TECHNICAL PAPERS
Sep 1, 1990

Observability of Surface Irrigation Advance

Publication: Journal of Irrigation and Drainage Engineering
Volume 116, Issue 5

Abstract

The conditions of observability and field‐parameter identifiability for surface irrigation advance are examined by analytical' techniques and the linearized zero‐inertia model. The existence and uniqueness of the inverse irrigation problem are established by numerical tests based on a nonlinear estimation algorithm. The limitations are examined for determining the field parameters of intake and surface resistance from, field‐measured values of advance and depth for border‐strip irrigation. The linearized zero‐inertia model proves to be conditionally observable, and the resistance and two infiltration parameters cannot be identified from measurements of the rate of advance alone. All three parameters on the other hand can be identified from measurements of the surface‐water profile. The design of appropriate experiments that lead to observability of the problem is examined and the analytical and numerical limitations of the zero‐inertia model that hinder the inverse solution of surface irrigation advance are identified.

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References

1.
Elliott, R. L., Walker, W. R., and Skogerboe, G. V. (1982). “Zero‐inertia modeling of furrow irrigation advance.” J. Irr. and Drain. Div., ASCE, 103(2), 179–195.
2.
Katopodes, N. D., Tang, J.‐H., and Clemmens, A. J. (1990). “Estimation of surface irrigation parameters.” J. Irrig. and Drain. Engrg., ASCE, 116(5), 676–696.
3.
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Merriam, J. L. (1985). “Furrow irrigation evaluation using the advance ratio.” Proc. ASAE Summer Annual Meeting, American Society of Agricultural Engineers, June.
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Norum, D. I., and Gray, D. M. (1970). “Infiltration equations from rate of advance data.” J. Irrig. and Drain. Div., ASCE, 96(1), 111–119.
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Singh, P., and Chauhan, H. S. (1973). “Determination of water intake rate from rate of advance.” Trans. ASAE, 16(6), June, 1081–1084.
9.
Strelkoff, T., and Katopodes, N. D. (1977). “Border irrigation hydraulics with zero inertia.” J. Irrig. and Drain. Div., ASCE, 103(4), 325–342.
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Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 116Issue 5September 1990
Pages: 656 - 675

History

Published online: Sep 1, 1990
Published in print: Sep 1990

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Authors

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Nikolaos D. Katopodes, Member, ASCE
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Michigan, Ann Arbor, MI 48109

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