Ten years investigation of the Super-deep penetration problem allows one to understand the main features of the effect and prepare the foundation for a model that can describe the process. The paper is devoted to the creation of such a model taking account of real conditions of super-deep penetration process, such as an intensive pressure field which is generated in the target by the flux of powder particles accelerated by a special explosive accelerator. Accurate investigation of the problem allowed one to obtain a precise solution of the problem, at least for the cases of constant and time-dependent pressures.