Identification Problem of Open-Channel Friction Parameters
Publication: Journal of Hydraulic Engineering
Volume 123, Issue 12
Abstract
Values of calibration parameters embedded in open-channel flow equations normally are ascertained using observation data that often contains Gaussian noise. These values subsequently suffer from induced errors even if they are determined by using optimization methods. If these parameters are to be considered a reliable representation of their true values, investigations are needed to establish their response to a range of factors, such as data errors, through statistical methods. A systematic study was carried out by a set of synthetic database for effective control of test conditions and by using typical flood events. The investigations showed that the identified parameters could be affected by such factors as data error, objective function, or gauge sites. However, through a better understanding of the behavior of the induced errors the mean of the identified parameters was found to lie within a prescribed confidence interval that contained the true value, even in the presence of high noise levels. Selection of objective function was found to be prone to undue biases affecting the identified parameters, which could be avoided through a careful consideration of the problem.
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References
1.
Amein, M., and Fang, C. S.(1970). “Implicit flood routing in natural channels.”J. Hydr. Div., ASCE, 96(12), 2481–2500.
2.
Baltzer, R. A., and Lai, C.(1968). “Computer simulation of unsteady flows in waterways,”J. Hydr. Div., ASCE, 94(4), 1083–1117.
3.
Becker, L., and Yeh, W. W.-G.(1972). “Identification of parameters in unsteady open channel flows.”Water Resour. Res., 9(2), 326–335.
4.
Burnham, M. W., and Davis, D. W.(1990). “Effects of data errors on computed steady-state profiles.”ASCE Proc., J. Engrg., New York, N.Y., 116(7), 914–929.
5.
Carrera, J., and Neuman, S. P.(1986). “Estimation of aquifer parameter under transient and steady state conditions: 2. Uniqueness, stability and solution algorithms.”Water Resour. Res., 22(2), 211–227.
6.
Carter, R. W., and Davidian, J. (1977). “General procedure for gaging streams,”Application of hydraulics. U.S. Geological Survey Techniques, Water Resources Inv., U.S. Government Printing Office, Washington, D.C.
7.
Chow, V. T. (1959). Open channel hydraulic. McGraw-Hill, Inc., New York, N.Y.
8.
Clarke, R. T., and Bower, C. E.(1973). “A review of some mathematical models used in hydrology with observations on their calibration and use.”J. Hydrol., Amsterdam, The Netherlands, 19(1), 1–20.
9.
Courant, R., and Lax, P. (1959). “On nonlinear partial differential equations with two independent variables.”AEC(US), Res. and Devel. Rep. No. ANL5990, 225–271.
10.
Diskin, M. H., and Simon, E.(1977). “A procedure for the selection of objective functions for hydrologic simulation models.”J. Hydrol., Amsterdam, The Netherlands, 34, 129–149.
11.
Emsellem, Y., and de Marsily, G.(1971). “An automatic solution for the inverse problem.”Water Resour. Res., 5(4), 1264–1283.
12.
Fread, D. L., and Smith, G. F.(1978). “Calibration technique for 1.D unsteady flow models.”ASCE Proc., J. Hydr. Div., 104(7), 1027–1044.
13.
Gustafson, K. E. (1980). Introduction to partial differential equations and Hilbert space methods. John Wiley and Sons, New York, N.Y.
14.
Khatibi, R. H. (1989). “Mathematical open channel flow models and identification of their friction parameters,” PhD thesis, Queen Mary and Westfield College, London University, London, England.
15.
Marquardt, D. W.(1964). “An algorithm for least squares estimation of nonlinear parameters.”J. Soc. Industrial and Appl. Math., 11(2), 431–441.
16.
Neuman, S. P.(1973). “Calibration of distributed parameter groundwater flow models viewed as a multi-objective decision process under uncertainty.”Water Resour. Res., 9(4), 1006–1021.
17.
Powell, M. J. D.(1965). “A method for minimizing a sum of squares of non-linear function without calculating derivatives.”The Comp. J., 7, 303–307.
18.
Verwey, A. (1973). “Mathematical model for flow in rivers with realistic bed configuration.”Rep. Ser. No. 12, Delft, The Netherlands.
19.
Vreugdenhil, C. B. (1973). “Computational methods for channel flow.”Publ. No. 100, Delft Hydraulics, Delft, The Netherlands.
20.
Wiggert, J. M., Taylor, M. R., and Contractor, D. N. (1976). “Optimization of an implicit flow routing model.”Int. Symp. on Unsteady Flow in Open Channels, University of Newcastle-on-Tyne, BHRA Fluid Engineering, Cranfield, Bedford, England.
21.
Williams, W. H.(1978). “How bad can `good' data really be?”The Am. Statistician, 32(2), 61–65.
22.
Wormleaton, P. R., and Karmegam, M. (1980). “Model parameter identification for routing floods in natural rivers.” Asian and Pacific Regional Div. of the Int. Assoc. for Hydr. Res. Conf. in Water Resour. Devel., Taipei, Taiwan, 681–689.
23.
Wormleaton, P. R., and Karmegam, M. (1984). “Parameter optimization in flood routing.”ASCE Proc., J. Hydr. Div., New York, N.Y., (12), 1799–1810.
24.
Yeh, W. W.-G., and Becker, L.(1973). “Linear programming and channel flow identification.”ASCE Proc., J. Hydr. Div., 99(11), 2013–2021.
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Copyright © 1997 American Society of Civil Engineers.
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Published online: Dec 1, 1997
Published in print: Dec 1997
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