A mathematical-physical analysis of the sensitivity of the equilibrium condition of alluvial rivers to sediment transport functions
A mathematical-physical analysis of the sensitivity of the equilibrium condition of alluvial rivers to sediment transport functions
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发表时间：
2007
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通讯作者：
H. Heqing
中科院分区：
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作者：
H. Heqing
The equilibrium condition of alluvial rivers is determined by flow continuity,resistance and sediment transport relations.Because there are numerous sediment transport functions available,it is necessary to investigate the adjusting degree of the equilibrium condition under different sediment transport conditions for the benefit of our understanding of fluvial process and of the design of proper river taming measures.By deploying the mathematical-physical analytical method developed in recent years by the author and collaborators,this study presents a detailed quantitative analysis of the sensitivity of the equilibrium condition of alluvial rivers to the three forms of the commonly used Meyer-Peter and Muller function and the DuBoys sediment transport formula.It is demonstrated that the equilibrium condition of alluvial rivers is inherent in the three relationships of flow continuity, resistance and sediment transport and so there is no need to particularly introduce an additional flow relationship in order to obtain a closure solution of river regime.The equilibrium condition is very sensitive to sediment transport functions.For the selected sediment transport functions on the same given flow conditions,the range of the variation of optimal width/depth ratio can be narrowed dramatically and the values of the optimal width/depth ratio differ even by more than 10 times.Finally,this study suggests that further studies need to be concentrated on the quantification of the relationship between sediment transport and flow resistance in order to develop a universally applied sediment transport function.
