Helium diffusion, clustering and bubble nucleation and growth is modelled using the finite element method. The existing model from Faney et al. (Model Simul Mater Sci Eng 22:065010, 2018; Nucl Fusion 55:013014, 2015) is implemented with FEniCS and simplified in order to greatly reduce the number of equations. A parametric study is performed to investigate the influence of exposure conditions on helium inventory, bubbles density and size. Temperature is varied from 120 K to 1200 K and the implanted flux of 100 eV He is varied from 10{17}\,{\text{m}^{-2}\, \text{s}^{-1} 10 17 m - 2 s - 1 to 5 \times 10^{21}\, {\text{m}^{-2}\, \text{s}^{-1}}$$ 5 × 10 21 m - 2 s - 1 . Bubble mean size increases as a power law of time whereas the bubble density reaches a maximum. The maximum He content in bubbles was approximately 4 \times 10^{8} 4 × 10 8 He at 5 \times 10^{21}\,{\text{m}^{-2}\, \text{s}^{-1} 5 × 10 21 m - 2 s - 1 . After 1 h of exposure, the helium inventory varies from 5 \times 10^{16} \,{\text{m}^{-2}} 5 × 10 16 m - 2 at low flux and high temperature to 10^{25} \,{\text{m}^{-2}} 10 25 m - 2 at high flux and low temperature. The bubbles inventory varies from 5 \times 10^{12}$$ 5 × 10 12 bubbles m ^{-2} - 2 to 2 \times 10^{19} 2 × 10 19 bubbles m ^{-2} - 2 . Comparison with experimental measurements is performed. The bubble density simulated by the model is in quantitative agreement with experiments.