Formulation of the Conditions for the Existence of a Mathematical Model for Emergency Prevention in Areas Contaminated by Residues of Rocket and Artillery Strikes

Keywords: initial conditions, boundary conditions, vertical dimensions, horizontal dimensions, soil, emergency situation

Abstract

Purpose. To formation the conditions for the existence of a mathematical model for emergency prevention in areas contaminated by residues of rocket and artillery strikes through the selection of geometric dimensions for the site of comprehensive soil assessment.

Method. The study employs an approach combining mathematical modeling, stratified soil sampling, and the construction of a risk index assessment, taking into account the spatial structure of contamination and pollutant interactions.

Findings. The study proposes the conditions for the existence of a mathematical model based on the selection of optimal geometric dimensions of the comprehensive soil assessment area (100×100 m horizontally and stratified layers up to 2 m deep). Formulas for hazard indices have been established, accounting for different types of pollutant interactions.

Theoretical implications. The results expand existing approaches to soil contamination risk assessment by integrating multilevel analysis of spatial distribution and pollutant interaction typology.

Practical implications. The results support the planning of monitoring activities, identification of priority areas for hazard assessment, and implementation of soil reclamation measures.

Originality/Value. A novel approach is proposed for the mathematical description of threat propagation in the affected zone, considering both pollutant concentration profiles and their interactions.

Research limitations/Future research. Limitations relate to the accuracy of initial data concerning the type, quantity, and composition of pollutants. Future research is aimed at the development of a mathematical model for emergency prevention in areas contaminated by residues of rocket and artillery strikes.

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References

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Published
2025-10-31
How to Cite
Rashkevich, N., Shevchenko, O., Rushchak, I., Kradozhon, V., & Krasnov, V. (2025). Formulation of the Conditions for the Existence of a Mathematical Model for Emergency Prevention in Areas Contaminated by Residues of Rocket and Artillery Strikes. Social Development and Security, 15(5), 151-161. https://doi.org/10.33445/sds.2025.15.5.12
Section
Civil Security