Identification of Furrow Intake Parameters from Advance Times and Rates
Publication: Journal of Irrigation and Drainage Engineering
Volume 119, Issue 2
Abstract
This paper analyzes the convergence of a numerical model for the quantification of lumped furrow infiltration parameters. The model minimizes the squared difference of observed and model‐predicted advance times as a function of distance. An alternative objective function was formulated in terms of velocity of the advancing wave. Predicted values were obtained with a hydrodynamic irrigation model with wetted‐perimeter‐dependent infiltration. Solutions were computed with the Marquardt method. The three parameters of the empirical extended Kostiakov equation were estimated when nonuniformity of infiltration was the only source of variability in the advance curve. Faster convergence and larger radius of convergence resulted from fitting velocities rather than advance times. Measurement errors and system perturbations impeded the simultaneous identification of three parameters, while computation of two coefficients from highly variable velocities required the application of weighted least squares. Similar parameters were obtained from few or many observations, but convergence improved with smaller data sets.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bautista, E., and Wallender, W. W. (1992). “Hydrodynamic furrow irrigation model with specified space steps.” J. Irrig. Drain. Engrg., ASCE, 118(3), 450–465.
2.
Blair, A. W., and Smerdon, E. T. (1988). “Infiltration from irrigation advance data. I: Theory.” J. Irrig. Drain. Engrg., ASCE, 114(1), 18–29.
3.
Clemmens, A. J. (1989). “Management of basin/border irrigation systems with feedback control.” Paper presented at the ASAE Winter Meeting, December 12–15, New Orleans, Louisiana.
4.
Draper, N. R., and Smith, H. (1981). Applied regression analysis. John Wiley & Sons, Inc., New York, N.Y., 10.
5.
Elliott, R. L., and Walker, W. R. (1982). “Field evaluation of furrow infiltration and advance functions.” Trans. ASAE, 24(2), 396–400.
6.
Katopodes, N. D. (1990). “Observability of surface irrigation advance.” J. Irrig. Drain. Engrg., ASCE, 116(5), 656–675.
7.
Kitamura, S., and Nakagiri, S. (1977). “Identifiability of spatially varying and constant parameters in distributed systems of parabolic type.” SIAM J. Control Optim., 15(5), 785–802.
8.
Maheshwari, B. L., Turner, A. K., McMahon, T. A., and Campbell, B. J. (1988). “An optimization technique for estimating infiltration characteristics in border irrigation.” Agric. Water Mgmt., 13, 13–24.
9.
Marquardt, D. W. (1963). “An algorithm for least‐squares estimation of nonlinear parameters.” J. Soc. Indust. Appl. Math., 11(2), 431–441.
10.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Vetterling, W. T. (1986). Numerical recipes. The art of scientific computing. Cambridge Univ. Press, Cambridge, England.
11.
Schwankl, L. J. (1989). “Stochastic furrow irrigation modeling.” P.D. thesis, Univ. of California, Davis, Calif.
12.
Schwankl, L. J., and Wallender, W. W. (1988). “Zero‐inertia furrow modeling with variable infiltration and hydraulic characteristics.” Trans. ASAE, 31(5), 1470–1475.
13.
Seinfeld, J. H. (1969). “Identification of parameters in partial differential equations.” Chem. Engrg. Sci., 24, 65–74.
14.
Smerdon, E. T., Blair, A. W., and Reddell, D. L. (1988). “Infiltration from irrigation advance data. I: Theory.” J. Irrig. Drain. Engrg., ASCE, 114(1), 4–17.
15.
Souza, F. (1981). “Nonlinear hydrodynamic model of furrow irrigation.” Ph.D. thesis, Univ. of California, Davis, Calif.
16.
Walker, W. R., and Busman, J. D. (1990). “Real‐time estimation of furrow infiltration.” J. Irrig. Drain. Engrg., ASCE, 116(3), 299–318.
17.
Wallender, W. W., and Rayej, M. (1990). “Shooting method for Saint Venant equations of furrow irrigation.” J. Irrig. Drain Engrg., ASCE, 116(1), 114–122.
18.
Yih, S. M., and Davidson, B. (1975). “Identification in nonlinear, distributed parameters water quality models.” Water Resour. Res., 11(5), 693–704.
Information & Authors
Information
Published In
Journal of Irrigation and Drainage Engineering
Volume 119 • Issue 2 • March 1993
Pages: 295 - 311
Copyright
Copyright © 1993 American Society of Civil Engineers.
History
Received: Oct 1, 1991
Published online: Mar 1, 1993
Published in print: Mar 1993
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.