TECHNICAL PAPERS
Nov 1, 1990

Derivation of Infiltration Equation Using Systems Approach

Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 6

Abstract

A general infiltration model is derived using a systems approach. The models of Horton, Kostiakov, Overton, Green and Ampt, and Philip are some of the example models that are shown as special cases of the general model. An equivalence between the Green‐Ampt model and the Philip two‐term model is shown. The general model also provides a solution for the Holtan model expressing infiltration as a function of time. This solution of the Holtan model has not been reported in the literature. A first‐order analysis is performed to quantify the uncertainty involved with the generalized model. The general infiltration model contains five parameters. Two of the parameters are physically based and can therefore be estimated from the knowledge of soil properties, antecedent soil moisture conditions, and infiltration measurements; the remaining three can be determined using the least squares method. The model is verified using ten observed infiltration data sets. Agreement between observed and computed infiltration is quite good.

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References

1.
Dooge, J. C. I. (1973). “Linear theory of hydrologic systems.” Tech. Bulletin No. 1468, U.S. Dept. of Agr., Agric. Res. Service, Washington, D.C.
2.
Fok, Y. S., and Chiang, S. H. (1984). “2‐D infiltration equations for furrow irrigation.” J. Irrig. and Drain. Engrg., ASCE, 110(2), 208–217.
3.
Green, W. H., and Ampt, C. A. (1911). “Studies on soil physics, I. Flow of air and water through soils.” J. Agric. Sci., 4, 1–24.
4.
Holtan, H. N. (1961). “A concept of infiltration estimates in watershed engineering.” ARS41‐51, U.S. Dept. Agr., Agric. Research Service, Washington, D.C.
5.
Horton, R. I. (1938). “The interpretation and application of runoff plot experiments with reference to soil erosion problems.” Proc., Soil Science Society of America, 3, 340–349.
6.
Kirkham, D., and Feng, C. L. (1949). “Some tests of the diffusion theory, and laws of capillary flow in soils.” Soil Sci., 67, 29–40.
7.
Kostiakov, A. N. (1932). On the dynamics of the coefficients of water percolations in soils. Sixth Commission, Int. Soc. Soil Science, Part A, 15–21.
8.
Kulandaiswamy, V. C. (1964). “A basic study of the rainfall excess‐surface runoff relationship in a basin system,” thesis presented to the University of Illinois, at Urbana, Ill., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
9.
Overton, D. E. (1964). “Mathematical refinement of an infiltration equation for watershed engineering.” ARS 41‐99, U.S. Dept. of Agr., Agric. Res. Service, Washington, D.C.
10.
Philip, J. R. (1957). “Theory of infiltration, Chapters 1 and Chapter 4.” Soil Sci., 83(5), 345–357.
11.
Philip, J. R. (1969). “Theory of infiltration.” Advances in hydroscience, vol. 5, K. T. Chow, ed., Academic Press, New York, N.Y., 215–296.
12.
Rawls, W., Yates, P., and Asmussen, L. (1976). “Calibration of selected infiltration equations for the Georgia coastal plain.” ARS‐S‐113, Agr. Res. Service, U.S. Dept. of Agric., New Orleans, La.
13.
Zhao, D. (1981). “A semi‐linear model in infiltration theory.” Hydrological Res. Report, 2, 246–255, P. R. China.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 116Issue 6November 1990
Pages: 837 - 858

History

Published online: Nov 1, 1990
Published in print: Nov 1990

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Authors

Affiliations

V. P. Singh, Member, ASCE
Prof. and Coordinator, Water Resour. Program, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA 70803‐6405
F. X. Yu
Grad. Res. Asst., Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, LA

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