Analytical Model for Furrow Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 2
Abstract
An analytical model is developed to simulate all phases of furrow irrigation. The model transforms any real furrow cross section shape to a discharge‐equivalent semicircular shape, and can therefore be applied to any form of furrow cross section. Parabolic shapes are used to describe the surface and subsurface flow profiles and their coefficients are determined from the conditions in the gradually varied flow region, rather than in the region of rapidly varied flow at the advance front. Infiltration is simulated in three dimensions rather than in one or two dimensions. The recession phases are simulated by modifying Strelkoff's model such that the time‐varying rate of infiltration is taken into account. One observed data set is used to calibrate the model, and six observed data sets are used to verify it. The model is simple, accurate (less than 8% deviation for all phases), and easy to apply.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Chen, C. L. (1965). “Techniques of border irrigation by a hydrologic method of routing.” Report Pr‐WR11‐1, Utah Water Res. Lab., Utah State Univ., Logan, Utah, 15–16.
2.
Davis, J. R. (1961). “Estimating rate of advance for irrigation furrows.” Trans. ASCE, 4(1), 52–57.
3.
Diskin, M. H. (1961). “End depth at a drop in trapezoidal channels.” Proc. ASCE, 87(4), 11–32.
4.
Elliott, R. L., Walker, W. R., and Skogerboe, G. V. (1982). “Zero‐inertia modeling of furrow irrigation advance.” J. Irrig. and Drain. Div., ASCE, 108(3), 179–195.
5.
Elliott, R. L., and Walker, W. R. (1982). “Field evaluation of furrow irrigation and advance functions.” Trans. ASAE, 25(6), 396–400.
6.
Fok, Y. S., and Bishop, A. A. (1965). “Analysis of water advance in surface irrigation.” J. Irrig. and Drain. Div., ASCE, 91(1), 99–116.
7.
Fok, Y. S., and Chiang, S. H. (1984). “2‐D infiltration equations for furrow irrigation.” J. Irrig. and Drain. Div., ASCE, 110(2), 208–217.
8.
Karmeli, D. (1978). “Distribution patterns and losses for furrow irrigation.” J. Irrig. and Drain. Div., ASCE, 104(1), 59–68.
9.
Lai, R., and Pandya, A. C. (1970). “Furrow irrigation with decreasing inflow rate.” J. Irrig. and Drain. Div., ASCE, 96(4), 451–460.
10.
Levien, S. L. A., and Souza, F. D. (1987). “Algebraic computation of flow in furrow irrigation.” J. Irrig. and Drain. Engrg., ASCE, 113(3), 367–378.
11.
Ley, T. W. (1978). “Sensitivity of furrow irrigation performance to field and operation variables,” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Master of Science.
12.
Ohmes, F. E., and Manges, H. L. (1977). “Estimating runoff from furrow irrigation.” Trans. ASAE, 20(6), 1089–1092.
13.
Philip, J. R., and Farrell, D. A. (1964). “General solution of the infiltration advance problem in irrigation hydraulics.” J. Geophys. Res., 69(4), 621–531.
14.
Rayej, M., and Wallender, W. W. (1987). “Furrow model with specified space interval.” J. Irrig. and Drain. Engrg., ASCE, 113(4), 536–548.
15.
Singh, P., and Chauhan, H. S. (1972). “Shape factors in irrigation water advance equation.” J. Irrig. and Drain. Div., ASCE, 98(3), 443–458.
16.
Singh, V. P., and Yu, F. X. (1987a). “A mathematical model for border irrigation (1): Advance and storage phases.” Irrig. Sci., 8(3), 151–174.
17.
Singh, V. P., and Yu, F. X. (1987b). “A farm irrigation model.” Tech. Report WRR7, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, La.
18.
Singh, V. P., and Ram, R. S. (1983). “Some aspects of hydraulics of border irrigation.” Tech. Report WRR2, Water Resour. Program, Dept. of Civ. Engrg., Louisiana State Univ., Baton Rouge, La.
19.
Singh, V. P., He, Y., and Yu, F. X. (1987). “1‐D, 2‐D, and 3‐D infiltration for irrigation.” J. Irrig. and Drain. Engrg., ASCE, 113(2), 206–278.
20.
Singh, V. P., and He, Y. (1988). “Muskingum model for furrow irrigation.” J. Irrig. and Drain. Engrg., ASCE, 114(1), 89–103.
21.
Souza, F. (1981). “Non‐linear hydraulic model of furrow irrigation,” thesis presented to the University of California, at Davis, Calif., in partial fulfillment of the requirements for the degree of Master of Science.
22.
Strelkoff, T. (1977). “Algebraic computation of flow in border irrigation.” J. of Irrig. and Drain. Div., ASCE, 103(3), 357–377.
23.
Tyagi, N. K., and Lal, R. (1970). “Predicting water advance in irrigation furrow.” J. Agric. Engrg., India Soc. Agric. Engrg., 7(4), 16–22.
24.
Walker, W. R., and Humpherys, A. S. (1983). “Kinematic‐wave furrow irrigation model.” J. Irrig. and Drain. Engrg., ASCE, 109(4), 377–382.
25.
Wilke, O., and Smerdon, E. T. (1965). “A solution of the irrigation advance problem.” J. Irrig. and Drain. Div., ASCE, 91(3), 23–34.
Information & Authors
Information
Published In
Copyright
Copyright © 1990 ASCE.
History
Published online: Mar 1, 1990
Published in print: Mar 1990
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.