2015 International Nuclear Atlantic Conference - INAC 2015 São Paulo, SP, Brazil, October 4-9, 2015 ASSOCIAÇÃO BRASILEIRA DE ENERGIA NUCLEAR - ABEN ISBN: 978-85-99141-06-9 MATHEMATICAL MODEL OF RADON ACTIVITY MEASUREMENTS Sergei A. Paschuk1, Janine N. Corrêa1, Jaqueline Kappke1, Pedro Zambianchi1 and Valeriy Denyak2 1 Federal University of Technology - Paraná Av. Sete de Setembro, 3165 80230-901, Curitiba, PR
[email protected],
[email protected] 2 Pelé Pequeno Príncipe Research Institute, Av. Silva Jardim, 1632, Curitiba 80250-200, PR, Brazil
[email protected] ABSTRACT Present work describes a mathematical model that quantifies the time dependent amount of 222Rn and 220Rn altogether and their activities within an ionization chamber as, for example, AlphaGUARD, which is used to measure activity concentration of Rn in soil gas. The differential equations take into account tree main processes, namely: the injection of Rn into the cavity of detector by the air pump including the effect of the traveling time Rn takes to reach the chamber; Rn release by the air exiting the chamber; and radioactive decay of Rn within the chamber. Developed code quantifies the activity of 222Rn and 220Rn isotopes separately. Following the standard methodology to measure Rn activity in soil gas, the air pump usually is turned off over a period of time in order to avoid the influx of Rn into the chamber. Since 220Rn has a short half-life time, approximately 56s, the model shows that after 7 minutes the activity concentration of this isotope is null. Consequently, the measured activity refers to 222Rn, only. Furthermore, the model also addresses the activity of 220Rn and 222Rn progeny, which being metals represent potential risk of ionization chamber contamination that could increase the background of further measurements.