Analysis of One-Dimensional Ground-Water Flow in a Nonuniform Aquifer
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 8
Abstract
A one-dimensional (1D) flow, resulting from a sudden rise or decline in the water stage of a flood channel in a composite aquifer, which consists of two different regions separated by a linear discontinuity parallel to the channel, is considered. Governing equations are solved analytically for appropriate initial and boundary conditions. The obtained solution allows the determination of water level fluctuations in both regions of the composite aquifer and the time-dependent flow rate to (or from) the aquifer. It is shown that three other solutions found in the literature (solutions for uniform finite aquifer with impervious boundary, uniform finite aquifer with recharge boundary, and uniform semiinfinite aquifer) are special cases of the proposed solution, and they are unified in one form. The proposed solution is a relatively simple means of predicting the variations in the water levels in the aquifer as well as evaluating the time-dependent flow rate. It may also be used for the identification of the aquifer properties and for numerical model validation.
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References
1.
Abdulrazzak, M. J., Sorman, A. U., and Abu Rizaiza, O. (1991). “Estimation of natural recharge.”Final Rep., AR-6-170, KACST, Riyadh, Saudi Arabia.
2.
Bear, J. (1979). Hydraulics of groundwater. McGraw-Hill Inc., New York, N.Y.
3.
Boonstra, J., and Boehmer, W. K.(1986). “Analysis of data from aquifer and well tests in intrusive dikes.”J. Hydro., 88, 301–317.
4.
Butler Jr., J. J., and Liu, W. Z.(1991). “Pumping tests in non-uniform aquifers–the linear strip case.”J. Hydro., 128, 69–99.
5.
Carslaw, H. S., and Jaeger, J. C. (1978). Conduction of heat., 2nd Ed., Oxford University Press, London, England.
6.
Cooper Jr., H. H., and Rorabaugh, M. I. (1963). “Groundwater movements and bank storage due to flood stages in surface streams.”Water Supply Paper 1586-J, U.S. Geological Survey, 352–357.
7.
Dames and Moore. (1988). “Saudi Arabian Dames and Moore, representative basin study for Wadis, Yiba, Habawnah, Tabalah, Liyyah, and Lith.”Final Rep., Wadi Habawnah Basin Rep., Vol. B.
8.
Hall, F. R., and Moench, A. F.(1972). “Application of the convolution equation to stream-aquifer relationships.”Water Resour. Res., 8(2), 487–493.
9.
Lohman, S. W. (1972). “Ground-water hydraulics.”Geological Survey Profl. Paper 708, U.S. Govt. Printing Ofc., Washington, D.C.
10.
Marino, M. A., and Luthin, J. N. (1982). Seepage and groundwater. Elsevier Science Publishers BV (North-Holland), Amsterdam, The Netherlands, 489.
11.
McWhorter, D. B., and Sunada, D. K. (1977). “Ground-Water Hydrology and Hydraulics.”Water Resour. Publ., Fort Collins, Colo., 290.
12.
National Bureau of Standards (NBS). (1972). Handbook of mathematical functions with formulas, graphs, and mathematical tables. Appl. Math. Ser. 55, Abramowitz, M., and Stegun, I. A., eds., Washington, D.C.
13.
Pinder, G. F., Bredehoeft, J. D., and Cooper Jr., H. H.(1969). “Determination of aquifer diffusivity from aquifer response to fluctuations in river stage.”Water Resour. Res., 5(4), 850–855.
14.
Rorabaugh, M. I. (1964). “Estimating changes in bank storage and ground-water contribution to stream flow.”Int. Assn. of Sci. Hydro., Publ. No. 63, 432–441.
15.
Wang, H. F., and Anderson, M. P. (1982). Introduction to groundwater modeling, finite difference and finite element methods. W. H. Freeman and Co., San Francisco, Calif.
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Information
Published In
Journal of Hydraulic Engineering
Volume 123 • Issue 8 • August 1997
Pages: 732 - 736
Copyright
Copyright © 1997 American Society of Civil Engineers.
History
Published online: Aug 1, 1997
Published in print: Aug 1997
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