运用随机分形动力学方法 ,导出了悬移颗粒运动特征值的理论分布 ,它们是稳定分布 ,包括正态分布和列维分布 .后者具有分形性质 ,其动力学基础是分数阶发展方程 ,物理机制在于湍流猝发和湍流相干结构的分形特征 .以Sumer和Deigaard等人的实验资料为例 ,给出了应用示例 .结果表明 :悬移颗粒运动轨迹的特征值大多数服从具有分形性质的列维分布 The stochastic fractal dynamics method is used to derive the theoretical distribution of the motion characteristic values ​​of the suspended particles, which are stable distribution, including the normal distribution and the column dimension distribution.The latter has the fractal property, the kinetic basis is the fractional evolution equation, the physical The mechanism lies in the fractal characteristics of the turbulent bursts and the turbulent coherent structures. An example is given based on the experimental data of Sumer and Deigaard et al. The results show that most of the eigenvalues ​​of motion trajectories of suspended particles obey the Levi distributed