TECHNICAL PAPERS
Feb 1, 1989

Analytical Model of Level Basin Irrigation

Publication: Journal of Irrigation and Drainage Engineering
Volume 115, Issue 1

Abstract

A zero‐inertia model is presented to study surface irrigation. The model is based on an analytical solution of the slightly modified zero‐inertia differential equations for level borders and does not contain any restrictions to the infiltration formula used. The analytical model proves its efficiency in three different kinds of application, namely: to calculate irrigation advance in level basins or moderately sloping borders; to describe within a numerical model the flow in the tip region of the wave; and to replace numerical computation in the initial phase of irrigation advance without any loss of accuracy, thus generating initial values for the numerical computation of border irrigatigon. The analytically calculated values of advance times for level and moderately sloping borders of varied characteristics are compared with the outcome of a full hydrodynamic model and with field observations. For the data analyzed here, the prediction error of the analytical zeroinertia model always remained below 6%.

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References

1.
Clemmens, A. J., and Dedrick, A. R. (1982). “Limits for practical level‐basin design.” J. Irrig. and Drain., ASCE, 108(IR2).
2.
Clemmens, A. J., and Strelkoff, T. (1979). “Dimensionless advance for level basin irrigation.” J. Irrig. and Drain., ASCE, 105(IR3).
3.
Clemmens, A. J., Strelkoff, T., and Dedrick, A. R. (1981). “Development of solutions for level‐basin design.” J. Irrig. and Drain., ASCE, 107(IR3).
4.
Katopodes, N. D., and Strelkoff, T. (1977). “Hydrodynamics of border‐irrigation; complete model.” J. Irrig. and Drain., ASCE, 103(IR3).
5.
Liggett, J. A., and Cunge, J. A. (1975). “Numerical methods of solution of the unsteady flow equations.” Unsteady flow in open channels, K. Mahmood and V. Yerdjevich, eds. Vol. 1, Chap. e, Water Res. Pub., Fort Collins, Colo.
6.
Raiessi, E. (1982). “Level‐basin irrigation design with water constraints,” thesis presented to the Colorado State University, Fort Collins, Colo., for the partial fulfillment of the requirements for the degree of Doctor of Philosophy.
7.
Roth, R. L. (1971). “Roughness during border irrigation,” thesis presented to the University of Arizona, Tucson, Ariz., in partial fulfillment of the requirements for the degree of Master of Science.
8.
Schmitz, G., Haverkamp, R., and Palacios Velez, O. (1985). “A coupled surfacesubsurface model for shallow water flow over initially dry soil.” Proc. 21st Cong. IAHR, Melbourne, Australia.
9.
Schmitz, G. H., and Seus, G. J. (1987). “Analytical solution of simplified surge flow equations.” J. Irrig. Drain., ASCE, 113(IR4).
10.
Shafique, M. S. (1884). “Zero inertia model for basin furrow irrigation,” thesis presented to the Colorado State University, Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Strelkoff, T., and Katopodes, N. D. (1977). “Border‐irrigation hydraulics with zero inertia.” J. Irrig. and Drain., ASCE, 103(IR3).
12.
Witham, G. B. (1955). “The effects of hydraulic resistance in the dam‐break problem.” Proc. Royal Soc. London, Series A 227, 399–407.

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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 115Issue 1February 1989
Pages: 78 - 95

History

Published online: Feb 1, 1989
Published in print: Feb 1989

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Authors

Affiliations

Gerd H. Schmitz, Member, ASCE
Senior Res. Assoc., Dept. of Civ. Engrg., Tech. Univ. of Munich, Munich, Federal Republic of Germany
Günther J. Seus, Member, ASCE
Prof., Dept. of Civ. Engrg., Tech. Univ. of Munich, Munich, Federal Republic of Germany

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