基于波浪理论的水库地质灾害涌浪数值分析方法

有别于国内现行广泛应用Navie-Stokes方程进行地质灾害涌浪的数值模拟技术,本文采用波浪理论对地质灾害涌浪波进行了分析。地质灾害涌浪波是非周期性波,并且有强烈的非线性,介于中等水波至浅水波之间;可用浅水波模型和Boussinesq模型进行数学描述。本文采用有限差分法的Boussinesq模型,以三峡库区龚家方崩滑体涌浪为例,模拟了涌浪波的传播和爬高问题。该模型能够计算形成涌浪瞬时河面、河面最大波高图、最大流速矢量图、最大爬坡和预警分布图。模拟计算结果与调查结果吻合非常好。这说明基于波浪理论的地质灾害涌浪分析方法精度较高,为涌浪的预测研究提供了一种新的研究方法。

Method of reservoir geohazard impulsive wave simulation based on wave theory

This paper analyses the impulse wave generated by geological hazards based on wave theory.It is different from the Navie-Stokes Equation model,which is usually used in our country.The impulsive wave of geological hazards is one type of non-periodic,serious non-linear wave,which belongs to shallow or intermediate waves.We can describe these waves mathematically with Shallow Water Wave model and the Boussinesq model.This paper uses the finite difference method for the Boussinesq model,taking the Gongjiafang rockfall impulsive wave in the Three Gorges Reservoir area for example.The long wave propagation and run-up with frequency dispersion and non-linear effect are simulated.The simulation results are very close to the investigation values.The results show that the simulation method based on wave theory for the impulsive wave of geological hazards is accurate,which can offer useful information on dangerous wave region and risk management.The method based is a new method for impulsive wave studies.