DEVELOPMENT OF A MATHEMATICAL MODEL FOR ANALYSING THE HAZARDOUS IMPACT ON THE STATE OF GROUNDWATER IN CITY AGGLOMERATIONS FROM MISSILE AND ARTILLERY ATTACKS

Authors

  • N. Rashkevych National University of Civil Defence of Ukraine
  • R. Shevchenko National University of Civil Defence of Ukraine
  • T. Vovchuk National University of Civil Defence of Ukraine

DOI:

https://doi.org/10.33042/2522-1809-2024-1-182-229-240

Keywords:

mathematical model, groundwater, missile and artillery damage, critical infrastructure object, emergency prevention

Abstract

The authors have developed a mathematical model for analysing the hazardous impact on the groundwater in urban agglomerations from missile and artillery attacks. The mathematical model consists of a system of four analytical dependencies. The first analytical dependence describes determining the area of groundwater intake from the groundwater level, considering the presence of artificial coatings, infiltration, evaporation, and transpiration, as well as the effect of evapotranspiration. The second dependence determines the area of influence of the missile and artillery danger from the type of weapon, the explosive charge, calibre (diameter), and territorial conditions, the key indicators of the content of which in the territory of the critical infrastructure object, which suffered damage, are further determined by expert calculation using natural samples of soils and groundwater. The third dependence determines the impact of harmful (polluting) substances on groundwater in the territory of the critical infrastructure object, which suffered damage, depending on the process of groundwater movement in the area of the emergency, taking into account the hydraulic pressure and water yield coefficient; the process of distribution of chemically dangerous substances in groundwater, taking into account the coefficient of hydrodynamic dispersion and the velocity of groundwater; convective diffusion of chemically hazardous substances, taking into account the kinetics of sorption. The fourth dependency allows us to choose an efficient concept for the organisation of groundwater monitoring on the territory of a critical infrastructure object that suffered damage based on the variation of formalised parameters for solving individual problems. The initial conditions of the mathematical model are related to the presence of chemically dangerous compounds in groundwater at the maximum permissible concentration level. The boundary conditions of the mathematical model relate to the non-overgrowth of consequences beyond the object level in terms of the number of victims.

Author Biographies

N. Rashkevych, National University of Civil Defence of Ukraine

PhD, Senior Lecturer at the Department of Fire Prevention in Settlements

R. Shevchenko, National University of Civil Defence of Ukraine

Doctor of Technical Sciences, Full Professor, Head of the Department of Automatic Security Systems and Information Technologies

T. Vovchuk, National University of Civil Defence of Ukraine

PhD Student

References

Gao, Y., Qian, H., Zhou, Y., Chen, J., Wang, H., Ren, W., & Qu, W. (2022). Cumulative health risk assessment of multiple chemicals in groundwater based on deterministic and Monte Carlo models in a large semiarid basin. Journal of Cleaner Production, 352, 131567. https://doi.org/10.1016/j.jclepro.2022.131567

Lisboa, É. G., Mendes, R. L. R., Figueiredo, M. M. P., & Bello, L. A. L. (2020). Fuzzy-Probabilistic Model for a Risk Assessment of Groundwater Contamination: Application to an Urban Zone in the City of Belém, Pará, Brazil. Water, 12(5), 1437. https://doi.org/10.3390/w12051437

Qi, Z., Xiao, C., Zhang, B., Liang, X., & Wang, G. (2019). Risk Assessment of Groundwater Pollution in a Mining Area Based on Physical Processes. E3S Web of Conferences, 98, 09025. https://doi.org/10.1051/e3sconf/20199809025

Shah, S. H. I. A., Yan, J., Ullah, I., Aslam, B., Tariq, A., Zhang, L., & Mumtaz, F. (2021). Classification of Aquifer Vulnerability by Using the DRASTIC Index and Geo-Electrical Techniques. Water, 13(16), 2144. https://doi.org/10.3390/w13162144

Sundar, M. L., Ragunath, S., Hemalatha, J., Vivek, S., Mohanraj, M., Sampathkumar, V., Ansari, A. M. S., Parthiban, V., & Manoj, S. (2022). Simulation of ground water quality for noyyal river basin of Coimbatore city, Tamilnadu using MODFLOW. Chemosphere, 306, 135649. https://doi.org/10.1016/j.chemosphere.2022.135649

Mishra, S., Tripathi, S., Tiwary, D., Ohri, A., Agnihotri, A. K., & Vishwakarma, A. K. (2021). Application of Visual MODFLOW in Groundwater Flow Modeling at the Left Crescent of the Ganga River, Varanasi, India. In P. K. Gupta, & R. N. Bharagava (Eds.), Fate and Transport of Subsurface Pollutants (pp. 105–124). Springer Nature Singapore. https://doi.org/10.1007/978-981-15-6564-9_6

Yu, H., Li, J., Liu, J., He, S., Qin, K., Xia, X., Xue, C., Zhao, Q., & Wei, L. (2022). HYDRUS-2D simulations of typical pollutant migration in a soil aquifer system in the Zibo-Weifang funnel area of China. Journal of Cleaner Production, 345, 131099. https://doi.org/10.1016/j.jclepro.2022.131099

Mosai, A. K., Tokwana, B. C., & Tutu, H. (2022). Computer simulation modelling of the simultaneous adsorption of Cd, Cu and Cr from aqueous solutions by agricultural clay soil: A PHREEQC geochemical modelling code coupled to parameter estimation (PEST) study. Ecological Modelling, 465, 109872. https://doi.org/10.1016/j.ecolmodel.2022.109872

Wimordi, C., Yudianto, D., & Guan, Y. (2021). Application of WASP model to simulate water pollution control of Duriangkang Dam. Lakes & Reservoirs: Science, Policy and Management for Sustainable Use, 26(1), 23–32. https://doi.org/10.1111/lre.12350

Rashkevych, N. (2023). Analysis of the current state of warning of emergency situations in the territories of Ukraine which were suffered by rocket and artillery impacts. Municipal Economy of Cities. Series: Engineering science and architecture, 4(178), 232–251. https://doi.org/10.33042/2522-1809-2023-4-178-232-251 [in Ukrainian]

Rashkevych, N., Myroshnyk, O., & Shevchenko, R. (2023). Analysis of the current state of warning of emergency situations related to the danger of groundwater. Emergency Situations: Prevention and Liquidation, 7(2), 193–216. http://fire-journal.ck.ua/index.php/fire/article/view/174/172 [in Ukrainian]

Diviziniuk, M. M., Yeremenko, S. A., Lievtierov, O. A., Pruskyi, A. V., Strilets, V. V., Strilets, V. M., & Shevchenko, R. I. (2022). Theoretical Foundations of the “Civil Defence” Paradigm: monograph. TOV “AZYMUT-PRINT” [in Ukrainian]

Derzhspozhyvstandart. (2010). National Classifier DK 019:2010 “Classifier of Emergency Situations”. State Committee of Ukraine for Technical Regulation and Consumer Policy. https://zakon.rada.gov.ua/rada/show/va457609-10#Text [in Ukrainian]

Serikova, E., Strelnikova, E., & Yakovlev, V. (2015). The programme of measures to prevent flooding on the built-up areas on example of Kharkiv City. International Journal of Development Research (IJDR), 5(12), 6236–6240. https://www.researchgate.net/publication/299270241

Serikova, E., Strelnikova, O., Yakovlev, V., Anishenko, L., & Pisnya, L. (2017). Evaluation of the adequacy of proposed prediction mathematical model on the actual data of groundwater level monitoring in the central part of Kharkiv city. Scientific Journal “ScienceRise”, 11(40), 43–47. https://doi.org/10.15587/2313-8416.2017.116369

Loboichenko, V. M. (2020). Engineering and technical methods of prevention of emergencies of technogenic character at objects of low-tonnage production by identification of aqueous solutions [Doctoral dissertation]. National University of Civil Defence of Ukraine [in Ukrainian]

Published

2024-04-05

How to Cite

Rashkevych, N., Shevchenko, R., & Vovchuk, T. (2024). DEVELOPMENT OF A MATHEMATICAL MODEL FOR ANALYSING THE HAZARDOUS IMPACT ON THE STATE OF GROUNDWATER IN CITY AGGLOMERATIONS FROM MISSILE AND ARTILLERY ATTACKS. Municipal Economy of Cities, 1(182), 229–240. https://doi.org/10.33042/2522-1809-2024-1-182-229-240

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