Explicit Volume Balance Model Solution
Publication: Journal of Irrigation and Drainage Engineering
Volume 125, Issue 5
Abstract
The volume balance model was modified to allow explicit solution for the advance distance in surface irrigation. In a dimensionless formulation, the advance distance equation was compared with the correct form of the Hall technique, considered the most accurate numerical volume balance solution. The results indicated that the presented equation can be used to determine the advance distance with insignificant errors. A furrow irrigation example was used to demonstrate the solution of the present method. For comparison with the zero inertia model, a border example was used, and the relative error of the proposed method was less than 4%.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Alazba, A. A., and Fangmeier, D. D. (1995). “Hydrograph shape and border irrigation efficiency.”J. Irrig. and Drain. Div., ASCE, 121(6), 452–457.
2.
Alazba, A. A., and Strelkoff, T. (1994). “Correct form of Hall technique for border irrigation advance.”J. Irrig. and Drain. Div., ASCE, 120(2), 292–307.
3.
Bassett, D. L. (1972). “A mathematical model of water advance in border irrigation.” Trans. ASAE, 15(5), 992–995.
4.
Chen, C. L. (1966). “Discussion of `A solution of the irrigation advance problem.' by Otto Wilke and Ernest T. Smerdon.”J. Irrig. and Drain. Div., ASCE, 92(2), 97–101.
5.
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.
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.
Hall, W. A. (1956). “Estimating irrigation border flow.” Agric. Engrg., 37(1), 263–265.
8.
Hart, W. E., Bassett, D. L., and Strelkoff, T. (1968). “Surface irrigation hydraulics-kinematics.”J. Irrig. and Drain. Div., ASCE, 94(4), 419–440.
9.
Katopodes, N., and Strelkoff, T. (1977). “Dimensionless solutions of border-irrigation advance.”J. Irrig. and Drain. Div., ASCE, 103(4), 401–417.
10.
Kiefer, F. W. (1959). “Average depth of absorbed water in surface irrigation.” Spes. Publ., Civ. Engrg. Dept., Utah State University, Logan, Utah.
11.
Kincaid, D. C., Heermann, D. F., and Kruse, E. G. (1972). “Hydrodynamics of border irrigation advance.” Trans. ASAE, 15(4), 674–680.
12.
Kostiakov, A. N. (1932). “On the dynamics of the coefficient of water percolation in soils and the necessity for studying it from a dynamic point of view for purposes of amelioration.” Trans. 6th Congr. Int. Soc. of Soil Sci., International Society of Soil Science, France, 17–20.
13.
Lewis, M. R., and Milne, W. E. (1938). “Analysis of border irrigation.” Agric. Engrg., 19, 267–272.
14.
Sakkas, J. G., and Strelkoff, T. (1974). “Hydrodynamics of surface irrigation—advance phase.”J. Irrig. and Drain. Div., ASCE, 100(1), 31–48.
15.
Schmitz, G. H., and Seus, G. J. (1990). “Mathematical zero-inertia modeling of surface irrigation: advance in borders.”J. Irrig. and Drain. Div., ASCE, 116(5), 603–615.
16.
Strelkoff, T., and Clemmens, A. J. (1981). “Dimensionless stream advance in sloping borders.”J. Irrig. and Drain. Div., ASCE, 107(4), 361–382.
17.
Strelkoff, T., and Katopodes, N. D. (1977). “Border-irrigation hydraulics with zero-inertia.”J. Irrig. and Drain. Div., ASCE, 103(3), 325–342.
18.
Valiantzas, J. D. (1993). “Border advance using improved volume balance model.”J. Irrig. and Drain. Div., ASCE, 119(6), 1006–1013.
19.
Valiantzas, J. D. (1997). “Surface irrigation advance equation: variation of subsurface shape factor.”J. Irrig. and Drain. Div., ASCE, 123(4), 300–306.
20.
Walker, W. R., and Skogerboe, G. V. (1987). Surface irrigation: theory and practice. Prentice-Hall, Inc., Englewood Cliffs, N.J.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 125 • Issue 5 • October 1999
Pages: 273 - 279
History
Received: Apr 13, 1998
Published online: Oct 1, 1999
Published in print: Oct 1999
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.