Sediment Concentration and Its Prediction by Perceptron Kalman Filtering Procedure
Publication: Journal of Hydraulic Engineering
Volume 130, Issue 8
Abstract
Predictions of the discharge and the associated sediment concentration are very useful ingredients in any water resources reservoir design, planning, maintenance, and operation. Although there are many empirical relationships between the discharge and sediment concentration amounts, they need estimation of model parameters. Generally, parameter estimations are achieved through the regression method (RM), which has several restrictive assumptions. Such models are locally valid and their structures and parameter values are questionable from region to others. This paper proposes a new approach for sediment concentration prediction provided that there are measurements of discharge and sediment concentration. The basis of the methodology is a dynamic transitional model between successive time instances based on two variables, namely, discharge and sediment concentration measurements. The transition matrix elements are estimated from the measurements through a special form of the artificial neural networks as perceptrons. The sediment concentration predictions from discharge measurements are achieved through a perceptron Kalman filtering (PKF) technique. In the meantime, this technique also provides temporal predictions. A certain portion of the measurement sequence is employed for the model parameter estimations through training and the remaining part is used for the model verification. Detailed comparisons between RM and PKF approaches are presented and, finally, it is shown that the latter model works dynamically by simulating the observation scatter diagram in the best possible manner with smaller prediction errors. The application of the methodology is performed for the discharge and sediment concentration measurements obtained from the Mississippi River basin at St. Louis, Missouri. It is found that the PKF methodology has smaller average relative, root-mean-square, and absolute errors than RM. Furthermore, graphical representation, such as the scatter and frequency diagrams, indicated that the PKF approach has superiority over the RM.
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References
Adams, J.(1980). “High sediment yields from major rivers of the Western Southern Alps, New Zealand.” Nature (London), 287, 88–89.
Alonso, C. V., Neibling, W. H., and Foster, G. R.(1982). “Estimating sediment transport capacity in watershed modeling.” Trans. Am. Soc. Civ. Eng.,24(5), 1211–1226.
Altunkaynak, A., and Özger, M. (2004). “Temporal significant wave height estimation from wind speed by perceptron Kalman Filtering.” Ocean Eng., in press.
Bagnold, R. A. (1966). “An approach to the sediment transport problem from general geophysics.” US Geological Survey Professional Paper No. 422-J, Washington, D.C.
Brownlie, W. R. (1981). “Prediction of flow depth and sediment discharge in open channels.” Rep. No. KH-R-43B, Laboratory of Hydraulic Research, California Institute of Technology, Pasadena, Calif.
Engelund, F., and Hansen, E. (1967). A monograph on sediment transport in alluvium streams, Danish Technical (Teknisk Forlag), Copenhagen, Denmark.
Galay, V. (1987). “Erosion and sedimentation in the Nepal Himalaya.” Water and Energy commission Secretariat, Katmandu, Nepal.
Gelb, A. (1974). Applied optimal estimation, MIT Press, Cambridge, Mass.
Griffiths, G. A.(1979). “High sediment yield from major rivers of the Western Southern Alps, New Zealand.” Nature (London), 282, 61–63.
Holland, J. (1975). Adoption in neural and artificial systems, University of Michigan Press, Ann Arbor, Mich.
Jain, S. K.(2001). “Development of integrated sediment rating curves using ANNs.” J. Hydraul. Eng., 127(1), 30–37.
Jansson, M. B.(1996). “Estimating a sediment-rating curve of the Reventazon river at Palamo using mean loads with in discharge classes.” J. Hydrol., 183(3–4), 227–241.
Kalman, R. E.(1960). “A new approach to linear filtering and prediction problems.” J. Basic Eng., 82, 35–45.
Karim, M. F., and Kennedy, J. F.(1990). “Menu of coupled velocity and sediment-discharge relations for rivers.” J. Hydraul. Eng., 116(8), 978–996.
Laursen, E. M.(1958). “The total sediment load of streams.” J. Hydraul. Div., Am. Soc. Civ. Eng., 54(1), 1–36.
Lopes, V. L., and Ffolliott, P. F.(1993). “Sediment rating curves for a clearcut Ponderosa Pine watershed in Northern Arizona.” Water Resour. Bull.,29(3), 369–382.
McBean, E. A., and Al-Nassari, S.(1988). “Uncertainty in suspended sediment transport curves.” J. Hydraul. Eng., 114(1), 63–74.
Nagy, H. M., Watanabe, K., and Hirano, M.(2002). “Prediction of sediment load concentration in river using artificial neural network model.” J. Hydraul. Eng., 128(6), 588–595.
Sen, Z.(1980). “Adaptive Fourier analysis of periodic stochastic hydrological sequences.” J. Hydrol., 46, 239–249.
Sen, Z.(1984). “Adaptive pumping test analysis.” J. Hydrol., 74, 259–270.
Shen, H. W., and Hung, C. S. (1972). “Chapter 14: An engineering approach to total bed material load by regression analysis.” Proc., Sedimantation Symp., 14.1–14.7.
Sivakumar, B.(2000). “A phase-space reconstruction approach to prediction of suspended sediment concentration in rivers.” J. Hydrol., 258, 149–162.
Sivakumar, B., and Jayawardena, A. W.(2002). “An investigation of the presence of low-dimensional chaotic behaviour in the sediment trans-port phenomenon.” Hydrol. Sci. J., 47(3), 405–416.
Sivakumar, B., Jayawardena, A. W., and Fernando, T. M. K. G.(2002). “River flow forecasting: Use of phase-space reconstruction and artificial neural network approaches.” J. Hydrol., 265, 225–245.
Van Rijn, L. C.(1984a). “Sediment transport, Part I: Bed load transport.” J. Hydraul. Eng., 110(10), 1431–1456.
Van Rijn, L. C.(1984b). “Sediment transport, Part II: Suspended load transport.” J. Hydraul. Eng., 110(11), 1613–1641.
Van Rijn, L. C.(1984c). “Sediment transport, Part III: Bed forms and alluvial roughness.” J. Hydraul. Eng., 110(12), 1733–1754.
Yang, C. T.(1972). “Unit stream power and sediment transport.” J. Hydraul. Div., Am. Soc. Civ. Eng., 98(10), 1805–1826.
Yang, C. T.(1973). “Incipient motion and sediment transport.” J. Hydraul. Div., Am. Soc. Civ. Eng., 99(10), 1679–1704.
Yang, C. T. (1996). Sediment transport, theory and practice, McGraw–Hill, New York.
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Copyright © 2004 American Society of Civil Engineers.
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Received: Sep 5, 2002
Accepted: Jan 12, 2004
Published online: Jul 15, 2004
Published in print: Aug 2004
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