基于统计理论的推移质输沙率公式研究

从泥沙交换的随机现象出发,运用泥沙运动统计理论的有关概念,取无量纲单步运动距离和单步运动时间为水流强度参数的函数,推导出了基于统计理论的推移质输沙率公式的基本结构,运用差分进化的变异法对该基本公式的三种不同形式进行了拟合求参和统计分析,优选出了更加合理的拟合公式,并与其他常用推移质输沙率公式进行了比较分析。结果表明,本文建立的推移质输沙率公式物理概念清楚、结构合理,精度高于其他公式。

Rate of Sediment Discharge Formula of Bed Load Based on Statistical Theory

Based on the statistical phenomenon of sediment exchange and concepts of sediment transport statistical theory, considering dimensionless single-step movement distance and dimensionless single-step movement time as the functions of the flow strength parameter, a new rate of sediment discharge fundamental formula of bed load is derived. And the parameters of three types of fundamental formula structure are analyzed by using differential evolution method. Then the more reasonable fitting formula is obtained. Compared with other formulae, the results show that the proposed formula has clear physical concepts, reasonable structure and higher accuracy.