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Mathematical Models of Inverse Problems for Finding the Main Characteristics of Air Pollution Sources
Water, Air, & Soil Pollution ( IF 3.8 ) Pub Date : 2020-11-24 , DOI: 10.1007/s11270-020-04933-z
Artur O. Zaporozhets , Vladyslav V. Khaidurov

The paper describes optimization of mathematical models for determining the main characteristics of the source of environmental pollution. A modification of the classical Newton’s method for finding a numerical solution of the constructed mathematical models for identifying the parameters of an environmental pollutant has been developed. A modification of the classical Newton’s method is obtained, which makes it possible to reduce the total number of calculations in the process of determining the main characteristics of the pollution source. A number of software-implemented computational experiments have been carried out for the model for determining the height of the pipe of the pollution source and the concentration of emissions on it, the model for determining the full location of the pipe of the pollution source and the concentration of emissions from the source. The possibility of complete localization of the pollution source in less than 40 measurement iterations using 1 post of the air pollution monitoring system has been established. The proposed method makes it possible to reduce by 3 times the number of simulation iterations for detecting a source of pollution in comparison with classical methods for solving inverse problems during monitoring of air pollution.



中文翻译:

寻找空气污染源主要特征的反问题数学模型

本文介绍了用于确定环境污染源主要特征的数学模型的优化。已经开发了对经典牛顿方法的修改,该方法用于找到所构造的数学模型的数值解以识别环境污染物的参数。对经典的牛顿法进行了修改,从而有可能减少确定污染源主要特征过程中的计算总数。该模型已进行了许多软件实现的计算实验,用于确定污染源管道的高度和排放源的浓度,用于确定污染源管道的全部位置以及污染源排放物浓度的模型。已经建立了使用1个空气污染监测系统在少于40次测量迭代中完全定位污染源的可能性。与解决空气污染监测中逆问题的经典方法相比,该方法可以将用于检测污染源的模拟迭代次数减少3倍。

更新日期:2020-11-25
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