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

  • Y. J. YeEmail author
  • W. H. Wu
  • C. H. Huang
Original Paper


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.


Radon Mathematical model Seepage Diffusion Covering layer 


92.60.Sz 89.60.-k 23.60.+e 



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)


  1. [1]
    World Health Organization. WHO Handbook on Indoor Radon: a Public Health Perspective (Geneva: WHO Press) (2009)Google Scholar
  2. [2]
    J Ferlay, P Autier, M Boniol, M Heanue, M Colombet and P Boyle Ann. Oncol. 18 581 (2007)CrossRefGoogle Scholar
  3. [3]
    J Chen, N M Rahman and I A Atiya J. Environ. Radioact. 101 317 (2010)CrossRefGoogle Scholar
  4. [4]
    E Lespukh, P Stegnar, A Usubalieva, A Solomatina, B Tolongutov and R Beishenkulova J. Environ. Radioact. 123 28 (2013)CrossRefGoogle Scholar
  5. [5]
    Y Ishimori, K Lange, P Martin, Y S Mayya and M Phaneuf Measurement and calculation of radon Releases from Norm Residues. Technical reports series No. IAEA, Vienna, 474 (2013)Google Scholar
  6. [6]
    S Turhan, U N Baykan and K Sen J. Radiol. Prot. 28 83 (2008)CrossRefGoogle Scholar
  7. [7]
    K Kovler Constr. Build. Mater. 23 246 (2009)ADSCrossRefGoogle Scholar
  8. [8]
    V C Rogers and K K Nielson Health Phys. 61 225 (1991)CrossRefGoogle Scholar
  9. [9]
    V S Yakovleva, I Roman and Parovik Nukleonika 55 601 (2010)Google Scholar
  10. [10]
    W E Clements and M H Wilkening J. Geophys. Res. 79 5025 (1974)CrossRefGoogle Scholar
  11. [11]
    J Leung and M L Tso Health Phys. 77 420 (1999)CrossRefGoogle Scholar
  12. [12]
    B K Sahoo, Y S Mayya and B K Sappa Radiat. Meas. 45 237 (2010)ADSCrossRefGoogle Scholar
  13. [13]
    B K Sahoo, B K Sappa and J J Gaware Sci. Total Environ. 409 2635 (2011)ADSCrossRefGoogle Scholar
  14. [14]
    S D Schery, D H Gaeddert and M H Wilkening J. Geophys. Res. 87, 2969 (1982)ADSCrossRefGoogle Scholar
  15. [15]
    V C Rogers and K K Nielson Health Phys. 60 807 (1991)CrossRefGoogle Scholar
  16. [16]
    P Sahu, D P Mishra, D C Panigrahi, V Jha, R L Patnaik and N K Sethy J. Environ. Radioact. 130 15 (2014)CrossRefGoogle Scholar
  17. [17]
    R Garra and E Salusti Physica D 250 52 (2013)ADSMathSciNetCrossRefGoogle Scholar
  18. [18]
    K J Renken and T Rosenberg Health Phys. 68 808 (1995)CrossRefGoogle Scholar
  19. [19]
    S G Cui, P Liu, E Q Cui, J Su and B Huang Constr. Build. Mater. 173 124 (2018)CrossRefGoogle Scholar
  20. [20]
    C Lian, Y Zhuge and S Beecham Constr. Build. Mater. 25 4294 (2011)CrossRefGoogle Scholar
  21. [21]
    Y J Ye, L H Wang, D X Ding, Y L Zhao and N B Fan Radiat. Meas. 68 1 (2014)ADSCrossRefGoogle Scholar

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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