扩散波水位解析解模型的应用研究

Application Research of Water Level Analytic Solution Modelfor Diffusion－wave

扩散波方程被广泛地应用于河道洪水演算之中。考虑下边界的回水作用以及旁侧入流的影响，建立了扩散波水位解析解模型。由该模型可知，河道任一断面处的水位变化分别由上边界水位变化所造成的影响量、下边界回水控制的影响量以及由于旁侧流量加入的影响量三项叠加而成，这三项分别由它们所对应的响应函数来描述。将该模型应用于沂河水位演算之中，得到了较高的计算精度。

 The diffusion－wave equation is widely used in river flood routing． A water level analytic solution model for diffusive wave equation which can take into account the backwater effect and lateral inflow has been developed in this paper． The water level variations above the initial depth at any cross－section are made up of the effcets of water level variations at upstream end backwater control at downstream end and lateral inflow and the three components are represented by the corresponding response functions． The model has been applied to the water level routing in the Yihe River and good results are both obtained in model calibration and verification．