TECHNICAL NOTES
May 1, 1987

1‐D, 2‐D, and 3‐D Infiltration for Irrigation

Publication: Journal of Irrigation and Drainage Engineering
Volume 113, Issue 2

Abstract

Models for one‐, two‐, and three‐dimensional infiltration for irrigation are derived using an energy equation and Darcy's law. The models were verified with Fok and Chiang's (4) experimental data. A good agreement is found between the model‐computed and observed values of infiltration. Average relative error of cumulative infiltration values is less than 5%.

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References

1.
Bodman, G. B., and Colman, E. A., “Moisture and Energy Conditions during Downward Entry of Water into Soils,” Soil Science Society of America Proceedings, Vol. 8, pp. 116–123.
2.
Fok, Y. S., “Infiltration Equation in Exponential Forms,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 93, No. 4, Proc. Paper 5658, Dec., 1967, pp. 125–135.
3.
Fok, Y. S., Chung, S. O., and Liu, C. K., “Two‐Dimensional Exponential Infiltration Equations,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 108, No. 4, Paper 17565, Dec., 1982, pp. 231–241.
4.
Fok, Y. S., and Chiang, Shan‐Hsin, “2‐D Infiltration Equations for Furrow Irrigation,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 110, No. 2, Jun., 1984, pp. 208–217.
5.
Free, G. R., Browning, C. M., and Musgrave, G. W., “Relative Infiltration and Related Physical Characteristics of Soils,” Technical Bulletin, No. 729, U.S. Dept. of Agric., Washington, D.C., Jul., 1940.
6.
Green, W. H., and Ampt, G. A., “Studies on Soil Physics. Part I—The Flow of Air and Water Through Soil,” Journal of Agricultural Sciences, Vol. 4, 1911, pp. 1–24.
7.
Haan, C. T., Johnson, H. P., and Brakensief, D. L., “Hydrologic Modeling of Small Watersheds,” ASAE, St. Joseph, Mich., 1982, pp. 121–166.
8.
Philip, J. R., “Theory of Infiltration,” Advances in Hydroscience, Vol. 5, 1969, pp. 215–296.
9.
Miller, D. E., and Gardner, W. H., “Water Infiltration into Stratified Soils,” Proceedings, Soil Science Society of America, Vol. 26, 1962, pp. 115–119.
10.
Miller, R. D., and Richard, F., “Hydraulic Gradients During Infiltration in Soils,” Proceedings, Soil Science Society of America, Vol. 17, 1952, pp. 33–38.
11.
Morel‐Seytoux, H. J., “Two Phase Flows in Porous Media,” Advances in Hydroscience, Vol. 9, 1973, pp. 119–202.
12.
Toksoz, S., Kirkham, D., and Baumann, E. R., “Two‐Dimensional Infiltration and Wetting Fronts,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 91, No. 3, Proc. Paper 4477, Sep., 1965, pp. 65–79.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 113Issue 2May 1987
Pages: 266 - 278

History

Published online: May 1, 1987
Published in print: May 1987

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Authors

Affiliations

Vijay P. Singh, M. ASCE
Prof., Dept. of Civ. Engrg. and Louisiana Water Resour. Res. Inst., Louisiana State Univ., Baton Rouge, LA 70803‐6405
Yu‐Cheng He
Visiting Scholar, Dept. of Civ. Engrg. and Louisiana Water Resour. Res. Inst., Louisiana State Univ., Baton Rouge, LA 70803‐6405
Fang‐Xin Yu
Visiting Scholar, Dept. of Civ. Engrg. and Louisiana Water Resour. Res. Inst., Louisiana State Univ., Baton Rouge, LA 70803‐6405

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