Infiltration from Trickle Irrigation Source
Publication: Journal of Irrigation and Drainage Engineering
Volume 110, Issue 4
Abstract
The two‐dimensional nonlinear partial differential equation that describes the transient movement of water in an unsaturated porous medium is investigated by using the zero‐order continuous linear finite element method. The governing equation is transformed logarithmically to smooth the abrupt changes in the soil‐water characteristic relations. The Newton‐Raphson method is used to iterate toward the “exact” solution of the original nonlinear equations. In addition, a modified implicit finite difference scheme is used to approximate the time derivatives. Predictions of the finite element model are verified with a one‐dimensional example. The model is then used to investigate two‐dimensional infiltration from a trickle irrigation source. The numerical results compare well with those obtained from laboratory and field experiments. The advantage of the present model is its capability to simulate water movement through very dry soil environments, which causes a steep moisture front, as well as its potential applicability in irregularly shaped flow regions, which are commonly encountered in the field and are difficult to model with finite difference or other numerical methods.
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References
1.
Angelakis, N. A., “Time‐Dependent Soil Water Distribution in a Two‐Dimensional Profile of Clay Loam Soil Under a Circular Trickle Source,” thesis presented to the University of California, at Davis, Calif., in 1977, in partial fulfillment of the requirements for the degree of Master of Science.
2.
Baca, R. G., King, I. P., and Norton, W. R., “Finite Element Models for Simultaneous Heat and Moisture Transport in Unsaturated Soils,” Finite Element in Water Resources, Proceedings of the Second International Conference on Finite Elements in Water Resources, London, England, 1978, pp. 1.19–1.35.
3.
Brandt, A., Bresler, E., Diner, N., Ben‐Asher, I., Heller, J., and Goldberg, D., “Infiltration From a Trickle Source: I. Mathematical Models,” SSSA, Vol. 35, 1971, pp. 675–682.
4.
Bresler, E., Heller, J., Diner, N., Ben‐Asher, I., Brandt, A., and Goldberg, D., “Infiltration From a Trickle Source: II. Experimental Data and Theoretical Predictions,” SSSA, Vol. 35, 1971, pp. 683–689.
5.
Hachum, A. Y., Alfaro, J. F., and Willardson, L. S., “Water Movement in Soil From Trickle Source,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 120, No. IR2, 1976, pp. 179–192.
6.
Kirkham, D., and Powers, W. L., Advanced Soil Physics, John Wiley and Sons, Inc., New York, N.Y., 1972.
7.
Lomen, D. O., and Warrick, A. W., “Time‐Dependent Linearized Moisture Flow Solutions for Surface Sources,” System Simulation in Water Resources, G. O. Vansteenkiste, ed., North Holland Publishing Company, Amsterdam, 1976.
8.
Taghavi, S. A., “A Galerkin Finite Element Model of Infiltration Into Unsaturated Porous Media,” thesis presented to the University of California, at Davis, Calif., in 1983, in partial fulfillment of the requirements for the degree of Master of Science.
9.
Warrick, A. W., Biggar, J. W., and Nielsen, D. R., “Simultaneous Solute and Water Transfer for an Unsaturated Soil,” Water Resources Research, Vol. 7, No. 5, 1971, pp. 1216–1225.
10.
Zienkiewicz, O. C., The Finite Element Method, McGraw‐Hill, New York, N.Y., 1977.
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Copyright © 1984 ASCE.
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Published online: Dec 1, 1984
Published in print: Dec 1984
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