One-Dimensional Mathematical Model for Suspended Sediment by Lateral Integration
Publication: Journal of Hydraulic Engineering
Volume 124, Issue 7
Abstract
Although a one-dimensional (1D) mathematical model based on the nonequilibrium transport of sediment is rational in principle, its application to rivers requires empirical determination of a key coefficient in the basic equation of transport, this is known as the adjustment coefficient. It also requires, as all 1D models do, empirical and rather arbitrary apportioning of the computed total scour or deposition to the wetted perimeter. In this paper an attempt is made to avoid both. The equation of sediment transport is written for a vertical stream tube of infinitesimal width for which the adjustment coefficient has been rationally determined. A procedure of lateral integration is then applied to obtain the global values of the said coefficient for the entire cross section and the distribution of deposition/erosion to the wetted perimeter. The shape of the cross section is thus determined along with the amount of deposition/erosion. Results obtained with this model compare favorably with those of depth-integrated two-dimensional (2D) computations and physical model testing, both carried out for the dam neighborhood of the Three Gorges Project.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Dobbins, W. E. (1944). “Effect of turbulence on sedimentation.”Trans. ASCE, 109.
2.
Dong, Z., and Wang, G. (1994). “A preliminary report on the model test for the TGP dam area sediment deposition.” Rep. of the Dept. of Hydr. Engrg., Tsinghua Univ., Beijing, P.R. China (in Chinese).
3.
Han, Q. (1980). “A study on the nonequilibrium transport of suspended sediment.” 1st Int. Symp. on River Sedimentation, Beijing, P.R. China.
4.
Holly, F. M., and Preissmann, A. (1977). “Accurate calculation of transport in two dimensions.”J. Hydr. Div., ASCE, 103(11).
5.
Hou, H. (1982). Fundamental problems in river dynamics. Water Resources and Hydropower Press (in Chinese).
6.
Hou, H., Chen, M., and Zhang, Q. (1964). “Theoretical analysis on the concentration adjustment of sediment.” Rep. of the Inst. of Water Conservancy & Hydroelectric, Power Research (IWHR), Beijing, P.R. China (in Chinese).
7.
Lane, E. W., and Kalinski, A. A. (1941). “Engineering calculation of suspended sediment.”Trans. Am. Geophysical Union.
8.
Li, Y., and Xie, J. (1986). “Mathematical modeling of two-dimensional flow in alluvial rivers.”Chinese J. Hydr. Engrg., 11.
9.
Lin, B., Huang, J., and Li, X. (1983). “Unsteady transport of suspended load at small concentration.”J. Hydr. Engrg., ASCE, 109(1).
10.
Lin, B., and Shen, H. (1984). “Two-D flow with sediment by characteristics method.”J. Hydr. Engrg., ASCE, 110(5).
11.
Mei, C. C. (1969). “Non-uniform diffusion of suspended sediment.”J. Hydr. Div., ASCE, 95(1).
12.
van Rijn, L. C. (1985). “Sand transport at high velocities.”Rep. M2127A and M2127B, Delft Hydr. Lab., Delft, The Netherlands.
13.
Zhang, Q. (1962). “Experiments on the concentration adjustment of sediment in flume.” Rep. of the Inst. of Water Conservatory & Hydroelectric, Power Research (IWHR), Beijing, P.R. China (in Chinese).
14.
Zhang, Q. (1980). “A study on the diffusion process of suspended sediment.”J. Sediment Res., 1 (in Chinese).
15.
Zhang, R. (1961). River dynamics. China Industrial Press, 60–63 (in Chinese).
16.
Zhou, J., and Lin, B.(1995). “2-D Mathematical model for suspended sediment—Part I: Model theory and validations.”J. Basic Sci. and Engrg., 3(1), 78–98.
17.
Zhu, P., and Peng, R. (1964). “A study on the vertical 2-D deposition and its applications.” Rep. of the Inst. of Water Conservatory & Hydroelectric, Power Research (IWHR), Beijing, P.R. China (in Chinese).
Information & Authors
Information
Published In
Journal of Hydraulic Engineering
Volume 124 • Issue 7 • July 1998
Pages: 712 - 717
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Jul 1, 1998
Published in print: Jul 1998
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.