TECHNICAL PAPERS
Sep 1, 1990

Estimation of Surface Irrigation Parameters

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

Abstract

The basic concepts and procedures for the estimation of roughness and infiltration parameters encountered in surface irrigation are presented. A review of existing predictive and nonpredictive parameter‐estimation methods is presented with a formulation of the inverse surface irrigation problem. Conjugate gradient and variable metric techniques are used for the search of the parameter set that minimizes the errors between field observations and the linearized zero‐inertia model. Appropriate constraints that restrict the variation of parameters within physically realistic limits are also imposed on the objective function. The performance and radius of convergence of the search algorithm are studied by numerical tests that demonstrate the steps in the development of the associated objective function and the strategy required for convergence to the correct values of the field parameters. It is concluded that a key role is played by the formulation of the direct problem and its numerical solution, and that the nonlinear field‐parameter search converges quickly when the influence of independent parameters can be decoupled during construction of the objective function.

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References

1.
Beale, E. M. L. (1972). “A derivation of conjugate gradients.” Numerical methods for nonlinear optimization, F. A. Lootsma, ed., Academic Press, London, England.
2.
Becker, L., and Yeh, W. W.‐G. (1973). “Identification of multiple reach channel parameters,” Water Resour. Res., 9, Apr., 326–335.
3.
Bellman, R. (1970). Introduction to matrix analysis. 2nd Ed., McGraw‐Hill Book Co., New York, N.Y.
4.
Bouwer, H. (1957). “Infiltration patterns for surface irrigation.” Agric. Engrg., 15(5), 662–669.
5.
Broyden, C. G. (1967). “Quasi‐Newton methods and their application to functional minimization.” Math. Computation, 21, 368–381.
6.
Clemmens, A. J. (1978). Discussion of “Dimensionless solutions of border irrigation advance,” J. Irrig. and Drainage. Div., ASCE, Sept.
7.
Clemmens, A. J. (1981). “Evaluation of infiltration measurements for border irrigation,” Agric. Water Mgmt., 3(4), 251–267.
8.
Clemmens, A. J. (1982). “Evaluating infiltration for border irrigation models.” Agric. Water Mgmt., 5(2), 159–170.
9.
Dixon, L. C. W. (1972). “The choice of step length, a crucial factor in the performance of variable metric algorithms.” Numerical methods for nonlinear optimization, F. A. Lootsma, ed., Academic Press, London, England.
10.
Elliott, R. L. (1981). “Zero‐inertia furrow irrigation modeling applied to the derivation of infiltration parameters,” thesis presented to Colorado State University, at Fort Collins, Colo., in partial fulfillment of the requirements for the degree of Doctor of Philosophy.
11.
Elliott, R. L., and Eisenhauer, D. E. (1983). “Volume balance techniques for measuring infiltration in surface irrigation.” ASAE paper no. 83–2520, presented at the Am. Soc. of Agric. Engrs. winter meeting, Chicago, 111.
12.
Elliott, R. L., Walker, W. R., and Skogerboe, V. G. (1982). “Zero‐inertia modeling of furrow irrigation advance.” J. Irrig. and Drain. Div., ASCE, 103, Jun., 179–195.
13.
Fletcher, R. (1970). “A new approach to variable metric algorithms.” Comput. J., 13, 317–322.
14.
Fread, D. L., and Smith, G. F. (1977). “Calibration technique for 1‐D unsteady flow models.” J. Hydr. Div., ASCE, 104, July, 1027–1043.
15.
Gerald, C. F. (1973). Applied numerical analysis, Addison‐Wesley Publishing Co., Reading, Pa.
16.
Goldfarb, D. (1970). “A family of variable metric method derived by variational means.” Math. Computation, 24, 23–26.
17.
Jaynes, D. B. (1986). “Simple model of border irrigation.” Irrig. and Drain. Engrg., ASCE, 112(2), 172–184.
18.
Katopodes, N. D., and Strelkoff, T. (1977). “Hydrodynamics of surface irrigation advance—Complete model.” Irrig. and Drain. Div., ASCE, 103, Sept., 309–324.
19.
Katopodes, N. D. (1990). “Observability of surface irrigation advance.” J. Irrig. and Drain. Engrg., ASCE, 116(5), 656–675.
20.
Merriam, J. L. (1985). “Furrow irrigation evaluation using the advance ratio.” Proc. of the ASAE Summer Annual Meeting, American Society of Agricultural Engineers, Jun.
21.
Merriam, J. L., and Clemmens, A. J. (1985). “Time‐rated infiltrated depth families.” Proc. Specialty Conf., Development and Mgmt. Aspects of Irrig. and Drain., ASCE, Jul., 67–74.
22.
Norum, D. I., and Gray, D. M. (1970). “Infiltration equations from rate of advance data.” J. Irrig. and Drain. Div., ASCE, 96, Mar., 111–119.
23.
Seinfeld, J. H., and Lapidus, L. (1974). Mathematical methods in chemical engineering, vol. 3: Process modeling, estimation and identification. Prentice‐Hall, Inc., Englewood Cliffs, N.J.
24.
Shanno, D. F. (1970). “Conditioning of quasi‐Newton methods for function minimization.” Math. Computation, 24, 647–656.
25.
Shanno, D. F. (1978). “Conjugate gradient methods with inexact searches.” Math. Oper. Res., 3, Aug., 244–256.
26.
Shanno, D. F., and Phua, K.‐H. (1978). “Matrix conditioning and nonlinear optimization.” Math. Program., 14, 149–160.
27.
Singh, P., and Chauhan, H. S. (1973). “Determination of water intake rate from rate of advance.” Trans. ASAE, 16, Jun., 1081–1084.
28.
Smith, R. E. (1972). “Border irrigation advance and ephemeral flood waves.” J. Irrig. and Drain. Div., ASCE, 98, Jun., 289–307.
29.
Smith, D. L., and Duke, H. R. (1984). “Prediction of irrigation advance rates in real time.” Proc. Winter Annual Meeting of ASAE, American Society of Agricultural Engineers, Dec.
30.
Strelkoff, T. (1985). “BRDRFLW: A mathematical model of border irrigation.” ARS‐29, U.S. Dept. of Agr., Agric. Res. Service, Nov.
31.
Strelkoff, T., and Katopodes, N. D. (1977). “Border irrigation hydraulics with zero inertia.” J. Irrig. and Drain. Div., ASCE, 103, Sep., 325–342.

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Published In

Go to Journal of Irrigation and Drainage Engineering
Journal of Irrigation and Drainage Engineering
Volume 116Issue 5September 1990
Pages: 676 - 696

History

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

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Authors

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Nikolaos D. Katopodes
Assoc. Prof., Dept. of Civ. Engrg., Univ. of Michigan, Ann Arbor, MI 48109
Jyh‐Haw Tang
Res. Asst., Dept. of Civ. Engrg., Univ. of Michigan, Ann Arbor, MI
Albert J. Clemmens, Members, ASCE
Res. Hydr. Engr., U.S. Water Conservation Lab., USDA‐ARS, Phoenix, AZ 85040

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