Application of methods of mathematical landscape morphology to assessing the risk of damage to linear engineering structures resulting from hazardous exogenous geological processes

An approach, based on methods of mathematical landscape morphology, is proposed for risk assessment of the damage to engineering structures caused by geological processes. Model assumptions for models for territories with developed thermokarst, subsidence, and karst processes are presented and substantiated by experimental data for territories with development of thermorakst processes. In this work, areas with thermokarst lakes were digitized and the agreement between theoretical estimates of risk and experimental data was checked. The analysis of obtained results shows the general agreement between calculated and empirical data.