基于最佳摄动量法反演浅水海湾水质模型的综合扩散系数  

Inversion of Dispersion Coefficient in Water Quality Model Using Optimal Perturbation Algorithm

作　　者：聂红涛[1] 陶建华[1] 

机构地区：[1]天津大学力学系,天津300072

出　　处：《应用数学和力学》2009年第6期655-662,共8页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(10872144);全球环境基金资助项目(TF053183)

摘　　要：作为浅水海湾水质模型基本参数的综合扩散系数,常通过试算来率定,耗时、经验性强.该文应用渤海湾化学需氧量(COD)的部分监测资料,对污染物的综合扩散系数进行了反演.由于问题的非线性,结合正则化方法对求解过程的不适定性进行处理,应用算子识别摄动法进行求解.利用反演得到的综合扩散系数对渤海湾化学需氧量(COD)、无机氮(IN)、无机磷(IP)的分布进一步模拟,并与监测数据进行对比,结果表明反演的综合扩散系数是合理的.该方法还可用于反演水质模型中的其他参数.As one of the primary parameters in the water quality model for shallow bay,the dispersion coefficient is tmditionaUy determined by trial and error method with time consuming and more experience. Based on the measured data of chemical oxygen demand （COD）, the dispersion coefficient was calculated using inversion method. In this process, the regulatization method was applied to treat the ill-posedness,and the operator identification perturbation method was used to obtain the solution. By running the model with the inverted dispersion coefficient, the distribution of COD, inorganic nitrogen （IN） and inorganic phosphorus （IP） in Bohai bay were predicted respectively and compared with the measured data. The results indicate that this method is feasible and the inverted dispersion coefficient can be used to predict other pollutant distribution. Moreover, this method may also be further extended to the inversion of other parameters in water quality model.

关 键 词：水质模型 综合扩散系数 反演 正则化 渤海湾 

分 类 号：O241.5[理学—计算数学]