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基于折叠突变理论的双应变软化夹层隧道围岩稳定性分析
Stability Analysis of Surrounding Rock of Double Strain Softening Sandwich Tunnel based on Collapse Catastrophe Theory
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魏艳君1 ,2 ,  李    忠1 ,2  ,  陈家征1 ,2  ,  刘志鹏1 ,2

( 1 .  石家庄铁道大学 土木工程学院 ,石家庄 050043 ;

2.  道路与铁道工程安全保障省部共建教育部重点实验室 ,石家庄 050043)

摘   要 :软弱夹层的应变软化特性使得隧道围岩开挖易发生冒顶 、塌方等事故。以应变软化特性本构关系, 基于势能原理,建立双应变软化夹层组合下的折叠突变模型,推导出隧道围岩突变失稳判据;通过 FLAC 3D 模拟软件分析不同剪切模量下围岩位移的变化规律。结果表明: 双应变软化夹层,位移的变化主要在软弱夹层附近,随着软弱夹层周围岩体剪切模量差距增大,夹层部位出现位移局部增大现象;且剪切模量越小, 围岩越容易突变失稳;基于折叠突变理论建立的双应变软弱夹层隧道围岩失稳判据是适用的,可以作为判别围岩稳定性的补充,研究成果可为今后类似隧道工程设计 、施工提供指导借鉴作用。

关键词:软弱夹层 ;双应变软化 ;围岩失稳 ;折叠突变模型 ;失稳判据

中图分类号:U25           

文献标志码:A            

文章编号: 1005- 8249   (2025)  02- 0067- 07 

DOI:10. 19860/j.cnki.issn1005 - 8249.2025 .02.012

 

WEI Yanjun 1 , 2  ,  LI Zhong 1 , 2  ,  CHEN Jiazheng 1 , 2  ,  LIU Zhipeng 1 , 2

(1 . School of Civil Engineering ,  Shijiazhuang Tiedao University ,  Shijiazhuang 050043 ,  China;

2. Key Laboratory of Road and Railway Engineering Safety Assurance ,  Jointly Established by

the Ministry of Education and the Ministry of Education ,  Shijiazhuang 050043 ,  China)


Abstract: The strain softening characteristics of weak interlayers make tunnel surrounding rock excavation prone to accidents such as roof fall and collapse. Based on the principle of potential energy and the constitutive relationship of strain softening characteristics, a folded catastrophe model for the combination of dual strain softening interlayers is established, and a criterion for catastrophic instability of tunnel surrounding rock is derived. The results show that the displacement of the double strain softening interlayer mainly changes near the weak interlayer. As the difference in shear modulus between the weak interlayer and the surrounding rock mass increases, there is a local increase in displacement at the interlayer; Based on numerical simulation data, the displacement increment is fitted into a curve and transformed into a folded catastrophe model. It is found that the smaller the shear modulus, the more prone the surrounding rock is to sudden instability; The collapse catastrophe theory based criterion for surrounding rock instability in double strain weak intercalated tunnels is applicable and can be used as a supplement to judge the stability of surrounding rock. The research results can provide guidance and reference for the design and construction of similar tunnel projects in the future.

Key words: weak intercalation; double strain softening; instability of surrounding rock; folding mutation model; instability criterion



作者简介:魏艳君  (1998—) ,  女 ,硕士研究生 ,研究方向:地质灾害超前预报及隧道地下工程。

通信作者:李   忠  (1968—) ,  男 ,博士 ,教授 ,研究方向:地质灾害超前预报及隧道地下工程。

收稿日期:2023 - 04 - 06