TECHNICAL PAPERS
Mar 1, 1991

Sensitivity of Furrow Irrigation System Cost and Design Variables

Publication: Journal of Irrigation and Drainage Engineering
Volume 117, Issue 2

Abstract

Considering the minimum cost as the objective, the furrow irrigation system design problem is formulated as an optimization problem. A combination of monotonicity analysis, constraint activity, and condensation are used to simplify the size of the mathematical model of the problem. This reduced model is used to analyze the sensitivity of the optimal design variables of a furrow irrigation system. The Soil Conservation Service (SCS) equations for the design of furrow irrigation along with several constraints are considered in the optimal design. Using an example problem and three different soil types, the system cost and design variables (inflow rate, length of furrow, and time of cutoff) are found to be sensitive to the supply flow rate, the design application depth, and the cost coefficients of water, labor, and ditch construction. Under the given set of conditions, the cost of a furrow irrigation system is very high in the case of a clay soil. Also, the application efficiency achieved was lower in the case of a clay soil than in light (sandy) and medium textured soils.

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References

1.
Booher, L. J. (1976). Surface irrigation. Food and Agriculture Organization of the United Nations, Rome, Italy.
2.
Furrow irrigation. (1983). Chapter 5, Section 15, United States Department of Agriculture, Soil Conservation Service. Washington, D.C.
3.
Hansen, V. E., Israelsen, O. W., and Stringham, G. E. (1980). Irrigation principles and practices. John Wiley, New York, N.Y.
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Holzapfel, E., Marino, M., and Chavez, J. (1986). “Surface irrigation optimization models.” J. Irrig. and Drain. Engrg., ASCE, 112(1), 1–19.
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Marr, J. C. (1967). Furrow irrigation: Manual 37, Division of Agricultural Sciences, Univ. of California, Berkeley, Calif.
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Reddy, J. M., and Clyma, W. (1981). “Optimal design of furrow irrigation systems.” Trans. ASAE, 24(3), 617–623.
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Reddy, J. M., and Clyma, W. (1982). “Optimizing surface irrigation system design parameters: Simplified analysis.” Trans. ASAE, 25(4), 966–974.
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Reddy, J. M., and Clyma, W. (1983a). “Optimizing furrow irrigation runoff recovery systems.” Trans. ASAE, 26(4), 1050–1056, 1063.
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Reddy, J. M., and Clyma, W. (1983b). “Choosing optimal design depth for surface irrigation systems.” Agric. Water Mgmt., 6(4), 335–349.
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Wilde, D. J. (1978). Globally optimal design. John Wiley, New York, N.Y.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 117Issue 2March 1991
Pages: 201 - 219

History

Published online: Mar 1, 1991
Published in print: Mar 1991

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Authors

Affiliations

J. Mohan Reddy
Assoc. Prof., Dept. of Agric. Engrg., Univ. of Wyoming, P.O. Box 3295, Laramie, WY 82071‐3295
Horacio M. Apolayo
Asst. Prof., Universidad Technologica de Panama, Panama City, Panama; formerly Grad. Student, Dept. of Agric. Engrg., Univ. of Wyoming, Laramie, WY

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