Lyapunov exponent of surrounding rock system in process of unloading for deep-buried tunnel

ZHAO Yu; LI Xiao-hong; LU Yi-yu; KANG Yong; CHEN Lu-wang

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Lyapunov exponent of surrounding rock system in process of unloading for deep-buried tunnel

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- Lyapunov exponent of surrounding rock system in process of unloading for deep-buried tunnel
- Vol. 29, Issue 10, (2008)
- 作者机构：
  
  1. 重庆大学土木工程学院,重庆,400030
  2. 西南资源开发及环境灾害控制工程教育部重点实验室,重庆,400030
  3. 合肥工业大学资源与环境学院,合肥,230009
- 作者简介：
- 基金信息：
- DOI：
  CLC： U451+.2
- Online First：03 August 2013，
  
  Published：2008
- 稿件说明：
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ZHAO Yu, LI Xiao-hong, LU Yi-yu, et al. Lyapunov exponent of surrounding rock system in process of unloading for deep-buried tunnel[J]. 2008, 29(10).
DOI：

ZHAO Yu, LI Xiao-hong, LU Yi-yu, et al. Lyapunov exponent of surrounding rock system in process of unloading for deep-buried tunnel[J]. 2008, 29(10). DOI：

摘要

岩石材料本质上是一种物理非线性的材料，在深埋条件下，隧道围岩系统的变形还表现出几何非线性，这两种非线性机制的相互作用使得围岩系统的卸荷演化具有高度的复杂性。根据重庆某深埋隧道围岩实际情况，运用FLAC3D三维显式有限差分法分析软件，建立了摩尔-库仑剪破坏与拉破坏复合的应变软化模型，采用大变形方法对深埋隧道围岩系统卸荷进行数值仿真，引入混沌动力学理论对数值模拟的分析结果进行整合，提取了围岩系统演化过程中特征点演化时间序列的Lyapunov指数，对其混沌形态进行了研究。实例分析表明：深埋隧道围岩系统卸荷演化呈现典型的混沌性态，且系统演化具有对初始条件的敏感性。

Abstract

Rock is a kind of physical nonlinear complicated medium

under deep-buried condition the deformation of surrounding rock system shows geometrical nonlinear; and the interaction between two nonlinear mechanisms makes the unloading of surrounding rock system evolved complexly. Based on Fast Lagrangian Analysis of Continua 3 Dimensions

shear-tension failure model of Mohr-Coulomb is established. Numerical simulation of deep-buried tunnel surrounding rock system is introduced by using large deformation method; and chaotic dynamic theory is drawn into. From the results of numerical simulation

Lyapunov exponent has been extracted from evolution data in the unloading process of surrounding rock system. The analysis indicates that the typical chaos character has been demonstrated in the process of unloading for deep-buried tunnel surrounding system; and the evolution of surrounding rock system is sensitive to the initial condition.

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