for arbitrary diffusivity.”Transp. in Porous Media, 15, 197–208.
15.
Perrochet, P., and Musy, A.(1992). “A simple formula to calculate the width of hydrological buffer zones between drained agricultural plots and nature reserve areas.”Irrig. and Drain. Sys., 6, 69–81.
16.
Sidiropoulos, E. G., and Tolikas, P. K.(1984). “Similarity and iterative solution of the Boussinesq equation.”J. Hydro., 74, 31–41.
17.
Tolikas, P. K., Sidiropoulos, E. G., and Tzimopoulos, C. D.(1984). “A simple analytical solution for the Boussinesq one-dimensional groundwater flow equation.”Water Resour. Res., 20, 24–28.
18.
Troch, P. A., De Troch, F. P., and Brutsaert, W.(1993). “Effective water table depth to describe initial conditions prior to storm rainfall in humid regions.”Water Resour. Res., 29, 427–434.
19.
van de Geisen, N. C., Parlange, J.-Y., and Steenhuis, T. S. (1994). “Transient flow to open drains: comparison of linearised solutions with and without Dupuit assumption.”Water Resour. Res., 30, 3033– 3039.
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Published In
Journal of Irrigation and Drainage Engineering
Volume 123 • Issue 1 • January 1997
Pages: 24 - 27
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Jan 1, 1997
Published in print: Jan 1997
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