The geological environment is an open system, which is affected by external and internal factors. They can bring it to an unstable state, which, as a rule, manifests itself locally in the form of zones called dynamically active elements, by which potential catastrophic sources can be identified. These objects differ from the host geological environment in their structural forms, which are often of hierarchical types. The process of their nonlinear activation can be observed using borehole monitoring of acoustic fields, for the mathematical support of which new modeling algorithms have been developed using the method of integral and integro-differential equations with the inclusion of nonlinear terms in the dependence of the wave parameter on frequency. When interpreting the results of acoustic monitoring, it is necessary to use the data of such observation systems that are configured to study the hierarchical structure of the medium. A new algorithm has been developed for processing the seismological information of a detailed mine catalog taking into account the kinematic and dynamic characteristics of deformation waves propagating at different speeds in a rock mass, which is under intense external influence in the form of mass or technological explosions. It has been established that waves propagating with velocities from 1 to 10 m / h are the preferred carrier of energy in the array and contribute to its release. The responses of an array with energies less than 104 joules contribute to creep rearrangement of the rock mass, and with energy of release greater than 105 joules, they can be considered as precursors of destructive dynamic phenomena.