SIMPLE LAGRANGIAN MODEL OF RADIOACTIVE PARTICLES DISPERSION IN THE ATMOSPHERE
Keywords:
transport and diffusion of particles, turbulent flow, pollutant concentration, ecological conditions, air, model, algorithm, softwareAbstract
The study of atmospheric pollutant transport and diffusion processes remains a vital scientific issue and a field of interest for many researchers. Mathematical modeling is often the most effective means for uncovering and understanding the patterns of complex dynamic mass transfer processes in the atmosphere. Among the widely used transport models are those based on the Lagrangian approach to describing particle motion in tur bulent flows. This paper discusses the development of a simple Lagrangian model and a solution algorithm for the problem of particle dispersion emitted from a stationary point source, taking into account the effects of gravitational settling, radioactive decay, and terrain features. The representation of the three-dimensional wind field is achieved by generating variable wind speed components and deviation angles. Additionally, the par ticles are subjected to turbulent diffusion, implemented as a random walk process. The model processes a straightforward landscape and simulates the interaction of particles with the underlying surface. The ability to assess the spatial distribution of the concen tration of suspended and deposited particles over a given time range allows for the study of various scenarios of harmful emissions’ impact on the environment in both urban and rural settings.
References
Plachkova S.G. Osnovnyye zagryazniteli okruzhayushchey sredy // Energetika. Istoriya, na stoyashcheye i budushcheye. Kniga 5. Elektroenergetika i okhrana okruzhayushchey sredy. Funk tsionirovaniye energetiki v sovremennom mire.– 2-ye izd., pererab.– 2013.– Rezhim dostupa: https://bit.ly/31OZzjh (data obrashcheniya: 26.01.2024).
Trukhin V.I., Pokazeyev K.V., Kunitsyn V.Ye. Obshchaya i ekologicheskaya geofizika. M.: Fizmatlit, 2005.– 576 s.
Kachestvo atmosfernogo vozdukha i zdorov'ye / Vsemirnaya organizatsiya zdravookhraneniya.– 2018.– Rezhim dostupa: https://bit.ly/2Z65jTQ.
7 millionov smertey yezhegodno svyazany s zagryazneniyem vozdukha / Vsemirnaya organizatsiya zdravookhraneniya.– 2014.– Rezhim dostupa: https://bit.ly/31WqDxe (data obrashcheniya: 26.01.2024).
Reed S. Study Links 6.5 Million Deaths Each Year to Air Pollution // The New York Times.– 2016.– Режим доступа: https://nyti.ms/31UQLIt (data obrashcheniya: 26.01.2024).
Sokolov E.M., Panarin V.M., Zuykova A.A. Sovremennyye problemy nauki v oblasti zashchity okruzhayushchey sredy.– Tula: Izd-vo TulGU, 2010.– 400 s.
Ravshanov N., Sharipov D.K., Akhmedov D.D. Komp'yuternaya model' protsessa rasprostraneniya vrednykh veshchestv v pogranichnom sloye atmosfery // Ekologicheskiye chteniya– 2015 : materialy mezhdunar. nauch.-prakt. konf.– Omsk, 2015.– S. 89-100.
Aloyan A.Ye. Dinamika i kinetika gazovykh primesey i aerozoley v atmosfere.– M.: IVM RAN, 2002.– 201 s.
Ravshanov N., Sharipov D.K., Akhmedov D. Modelirovaniye protsessa zagryazneniya okruzhayushchey sredy s uchetom rel'yefa mestnosti i pogodno-klimaticheskikh faktorov // Informatsionnyye tekhnologii modelirovaniya i upravleniya.– 2015.– №3(93).– S. 222 234.
Sharipov D.K., Akhmedov D.D. Modelirovaniye protsessa perenosa vrednykh veshchestv v atmosferu s uchotom erozii pochvy // Problemy informatiki i energetiki.– 2015. №5.– S. 23-32.
Ravshanov N., Muradov F., Akhmedov D. Chislennoye modelirovaniye protsessa perenosa i diffuzii vrednykh veshchestv v atmosfere v sfericheskoy sisteme koordinat // Problemy optimizatsii slozhnykh sistem : materialy XIV mezhdunarodnoy aziatskoy shkoly-seminara, 20-31 iyulya 2018 g., Kyrgyzstan : v 2-kh ch. CH. 2.– Almata, 2018.– S. 142-151.
Khashirova T.YU., Akbasheva G.A., Shakova O.A., Akbasheva Ye.A. Modelirovaniye zagryaznennosti atmosfernogo vozdukha // Fundamental'nyye issledovaniya.– 2017.– №8. S. 325-330.
Collett R., Oduyemi K. Air quality modelling: a technical review of mathematical approaches // Meteorological Applications.– 1997.– Vol. 4.– P. 235-246.
Markiewicz M. A Review of Mathematical Models for the Atmospheric Dispersion of Heavy Gases. Part I. A Classification of Models // Ecological Chemistry and Engineering.– 2012. Vol. 19.– P. 297-314.
Leelossy A., Molnar F., Izsak F., Havasi A., Lagzi I., Meszaros R. Dispersion modeling of air pollutants in the atmosphere: a review // Central European Journal of Geosciences. 2014.– Vol. 6.– P. 257-278.
El-Harbawi M. Air quality modelling, simulation, and computational methods: a review // Environmental Reviews.– 2013.– Vol. 21.– P. 149-179.
Srivastava S., Sinha I. Classification of air pollution dispersion models: a critical review // Proc. of the National Seminar on Environmental Engineering with special emphasis on Mining Environment. — Dhanbad, 2004.– P. 1-11.– URL: https://bit.ly/3jxUNNq (дата обращения: 26.01.2024).
Aggarwal A., Haritash A.K., Kansal G. Air pollution modelling– a review // International Journal of Advanced Technology in Engineering and Science.– 2014.– Vol. 2, Issue 6. P. 355-364.
Modi M., Ramachandra V., Ahmed L., Hussain Z. A review on theoretical air pollutants dispersion models // International journal of pharmaceutical, chemical and biological sciences.– 2013.– Vol. 3, Issue 4.– P. 1224-1230.
Weber E. Air Pollution: Assessment Methodology and Modeling.– New York: Springer Verlag, 2013.– 330 p.
Hanna S.R., Briggs G.A., Hosker R.P. Handbook on atmospheric diffusion.– Springfield: US Dept. of Energy, 1982.– 102 p.
Arguchintseva A.V., Arguchintsev V.K., Vologzhina S.ZH. Tendentsii i uroven' resheniya problemy otsenki zagryazneniya atmosfery // Izvestiya Irkutskogo gosudarstvennogo universiteta. Seriya: Nauki o Zemle.– 2009.– T. 2, №2.– S. 20-36.
Grigor'yeva I.G., Tunakova YU.A., Shagidullina R.A. Oblasti primeneniya modeley dlya rascheta raspredeleniya primesey v prizemnom sloye atmosfernogo vozdukha // Vestnik Kazanskogo tekhnologicheskogo universiteta.– 2014.– №20.– S. 163-166.
Meteorologiya i atomnaya energiya : per. s angl. / pod red. N.L. Byzovoy, K.P. Makhon' ko.– L.: Gidrometeoizdat, 1971.– 647 s.
Namestnikova O.V., Topol'skiy N.G. Obzor modeley zagryazneniya atmosfernogo voz dukha v sisteme upravleniya kachestvom sredy obitaniya // Pozhary i chrezvychaynyye situatsii: predotvrashcheniye, likvidatsiya.– 2015.– №2.– S. 64-70.
Harper K. Weather by the Numbers: The Genesis of Modern Meteorology.– Cambridge, MA: MIT Press, 2008.– 308 p.
Markiewicz M. Modelling of the air pollution dispersion // Models and Techniques for Health and Environmental Hazards Assessment and Management. Part 2 Air quality modelling / ed. M. Borysiewicz.– Otwock-Swierk: IAE, 2006.– P. 303-347.
Anfossi D., Physick W. Lagrangian particle models // Air Quality Modeling Theories, Methodologies, Computational Techniques, and Available Databases and Software. Vol. 2 Advanced Topics / ed. P. Zannetti.– Pittsburgh: Air & Waste Management Association, 2005.– P. 93-161.
Kharchenko Ye.V. Ispol'zovaniye matematicheskikh modeley perenosa i rasseyaniya radionuklidov v atmosfere dlya upravleniya riskami na stadii proyektirovaniya atomnykh elektrostantsiy : dis. ... kand. nauk : 25.00.30 : zashchishchena 24.03.2016.– Sankt-Peterburg, 2016.– 117 s.
