为研究献县泛区的洪水演进情况,以一二维非恒定流方程为控制方程,运用有限体积法进行离散,结合献县泛区地形资料及滹沱河流域的水文资料,建立了一二维耦合的洪水演进数学模型。采用滹沱河现状行洪能力下的实测水位对模型进行验证,结果基本吻合。在10、20、50 a重现期洪水来水情况下进行模拟计算,得到了不同口门相应的启用时间以及河道主要断面的水位过程图;比较了在不同洪水情况下,河道主要位置的堤高与相应洪水高水位以及泛区水位达到最大值的时间。 结果表明:随着重现期的不断变大,河道主要位置的水位都有明显升高,而且在20 a以上重现期下姚庄下游的河道水位逐渐高于河堤,出现漫堤情况。研究成果可为下一步防洪决策提供依据。

With the one-dimensional and two-dimensional unsteady flow equations as the governing equations,a one-dimensional and two-dimensional coupled flood evolution mathematical model is established to study the flood routing in Xianxian County using finite volume method for discretization based on the topographic data of Xianxian County and the hydrological data of Hutuo River Basin. The model is verified by using the water level data of Hutuo River under the current flood capacity,and the results are basically consistent. In the case of flood inflow of 10-,20-,and 50-year return period,the simulation calculation was carried out,and the opening time of different entrance gates and the water level process of major sections of the river are obtained through simulation. The dike height at main positions of the river channel is compared with the flood height,and the time when the floodplain water level reaches the maximum are compared. Rresults reveal that the water level at major positions of the river has increased obviously with the increasing of return period. In particular,in the case of floods with the return period over 20 years,the water level of river channel in the downstream of Yaozhuang is gradually higher than the embankment height,leading to overflow of the embankment. The research findings offer basis for flood control decision in future.