TECHNICAL PAPERS
Apr 1, 1983

Remodified Einstein Procedure for Sediment Load

Publication: Journal of Hydraulic Engineering
Volume 109, Issue 4

Abstract

A procedure has been developed to calculate the total sediment transport rates from the flow and suspended sediment data collected from the sampled zone (by depth integrated sampler). This procedure is a modification of the well‐known “Modified Einstein Procedure.” The two major modifications are that (1) The z components in the Modified Einstein Procedure, based on the 0.7 power of the fall velocity, were replaced with a regression equation to be determined by actual field data; and (2) an optimization procedure with constraints was included to minimize the difference between the measured and calculated suspended sediment rates in the sampled zone. Using measured loads from large rivers, a comparison of suspended sediment loads calculated by the two methods indicates that this Remodified Einstein Procedure is superior to the Modified Einstein Procedure. Results from this study also indicated that sediment load in unsampled zone for large rivers can exceed the measured sediment load in sampled zones.

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References

1.
Colby, B. R., and Hembree, C. H., “Computations of Total Sediment Discharge, Niobrara River near Cody, Nebraska,” U.S. Geological Survey Water Supply Paper 1357, U.S. Government Printing Office, Washington, D.C., 1955.
2.
Einstein, H. A., “The Bed Load Function for Sediment Transportation in Open Channel Flows,” Technical Bulletin 1086, U.S. Department of Agriculture, Washington, D.C., 1950.
3.
Kuester, J. L., and Mize, J. H., Optimization of Technique with Fortran, McGraw‐Hill Book Co., Inc., New York, N.Y., 1973.
4.
Lara, J. M., “Change in the Modified Einstein Procedure to Compute A,” U.S. Bureau of Reclamation, Washington, D.C., June, 1966.
5.
Rubey, W. W., “Settling Velocities of Gravel, Sand, and Silt Particles,” American Journal of Science, 5th Series, Vol. 25, No. 148, 1933, pp. 332.
6.
Schultz, E. F., Wilde, R. H., and Albertson, M. L., “Influence of Shapes on the Fall Velocity of Sedimentary Particles,” M.R.D. Sediment Series No. 5, Colorado A & M College, Ft. Collins, Colo., July, 1954.
7.
“Some Fundamentals of Particle Size Analysis,” Report No. 12, Inter‐Agency Committee on Water Resources, Univ. of Minnesota, Minneapolis, Minn., Dec., 1957.

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Go to Journal of Hydraulic Engineering
Journal of Hydraulic Engineering
Volume 109Issue 4April 1983
Pages: 565 - 578

History

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

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Authors

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Hsieh W. Shen
Prof. of Civ. Engrg., Colorado State Univ., Fort Collins, Colo.
Cary S. Hung, Members, ASCE
Consulting Engr., Newton, Mass.

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