Interrelationships of Irrigation Uniformity Terms
Publication: Journal of Irrigation and Drainage Engineering
Volume 109, Issue 3
Abstract
Irrigation uniformities are examined for six assumed statistical distributions of depth of water infiltrated. Christiansen's uniformity (UC) and the lower quarter distribution uniformity (DU) are related analytically to the coefficient of variability (CV) in each case. The distributions chosen are the normal, log normal, uniform, a specialized power, beta and gamma distributions. In all cases studied, for CV values of less than 25%, approximate forms of UC and DU were found valid. Three examples are given using the specialized power and beta distribution. It is demonstrated that the specialized power function is exact for level basin irrigation provided the surface water advance is proportional to a power of time and the intake rate everywhere has approached a constant value before recession.
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References
1.
Abramowitz, M., and Stegun, I. A., “Handbook of Mathematical Functions,” National Bureau of Standards, Applied Math. Series 55, U.S. Gov. Printing Office, Washington, D.C., 1964.
2.
Chaudry, F. H., “Nonuniform Sprinkler Irrigation Application Efficiency,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 204, 1978, pp. 165–178.
3.
Clemmens, A. J., and Dedrick, A. R., “Estimating Distribution Uniformity in Level Basins,” Transactions of American Society of Agricultural Engineering, ASAE, Vol. 24, 1981, pp. 1177–1180.
4.
Clemmens, A. J., and Dedrick, A. R., “Limits for Practical Level‐Basin Design,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 108, June, 1982, pp. 127–141.
5.
Elliott, R. L., Nelson, J. D., Loftis, J. C., and Hart, W. E., “Comparison of Sprinkler Uniformity Models,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 106, Dec., 1980, pp. 321–330.
6.
Gardner, W. R., Warrick, A. W., and Halderman, A. D., “Soil Variability and Measures of Irrigation Efficiency,” Paper No. 82‐2106, presented at ASAE Meeting, Madison, Wisc., June, 1982.
7.
Hart, W. E., “Overhead Irrigation Pattern Parameters,” Agricultural Engineering, Vol. 42, July, 1961, pp. 354–355.
8.
Hart, W. E., and Reynolds, W. N. “Analytical Design of Sprinkler Systems,” Transactions, ASAE, Vol. 8, 1965, pp. 83–85, 89.
9.
Hart, W. E., and Heermann, D. F., “Evaluating Water Distribution of Sprinkler Irrigation Systems,” Colorado State Univ. Exp. Station Bull., 128, Fort Collins, Colo., 1976.
10.
Hart, W. E., Peri, G., and Skogerboe, G. V., “Irrigation Performance: An Evaluation,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 105, 1979, pp. 275–289.
11.
Hart, W. E., Norum, D. I., and Peri, G., “Optimal Seasonal Irrigation Application Analysis,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 106, 1980, pp. 221–235.
12.
Karmeli, D., “Water Distribution Patterns for Sprinkler and Surface Irrigation Systems,” Proc. Nat. Conference on Irrigation Return Flow Quality Management, Colorado State Univ., Fort Collins, Colo., 1977, pp. 233–251.
13.
Karmeli, D., “Distribution Pattern and Losses for Furrow Irrigation,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 104, 1978, pp. 59–69.
14.
Karmeli, D., Salazar, L. J., and Walker, W. R., “Assessing the Spatial Variability of Irrigation Water Applications,” Environmental Protection Agency Report EPA‐600/2‐78‐04, 1978, p. 201.
15.
Kruse, E. G., “Describing Irrigation Efficiency and Uniformity,” Journal of the Irrigation and Drainage Division, ASCE, Vol. 104, 1978, pp. 35–41.
16.
Merriam, J. L., Shearer, M. N., and Burt, C. M., “Evaluating Irrigation Systems and Practices,” IN Design and Operation of Farm Irrigation Systems, M. E. Jensen, ed., ASAE Mono. No. 3, ASAE, St. Joseph, Mich., 1980, pp. 721–760.
17.
Nielsen, D. R., Biggar, J. W., and Erh, K. T., “Spatial Variability of Field‐Measured Soil‐Water Properties,” Hilgardia, Vol. 42, 1973, pp. 215–259.
18.
“Biometrika Tables for Statisticians,” Vol. II, E. S. Pearson and H. O. Hartley, eds., Cambridge, U.K., 1972, 385 pp.
19.
Vlotman, W. F., “The Uniformity of Water Distribution under Low‐Pressure Moving Irrigation Systems,” thesis presented to the University of Arizona, at Tucson, in 1982, in partial fulfillment of the requirements for the degree of Master of Science.
20.
Warrick, A. W., and Nielson, D. R., “Spatial Variability of Soil Physical Properties,” IN Applications of Soil Physics, D. Hillel, ed., Academic Press, New York, N.Y., 1980, pp. 319–344.
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Copyright © 1983 ASCE.
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Published online: Sep 1, 1983
Published in print: Sep 1983
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