考虑动态汇流路径的时变分布式单位线
A time-varying distributed unit hydrograph method considering dynamic flow routing path
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摘要: 针对现有分布式单位线汇流理论未考虑土壤含水量变化引起的时变汇流路径问题, 提出动态汇流路径新概念, 推求同时考虑降雨强度和土壤含水量时空分布的坡面流速计算公式, 引入地形指数刻画流域蓄水能力空间分布, 从而获得栅格尺度流域流速分布场, 进一步建立不同蓄满状态下流域动态汇流路径集合, 最终实现考虑动态汇流路径的时变分布式单位线推求。以龙虎圩和东石流域为实例, 通过SCS模型计算产流量, 采用本文所提方法进行汇流计算, 引入涵盖低流量误差、高流量误差及洪量误差的多目标优化方法率定参数, 2个典型流域28场洪水预报结果表明, 洪峰流量相对误差在±15%内, 峰现时间误差在±6 h之间, 纳什效率系数平均值超过0.8, 与现有方法相比, 所提方法能更加准确地反映汇流时间分布场, 提高了洪水预报精度。Abstract: The current distributed unit hydrograph theory does not consider the time-varying routing paths due to variations in soil moisture content. To this end, a novel concept of dynamic routing path is proposed. First, a slope velocity formula considering both rainfall intensity as well as temporal and spatial distribution characteristics of soil moisture content is derived. Furthermore, the topographic index is introduced to describe the spatial distribution of watershed water storage capacity, and the flow velocity distribution field of the raster scale is evaluated. A collection of dynamic routing paths under various soil moisture contents are established. On this basis, the time-varying distributed unit hydrograph based on the dynamic flow routing paths is deduced. The Longhuwei and Dongshi River basins are selected as two case studies. The SCS model is employed for the runoff generation calculation, and the proposed method is then adopted for the flow routing calculation. The multi-objective method covering low flow error, high flow error, and flood error are introduced to optimize the calibrated parameters. The simulation results of 28 floods reveal that the relative error of the flood peak is within ±15%, the error of peak appearance time is within ±6 h, and the average value of the Nash efficiency coefficient exceeds 0.8. Compared with the current approach, the proposed method can provide a more accurate flow routing time distribution field, and the accuracy of flood prediction is chiefly enhanced.