基于有限元结合 MATLAB 数值模拟的铀矿山氡扩散迁移研究

摘要

Using the method of finite element combined with MATLAB software to establish mathematical model of nuclide migration of radon diffusion to visualize its diffusion.Conducted numerical calculation and two-dimensional numerical simulation on tunnel walls of uranium mine and mine radon concentration.In the numerical calculation,using finite element method combined with MATLAB programming got semi-infinite medium and infinity one-dimensional curves of radon concentration in the medium.In the two-dimensional simulations using MATLAB PDE TOOL kit translated semi in finite medium and infinity limited thick medium into concrete wall of roadway and room of radon concentration,got tunnel walls radon concentration of radon concentration and ore room specific image.The simulation results can find better solution for reducing the concentration of radon and radon daughter in mines and put forward corresponding radon protective measures to provide a good production environment for the staff in mine.The study has important practical significance for radon radiation protection and can be used as reference for uranium ore district of radiation protection.%运用有限元法与 MATLAB 软件相结合的方式，建立核素氡迁移扩散数学模型，使其迁移扩散可视化。分别对铀矿山巷道壁与矿房氡浓度进行了数值计算和二维数值模拟。在数值计算中运用有限元结合MATLAB 编程得到了半无限介质和无限延展介质中氡浓度一维曲线图；在二维模拟中利用 MATLAB 中的PDE TOOL 工具箱将半无限大介质和无限延展有限厚介质分别转化为具体的巷道壁和矿房中的氡浓度析出，得到巷道壁的氡浓度和矿房中的氡浓度具体图像。该模拟结果可为降低矿山中氡及氡子体的浓度找到更好的解决办法，提出相应的氡防护措施，为矿山工作人员提供良好的生产环境。此外，研究结果对氡防辐射具有重要的实践意义，可以供铀矿区辐射防护作参考。