Atmospheric Dispersion of Radioactive Materials Modeled by Stochastic Differential Equations

This research utilized stochastic differential equations to investigate the dispersion of radiological agents in the atmosphere. The modeling involved a stochastic component in the advective term of the advection-diffusion equation. The solution was obtained using the Euler-Maruyama and finite difference methods to ensure numerical stability and accuracy. The results aligned well with the hypothetical scenario of an environmental release of radioactive material from a nuclear reactor accident. The simulations illustrated how random atmospheric fluctuations and varying wind speeds impact the spread of radionuclides. The study emphasizes the importance of incorporating stochastic elements into predictive models to accurately capture the complex dynamics of radiological dispersion.In this context, the current study aimed to develop better methodological tools to enhance our understanding of the physical processes behind the atmospheric dispersion of radiological contaminants. Although the proposed model relies on simplifying assumptions, the approach based on stochastic differential equations offers a theoretical framework that can serve as a foundation for creating more comprehensive models in the future. These future models will focus on analyzing disruptive events related to the uncontrolled release of radioactive material into the atmosphere or the environment.