›› 2017, Vol. 38 ›› Issue (4): 1032-1040.doi: 10.16285/j.rsm.2017.04.014

• 基础理论与实验研究 • 上一篇    下一篇

深部巷道围岩分区破裂的非线性连续相变模型研究

陈昊祥1,戚承志1,李凯锐2,徐 琛3,刘天添1   

  1. 1. 北京建筑大学 北京市工程结构与新材料工程研究中心,北京 100044;2. 中国人民解放军理工大学,江苏 南京 210007; 3. 北京城建设计发展集团股份有限公司,北京 100044
  • 收稿日期:2015-04-27 出版日期:2017-04-11 发布日期:2018-06-05
  • 通讯作者: 戚承志,男,1965年生,博士,教授,博士生导师,主要从事结构抗震、岩土力学等方面的研究工作。E-mail: qichengzhi65@163.com E-mail:504924752@qq.com
  • 作者简介:陈昊祥,男,1992年生,硕士研究生,主要从事结构抗震、岩土力学方面的研究工作。
  • 基金资助:

    国家自然基金资助项目(No. 51174012,No. 51478027);北京市属高等学校创新团队建设与教师职业发展计划项目(No. IDHT20130512);国家重点基础研究发展计划(973)项目(No. 2015CB0578005)。

Nonlinear continuous phase transition model for zonal disintegration of rock masses around deep tunnels

CHEN Hao-xiang1, QI Cheng-zhi1, LI Kai-rui2, XU Chen3, LIU Tian-tian1   

  1. 1. Beijing High Institution Research Center for Engineering Structure and New Material, Beijing University of Civil Engineering and Architecture, Beijing 100044, China; 2. PLA University of Science and Technology, Nanjing, Jiangsu 210007, China; 3. Beijing Urban Construction Design & Development Group Co., Limited, Beijing 100044, China
  • Received:2015-04-27 Online:2017-04-11 Published:2018-06-05
  • Supported by:

    This work was supported by the National Natural Science Foundation of China (51174012, 51478027), the Project of Construction of Innovative Teams and Teacher Career Development for Universities and Colleges Under Beijing Municipality (IDHT20130512) and the National Program on Key Basic Research Project of China (973 Program) (2015CB0578005).

摘要: 深部巷道围岩中会形成分区破裂现象。围岩分区破裂的形成过程可以看作是围岩内部结构的连续相变过程,因此,连续相变模型可以描述分区破裂的主要特征。基于文献[15-16]中利用连续相变理论,结合经典弹塑性理论建立了围岩分区破裂的非线性相变模型。运用相平面分析法研究了非线性连续相变模型方程的解的性质,得到了非线性解的3种形式。用数值方法求解了非线性连续相变模型方程,并与线性相变模型的解进行了比较,展示了非线性模型能够更好地描述围岩变形的空间分布。最后分析了非线性模型方程中各系数对方程解的影响及其物理意义,其研究结果对于应用非线性连续相变模型模拟分区破裂具有指导意义。

关键词: 深部围岩, 分区破裂, 梯度, 连续相变, 非线性

Abstract: The phenomenon of zonal disintegration may occur in rock mass of deep tunnels. The zonal disintegration can be regarded as a continuous phase transition process of internal structure of rock mass near deep tunnels, and thus the continuous phase transition model is used to describe the main features of zonal disintegration. In this study, a nonlinear continuous phase transition model is developed for zonal disintegration based on the continuous phase transition theory presented in references [15-16], and classical elasticity-plasticity theories. By using the phase plane analysis method, the characteristics of solutions of the nonlinear continuous phase transition model are studied and three different types of solution are obtained. Numerical methods are applied to solve the nonlinear governing equation of the model, and results are compared with those of the linear model. Numerical results indicate that the spatial distribution of deformation of rock masses is represented well by the nonlinear model. For instance, nonlinear solutions can be used to simulate the variation of the distance between two adjacent fractured zones in the radial direction and the occurrence of inner rock burst. At last, the effects of coefficients on the solutions are given and its physical mechanism is clarified by using the elastic foundation string theory. The developed nonlinear continuous phase transition model can be served as a guidance to investigate zonal disintegration near deep tunnels.

Key words: deep rock mass, zonal disintegration, gradient, continuous phase transition, nonlinear

中图分类号: 

  • TU 457

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