Int. J. Hydrology Science and Technology, Vol. 8, No. 4, 2018 393
Copyright © 2018 Inderscience Enterprises Ltd.
A simplification of the Einstein equation for the
calculation of suspended sediment transport in rivers
Hydar Lafta Ali*
Department of Civil Engineering,
Faculty of Engineering,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor, Malaysia
and
Centre for the Restoration of the Iraq
Marshlands and Wetlands (CRIMW),
Ministry of Water Resources,
Baghdad, Iraq
Email: hydar_e@yahoo.com
*Corresponding author
Thamer Ahamed Mohammed
Department of Water Resources Engineering,
College of Engineering,
University of Baghdad, Iraq
Email: tthamer@gmail.com
Badronnisa Binti Yusuf and Azlan Abdul Aziz
Department of Civil Engineering,
Faculty of Engineering,
Universiti Putra Malaysia,
43400 UPM, Serdang, Selangor, Malaysia
Email: nisa@upm.edu.my
Email: azlaneac@gmail.com
Abstract: In this study, a simplified equation for estimating suspended
sediment load is proposed, based on regression analysis and the concept
presented by Einstein, Ackers and White, and Shields. Field data for 11 rivers
located at different parts of the world were used for the calibration and
validation of the proposed equation. The results show that the equation gives a
good performance compared with Einstein’s and Bagnold’s equations when
tested using field data for the Atchafalaya, Red, South American, Rio Grande
and Al-Garraf rivers. The minimum and maximum values of mean absolute
error (MAE) and root mean square error (RMSE) between the output of the
proposed equation and field records were 0.005 to 0.007 and 0.09 to 0.289,
respectively. For the above rivers, graphical comparisons show that the
predicted values of suspended sediment load had a range of D
50
< 0.14 and
0.14 < D
50
< 0.2 and were scattered near the line of perfect agreement, while