多次爆炸载荷作用下浅埋隧道破坏过程的持续同调特征分析

刘小飞; 游世辉

doi:10.21656/1000-0887.400222

多次爆炸载荷作用下浅埋隧道破坏过程的持续同调特征分析

doi: 10.21656/1000-0887.400222

刘小飞¹,
游世辉²

¹湘潭大学土木工程与力学学院, 湖南湘潭 411105;²枣庄学院机电工程学院, 山东枣庄 277160)

基金项目: 国家自然科学基金（51375416）

详细信息

作者简介:
刘小飞（1994—），男，硕士生（E-mai: 773078501@qq.com）;游世辉（1962—），男，教授，博士生导师（通讯作者. E-mail: shihuiyou@hotmail.com）.

中图分类号: O302
计量
- 文章访问数: 1045
- HTML全文浏览量: 237
- PDF下载量: 222
- 被引次数: 0
出版历程
- 收稿日期: 2019-07-22
- 修回日期: 2020-02-26
- 刊出日期: 2020-11-01

Analysis on Persistent Homology Characteristics of Failure Processes of Shallow Buried Tunnels Under Multi-Time Explosions

LIU Xiaofei¹,
YOU Shihui²

¹College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, Hunan 411105, P.R.China;²School of Mechanical and Electrical Engineering, Zaozhuang University, Zaozhuang, Shandong 277160, P.R.China

Funds: The National Natural Science Foundation of China（51375416）

摘要

摘要: 浅埋隧道在多次爆炸载荷作用下的破坏特征是防护工程设计和评估的重要研究问题，发展适应浅埋特征安全预警方法具有重要意义.采用离散元法建立浅埋隧道力学模型，运用SaintVenant载荷等效原理将爆炸载荷看作一系列均匀作用在地表的动力，基于离散元法得到各次爆炸载荷作用后的动力响应和隧道围岩损伤演化过程，利用强度折减法得出隧道围岩的安全系数.引入持续同调理论，采用持续同调的数学方法对离散元模型在多次爆炸载荷作用下的破坏特征进行定量与定性分析.结果表明，持续同调的方法能准确反映隧道围岩的拓扑特征，其中1维条形码连通半径最大值能对隧道失稳进行有效预警.这为隧道安全设计与灾害预报研究提供了一种全新的数学方法.
- 持续同调 /
- 浅埋隧道 /
- 离散元 /
- 多次爆炸载荷
Abstract: The failure characteristics of shallow buried tunnels under multi-time explosions make an important research issue in the design and evaluation of protection engineering. It is of great significance to develop a method for early warning of the safety for shallow buried features. The discrete element method was used to establish the mechanical model for the shallow buried tunnel. With the Saint-Venant principle the blast loads were treated as a series of dynamic forces acting uniformly on the surface. Based on the discrete element method, the dynamic response under each blast load and the damage evolution process of the tunnel surrounding rock were obtained. The strength reduction method was used to calculate the safety factor of the surrounding rock. The persistent homology theory was introduced to quantitatively and qualitatively analyze the failure characteristics of the discrete element model under multi-time explosive loads. The results show that, the method of persistent homology can accurately reflect the topological characteristics of the surrounding rock. The maximum 1D barcode connection radius can effectively predict tunnel instability. The work provides a new mathematical method for tunnel safety design and disaster prediction research.
- persistent homology /
- shallow buried tunnel /
- discrete element /
- multi-time explosions

HTML全文

参考文献(21)

[1]	BULSON P S. Explosive Loading of Engineering Structures [M]. London: Spon Press, 1997.
[2]	张良, 管晓明, 张春巍, 等. 浅埋隧道爆破地下马蹄形管道的振动响应研究[J]. 爆破, 2019,36(2): 117-125.(ZHANG Liang, GUAN Xiaoming, ZHANG Chunwei, et al. Vibration response of horseshoe-shaped pipeline under tunnel blasting[J]. Blasting,2019,36(2): 117-125.(in Chinese))
[3]	李秀茹, 郭恩栋, 张文静, 等. 基于离散元法的爆炸载荷作用下深埋隧道失稳破坏模拟研究[J]. 灾害学, 2019,34(1): 87-93.(LI Xiuru, GUO Endong, ZHANG Wenjing, et al. Simulation study on the failure of deep tunnel under blasting load[J]. Journal of Catastrophology,2019,〖STHZ〗 34(1): 87-93.(in Chinese))
[4]	汪成兵. 均质岩体中隧道围岩破坏过程的实验与数值模拟[J]. 岩体力学, 2012,33(1): 103-108.(WANG Chengbing. Laboratory and numerical investigation on failure process of tunnel constructed in homogeneous rock[J]. Rock and Soil Mechanics,2012,33(1): 103-108.(in Chinese))
[5]	OSOULI A, BAJESTANI B M. The interplay between moisture sensitive roof rocks and roof falls in an Illinois underground coal mine[J]. Computers and Geotechnics,2016,80: 152-166.
[6]	SHREEDHARAN S, KULATILAKE P H S W. Discontinuum-equivalent continuum analysis of the stability of tunnels in a deep coal mine using the distinct element method[J]. Rock Mechanics and Rock Engineering,2016,49(5): 1903-1922.
[7]	张景亮, 鞠先孟. 持续同调在图像分类和识别中的应用[J]. 应用数学与计算数学学报, 2017,31(12): 494-508.(ZHANG Jingliang, ZHAI Xianmeng. Application of continuous coherence in image classification and recognition[J]. Communication on Applied Mathematics and Computation,2017,31(12): 494-508.(in Chinese))
[8]	HAJIJ M, WANG B, SCHEIDEGGER C, et al. Visual detection of structural changes in time-varying graphs using persistent homology[C]// 2018 IEEE Pacific Visualization Symposium (PacificVis) . Kobe, 2018: 125-134. DOI: 10.1109/PacificVis.2018.00024.
[9]	KRAMAR M, GOULLET A, KONDIC L, et al. Persistence of force networks in compressed granular media[J]. Physical Review E,2013, 87(4): 042207.
[10]	HIRAOKA Y, NAKAMURA T, HIRATA A, et al. Hierarchical structures of amorphous solids characterized by persistent homology[J]. Proceedings of the National Academy of Sciences,2016,113(26): 7035-7040.
[11]	NAKAMURA T, HIRAOKA Y, HIRATA A, et al. Description of medium-range order in amorphous structures by persistent homology[J]. Proceedings of the National Academy of Sciences,2016,113: 7035-7040. DOI: 10.1073/pnas.1520877113.
[12]	HIRATA A, MATSUE K, CHEN M W. Structural Analysis of Metallic Glasses With Computational Homology [M]. Springer, 2016.
[13]	ARDANZA-TREVIJANO S, ZURIGUEL I, AREVALO R, et al. Topological analysis of tapped granular media using persistent homology[J]. Physical Review E, 2014,89: 052212.
[14]	沈才华, 刘松玉, 童立元, 等. 公路隧道开挖的拓扑优化研究[J]. 公路工程, 2008,33(4): 70-74.(SHEN Caihua, LIU Songyu, TONG Liyuan, et al. Topological optimization of highway tunnel excavation[J]. Highway Engineering,2008,33(4): 70-74.(in Chinese))
[15]	来弘鹏, 谢永利, 杨晓华, 等. 软弱围岩公路隧道衬砌结构形式拓扑优化[J]. 公路, 2011(4): 203-207.(LAI Hongpeng, XIE Yongli, YANG Xiaohua, et al. Topological optimization of highway tunnel lining structure in weak surrounding rock[J]. Highway,2011(4): 203-207.(in Chinese))
[16]	王余岩. 节理岩体中大跨度隧道的离散元法分析[D]. 硕士学位论文. 重庆: 重庆大学, 2014.(WANG Yuyan. Discrete element analysis of the large-span tunnel in the jointed rock mass[D]. Master Thesis. Chongqing: Chongqing University, 2014.(in Chinese))
[17]	张玉成, 杨光华, 刘鹏, 等. 爆炸载荷在数值模拟中的等效施加方法研究[J]. 地下空间与工程学报, 2012,8(1): 56-64.(ZHANG Yucheng, YANG Guanghua, LIU Peng, et al. An equivalent approach for acting blasting load in dynamic numerical simulation of blasting vibration[J]. Chinese Journal of Underground Space and Engineering,2012,8(1): 56-64.(in Chinese))
[18]	MANOUCHEHRIAN A, CAI M. Analysis of rockburst in tunnels subjected to static and dynamic loads[J]. Journal of Rock Mechanics & Geotechnical Engineering,2017,9(6): 12-23.
[19]	章毅, 周布奎, 于潇, 等. 地面炸药库爆炸对地铁隧道的影响[J]. 防护工程, 2019,6(3): 33-37.(ZHANG Yi, ZHOU Bukui, YU Xiao, et al. Effect of accidental explosion of ground explosive depot on metro tunnel[J]. Protective Engineering,2019,6(3): 33-37.(in Chinese))
[20]	郑颖人, 邱陈瑜, 张红, 等. 关于土体隧洞围岩稳定性分析方法的探索[J]. 岩石力学与工程学报, 2008,27(10): 1968-1980.(ZHENG Yingren, QIU Chenyu, ZHANG Hong, et al. Exploration of stability analysis methods for surrounding rocks of soil tunnel[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(10): 1968-1980.(in Chinese))
[21]	李清龙. 缓倾岩层隧道塌方机理及治理措施研究[D]. 硕士学位论文. 成都: 成都理工大学, 2015.(LI Qinglong. Study on collapse mechanism and treatment measures of tunnel with gently inclined rock layer[D]. Master Thesis. Chengdu: Chengdu University of Technology, 2015.(in Chinese))

施引文献

资源附件(0)

访问统计

计量

文章访问数: 1045
HTML全文浏览量: 237
PDF下载量: 222
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

多次爆炸载荷作用下浅埋隧道破坏过程的持续同调特征分析

doi: 10.21656/1000-0887.400222

作者简介:
刘小飞（1994—），男，硕士生（E-mai: 773078501@qq.com）;游世辉（1962—），男，教授，博士生导师（通讯作者. E-mail: shihuiyou@hotmail.com）.

计量

Analysis on Persistent Homology Characteristics of Failure Processes of Shallow Buried Tunnels Under Multi-Time Explosions

计量

目录

留言板

多次爆炸载荷作用下浅埋隧道破坏过程的持续同调特征分析

doi: 10.21656/1000-0887.400222

作者简介: 刘小飞（1994—），男，硕士生（E-mai: 773078501@qq.com）;游世辉（1962—），男，教授，博士生导师（通讯作者. E-mail: shihuiyou@hotmail.com）.

计量

出版历程

Analysis on Persistent Homology Characteristics of Failure Processes of Shallow Buried Tunnels Under Multi-Time Explosions

计量

出版历程

目录

作者简介:
刘小飞（1994—），男，硕士生（E-mai: 773078501@qq.com）;游世辉（1962—），男，教授，博士生导师（通讯作者. E-mail: shihuiyou@hotmail.com）.