Simple Model of Border Irrigation
Publication: Journal of Irrigation and Drainage Engineering
Volume 112, Issue 2
Abstract
This paper describes a numerical model for irrigation of sloping and level borders. The model solves the differential form of the combined equations for the conservation of mass and momentum with the acceleration terms removed. A finite difference scheme is used with the depth gradient term expressed explicitly and averaged over the entire wetted border. The model is stable and inexpensive to run. Model results compare well with measured advance and recession times. Predicted ponding depths during infiltration and total water infiltrated over the border also agree well with observed behavior. The model gives results equivalent to those of other existing zero‐inertia and fully dynamic models but is much simpler to program and requires less computer code.
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References
1.
Atchison, K. T. (1973). “Retardance coefficients and other data for a vegetated irrigation border,” thesis presented to the Univ. of Arizona, at Tuscon, Ariz., in partial fulfillment of the requirements for the degree of Master of Science.
2.
Bassett, D. L., Fangmeier, D. D., and Strelkoff, T. (1980). “Hydraulics of surface irrigation,” Design and operation of farm irrigation systems, M. E. Jensen, Ed., ASAE Monograph #3.
3.
Bassett, D. L., and Fitzsimmons, D. W. (1976). “Simulating overland flow in border irrigation,” Trans., ASAE, 19(14), 666–671.
4.
Chow, V. T. (1959). Open‐channel hydraulics, McGraw‐Hill Book Co., Inc., New York, N.Y.
5.
Clemmens, A. J. (1978). “Discussion of dimensionless solutions of border‐irrigation advance,” J. Irrig. Drain. Div., ASCE, 104(IR3), 339–341.
6.
Clemmens, A. J. (1979). “Verification of the zero‐inertia model for border irrigation,” Trans., ASAE, 22(6), 1306–1309.
7.
Clemmens, A. J. (1982). “Evaluating infiltration for border irrigation models,” Agric. Water Manage., 5, 159–170.
8.
Clemmens, A. J. (1983). “Infiltration equations for border irrigation models,” Proc. Conf. Advanc. in Infil., ASAE, Chicago, Ill., Dec. 12–13, 1983, 266–274.
9.
Hart, W. E., Bassett, D. L., and Strelkoff, T. (1968). “Surface irrigation hydraulics—kinematics,” J. Irrig. Drain. Div., ASCE, 94(IR4), 419–440.
10.
Katopodes, N. D., and Strelkoff, T. (1977). “Hydrodynamics of border irrigation—complete model,” J. Irrig. Drain. Div., ASCE, 103(IR3), 309–324.
11.
Katopodes, N. D., and Strelkoff, T. (1977). “Dimensionless solutions for border irrigation advance,” J. Irrig. Drain. Div., ASCE, 103(IR4), 401–417.
12.
Roth, R. L. (1971). “Roughness during border irrigation,” thesis presented to the Univ. of Arizona, Tucson, Ariz., in partial fulfillment of the requirements for the degree of Master of Science.
13.
Singh, V. P., and Ram, R. S. (1983). “A kinematic model for surface irrigation: Verification by experimental data,” Water Resour. Res., 19(6), 1599–1612.
14.
Smith, R. E. (1972). “Border irrigation advance and ephemeral flood waves,” J. Irrig. Drain. Div., ASCE, 98(IR2), 289–307.
15.
Strelkoff, T. (1977). “Algebraic computation of flow in border irrigation,” J. Irrig. Drain. Div., ASCE, 103(IR3), 357–377.
16.
Strelkoff, T., and Katopodes, N. D. (1977). “Border‐irrigation hydraulics with zero inertia,” J. Irrig. Drain. Div., ASCE, 103(IR3), 325–342.
17.
Vieira, J. H. D. (1983). “Conditions governing the use of approximations for the Saint‐Venant equations for shallow surface water flow,” J. Hydrol., 60, 45–58.
18.
Weir, G. J. (1983). “A mathematical model for border strip irrigation,” Water Resour. Res., 19(4), 1011–1018.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 112 • Issue 2 • May 1986
Pages: 172 - 184
Copyright
Copyright © 1986 ASCE.
History
Published online: May 1, 1986
Published in print: May 1986
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