TECHNICAL PAPERS
Dec 1, 1983

Statistical Properties of Sediment Movement

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 12

Abstract

The downstream dispersion of a sediment bed particle is represented by a stationary point process in space and time domains and plausible forms of the probability density functions of the particle step length and rest duration are derived. The space rate parameter proposed in this paper gives step length density functions whose forms vary from the exponential curve to the bell‐shaped configuration. The time rate parameters used were proposed by Vukmirovic and Wilson. Theoretical results agree well with laboratory experimental data obtained for dune bed conditions.

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References

1.
Cheong, H. F., and Shen, H. W., “On the Motion of Sand Particles in Alluvial Channel,” Proceedings of the 2nd International Symposium on Stochastic Hydraulics, Lund, Sweden, Aug., 1976.
2.
Cheong, H. F., and Shen, H. W., “Stochastic Characteristics of Sediment Motions,” Journal of the Hydraulics Division, ASCE, Proc. Paper 12269, Vol. 102, No. HY7, July, 1976, pp. 1035–1049.
3.
Crickmore, M. J., and Lean, G. H., “The Measurement of Sand Transport by Means of Radioactive Tracers,” Proceedings of the Royal Society, A, Vol. 266, 1962.
4.
Einstein, H. A., “Der Geschiebertrieb als Wahrscheinlichkeitsproblem,” Verlag Rascher Co., Zurich, 1937.
5.
Grigg, N. S., “Motion of Single Particles in Alluvial Channels,” Journal of the Hydraulics Division, ASCE, Vol. 96, No. HY12, Dec., 1970, pp. 2501–2518.
6.
Hubbell, D. W., and Sayre, W. W., “Sand Transport Studies with Radioactive Tracers,” Journal of the Hydraulics Division, ASCE, Vol. 90, No. HY3, 1964, pp. 39–68.
7.
Hung, C. S., “Stochastic Analysis of Bedload Particle Movement,” thesis presented to Colorado State University.
8.
Hung, C. S., and Shen, H. W., “Stochastic Models of Sediment Motion on Flat Bed,” Journal of the Hydraulics Division, ASCE, Vol. 102, No. HY12, Dec., 1976, pp. 1745–1759.
9.
Shen, H. W., and Todorovic, P. N., “A General Stochastic Model for the Transport of Sediment Bed Material,” Stochastic Hydraulics, Chao‐lin Chiu, ed., University of Pittsburg School of Engineering Publication Series, No. 4, Pittsburg, Pa., 1971.
10.
Vukmirovic, V., and Wilson, G., Jr., “Sediment Load Motion—Random Process,” Proceedings of 2nd International Association for Hydraulic Research Symposium on Stochastic Hydraulics, Lund, Sweden, Aug., 1976.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 12December 1983
Pages: 1577 - 1588

History

Published online: Dec 1, 1983
Published in print: Dec 1983

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Authors

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Hin‐Fatt Cheong
Assoc. Prof., Faculty of Engrg., National Univ. of Singapore, Kent Ridge, Republic of Singapore 0511
Hsieh‐Wen Shen
Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo. 80523

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