TECHNICAL PAPERS
Jun 1, 1984

2‐D Infiltration Equations for Furrow Irrigation

Publication: Journal of Irrigation and Drainage Engineering
Volume 110, Issue 2

Abstract

Two‐dimensional (2‐D) infiltration equations for furrow irrigation expressed in explicit algebraic forms are developed and based on four consecutive time intervals which were derived in a previous study (1). From another study an extension is made for 2‐D infiltration (4). Since the geometric cross section of a furrow can have different forms, a simple rectangular cross section is used for illustration. Two‐dimensional infiltration in a furrow is assumed to be a composite of 1‐D and 2‐D infiltration components. These components of infiltration are computed using developed 1‐D and 2‐D infiltration equations obtained from previous studies. Because the resulting equations are presented in explicit algebraic power forms, the physical parameters of the soil media (hydraulic conductivity, capillary potential, pressure head, soil porosity, and moisture content) can be examined as dependent design parameters of furrow infiltration. The validity of the developed equations has been examined in laboratory experiments at dry and wet soil conditions. The results of computed and measured infiltration show good agreement.

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References

1.
Fok, Y. S., “Infiltration Equations in Exponential Forms,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 93, No. IR4, Paper 5686, Dec., 1967, pp. 125–135.
2.
Fok, Y. S., “A Study of Two‐Dimensional Infiltration,” Transactions of the American Society of Agricultural Engineering, Vol. 13, No. 5, Sept.–Oct., 1970, pp. 676–681.
3.
Fok, Y. S., and Hansen, V. E., “One‐Dimensional Infiltration into Homogeneous Soil,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 92, No. IR3, Paper 4912, Sept., 1966, pp. 35–48.
4.
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. IR4, Paper 17565, Dec., 1982, pp. 231–241.
5.
Haise, H. R., “Flow Patterns in Irrigated Coarse Textured Soils,” Soil Science Society of American Proceedings of 1948, Vol. 13, 1949, pp. 83–89.
6.
Hillel, D., Soil and Water, Academic Press, New York, N.Y., 1970.
7.
Kirkham, D., and Powers, W. L., Advanced Soil Physics, Wiley‐Interscience, New York, N.Y., 1973.
8.
Philip, J. R., “Numerical Solution of Equations of the Diffusion Type with Diffusivity Concentration‐Dependent II,” Australian Journal of Physics, Vol. 10, 1957, pp. 29–42.
9.
Selim, H. M., and Kirkham, D., “Unsteady Two‐Dimensional Flow of Water in Unsaturated Soils Above and Impervious Barrier,” Proceedings of the Soil Science Society of America, Vol. 37, 1973, pp. 489–495.
10.
Selim, H. M., and Kirkham, D., “Unsteady State Two‐Dimensional Water Content Distribution and Wetting Fronts in Soils,” Geoderma, Vol. 11, 1974, pp. 259–274.
11.
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. IR3, Paper 4477, Sept., 1965, pp. 65–79.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 110Issue 2June 1984
Pages: 208 - 217

History

Published online: Jun 1, 1984
Published in print: Jun 1984

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Authors

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Yu‐Si Fok, M. ASCE
Prof., Dept. of Civ. Engrg., and Researcher, Water Resources Research Center, Univ. of Hawaii at Manoa, Honolulu, Hawaii 96822
Shan‐Hsin Chiang
Grad. Student, Dept. of Geography, Univ. of Hawaii at Manoa, Honolulu, Hawaii 96822

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