Extractive industries often use explosives to destroy rocks, and productivity requirements tend to increase the charges of the explosives. The blasts induce vibrations, which result in a potential damage of the surrounding structures. Therefore, the prediction of vibrations should be described with accuracy, in order to ensure the safety of engineered structures. However, the prediction of vibrations' levels remain a complicated issue, because it involves numerous parameters correlated to the quarry site. In this paper, statistical analysis based on the peak particle velocity (PPV) and the attenuation law has been carried out to assess the safety charges (Q) for different distances (R) between the blast and the considered structure to secure. Moreover, the experimental investigations were conducted on the quarry site of "Sococim", which is located on the south coast of Senegal. To ensure the safety of the "Conveyor belt" and "Panel 1 (Upper exploitation level)" sites, the PPV should be less than 10 mm/s. In fact, the attenuation model has been used to assess the safe charge weights of the explosive (Q) to be used at the "Conveyor belt" site and at the "Panel 1 (Upper exploitation level)" site. Therefore, the safe charge weights per delay (Q) were respectively 116 kg and 13.75 kg.