Effect of Recharge Duration on Water-Table Response
Publication: Journal of Irrigation and Drainage Engineering
Volume 122, Issue 4
Abstract
The problem of the effect of recharge duration on water-table response in areas with tile drains is studied using Green's function approach to the linearized Boussinesq's equation for one-dimensional, saturated flow with appropriate boundary conditions. Pulse and decaying sinusoidal type recharge excitations with given periods of drainage are fitted by Fourier series and used as forcing functions. The resulting response equation explicitly predicts water-table buildup over time and the oscillations at dynamic equilibrium, providing a method for analyzing the effect of recharge duration on water-table rise and flow toward the drains. The approach presented herein with this feature, is seen as an improvement on the drainage spacing approach of Maasland and McWhorter for annually repeated recharge events. However, it is seen that the duration of recharge, for constant recharge depth has negligible effect on the maximum water-table rise and flow toward drains at dynamic equilibrium in cases similar to those studied by McWhorter. Peak values of water-table height predicted by both the methods were close as parameters of the flow were changed but with different patterns. The method proposed in this paper results in drainage flow pattern different from the result of McWhorter and will be a useful tool for those cases where more realistic water-table heights and flow toward drains are important.
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References
1.
Ahmad, S., Kashyap, D., and Mathur, B. S.(1991). “Numerical modeling of two-dimensional transient flow to ditches.”J. Irrig. and Drain., ASCE, 117(6), 839–851.
2.
Bear, J. (1972). Dynamics of fluids in porous media . Elsevier, New York, N.Y.
3.
Bittinger, M. W., Danielson, R. E., Evans, N. A., Hart, W. E., Morel-Seytoux, H. J., and Skinner, M. M. (1979). “Impact of irrigation efficiency improvements on water availability in the South Platte River Basin.”Tech. Rep. No. 13, Colorado Water Resour. Res. Inst., Colorado State Univ., Fort Collins, Colo.
4.
Bouwer, H. (1964). “Limitation of the Dupuit-Forcheimer assumption in recharge and seepage.”Paper No. 64-719, Presented at the Winter Meeting of ASAE at New Orleans, La.
5.
Chapman, T. G.(1980). “Modeling groundwater flow over sloping beds.”Water Resour. Res., 16(6), 1114–1118.
6.
Dumm, L. D.(1954). “Drain spacing formula.”Agric. Engrg., 35(10), 726–730.
7.
Dumm, L. D. (1964). “Transient flow concept in subsurface drainage: its validity and use.”Trans., Am. Soc. of Agric. Engrs., 7(2), 142–146, 151.
8.
Dumm, L. D., and Winger, R. J.(1964). “Subsurface drainage system design for irrigated areas using transient flow concept.”Trans., Am. Soc. of Agric. Engrs., 7(2), 147–151.
9.
Eagleson, P. S. (1970). Dynamic hydrology . McGraw-Hill Book Co., New York, N.Y.
10.
Maasland, M.(1959). “Water table fluctuations induced by intermittent recharge.”J. Geophys. Res., 64(5), 549–559.
11.
Maasland, M.(1964). “Water table fluctuations induced by irrigation.”Trans., ASCE, Part III, Paper No. 3423, 128, 142–161.
12.
McWhorter, D. B.(1977). “Drain spacing based on dynamic equilibrium.”J. Irrig. and Drain., ASCE, 103(2), 259–271.
13.
Sagar, B.(1979). “Solution of linearized Boussinesq equation with stochastic boundaries and recharge.”Water Resour. Res., 15(3), 618–624.
14.
Saleh, A. F. M., Steenhuis, T. S., and Walter, M. F.(1989). “Groundwater table simulation under different rice irrigation practices.”J. Irrig. and Drain., ASCE, 115(4), 530–544.
15.
Singh, S. R., and Jacob, C. M.(1977). “Transient analysis of phreatic aquifers lying between two open channels.”Water Resour. Res., 13(2), 411–419.
16.
Soil Conservation Service, USDA. (1974). “Chapter 4: border irrigation.”National engineering handbook, section 15, U.S. Govt. Printing Ofc., Washington, D.C.
17.
Sritharan, S. I. (1984). “Synthesis of design, operation and management of surface irrigation conveyance systems,” PhD dissertation, Dept. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
18.
Strelkoff, T. S., and Katopodes, N.(1977). “Border irrigation hydraulics with zero-inertia.”J. Irrig. and Drain., ASCE, 103(3), 325–342.
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Copyright © 1996 American Society of Civil Engineers.
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Published online: Jul 1, 1996
Published in print: Jul 1996
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