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Mathematical Model for Prediction of the Main Characteristics of Emissions of Chemically Hazardous Substances into the Atmosphere

  • Ekaterina KushelevaEmail author
  • Alexander Rezchikov
  • Vadim Kushnikov
  • Vladimir Ivaschenko
  • Elena Kushnikova
  • Andrey Samartsev
Conference paper
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 199)

Abstract

Based on the formal apparatus of system dynamics, there was developed a mathematical model to predict the main characteristics of emissions of chemically hazardous substances into the atmosphere. When building the model on the basis of GOST R 22.1.10, the main characteristics of emissions at chemically hazardous facilities were selected. There were selected external factors which should be taken into account while building. A graph of cause-effect relationships existing between the simulated characteristics is constructed. The proposed model is described by a system of nonlinear differential equations of the first order. A model example of emission of a chemically dangerous substance into the atmosphere is presented. The calculation of the simulated characteristics is made, the corresponding graphs are presented. The numerical solution of the system of equations is obtained due to the Runge-Kutta method. The comparison of the results calculated by the model with the actual data of emergency confirms the adequacy of the proposed model. The results got by the model can be used in the development of information systems for predicting the effects of emissions of chemically hazardous substances for operational dispatching staff of the MES.

Keywords

Mathematical model System dynamics Emissions of chemically hazardous substances 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institute of Precision Mechanics and ControlRussian Academy of SciencesSaratovRussia
  2. 2.Yuri Gagarin State Technical UniversitySaratovRussia
  3. 3.Saratov State UniversitySaratovRussia

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