In order to improve the damage efficiency of concrete, on the basis of the theory of the existing explosion throwing character, established mathematical model of medium debris throwing driven under the different kinds of working condition of initiation. According to the established mathematical model, calculating the debris throwing driven character under of near-ground-surface and far-ground-surface initiation condition. The results showed that comparing with near-ground-surface explosion, for far-ground-surface initiation, due to constraining of tunnel wall, damping effect increased significantly, limit the explosion of concrete debris throwing effect, thereby the directly throwing driven ability of medium debris is poor.