沙波运动基本控制方程及其解

Basic control equations and their solutions of sand wave movement

众所周知,河流变迁往往是通过沙波运动而得以实现的,这一过程总是伴随着水流与河床间的力学交互作用,探究其间的力学机制一直受众多研究者们所关注。本文基于泥沙起动的临界水流条件,从分析两种不同时刻间的微动量变化及微能量变化入手,建立了沙波运动基本控制方程及其求解方法。分析表明,计算结果与实测资料较为吻合,证明从微量分析法入手所建立的沙波运动控制方程不仅具有较好的理论意义,也具有一定的实用价值。

As well known, the changes of channel bed of alluvial rivers are mainly achieved from the move- ment of sand waves, which is accompanied with the mechanic interaction between water flow and channel bed, and is paid attention by many studies. In this paper, based on the critical flow condition of the initiation of sediment movement, basic control equations for sand wave movement were derived from the analysis of the mi- cro changes momentum and power. Moreover, the equations were solved. The calculation results of the derived equations agreed well with the observed data.