Моделювання забруднення довкілля в разі емісії аміаку з пошкодженого трубопроводу

L. V Amelina; M. M Biliaiev; O. V Berlov; O. O Verhun; T. I Rusakova

doi:10.15802/stp2021/229167

Authors

L. V. Amelina Dnipro National University of Railway Transport named after Academician V. Lazaryan, Ukraine https://orcid.org/0000-0002-8525-7096
M. M. Biliaiev Dnipro National University of Railway Transport named after Academician V. Lazaryan, Ukraine https://orcid.org/0000-0002-1531-7882
O. V. Berlov Prydniprovska State Academy of Civil Engineering and Architecture, Ukraine https://orcid.org/0000-0002-7442-0548
O. O. Verhun Prydniprovska State Academy of Civil Engineering and Architecture, Ukraine https://orcid.org/0000-0003-4842-1069
T. I. Rusakova Oles Honchar Dnipro National University, Ukraine https://orcid.org/0000-0001-5526-3578

DOI:

https://doi.org/10.15802/stp2021/229167

Keywords:

ammonia pipeline, chemical atmosphere pollution, emergency emission, mathematical modeling

Abstract

Purpose. This work provides for the development of a hydraulic model for calculating the unsteady ammonia outflow from a damaged pipeline and the implementation of this model into a numerical model for predicting emergency air pollution. Methodology. To solve the problem, the calculated dependencies of the pressure flow hydraulics were used. An empirical model to calculate the evaporation of ammonia from a damaged pipeline was also used. To calculate the process of spreading ammonia in atmospheric air, a three-dimensional equation of convective-diffusion transfer of impurities was used. Mathematical modeling of the spread of ammonia from a damaged pipeline takes into account the change with height of the wind flow velocity, as well as the change with height of the vertical coefficient of atmospheric diffusion, the dynamics of changes over time in the intensity of ammonia leakage from the damaged pipeline. For the numerical solution of the three-dimensional differential equation for the transfer of ammonia in atmospheric air, its physical splitting is carried out: an equation that describes the transport of an impurity due to convection is singled out separately, an equation that describes the transport of an impurity due to atmospheric diffusion and separately an equation that describes a change in the ammonia concentration in air due to the action of the emission source. The McCormack method is used to numerically integrate the equation for the convective transfer of ammonia in air. The Richardson method is used to numerically integrate the equation of diffusion transfer of an impurity. The Euler method is used to numerically integrate the equation that describes the change in ammonia concentration under the influence of an emission source. Findings. Based on the developed model of unsteady ammonia outflow from the damaged pipeline and the created numerical model of ammonia propagation in the atmospheric air, a computational experiment was carried out to assess the level of atmospheric air and underlying surface pollution in the event of an emergency ammonia outflow in the section where the Tolyatti – Odessa ammonia pipeline crosses the Dnipro River. Data on non-stationary environmental pollution were obtained. Originality. A mathematical model that allows calculating the unsteady process of ammonia outflow from a damaged pipeline has been developed. A numerical model is proposed to determine the areas of contamination during an emergency ammonia outflow from the Tolyatti – Odessa ammonia pipeline. Practical value. Based on the developed model, a code has been created that makes it possible to promptly predict the environmental pollution dynamics during an emergency ammonia outflow. The proposed mathematical model can be used in the development of emergency response plan for chemically hazardous facilities.

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