Based on 2D integral and integral-differential equations, an iterative process has been developed for solving a theoretical inverse problem for the case of determining the configurations of 2D hierarchical inclusions of the l-th, m-th, and s-th ranks located one above the other in different layers of the N-layer medium for acoustic monitoring. The upper layer is abnormally stressed, the middle one is abnormally elastic, and the lower one is abnormally dense. The degree of filling with inclusions of each rank is different for all three hierarchical inclusions. When interpreting the results of monitoring, it is necessary to use data from such observation systems that can be configured to study the hierarchical structure of the environment. Such systems include acoustic (in the dynamic version) and electromagnetic monitoring systems. According to the electromagnetic monitoring data, the features were identified of the distribution morphology for these zones in the orts of the Tashtagol mine, which are linked with the effects of stability problems. Acoustic dynamic monitoring systems are preferable for studying the state of the array in terms of migration and dynamics of the intensity of disintegration zones, since the array responds to a change in a greater number of its physical and mechanical properties: anomalous elasticity, density, plasticity, and secondary intensity. The obtained results can be used to analyze the dynamic state of formation for deep-lying deposits.