Table 3 Simplified formulas and conditions for calculating radon exhalation rate by the closed chamber method.

From: Temperature-humidity evolution and radon exhalation mechanism of red clay-bentonite covering layer in uranium mill tailings pond

Simplified formula

Conditions to be met

\(J = \frac{\lambda V}{{S\left( {1 - {\text{e}}^{{ - \lambda {\text{t}}}} } \right)}}\left( {C - C_{0} {\text{e}}^{{ - \lambda {\text{t}}}} } \right)\)

(1)

The radon leakage and anti-diffusion are ignored

\(J = \frac{{V\left( {C - C_{0} } \right)}}{St}\)

(2)

â‘  Meet condition (1)

â‘¡ \(\lambda t < < 1\)

\(J = \frac{Vk}{S}\)

(3)

â‘  Meet condition (2)

② The cumulative radon concentration is linear with the cumulative time, and k is the slope obtained by using the least square method, Bq·m−3·s−1

\(J = kH\)

(4)

â‘  Meet condition (3)

â‘¡ The radon exhalation surface is consistent with the base area of the radon collector, and the radon collector is cylindrical or cubic. H is the height of the radon collector, m