Mathematical Model for Sediment Wash-Off from Urban Impervious Surfaces
Publication: Journal of Environmental Engineering
Volume 142, Issue 4
Abstract
Mathematical models are significant tools for urban runoff management. A rational account of sediment-limited and energy-limited situations in developing a mathematical model may facilitate the improved simulation of total suspended solid (TSS) wash-off in urban impervious surfaces. In this study, a differential equation called the P/r model is proposed to improve the simulation of the sediment discharge process. In this equation, rainfall intensity and the ratio of sediment mass per unit catchment area to rainfall intensity are considered the main variables. The rationality behind the P/r model is analyzed. TSS wash-off from six rainfall events is investigated using the P/r model. Uncertainty analyses are performed to determine the best-fit parameters for the model, with the maximum Nash–Sutcliffe efficiency (NSE) criterion being 0.53 and the minimum normalized objective function being 0.40. The observation percentage within prediction bands is 75%, and the average relative interval length is 1.07 when the NSE is 0.50. Results show that the proposed mathematical model can fit well with the TSS data observed in the case study.
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Acknowledgments
The authors gratefully acknowledge the financial support of the Shaanxi Province Science and Technology Development Program (No. 2014K15-03-02) and the National Natural Science Foundation of China (Grant No. 51308050).
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Information & Authors
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Published In
Journal of Environmental Engineering
Volume 142 • Issue 4 • April 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: Dec 14, 2014
Accepted: Sep 30, 2015
Published online: Dec 22, 2015
Published in print: Apr 1, 2016
Discussion open until: May 22, 2016
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