摘要
本文以河流CBOD-NBOD-DO水质方程为例,推导出计算河流水质的随机分析新模型。该模型将水质基本方程的各个参数扩展为随机变量,并分解出均值方程和随机脉动量方程,然后求状态变量的积分解和分布矩;其次,利用分布矩和Fokker-Planck方程产生概率密度函数。模型被应用于清安河的水质模拟,与Monte Carlo模型和实测资料吻合良好。
The CBOD-NBOD-DO equations for river water quality modelling are studied to develop stochastic analysis model for predicting the river water quality. First, the basic governing equations are expanded to include stochastic terms. Stochastic terms are separated from nonfluctuating terms, and the resulting set of equations is solved simultaneously. Solutions are used to calculate the moments of the output variables. Second, the moments are used in conjunction with the Fok-ker-Planck equation to produce an analytical solution for the probability density functions of the dependent variables. The model is used to calculate water quality for Qingao river. The calculated results are in good agreement with Monte Carlo model and field data.
出处
《水利学报》
EI
CSCD
北大核心
1996年第11期62-68,共7页
Journal of Hydraulic Engineering
关键词
随机分析
分布矩
概率密度函数
水质评价
河流
stochastic analysis, distribution moments, probability density functions, deviation, distribution functions, water quality model.
