重庆大学学报2026，Vol.49Issue(1)：94-105,12.DOI:10.11835/j.issn.1000-582X.2026.01.009
基于尖点突变理论的岩溶山体稳定性分析
Stability analysis of karst landslides based on cusp catastrophe theory
摘要
Abstract
To investigate the stability evolution of mountainous slopes in karst regions,this study considers the deterioration of pipelines along the rear edge and sliding surface,as well as the weakening effects of water on structural planes.Taking planar sliding in karst mountains as the research object,two geological models and corresponding mechanical models are established,including unconnected and connected karst conduits.Based on cusp catastrophe theory,the stability coefficient(FOS)and critical stability coefficient(FOS*)of karst slopes under pipeline flow conditions are derived,and an energy-based criterion for abrupt instability is proposed.Results show that the displacement relationship between equilibrium and critical instability points can effectively determine the onset of slope failure.When conduits are unconnected,the presence of an additional stiffness coefficient k in the formulations of FOS and FOS* reveals that karst conduits influence slope stability.The stability coefficient is closely related to both k and pipeline deterioration coefficient m,showing their controlling roles in stability evolution.A case study of the Jiwei Mountain landslide verifies that the proposed energy criterion based on cusp catastrophe theory more accurately evaluates the stability of karst slopes with complex sliding surfaces,complementing the results of traditional limit equilibrium analysis.关键词
岩土工程/山体稳定性/尖点突变理论/岩溶管道/水锤作用力/能量准则Key words
geotechnical engineering/mountain stability/cusp catastrophe theory/karst conduit/water hammer force/energy criterion分类
建筑与水利引用本文复制引用
赵瑞欣,蒲峻驰,李滨,易连兴,张东,张秀钰..基于尖点突变理论的岩溶山体稳定性分析[J].重庆大学学报,2026,49(1):94-105,12.基金项目
国家重点研发计划资助项目(2018YFC1504801) （2018YFC1504801）
国家自然科学基金资助项目(41907236).Supported by the National Key Research and Development Program of China(2018YFC1504801),and National Natural Science Foundation of China(41907236). （41907236）
