武汉大学环境科学系
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[1]陈焕章,杨麒,何娟娟.河流水质模型的随机分析[J].武汉大学学报(自然科学版),1989(04):91-100.
Chen Huanzhang Yang Qi He juanjuan. A PROBABILISTIC ANALYSIS ON THE RIVER WATER QUALITY MODEL[J]. 1989,(4):91-100.
本文分析了河流水质参数的随机扰动,描述了河流水质特性的伊藤微分方程。该方程的解是一马尔可夫过程。文中借助福克尔—普朗克方程,确立了满足伊藤微分方程解过程矩的微分方程组,推导出相应的矩方程以及水质参数x,1,和x,2,的相关函数和互相性函数,借助维纳滤波理论,提出了最佳脉冲响应特性,以监测和预报河流系统水质,实现对河流污染的控制和管理。
In this paper, random fluctuation on river water quality parameters is analyzed and studied, and it is specially that the Ito random differential equation of water quality is represented. The solution to Ito equation is a Markov process. By means of the Fokker-Plank equation, a set of differential equations which satisfy the moments of the solution process of the Ito equation is determined, thus, to derive a set of corresponding moment equation and correlation or cross-correlation functions of x,1,&, x ,2, According to Wiener filter theory, the optimal pulse respone characteristic is developed to monitot and predict the river system’s quality, thereby bring about controlling and administering on river pollution.
河流污染维纳滤波伊藤随机微分方程
river pollutionwiener filterito random differential equation
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