近岸悬沙质量浓度垂向分布公式

Formula of vertical distribution of nearshore suspended sediment concentration

为解决现有悬沙质量浓度分布公式积分难的问题,基于流速幂函数及摩阻流速推导出一个近岸流速垂向分布公式,并结合悬沙扩散方程推导出平衡状态下可有效避免Rouse公式在水表面为零的不合理性的悬沙质量浓度分布公式。近岸水文及泥沙实测资料验证分析结果表明:该流速、悬沙质量浓度分布公式具有较高的准确性;根据流速、悬沙质量浓度分布公式推导的悬沙输沙率公式可由初等函数表示,并能有效解决爱因斯坦方法积分难的问题。

To overcome the difficulties in integration using existing formulas of vertical distribution of suspended sediment concentration, a velocity profile was obtained based on the power function of velocity and the friction velocity, and an equilibrium suspended sediment concentration profile was further deduced. These profiles agreed with field data, and the profile of suspended sediment concentration did not show the unreasonableness of the classical Rouse profile, such as a zero value at the water surface. Verification results of the nearshore hydrologic and sediment data show that the formulas of velocity and suspended sediment concentration had high accuracy. An elementary function for the transport rate of a suspended load was deduced from the formulas of velocity and suspended sediment concentration. It can effectively overcome the difficulty of integration with Einstein＇ s method.