Multiple Linear Regression Model for Total Bed Material Load Prediction
Publication: Journal of Hydraulic Engineering
Volume 132, Issue 5
Abstract
A new total bed material load equation that is applicable for rivers in Malaysia was developed using multiple linear regression analyses. A total of 346 hydraulic and sediment data were collected from nine natural and channelized rivers having diverse catchment characteristics in Malaysia. The governing parameters were carefully selected based on literature survey and field experiments, examined and grouped into five categories namely mobility, transport, sediment, shape, and flow resistance parameters. The most influential parameters from each group were selected by using all possible regression model method. The suitable model selection criteria namely the -square, adjusted -square, mean square error, and Mallow’s statistics were employed. The accuracy of the derived model is determined using the discrepancy ratio, which is a ratio of the calculated values to the measured values. The best performing models that give the highest percentage of prediction from the validation data were chosen. In general, the newly derived model is best suited for rivers with uniform sediment size distribution with a value within the range of 0.37–4.0 mm and performs better than the commonly used Graf, Yang, and Ackers–White total bed material load equations.
Get full access to this article
View all available purchase options and get full access to this article.
Acknowledgments
The writers sincerely acknowledge the National Science Fellowship awarded by Ministry of Science, Technology and Innovation, Malaysia (MOSTI) that has resulted in this paper. They would also like to thank Professor Walter H. Graf, Professor K.G. Ranga Raju, Professor J. J. Peters, Maureen Neging, John R. Gray, and Denis J. O’Halloran for their valuable suggestions and comments at the preliminary stage of this study.
References
Ab. Ghani, A. (1993). “Sediment transport in sewers.” Ph.D. thesis, Univ. of Newcastle Upon Tyne, Newcastle, U.K.
Abu Hassan, Z. (1998). “Evaluation of scour and deposition in Malaysian rivers undergoing training works: Case studies of Pari and Kerayong Rivers.” M.Sc. thesis, Univ. Sains Malaysia, Penang, Malaysia.
Ackers, P., and White, W. R. (1973). “Sediment transport: New approach and analyses.” J. Hydraul. Div., Am. Soc. Civ. Eng. 99(11), 2041–2060.
Ariffin, J., Ab. Ghani, A., Zakaria, N. A., and Yahya, A S. (2002). “Evaluation of Equations on Total Bed Material Load.” Proc., Int. Conf. on Urban Hydrology for the 21st Century, Kuala Lumpur, Maylasia, 321–327.
Ariffin, J., Abd.-Ghani, A., Zakaria, N. A., Yahaya, A. S., and Abdul-Talib, S. (2001). “Sediment discharge on Langat River and its tributaries.” Proc., River Engineering and Urban Drainage R & D Colloquium, Penang, Malaysia, 72–78.
Brownlie, W. R. (1981). “Prediction of flow depth and sediment discharge in open channels.” Rep. No. KH-R-43B, Lab. of Hydraulic Research, California Institute of Technology, Pasadena, Calif.
Chang, H. H. (1993). FLUVIAL-12: Mathematical model for erodible channel, San Diego.
Department of Irrigation and Drainage Malaysia (DID). (2003). “River sediment data collection and analyses.” Final Rep., Vol III, Kuala Lumpur, Malaysia.
Graf, W. H. (1971). Hydraulics of sediment transport, McGraw-Hill, New York.
Hair, J. F., Anderson, R. E., Tatham, R. L., and Black, W. (1995). Multivariate data analyses with readings, 4th Ed., Prentice-Hall, Englewood Cliffs, N.J.
Ibrahim, A. (2002). “Evaluation and development of sediment transport equations for Kinta, Kulim and Kerayong Rivers.” M.Sc. thesis, Univ. Sains Malaysia., Penang, Malaysia.
Julien, P. Y. (2002). River mechanics, Cambridge University Press, Cambridge, U.K.
Karim, F. (1998). “Bed material discharge prediction for nonuniform bed sediments.” J. Hydraul. Eng., 124(6), 597–604.
Molinas, A., and Wu, B. (2001). “Transport of sediment in large sand-bed rivers.” J. Hydraul. Res., 39(2), 135–146.
Nagy, H. M., Watanabe, K., and Hirano, M. (2002). “Prediction of sediment load concentration in rivers using artificial neural network model.” J. Hydraul. Eng., 128(6), 588–595.
Nakato, T. (1990). “Tests of selected sediment-transport formulas.” J. Hydraul. Eng., 116(3), 362–379.
Raphelt, N. K. (1990). “Guidance on the selection and use of sediment discharge formulas.” Proc., National Conf. on Hydraulic Engineering, Am. Soc. Civ. Eng., 198–203.
Sharma, S. (1996). Applied multivariate techniques, Wiley, Chichester, U.K.
Shen, H. W., and Hung, C. S. (1983). “Remodified Einstein procedure for sediment load.” J. Hydraul. Res., 109 (4), 565–578
Sinnakaudan, S. (2003). “Sediment transport modeling and flood risk mapping in geographic information system” Ph.D. thesis, Univ. Sains Malaysia, Penang, Malaysia.
Sinnakaudan, S., Ab Ghani, A., S. Ahmad, M. S., and Zakaria, N A., (2003). “Flood risk mapping for Pari River incorporating sediment transport.” J. Env. Modeling Software, 18(2), 119–130.
Sinnakaudan, S., and Abu Bakar, S. H. (2005). “Tight coupling of SFlood model and ArcView GIS 3.2 for flood risk analysis.” Proc., 1st Int. Symp. on Geo-information for Disaster Management, Delft Univ. of Technology, Delft, The Netherlands, 1413–1425.
U.S. Army Corps of Engineers (USACE). (1993). Scour and deposition in rivers and reservoirs (HEC-6), user’s manual, California, Hydrologic Engineering Center, Calif.
U.S. Geological Survey (USGS). (2003a). “Suspended-sediment database daily values of suspended sediment and ancillary data.” ⟨http://webserver.cr.usgs.gov/sediment/ancState.cfm⟩ (May 15, 2003).
U.S. Geological Survey (USGS). (2003b). “Water resources internet site.” ⟨http://water.usgs.gov/⟩ (Jan. 5, 2003).
Vanoni, V. A., ed. (1975). “Sedimentation engineering.” ASCE manuals and reports on engineering practice, 1st Ed., Vol. 54, ASCE, New York.
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.
White, W. R., Milli, H., and Crabbe, A. D. (1975). “Sediment transport theories: A review—Part 2.” Proc. Inst. Civ. Eng., 39, 265–292.
Woo, H. A. M. , Yoo, K., and Seoh, B. (1993). “Performance test of some selected sediment transport formulas.” Proc., National Conf. on Hydraulics, ASCE, San Diego, 694–699.
Yahaya, N. K. (1999). “Development of sediment rating curves for rivers in Malaysia: Case studies of Pari, Kerayong, and Kulim Rivers.” M.Sc. thesis, Univ. Sains Malaysia, Penang, Malaysia.
Yang, C. T., and Molinas, A. (1982). “Sediment transport and unit stream power function.” J. Hydraul. Div., Am. Soc. Civ. Eng., 108(6), 774–793.
Yu, K., and Woo, H. (1994). “A comparative assessment of some selected sediment transport formulas.” Proc., 9th Congress, APD-IAHR, Singapore, 282–289.
Information & Authors
Information
Published In
Copyright
© 2006 ASCE.
History
Received: Oct 20, 2003
Accepted: Jun 27, 2005
Published online: May 1, 2006
Published in print: May 2006
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.