Modeling of stress-strain state of rocks during coal deposits exploration

Studying the values and the distribution of natural stresses in rock complexes of uniform and non¬uniform structures is a complex problem due to the fact that there are numerous effecting natural geological and anthropogenic factors and forces. The most reasonable way to conduct studies of the stress-strain state of anthropogenically changed rock mass during the development of stratified coal deposits is to use the method of continuum mechanics, which are based on both analytical and numerical solutions, and the data of in-field and laboratory experiments. When modeling the working-out of coal-bearing strata in flat setting (plane strain), characteristic cross-sections for different zone workings were reviewed. The algorithm for computation за the stress-strain state using the analytical method was analyzed. With the purpose of determination of stresses around a working, we used the solution of the plane problem of the elasticity theory about semi-infinite mass, constrained by the land surface and weakened by the working. The criteria of correctness of the solution were defined, which are determined by way of verification of boundary conditions. With the purpose of solving the problem of distribution of stresses in a mass which is modeled with a linearly deformed media around a working of an arbitrary shape of cross-section, the relevant form of the mapping function of the unit circle on the working shape of an arbitrary shape was determined.