The leading methodologies (mathematical modeling and computational experiment) for studying geomechanical models to represent the state of systems "rock mass - reinforced rocks - innovative support system" in complex mining and geological conditions are considered. Mathematical modeling of carbon fiber-reinforced plastic arch support (CFRP) was carried out. A comparative analysis of the stress and strain state of the system "rock mass - support made of composite materials" with the stress and strain state of the existing roof support system in the mine was carried out. A laboratory simulation was carried out to determine the carrying capacity of the new shoring structure by creating a model on a 3D-printer in accordance with the basic principles of geometric similarity theory. The reliability of the calculations carried out and the results obtained has been substantiated by comparing the data of the computational experiment and the laboratory simulation.
The energy sector of Ukraine directly depends on the coal industry as the basis for the country's industry development (e.g. Ivanova et al. 2021 and Mamaikin et al. 2017). It is based on the energy-saving principles and effective use of all available energy resource. Despite the latest global trends in decarbonization (Kermeli et al. 2022), the coal industry in Ukraine is the main, pivotal, city-forming one and, despite the decline in prestige, remains one of the main industrial sectors.
One of the main directions for implementing the task of increasing the reliable operation of coal mines is not only improvement of the coal mining technology, but also ensuring the proper stability of the extraction workings, including for their repeated use (Kovalevska et al. 2020).
The factors discussed above testify to the relevance of this research, but first it is necessary to review the main publications and trends on the issue of fastening the mined-out space, both with arched supports and roof-bolting supports (Table 1). This will determine the main directions in conducting the research.
