A fluid pressure-loaded single crack located in a rock massif propagation trajectory calculation

The task solving results of a single crack filled with liquid under pressure propagation in a rock mass are presented. The rock mass is loaded with an unequal component gravitational field of stresses and represents a homogeneous elastic medium. The causes of the crack occurrence and its loading by internal pressure are not considered. In the task set, the rock mass is under conditions of a flat deformed state. In this paper, the effect of the opening on the stressed state of the rock mass and on crack propagation trajectory is not considered. The task is solved within the framework of classical concepts of the state of a crack, its stable and unstable growth in an infinite plate of brittle material, based on the theories of Griffiths - Irwin. Based on the results of the studies carried out, crack propagation trajectories are constructed for a number of the crack to the horizon inclination angle values, the characteristics associated with the strength of the enclosing rocks. An analysis is given of the critical pressures change during the crack intergrowth