The ground motion, which is an integral part of any underground explosion, travels through the medium in which the explosion is made tö large distances with magnitudes depending upon the amount of charge in the explosion, distance from the explosion and the characteristics of the intervening medium. It is of great importance to know the magnitude of ground motion near a structure and its possible effect on the structure. This would help in designing an explosion in a better way in terms of the safety of the structures. This requires the knowledge of attenuation laws for the ground motions and the damage criterion for the safety of structures in terms of the maximum permissible vibration.