Optimal Management Strategies for Cutback Furrow Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 119, Issue 6
Abstract
The optimal management of a cutback‐furrow‐irrigation system with spatially variable infiltration based on an average intake function was analyzed. The problem was formulated as a cost‐minimization function subject to meeting a specified fraction of the irrigation requirement. Optimal solutions were examined in the context of developing a real‐time control system for furrow irrigation. Although total infiltration was adequately predicted with the average function, final water distribution was not. Consequently, the optimal policies resulted in actual requirement efficiencies less than the target value. Nonetheless, relative changes in performance as a function of the constraint were well predicted. The performance index was relatively insensitive near the optimum, and cutback time had the least impact on application efficiency and uniformity. Satisfactory performance was therefore still obtained by reducing the inflow after the final advance time. Similar values of application efficiency were generally computed with decreasing application depths, but smaller efficiency resulted when the optimized cutoff time was less than the final advance time. There were small performance differences between discrete and continuous‐time cutback functions.
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References
1.
Alemi, M. H., and Goldhamer, D. A. (1988). “Surge irrigation optimization model.” Trans., American Society of Agricultural Engineers, 31(2), 519–526.
2.
Bautista, E., and Wallender, W. W. (1985). “Spatial variability of infiltration in furrows.” Trans., American Society of Agricultural Engineers, 28(6), 1846–1851/1855.
3.
Bautista, E., and Wallender, W. W. (1993a). “Identification of furrow infiltration parameters from advance times and advance rates.” J. Irrig. and Drain. Engrg., ASCE, 119(2), 295–311.
4.
Bautista, E., and Wallender, W. W. (1993b). “Numerical calculation of infiltration in furrow irrigation simulation models.” J. Irrig. and Drain. Engrg., ASCE, 119(2), 286–294.
5.
Bautista, E., and Wallender, W. W. (1993c). “Reliability of optimized furrow infiltration parameters.” J. Irrig. and Drain. Engrg., 119(5), 784–800.
6.
Box, M. J. (1965). “A new method of constrained optimization and a comparison with other methods.” Comput. J., 8(1), 42–52.
7.
Clemmens, A. J. (1989). “Management of basin/border irrigation systems with feedback control.” ASAE Meeting Paper No. 89‐2550, Am. Soc. of Agric. Engrs., St. Joseph, Mich.
8.
Gates, T. K., and Clyma, W. (1984). “Designing furrow irrigation systems for improved seasonal performance.” Trans., American Society of Agricultural Engineers, 27(6), 1817–1824.
9.
Holzapfel, E. A., Mariño, M. A., and Chavez Morales, J., (1986). “Surface irrigation optimization models.” J. Irrig. and Drain. Engrg., ASCE, 112(1), 1–19.
10.
Irrigation system costs and performance in the San Joaquin Valley. (1989). Federal‐State San Joaquin Valley Drainage Program/CH2M Hill, Sacramento, Calif.
11.
Katopodes, N. D., and Streikoff, T. (1977). “Dimensionless solutions for border irrigation advance.” J. Irrig. and Drain. Div., ASCE, 103(4), 401–417.
12.
Katopodes, N. D., and Tang, J. H. (1990). “Self‐adaptive control of surface irrigation advance.” J. Irrig. and Drain. Engrg., ASCE, 166(5), 676–695.
13.
Katopodes, N. D., Tang, J. H., and Clemmens, A. J. (1990). “Estimation of surface irrigation parameters.” J. Irrig. and Drain. Engrg., ASCE, 116(5), 697–713.
14.
Kuester, J. L., and Mize, J. H. (1973). Optimization techniques with Fortran. McGraw‐Hill Book Co., New York, N.Y.
15.
Rayej, M., and Wallender, W. W. (1987). “Runoff recovery and evaporation pond optimization model.” Trans., American Society of Agricultural Engineers, 30(4), 1031–1038.
16.
Reddell, D. L., and Latimer, E. A. (1986). “Advance rate feedback irrigation system (ARFIS).” ASAE Meeting Paper No. 86‐2578, Am. Soc. of Agric. Engrs., St. Joseph, Mich.
17.
Schwankl, L. J. (1989). “Stochastic furrow irrigation modeling,” PhD thesis, University of California, Davis, Calif.
18.
Walker, W. R., and Busman, J. D. (1990). “Real‐time estimation of furrow infiltration.” J. Irrig. and Drain. Engrg., ASCE, 116(3), 299–318.
19.
Walker, W. R., and Humpherys, A. S. (1983). “Kinematic wave furrow irrigation model.” J. Irrig. and Drain. Engrg., ASCE, 109(4), 377–392.
20.
Wallender, W. W., and Rayej, M. (1987). “Economic optimization of furrow irrigation with uniform and nonuniform soil.” Trans., American Society of Agricultural Engineers, 33(5), 1605–1611.
21.
Wallender, W. W., Ardila, S., and Rayej, M. (1990). “Irrigation optimization with variable water quality and nonuniform soil.” Trans., American Society of Agricultural Engineers, 33(5), 1605–1611.
22.
Wallender, W. W., and Yokokura, J. (1991). “Space solution of kinematic‐wave model by time iteration.” J. Irrig. and Drain. Engrg., ASCE, 117(1), 140–144.
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Copyright © 1993 American Society of Civil Engineers.
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Received: Jul 2, 1992
Published online: Nov 1, 1993
Published in print: Nov 1993
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