Application of mathematical models in the study and forecasting of landslide processes

The presented work belongs to one of the areas of scientific research and consists in the development and use of mathematical models for determining and predicting the stress-strain state of rocks described by various mechanical models that most fully reflect the specificity of geological conditions, as well as the results of instrumental observations of deformation Earth's surface. The application of the equations of motion of a viscous incompressible fluid to mudflows and landslides requires the introduction of additional forms of the dependence of the tangential stresses τ on the velocity υ. When taking into account the rheological features of the studied medium, the most common formula of Coulomb and Velmi is used.