Stability evaluation model for high rock slope based on element extension theory

The multi-level evaluation system and rock slope stability were analyzed in this study based on extension and systems engineering theory. An appropriate evaluation index system was selected through hierarchical analysis of geological conditions, excavation and supporting measures, and environmental and monitoring layouts. The comprehensive evaluation system was then divided into three layers: index, description, and target layers. The system can be adopted to conduct a thorough and careful investigation of the research object. The technique matter-element extension transform was employed in the extension model to solve the multi-attribute problem and to prevent incompatibility in rock slope stability evaluation. Qualitative and quantitative grade evaluations were performed by calculating the matter-element dependency degree. The model was then applied to a large-scale rock slope project, and its evaluation criteria for rock slope stability were established. Results were verified through quantitative method of 3D limit equilibrium and qualitative method of 3D nephrogram displacement variation. Results show that extension theory can be utilized to solve problems in rock slope safety.