泥沙运动统计理论前沿研究成果

本文是作者数十年来以力学和概率论相结合的途径,广泛、深入研究泥沙运动统计理论的主要成果。其中包括泥沙运动的概化模式;单颗泥沙运动力学及统计规律;床面泥沙4种状态之间的转移概率及交换强度;不同状态之间的多种输沙率(而不是现有的两种)研究;泥沙起动规律及起动流速;从理论上导出的床面泥沙的边界条件;一维不平衡输沙规律及相应的数学模型;推移质与床沙和悬沙同时交换的不平衡输沙;床沙冲刷粗化与交换粗化规律;推移质点源、线源及退化面源扩散。另外,文中还给出了由泥沙运动统计理论带动的泥沙研究领域其他成果,如挟沙能力级配及有效床沙级配、粗细泥沙交换、挟沙能力多值性以及黄河高含沙量时的"揭底冲刷"。

The frontier research achievements on stochastic theory of sediment transport

Sediment motion has been widely and deeply studied for decades by combing the mechanics and probability theory. The latest research achievements have been introduced in this paper, which include patterns of sediment motions, mechanical analysis and statistical laws of individual sediment particle movement, transition probability and exchange intensities between four different states in bed layer, more formulas for sediment transport than the existing two, sediment incipient motion characteristics and incipient velocity study, the theoretical boundary condition at bed surface, one dimensional non-equilibrium sediment transport and the corresponding mathematical model, non-equilibrium sediment transport when the bed load exchanges with both the bed load and the suspended load, riverbed coarsening by scouring or exchanging between sediment in different moving states, and point-source, line-source, and degraded area-source dispersion for bedload. In addition, new achievements in other fields of sediment transport derived by stochastic theory were also given,such as the size distribution of carrying-sediment capacity and effective bed material, exchange between coarse and fine sediment, multi-value of the carrying-sediment capacity, and bottom tearing scouring under high sediment-laden condition in the Yellow River.