The elasticity cavity swelling is investigated, and based on equivalent loading and elastic wave theory, blasting propagation model at great depth is established. Using the potential functions which is equal to different boundary conditions, a transformation rule between velocity field and stress field is given. The result shows that for the same stress condition, the particle’s velocity is smaller, the reason for which is that the factors influencing the magnitude of this difference are the propagation distance and speed. Through the stress field attenuation analyses under shock wave loading, variable attenuation of spherical wave field is r-1at least. At the beginning of the medium’s movement, the circumferential stress is tensile stress, and then turns into compressive stress. The tensile stress may cause radial cracks. The shearing stress is the decreasing function of r/R0in the area from seismic source to elastic wave front.