Ye Yong-Jun, Dai Xin-Tao, Ding De-Xin, Zhao Ya-Li
Key Discipline Laboratory for National Defense for Biotechnology in Uranium Mining and Hydrometallurgy, University of South China, Hengyang, Hunan 421001, China; School of Environmental Protection and Safety Engineering, University of South China, Hengyang, Hunan 421001, China.
School of Environmental Protection and Safety Engineering, University of South China, Hengyang, Hunan 421001, China.
J Environ Radioact. 2016 Dec;165:219-226. doi: 10.1016/j.jenvrad.2016.10.009. Epub 2016 Oct 19.
In this study, a one-dimensional steady-state mathematical model of radon transport in fragmented uranium ore was established according to Fick's law and radon transfer theory in an air-water interface. The model was utilized to obtain an analytical solution for radon concentration in the air-water, two-phase system under steady state conditions, as well as a corresponding radon exhalation rate calculation formula. We also designed a one-dimensional experimental apparatus for simulating radon diffusion migration in the uranium ore with various water levels to verify the mathematical model. The predicted results were in close agreement with the measured results, suggesting that the proposed model can be readily used to determine radon concentrations and exhalation rates in fragmented uranium ore with varying water levels.
本研究依据菲克定律及气 - 水界面处的氡转移理论，建立了破碎铀矿石中氡迁移的一维稳态数学模型。利用该模型获得了稳态条件下气 - 水两相系统中氡浓度的解析解以及相应的氡析出率计算公式。我们还设计了一维实验装置，用于模拟不同水位下铀矿石中氡的扩散迁移，以验证该数学模型。预测结果与测量结果吻合良好，表明所提出的模型可方便地用于确定不同水位破碎铀矿石中的氡浓度和析出率。
