The are selected the mathematical models basing on equations of the theories an elasticities and liquid environments accordingly for rocks with significant resistance to shifting pressure and for want of it are justified. Because of of stereomechanical theory of impact the simplified models of interaction of flat shock waves with the flat boundaries of the unit of grounds, mountain rocks are offered. Effect of shielding of shock waves the elastic layers with distinguished mechanical properties quantitatively is appreciated. The dynamic effect of a flat shock wave on indefinitely long rigid actuation of rectangular section is considered. The problem about transformation of waves with curvilinear fronts arising at a thickness of layers, curvature, close to radiuses, of waves is decided. The developed algorithms and programs allow to conduct modelling on the COMPUTER of researched wave processes in a broad band of changes of geometric, физико-mechanical parameters of layers of rocks and charges. The effec tiveness of theoretical outcomes of activity is proved also to satisfactory concurrence them with the data of a data of the authors, that allows to recommend the given technique for an evaluation of a seismic operation of explosion.
