基于突变理论的某公路不良地质边坡稳定性研究  

Study on the Stability of a Highway Slope under Bad Geology Based on Catastrophe Theory

作　　者：李琛 刘树林[1,2] 李小兵 李永勤 LI Chen;LIU Shulin;LI Xiaobing;LI Yongqin(CCCC First Highway Consultants Co.,Ltd.,Xi'an 710075,China;Xi'an Zhongjiao Highway Geotechnical Engineering Co.,Ltd.,Xi'an 710075,China)

机构地区：[1]中交第一公路勘察设计研究院有限公司,西安710075 [2]西安中交公路岩土工程有限责任公司,西安710075

出　　处：《路基工程》2025年第2期172-177,共6页Subgrade Engineering

摘　　要：通过地质雷达对某边坡不良地质体进行探测,并进行稳定性分析,研究开挖过程中的应力、位移、塑性区及耗散能等,结合尖点突变理论建立耗散能-尖点突变公式。结果显示:开挖完成后边坡坡面压应力显著减小,边坡z方向位移10.1 cm,x方向12.5 cm,结合塑性区可知边坡形成潜在滑移面;通过尖点突变理论分析可知开挖至第六步时Δ<0边坡失稳;对边坡采用锚索框架梁支护后,塑性区及位移显著减小,结合突变理论Δ>0,认为边坡处于稳定状态。The unfavorable geological body of a slope was detected via the geological radar,and the stability analysis was carried out.The stress,displacement,plastic zone and dissipation energy in the excavation process were studied,and the dissipation energy-cusp catastrophe formula was established based on the cusp catastrophe theory.The result shows that,the compressive stress of the slope surface is significantly reduced after the excavation.The displacement of the slope in the z direction is 10.1 cm,and that in x direction is 12.5 cm.Combined with the plastic zone,it can be seen that the slope forms a potential slip surface.Through cusp catastrophe theory analysis,it can be known that the slope is unstable until the sixth stepΔ<0.After the slope is supported by anchor cable frame beam,the plastic zone and displacement are significantly reduced.Combined with catastrophe theoryΔ>0,the slope is considered to be in a stable state.

关 键 词：强-中风化泥岩 边坡支护 位移监测 突变 锚索框架梁 稳定性 

分 类 号：U418.52[交通运输工程—道路与铁道工程]