Calibration of Riverbed Roughness
Publication: Journal of Hydraulic Engineering
Volume 121, Issue 9
Abstract
Singular value decomposition is used to calibrate the Manning's roughness coefficients in a one-dimensional unsteady flow model of the Upper Niagara River. The method is used to solve for the parameters after formulating the calibration problem as a generalized linear inverse problem. Singular value decomposition is useful in solving underdetermined, overdetermined or even-determined problems, and can provide information to compute matrices describing parameter resolution, covariance, and correlation. This information is useful in identifying the important parameter groups in the model. Calibration is repeated with different numbers of parameter groups to determine the variation of the output error and uncertainty of the parameters with the parameter dimension. For purposes of comparison, the model with a selected group of parameters is calibrated using the Gauss-Newton method and minimax methods. The study shows the relationship of the parameters to the geometric layout of the river and the gauging stations.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Beck, M. B.(1987). “Water quality modeling: a review of the analysis of uncertainty.”Water Resour. Res., 23(8), 1393–1442.
2.
Becker, L., and Yeh, W. W-G.(1972). “Identification of parameters in unsteady open channel flows.”Water Resour. Res., 8(4), 956–965.
3.
Becker, L., and Yeh, W. W-G.(1973). “Identification of multiple reach channel parameters.”Water Resour. Res., 9(2), 326–335.
4.
Chiu, C. L.(1978). “Kalman filter in open channel flow estimation.”J. Hydr. Engrg., ASCE, 104(8), 1137–1152.
5.
Forsythe, E. G., Malcom, A. M., and Moler, B. C. (1977). Computer methods for mathematical computations, Prentice Hall, Inc., Englewood Cliffs, N.J.
6.
Fread, D. L., and Smith, G. F.(1978). “Calibration techniques for 1-D unsteady flow models.”J. Hydr. Div., ASCE, 104(7), 1027–1043.
7.
Katopodes, N. D., Tang, J-H., and Clemments, A. J.(1990). “Estimation of surface irrigation parameters.”J. Hydr. Engrg., ASCE, 116(5), 676–696.
8.
Meneke, W. (1984). Geophysical data analysis: discrete inverse theory. Academic Press, Inc., New York, N.Y.
9.
Noble, B., and Daniel, J. (1975). Applied linear algebra. Prentice Hall Publishers, Englewood Cliffs, N.J.
10.
Potok, A. J., and Quinn, F. H.(1979). “A hydrodynamic model for the upper St. Lawrence River for water resources studies.”Water Res. Bull., 15(6), 1538–1555.
11.
Press, W. H., Flannery, B. P., Teukolsky, S. A., and Verrering, W. T. (1989). Numerical recipes, the art of scientific computing, Cambridge University Press, New York, N.Y.
12.
Uhrhammer, R. A.(1980). “Analysis of seismographic station networks.”Bull. Seismological Soc. of Am., 70(4), 1369–1379.
13.
Ward, S. H., Peeples, W. J., and Ryu, J. (1973). “Analysis of geoelectromagnetic data.”Methods in computational physics, 13, Academic Press, New York, N.Y., 226–238.
14.
Wiggins, R. A.(1972). “The general linear inverse problem: implications of surface waves and free oscillations for surface structures.”Rev. Geophysics and Space Physics, 10, 251–285.
15.
Willis, R., and Yeh, W. W-G. (1987). Groundwater systems planning and management, Prentice Hall, Inc., Englewood Cliffs, N.J.
16.
Yeh, W. W-G., and Becker, L.(1973). “Linear programming and channel flow identification.”J. Hydr. Div., ASCE, 99(11), 2013–2021.
17.
Yoon, Y. S., and Yeh, W. W-G. (1976). “Parameter identification in an inhomogeneous medium with the finite-element method.”Soc. Pet. Engrg. J., 217–226.
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 121 • Issue 9 • September 1995
Pages: 664 - 671
Copyright
Copyright © 1995 American Society of Civil Engineers.
History
Published online: Sep 1, 1995
Published in print: Sep 1995
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.