Computation of Suspended Sediment Discharge in Open Channels by Combining Tsallis Entropy–Based Methods and Empirical Formulas
Publication: Journal of Hydrologic Engineering
Volume 19, Issue 1
Abstract
Sediment discharge is computed by using different combinations of entropy-based and empirical methods of channel cross-section velocity and suspended sediment concentration distribution, and the results of these different methods are compared. The comparison shows that the entropy-based methods are more accurate than the empirical method and that the Tsallis entropy–based method is more accurate than the one based on Shannon entropy. The accuracy of the computation for all methods can generally be improved by introducing a correction factor; however, the fully entropy-based methods still remain the most accurate.
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References
Chien, N., and Wan, Z. (2003). Mechanics of sediment transport, Science, Beijing.
Chiu, C. L. (1987). “Entropy and probability concepts in hydraulics.” J. Hydraul. Eng., 583–600.
Chiu, C. L. (1988). “Entropy and 2-D velocity distribution in open channels.” J. Hydraul. Eng., 738–756.
Chiu, C. L. (1989). “Velocity distribution in open channel flow.” J. Hydraul. Eng., 576–594.
Chiu, C. L., Jin, W., and Chen, Y. C. (2000). “Mathematical models of distribution of sediment concentration.” J. Hydraul. Eng., 18328–18335.
Choo, T. H. (2000). “An efficient method of the suspended sediment-discharge measurement using entropy concept.” Water Eng. Res., 1(2), 95–105.
Coleman, N. L. (1981). “Velocity profiles with suspended sediment.” J. Hydraul. Res., 19(3), 211–229.
Cui, H. (2011). “Estimation of velocity distribution and suspended sediment discharge in open channels using entropy.” M.S. thesis, Texas A&M Univ., College Station, TX.
Cui, H., and Singh, V. P. (2012). “On the cumulative distribution function for entropy-based hydrologic modeling.” Trans. ASABE, 55(2), 429–438.
Cui, H., and Singh, V. P. (2013). “Two dimensional velocity distribution in open channels using Tsallis entropy.” J. Hydrol. Eng., 18(3), 331–339.
Einstein, H. A. (1950). “The bed load function for sediment transportation in open channels.”, Soil Conservation Service, USDA, Washington, DC.
Einstein, H. A., and Chien, N. (1955). “Effects of heavy sediment concentration near the bed on velocity and sediment distribution.”, Univ. of California at Berkeley and Missouri River Div., U.S. Army Corps of Engineers, Omaha, NE.
Luo, H., and Singh, V. P. (2011). “Entropy theory for two-dimensional velocity distribution.” J. Hydrol. Eng., 303–317.
Rouse, H. (1937). “Modern conceptions of the mechanics of turbulence.” Trans. ASCE, 102(1), 463–543.
Shannon, C. E. (1948). “A mathematical theory of communication.” AT&T Tech. J., 27(3), 379–423.
Tsallis, C. (1988). “Possible generalization of Boltzmann-Gibbs statistics.” J. Stat. Phys., 52(1–2), 479–487.
von Karman, T. (1935). “Some aspects of the turbulence problem.” Mech. Eng., 57, 407–412.
Information & Authors
Information
Published In
Journal of Hydrologic Engineering
Volume 19 • Issue 1 • January 2014
Pages: 18 - 25
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Nov 10, 2011
Accepted: Jan 5, 2013
Published online: Jan 8, 2013
Discussion open until: Jun 8, 2013
Published in print: Jan 1, 2014
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