引用本文:姜树海.基于随机微分方程的河道行洪风险分析[J].水利水运工程学报,1995,(2):
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基于随机微分方程的河道行洪风险分析
姜树海
作者单位
姜树海  
摘要:
将各种不确定性因素(包括随机初值条件、随机系数和随机作用项等)引入河道水面线的推求过程,建立了计算河道水面线的随机微分方程。运用Fokker-Planck方程,求解河道水面线过程的概率密度。在此基础上,进行了河道行洪的风险分析,为堤防的安全、合理设计提供了条件。
关键词:  风险分析,随机微分方程,河道水面线,概率密度
DOI:
分类号:TV871
基金项目:
Risk analysis of flood flow in river by using stochastic differential equation
Jiang Shuhai
Nanjing Hydraulic Research Institute
Abstract:
After introducing various uncertain factors including a stochastic initial condition,a stochastic coefficient and a stochastic input term into calculating program of flow profiles in river, a stochastic differential equation is established. By using the Fokker - Planck equation, the probability density distributions of flow profiles in river are solved. Then,the risk analysis of flood flow in river is presented, and a safe and reasonable design method for flood protection embankment is suggested.
Key words:  risk analysis, stochastic differential equation, flow profiles in river,probability density,
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