Violent earthquake waves will be produced when an underground spherically packed explosive is blasted, and their propagation mode is affected by many factors. Based on finite difference method coupled with the famous elastic-plastic cap model of rock, numerical simulation and analyses for the propagation and evolution mechanism of 1 D detonated wave are done. The emphasis is put on the waves propagated from hard rocks into soft rocks, or from soft rocks into hard rocks. At the same time, the influences of weak intercalated bed between rock masses on 1 D stress-waves are also discussed.