Abstract <p>We summarized the papers in the field of mathematical modeling, deformable solid mechanics and mining engineering aimed at creating a methodology for monitoring and assessing the deformed state of underground main gas pipelines, which are subjected to technogenic influence. These linear objects are located in the zones of minerals development by hidden method and their actual deformed state is directly determined by the volume and speed of mineral reservoirs development. The study presents the results of numerical modeling of a large number of boundary value problems. The methodology for estimating the actual deformed state of underground pipelines under development is presented.</p>