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Theoretical study of the exhalation of radon from a circular tubular cover layer

  • Y. J. Ye
  • W. H. Wu
  • C. H. Huang
Original Paper
  • 5 Downloads

Abstract

Radium, which is naturally present in many rocks, decays to the radioactive gas radon, which is exhaled from the surface of underground tunnels and air-raid shelters and is a major source of human exposure to radioactivity. We developed a mathematical model for the migration of radon from a finite-thickness circular tubular emanation medium and a semi-infinite hollow cylindrical emanation medium based on the seepage–diffusion migration theory of radon in porous emanation media. We obtained an analytical solution for the distribution of radon concentration and a formula for the radon exhalation rate under steady-state conditions. When there was no seepage, the radon exhalation rate in the covering layer decreased as the thickness of the covering layer increased and tended toward zero. The radon exhalation rate from the covering layer increased as the radon diffusion coefficient increased. When seepage occurred, the difference in the radon exhalation rate between seepage and non-seepage decreased as the thickness of the covering layer increased. When v > 0, the radon exhalation rate in the covering layer increased as the seepage velocity increased. When v < 0, the radon exhalation rate in the covering layer decreased as the seepage velocity increased.

Keywords

Radon Mathematical model Seepage Diffusion Covering layer 

PACS Nos.

92.60.Sz 89.60.-k 23.60.+e 

Notes

Acknowledgements

This Project was supported by National Natural Science Foundation of China (Grant No. 11575080), Hunan Provincial  Natural Science Foundation of China (Grant No. 2018JJ2318) and the Graduate innovation subject of University of South China, China (Grant No. 2017YCXXM04).

Supplementary material

12648_2018_1327_MOESM1_ESM.docx (28 kb)
Supplementary material 1 (DOCX 28 kb)

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Copyright information

© Indian Association for the Cultivation of Science 2018

Authors and Affiliations

  1. 1.School of Environmental and Safety EngineeringUniversity of South ChinaHengyangChina
  2. 2.School of ArchitectureUniversity of South ChinaHengyangChina
  3. 3.Key Discipline Laboratory for National Defense for Biotechnology in Uranium Mining and HydrometallurgyUniversity of South ChinaHengyangChina

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