摘要
本文以一维稳态BOD-DO水质方程为例,提出一个计算河流水质的随机微分方程模型。该模型可将水质方程中的任何水质参数、水力参数、初始条件等视为随机变量,采用Liouville方程计算相应的随机微分方程解过程的联合概率密度函数。提出一个简单的、计算解过程统计矩的公式。该模型可反映各种水质参数、水力参数、初始输入值的不确定性对于水质方程计算的影响,并可方便地扩展应用于BOD—NOD—DO等类似的一维稳态水质模型中。
The BOD-DO equations for one-dimensional steady state river water quality modeling are studied to develop a random differential equation model for predicting the river water quality. The proposed random model can treat any water quality coefficients, hydraulic parameters and initial conditions in the water quality equations as random variables, and the probability density functions of corresponding random differential equation are obtained by numerically solving Liouville equation. A simple formula for calculating the statistical moments of the solution process is also proposed. The random differential equation model proposed in the paper has the capability of including uncertainties in any reaction rate coefficients, flow variables and initial conditions and their effects on water quality prediction, and can be easily applied to a BOD-NOD-DO system or other similar one-dimensional steady state water quality models.
出处
《水利学报》
EI
CSCD
北大核心
1991年第2期19-25,共7页
Journal of Hydraulic Engineering
基金
国家青年科学基金
