深部巷道围岩塑性区演化的理论模型与实测对比研究

陈昊祥; 王明洋; 燕发源; 戚承志

doi:10.11779/CJGE202210011

深部巷道围岩塑性区演化的理论模型与实测对比研究 English Version

1.
北京建筑大学土木与交通工程学院, 北京 100044
2.
中国人民解放军陆军工程大学爆炸冲击防灾减灾国家重点实验室, 江苏南京 210007
3.
中国矿业大学(北京)力学与建筑工程学院, 北京 100083

基金项目:

国家自然科学基金项目 51679249

北京市自然科学基金项目 8222010

河南省特种防护材料重点实验室开放课题项目 SZKFKT202102

北京建筑大学内涵发展–青年教师科研能力提升计划项目 X2102080921019

详细信息

作者简介:
陈昊祥(1992—)，男，博士，博士后，主要从事深部岩体力学与工程及防灾减灾方面的研究工作。E-mail：chx@stu.bucea.edu.cn

通讯作者:
王明洋，E-mail：wmyrf@163.com

中图分类号: TU452
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- 文章访问数: 167
- HTML全文浏览量: 45
- PDF下载量: 32
出版历程
- 收稿日期: 2021-09-05
- 网络出版日期: 2022-12-11
- 刊出日期: 2022-09-30

Theoretical model for evolution of plastic zone of rock mass around deep tunnels and its comparison with in-situ observation

1.
School of Civil and Transportation Engineering, Beijing University of Civil Engineering and Architecture, Beijing 100044, China
2.
State Key Laboratory of Disaster Prevention and Mitigation of Explosion and Impact, Army Engineering University of PLA, Nanjing 210007, China
3.
School of Mechanics and Civil Engineering, China University of Mining and Technology (Beijing), Beijing 100083, China

摘要

摘要: 在高地应力作用下，深部巷道围岩的变形破坏过程表现出了显著的时空效应，研究围岩塑性区的演化规律有助于支护方案的设计与围岩稳定性分析。深部围岩的变形破坏可以看作是其力学性质由固体向流体转换的过程，具有连续渐进相变的特点。结合统计物理学观点，从能量与变形的角度分析了深部围岩塑性区的演化规律：采用有限差分法求解了围岩塑性区演化的kink波解，分析了各参数对塑性区演化过程的影响规律；通过岩石密度–波速关系曲线以及质量守恒定律，建立了围岩波速与塑性应变之间的定量关系，可反演出围岩的变形与应力状态；通过与现场实测数据进行对比，发现kink波解可以很好地描述围岩塑性区的分布及演化规律，验证了理论模型的准确性，可为深部围岩的稳定性分析及灾害防控提供新的思路。
- 深部围岩 /
- 塑性区 /
- 演化过程 /
- 二级相变
Abstract: Under the action of high geo-stress, the deformation and fracture process of surrounding rock mass near deep tunnels is time-dependent. Studying the evolutionary laws of plastic zone in surrounding rock mass is helpful in the optimization of support schemes and analysis of tunnel stability. The deformation and fracture of surrounding rock mass, showing the characteristics of continuous phase transition, can be regarded as a transition process of mechanical properties from solid to liquid. Based on the statistical physics, the evolutionary process of plastic zone in surrounding mass is analyzed from the viewpoint of energy and deformation. The kink wave solution is solved by using the finite difference method, and the sensitivity analysis of parameters in the governing equation is performed. According to the laws of conservation of mass and the relationship between density and ultrasonic velocity, the quantitative relationship between ultrasonic velocity and plastic strains is established to back-reproduce the stress and deformation state of surrounding rock mass. Compared with the in-situ data, it is noted that the kink wave solution can describe the distribution and evolution of plastic zone well, which validates the accuracy of the proposed theoretical model. The results may provide a novel way for the stability analysis and disaster prevention of deep tunnels.
- deep surrounding rock mass /
- plastic zone /
- evolutionary process /
- second-order phase transition

HTML全文

图 1 超声波测孔曲线^[3]

Figure 1. Curves of ultrasonic hole logging^[3]

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图 2 围岩塑性区随时间的变化^[5]

Figure 2. Evolution of plastic zone of rock^[5]

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图 3 岩石破坏的基本模式^[16]

Figure 3. Basic fracturing model for rock samples^[16]

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图 4 深部围岩应力–应变曲线

Figure 4. Stress-strain curves of deep surrounding rock mass

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图 5 相曲线及其对应的解的形式

Figure 5. Phase curve and form of solution

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图 6 巷道壁围岩变形收敛曲线

Figure 6. Convergence of circular excavation

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图 7 巷道围岩塑性区演化过程

Figure 7. Evolution process of plastic zone

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图 8 序参量ψ随距离的分布规律

Figure 8. Distribution of order parameter ψ with distance

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图 9 不同时刻下巷道围岩塑性区分布

Figure 9. Distribution of plastic zone of surrounding rock mass at different time

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图 10 不同C '值时序参量ψ的演化过程

Figure 10. Evolution of order parameter ψ with different C '

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图 11 不同a值时序参量ψ的演化过程

Figure 11. Evolution of order parameter ψ with different a

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图 12 不同b值时序参量ψ的演化过程

Figure 12. Evolution of order parameter ψ with different b

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图 13 不同c值时序参量ψ的演化过程

Figure 13. Evolution of order parameter ψ with different c

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图 14 围岩塑性区实测数据与理论对比

Figure 14. Comparison between theoretical prediction and in-situ data

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表 1 围岩纵波波速实测数据^[5]

Table 1 In-situ ultrasonic data of plastic zone in surrounding rock mass^[5]

时间测点1 测点2 测点3 测点4 测点5 测点6

4月25日 3.17 3.55 4.08 3.91 3.94 3.96

4月29日 2.50 3.25 3.68 3.80 3.83 3.88

5月12日 2.51 2.50 2.79 4.04 3.75 3.76

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