陈权川, 王安礼, 邬忠虎,等.基于尖点突变理论的含软弱夹层缓倾顺层岩质边坡稳定性研究[J].河南理工大学学报（自然科学版）,2022,41(6):188-195.

CHEN Q C, WANG A L, WU Z H, et al.Study on stability of gently inclined bedding rock slope with weak interlayer based on cusp catastrophe theory[J].Journal of Henan Polytechnic University(Natural Science) ,2022,41(6):188-195.

基于尖点突变理论的含软弱夹层缓倾顺层岩质边坡稳定性研究

陈权川1, 王安礼2, 邬忠虎1, 朱爱军1,3, 李兰1, 涂芳瑞1

1.贵州大学 土木工程学院，贵州 贵阳550025；2.贵州质安交通工程监控检测中心有限责任公司，贵州 贵阳，550000；3.贵阳建筑勘察设计有限公司，贵州 贵阳550009

摘要:为了探讨软弱夹层对缓倾顺层岩质边坡稳定性的影响，克服采用安全系数评价边坡稳定性的局限性，提出一种基于尖点突变理论的突变级数法。选取软弱夹层的黏聚力c、内摩擦角φ、倾角β、厚度d、岩体重度γ和空隙水压比γ_u 6个因素进行五水平正交试验，并建立相关的边坡模型，然后采用强度折减法求出边坡的安全系数，基于突变级数法求取试验边坡模型的突变级数。结果表明：影响含软弱夹层缓倾顺层岩质边坡稳定性的主控因素的敏感程度大小顺序为φ>β>c>γ_u>γ>d；采用突变级数法对边坡稳定性的评判结果与强度折减法、极限平衡法一致，并在实际工程中进行了验证；突变级数法在此类边坡的稳定性评价中具有可行性，且较为直观、便捷。研究成果可为此类边坡的稳定性评价提供理论依据。

关键词:尖点突变;正交设计;软弱夹层;强度折减法;边坡稳定性

doi:10.16186/j.cnki.1673-9787.2020090034

基金项目:国家自然科学基金资助项目（51468008） ；贵州省科技计划项目（黔科合基础［2019］1075，黔科合基础［2018］1107）；贵州省水利厅科技专项（KT201804）；贵州省土木工程一流学科建设项目（QYNYL［2017］0013）

收稿日期:2020/09/07

修回日期:2021/01/13

出版日期:2022/11/25

Study on stability of gently inclined bedding rock slope with weak interlayer based on cusp catastrophe theory

CHEN Quanchuan1, WANG Anli2, WU Zhonghu1, ZHU Aijun1,3, LI Lan1, TU Fangrui1

1.College of Civil Engineering，Guizhou University，Guiyang 550025，Guizhou，China；2.Guizhou Quality and Safety Traffic Engineering Monitoring and Testing Center Co.，Ltd.，Guiyang 550000，Guizhou，China；3.Guiyang Architectural Survey Design Co.，Ltd.，Guiyang 550009，Guizhou，China

Abstract:In order to In order to explore the influence of weak interlayer on the stability of gently inclined bedding rock slopes and the influence of overcoming the limitations of using safety factor of slope stability evaluation，a mutation progression method based on the theory of the cusp mutation the stability of the slope was put forward.Six factors，such as cohesion（c），internal friction angle（φ），inclination angle（β），thickness（d），rock mass weight（γ）and void water pressure ratio（γ_u），were selected to conduct a five-level orthogonal test，and a simplified slope model was established.Then the safety factor of the slope was calculated by the strength reduction method and the abrupt transition progression of the experimental slope model was obtained based on the abrupt transition progression method.The results showed that the sensitivity sequence of the six main controlling factors that affected the stability of gently dipping bedding rock slopes with weak interlayers was as φ;β;c;γu;γ;d.The evaluation results of slope stability by abrupt progression method are consistent with strength reduction method and limit equilibrium method，and verified by practical projects.The abrupt progression method was feasible，intuitive and convenient in the stability evaluation of such slopes.The research results could provide guidance for the stability evaluation of this kind of slope.

Key words:cusp cate strophe;orthogonal design;weak interlayer;strength reduction method;slope stability

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