Total reaction cross sections of light projectile nucleus ( 2 H, 3 H, 3 He and 4 He) interactions with nuclei are calculated using Geant4 models, and compared with experimental data. It is shown that the models give various predictions at low energies, in the region of the Coulomb barrier. "Shen model" (W.-Q. Shen et al., Nucl. Phys. A491 (1989) 130) is identified as an improvement over other models.