Full Text:   <1066>

CLC number: TV142;P343.1

On-line Access: 

Received: 2001-12-27

Revision Accepted: 2002-05-09

Crosschecked: 0000-00-00

Cited: 7

Clicked: 3183

Citations:  Bibtex RefMan EndNote GB/T7714

-   Go to

Article info.
1. Reference List
Open peer comments

Journal of Zhejiang University SCIENCE A 2003 Vol.4 No.2 P.186~194


Equilibrium bed-concentration of nonuniform sediment

Author(s):  SUN Zhi-lin, SUN Zhi-feng, DONAHUE John

Affiliation(s):  Department of Hydraulic & Ocean Engineering, Zhejiang University, Hangzhou 310028, China; more

Corresponding email(s):   szl@mail.hz.zj.cn

Key Words:  Equilibrium bed concentration, Suspended load, Stochastic-mechanistic model, Nonuniform sediment

Share this article to: More

SUN Zhi-lin, SUN Zhi-feng, DONAHUE John. Equilibrium bed-concentration of nonuniform sediment[J]. Journal of Zhejiang University Science A, 2003, 4(2): 186~194.

@article{title="Equilibrium bed-concentration of nonuniform sediment",
author="SUN Zhi-lin, SUN Zhi-feng, DONAHUE John",
journal="Journal of Zhejiang University Science A",
publisher="Zhejiang University Press & Springer",

%0 Journal Article
%T Equilibrium bed-concentration of nonuniform sediment
%A SUN Zhi-lin
%A SUN Zhi-feng
%J Journal of Zhejiang University SCIENCE A
%V 4
%N 2
%P 186~194
%@ 1869-1951
%D 2003
%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2003.0186

T1 - Equilibrium bed-concentration of nonuniform sediment
A1 - SUN Zhi-lin
A1 - SUN Zhi-feng
J0 - Journal of Zhejiang University Science A
VL - 4
IS - 2
SP - 186
EP - 194
%@ 1869-1951
Y1 - 2003
PB - Zhejiang University Press & Springer
ER -
DOI - 10.1631/jzus.2003.0186

Knowledge of the equilibrium bed-concentration is vital to mathematical modeling of the river-bed deformation associated with suspended load but previous investigations only dealt with the reference concentration of uniform sediment because of difficulties in observation of the bed-concentration. This work is a first attempt to develop a theoretical formula for the equilibrium bed-concentration of any fraction of nonuniform sediment defined at the bed-surface. The formula is based on a stochastic-mechanistic model for the exchange of nonuniform sediment near the bed, and described as a function of incipient motion probability, non-ceasing probability, pick-up probability, and the ratio of the average single-step continuous motion time to static time. Comparison of bed-concentration calculated from the proposed formula with the measured data showed satisfactory agreement, indicating the present formula can be used for solving the differential equation governing the motion of suspended load.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article


[1]Akiyama, J. and Fukushima, Y., 1986. Entrainment of Noncohesive Bed Sediment into Suspension. 3rd Intern. Symp. on River Sedimentation, Mississippi University, USA.

[2]Cao, Z., 1997. Turbulent bursting sediment entrainment function. ASCE Journal of Hydraulic Engineering, 123(3):233-236.

[3]Einstein, H.A., 1950. The Bedload Function for sediment transport in open channel flows. U. S. Dept. Agri. Tech. Bull, (1026):71.

[4]Einstein, H.A. and Chien, N., 1954. Second Approximation to the Solution of the Suspended Load Theory. Chien's Collection of Research Papers (1990), Qinghua University Press, Beijing.

[5]Engelund, F. and Fredsoe, 1976. A sediment transport model for straight alluvial channel. Nordic Hydrology, 7(5): 293-306.

[6]Garcia, M. and Parker, G., 1991. Entrainment of bed sediment into suspension. ASCE Journal of Hydraulic Engineering, 117(4):414-435.

[7]Deng, J., 1990. Theory of Gray System. Huazhong University of Science and Technology Press, Wuhan(in Chinese).

[8]Mahmood, K. and Haque, M.I., 1987. Suspended Sediment in Sandbed Channels. In: Mechanics of Alluvial Channel K. Mahmood (Ed).

[9]Murphy, P.J., 1985. Equilibrium boundary condition for suspension. ASCE Journal of Hydraulic Engineering, 111(1):108-117.

[10]Nadaoka, K., 1991. A simple quasi-3D model of suspended sediment transport in a non-equilibrium state. Journal of Coastal Engineering, 18(1): 83-110.

[11]Smith, J. D. and Mclean, S.R., 1977. Spatially averaged flow over a wavy surface. Journal of Geophysical Research, 82(12):1735-1746.

[12]Sun, Z., 1996. Stochastic Theory of Nonuniform Sediment Transport, A Dissertation presented in partial fulfillment of the requirements for the degree of Doctor of Philosophy.

[13]Sun, Z. and Xie, J., 1997. Fractional incipient motion of nonuniform sediment. Journal of Hydraulic Engineering, (10): 25-32 (in Chinese).

[14]Vanoni,V.A., 1946. Transportation of suspended sediment by water. Transaction ASCE, 111: 67-133.

[15]Van Rijn, L.C., 1984. Sediment transport part II: suspended load transport. ASCE Journal of Hydraulic Engineering, 110(11):1613-1641.

[16]Zhang, R. and Xie, J., 1997. Sedimentation research in China. China Water and Power Press, Beijing.

[17]Zyserman, J. A. and Fredsoe, J., 1994. Data analysis of bed concentration of suspended sediment. ASCE Journal of Hydraulic Engineering, 120(9): 1021-1042.

Open peer comments: Debate/Discuss/Question/Opinion



2010-09-21 16:23:11

I come from Hohai University. I am studying on non-equilibrium sediment transport

Please provide your name, email address and a comment

Journal of Zhejiang University-SCIENCE, 38 Zheda Road, Hangzhou 310027, China
Tel: +86-571-87952783; E-mail: cjzhang@zju.edu.cn
Copyright © 2000 - Journal of Zhejiang University-SCIENCE