Defining of 2-D surfaces of a combined hierarchical object located in the block layered geological medium using the data of active acoustic monitoring

Purpose. Geological medium is an open system which is influenced by outer and inner factors that can lead it to an unstable state. That non stability is often occurred locally and these zones are named as dynamically active elements, which are indicators of potential catastrophic sources. These objects differ from the embedded geological medium by their structural forms, which are of hierarchical type.

Design/methodology/approach. We developed an algorithm for constructing the equation of theoretical inverse problem for 2-D linear polarized longitudinal elastic wave as a source of excitation of the N-layered elastic medium with combined hierarchic plastic, elastic and density inclusions located in the (ν−1), ν and (ν+1) elastic layers. An iteration process of solving the inverse problem for the case of certain configurations of 2D hierarchical inclusions of l, m, s ranks is elaborated using integral and differential equations.

Findings. When interpr eting the results of active wave monitoring it is need to use the data of such systems that are configured to study the hierarchical structure of the medium.

Practical value/implications. These results will be the base for constructing new systems of monitoring observations of dynamical geological objects.