斜坡上的推移质输沙率公式

为了获得理论更全面、应用范围更广的推移质输沙率公式，基于数理统计方法及力学分析方法，借鉴Engelund推移质输沙率模型，研究了斜坡上推移质输沙率问题。在分析斜坡上泥沙颗粒受力的基础上，考虑了水流近底作用流速的随机性及床面上泥沙颗粒分布的随机性，推导出了斜坡上泥沙起动概率；探讨改进了单位床面上泥沙颗粒数和推移质运动速度的计算式，得到了文中推移质输沙率公式。采用不同坡度的实测资料进行验证，并与其他经典公式计较，结果表明，在不同坡度的情况下文中公式都有较好的适用性，且精度较高。

Formula of bedload sediment transport rate on bed slopes

In this work, we study the rate of sediment transport on bed slopes based on the formula of Engelund to derive a theoretical formula of the transport rate with a wide application range. A formula of the probability of sediment incipient motion on bed slopes is also derived through analysis of the forces on a sediment particle on a bed slope and considering the stochastic flow velocity and stochastic position of the sediment particles on the bed. Then, we improve the formulas for calculating the number of sediment particles on a unit area of bed and the velocity of bedload sediment, and obtain a formula of the transport rate of bedload sediment on bed slopes. Results show that our formula feature a high accuracy of calculation and a good applicability to different bed slopes, which is verified by using the measured data of different bed slopes and comparing with the classical formulas.