Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory

FU Cheng-hua; CHEN Sheng-hong

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Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory

更新时间：2026-06-25

- Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory
- Vol. 29, Issue 1, (2008)
- 作者机构：
  
  1. 西华大学能源与环境学院,成都,610039
  2. 武汉大学水资源与水电工程科学国家重点实验室,武汉,430072
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU454
- Online First：18 July 2013，
  
  Published：2008
- 稿件说明：
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FU Cheng-hua, CHEN Sheng-hong. Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory[J]. 2008, 29(1).
DOI：

FU Cheng-hua, CHEN Sheng-hong. Study on instability criteria of surrounding rock of underground engineering cavern based on catastrophe theory[J]. 2008, 29(1). DOI：

摘要

地下工程围岩体系是高度非线性的复杂大系统，其稳定判据至今没有一个统一的认识。突变理论注重研究系统状态发生突变时外界的控制条件，主要阐述非线性系统如何从连续渐变状态走向系统性质的突变。应用突变理论对围岩体失稳的突变过程进行探索，旨在从理论上弄清其突变条件。能量突变判据和熵突变判据从物理学的观点考虑了围岩系统失稳的可能性，位移模突变判据、洞周屈服区面积突变判据和广义黏塑性剪应变突变判据则主要是根据数值计算中直观判别条件（关键点位移、洞周屈服区面积和广义黏塑性剪应变）考虑围岩失稳的可能性。将以上5种判据应用于某地下洞室断面，对围岩系统的稳定性进行分析，根据系统突变条件从不同的方面判别其发生失稳的可能性，可为工程的设计施工提供一定参考。

Abstract

Surrounding rock system is of high nonlinear and complexity

and there is no unified cognition for its stability criteria. catastrophe theory is used in the study on outside control condition when catastrophe happens to system state

and mainly expatiate on how nonlinear system tend towards system character catastrophe from continuous gradual change state. Catastrophe theory is used in surrounding rock instability criteria to illustrate its catastrophe condition theoretically. Energy catastrophe criterion and entropy catastrophe criterion are applied to analyze system instability based on physics; displacement module catastrophe criterion and yield zone area around cavern catastrophe criterion and generalized viscoplastic shearing strain catastrophe criterion are applied to analyze system instability based on intuitionistic judge condition (key place displacement

yield zone area around cavern and generalized viscoplastic shearing strain). Above five criteria are respectively applied to analyze surrounding rock stability of a underground cavern section

according to the condition of system catastrophe; system instability is judged from different aspects; and it may provide reference for engineering design and construction.

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