The mathematical model of the explosive process impact on the environment developed on the basis of the classical fluid theory which defines the borders of crater, the compressed and unperturbed sections of the soil created as an explosion result is generalized for the case of a three-dimensional medium. The algorithm of the corresponding boundary value problem numerical solving by quasiconformal mappings numerical methods and a step-wise parameterization of the characteristics of the environment and process and its program realization are presented. Numerical experiments were performed on the basis of the developed algorithm and the obtained results were analyzed.
