Journal of Jilin University(Earth Science Edition) ›› 2018, Vol. 48 ›› Issue (1): 213-225.doi: 10.13278/j.cnki.jjuese.20160331

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Numerical Analysis on Influence of Boundary Conditions on Seismic Dynamic Response of Underground Utility Tunnels

Shi Youzhi1,2, Chai Jianfeng3, Lin Shuzhi4, Li Xiufang1   

  1. 1. School of Civil Engineering and Architecture, Xiamen University of Technology, Xiamen 361024, Fujian, China;
    2. School of Naval Architecture, Ocean & Civil Engineering, Shanghai Jiaotong University, Shanghai 200240, China;
    3. Technology Center, State Grid Xinyuan Company Ltd, Beijing 100161;
    4. Xiamen Construction Bureau, Xiamen 361003, Fujian, China
  • Received:2017-06-21 Online:2018-01-26 Published:2018-01-26
  • Supported by:
    Supported by Natural Science Foundation of Fujian Province (2016J01271) and Science and Technology Project of Housing and Urban-Rural Development and Department of Fujian Province (2015-K-38)

Abstract: To explore the influence of a utility tunnel's dynamic boundary conditions on its seismic dynamic response, the authors targeted at the typical soil layer in Xiamen, China, and analyzed the site response under the effects of Rayleigh waves and shear waves through building a dynamic finite element (FE) numerical model, adopting the hardening soil model with small strain stiffness (HSS) as the constitutive model of soil, and constructing the three artificial boundary conditions, namely fixed boundary, viscous boundary, and free field. After evaluating the effectiveness of the three boundary conditions in terms of deformation characteristics and pseudo-spectral acceleration (PSA), the authors proposed an optimized dynamic boundary combination conditions in the seismic dynamic analysis of utility tunnels. The research results showed that under the effects of seismic waves (bottom horizontal acceleration time history) and Rayleigh waves, a viscous boundary condition only touched upon the absorption of external traveling waves while leaving out of the problem of seismic input and the elastic resilience of semi-infinite media outside the boundary, thus imposed restrictions on the soil mass's horizontal displacement within the model, and which resulted in a smaller horizontal displacement; under a free-field boundary condition, not the foregoing restrictions but the strong oscillations occurred; under the optimized dynamic boundary combination conditions of the excitation-applied side adopted fixed boundary, the excitation-free side viscous boundary, and the rest sides free-field boundary, there was less dynamic response cross interference under the effects of Rayleigh waves and bottom acceleration time history, so that the signals could be treated by linear superposition. In the meantime, the viscous boundary could absorb the dynamic response induced by seismic waves to a certain extent, and the free-field boundary could limit the deformation of the dynamic response induced by Rayleigh waves to some degree. The research findings are expected to provide a reference for an elaborate numerical simulation of the seismic response of underground utility tunnels and their seismic design.

Key words: underground pipe gallery, earthquake, Rayleigh wave, dynamic boundary, numerical analysis

CLC Number: 

  • TU435
[1] 城市综合管廊工程技术规范: GB 50838-2015[S]. 北京: 中国建筑工业出版社, 2015. Technical Code for Urban Utility Tunnel Engineering: GB 50838-2015[S]. Beijing: China Architecture & Building Press, 2015.
[2] 庄海洋, 程绍革, 陈国兴. 阪神地震中大开地铁车站震害机制数值仿真分析[J]. 岩土力学, 2008, 29(1): 245-250. Zhuang Haiyang, Cheng Shaoge, Chen Guoxing. Numerical Simulation and Analysis of Earthquake Damages of Dakai Metro Station Caused by Kobe Earthquake[J]. Rock & Soil Mechanics, 2008, 29(1): 245-250.
[3] Wolf J P, Song C. Some Cornerstones of Dynamic Soil-Structure Interaction[J]. Engineering Structures, 2002, 24(1): 13-28.
[4] 邱流潮, 金峰. 地震分析中人工边界处理与地震动输入方法研究[J]. 岩土力学, 2006, 27(9): 1501-1504. Qiu Liuchao, Jin Feng. Study on Method of Earthquake Input and Artificial Boundary Conditions for Seismic Soil-Structure Interaction Analysis[J]. Rock & Soil Mechanics, 2006, 27(9): 1501-1504.
[5] Hatzigeorgiou G D, Beskos D E. Soil-Structure In-teraction Effects on Seismic Inelastic Analysis of 3-D Tunnels[J]. Soil Dynamics and Earthquake Engineering, 2010, 30(9): 851-861.
[6] Ghandil M, Behnamfar F. The Near-Field Method for Dynamic Analysis of Structures on Soft Soils Including Inelastic Soil-Structure Interaction[J]. Soil Dynamics and Earthquake Engineering, 2015,75: 1-17
[7] 张波, 李术才, 杨学英,等. 三维黏弹性介质人工边界研究[J]. 岩土力学, 2009, 30(11):3469-3475. Zhang Bo, Li Shucai, Yang Xueying, et al. Study of Three Dimensional Viscoelastic Medium Artificial Boundary[J]. Rock & Soil Mechanics, 2009, 30(11):3469-3475.
[8] 高峰, 关宝树. 沉管隧道三维地震反应分析[J]. 兰州交通大学学报, 2003, 22(1): 6-10. Gao Feng, Guan Baoshu. Three-Dimensional Seismic Response Analysis of Immersed Tunnel[J]. Journal of Lanzhou Jiaotong University, 2003, 22(1): 6-10.
[9] 孙海峰, 景立平, 孟宪春,等. ABAQUS中动力问题边界条件的选取[J]. 地震工程与工程振动, 2011, 31(3):71-76. Sun Haifeng, Jing Liping, Meng Xianchun, et al. The Selection of Boundary Conditions in Dynamic Problems by Using ABAQUS[J]. Journal of Earthquake Engineering & Engineering Vibration, 2011, 31(3): 71-76.
[10] 刘志强, 孙建国, 孙辉, 等. 曲线坐标系下的完全匹配层吸收边界条件[J/OL]. 吉林大学学报(地球科学版) (2017-03-23)[2017-09-28]. http://kns.cnki.net/kcms/detail/22.1343.p.20170323.1418.002.html. Liu Zhiqiang, Sun Jianguo, Sun Hui, et al. A Perfectly Matched Layer Absorbing Boundary Condition Under the Curvilinear Coordinate System[J/OL]. Journal of Jilin University (Earth Science Edition), (2017-03-23)[2017-09-28]. http://kns.cnki.net/kcms/detail/22.1343.p.20170323.1418.002.html.
[11] Jiao Y Y, Zhang X L, Zhao J, et al. Viscous Bou-ndary of DDA for Modeling Stress Wave Propagation in Jointed Rock[J]. International Journal of Rock Mechanics and Mining Sciences, 2007, 44(7): 1070-1076.
[12] Deeks A, Randolph M. Axisymmetric Time-Domain Transmitting Boundaries[J]. Journal of Engineering Mechanics, 1994, 120(1):25-42.
[13] 刘晶波, 吕彦东. 结构-地基动力相互作用问题分析的一种直接方法[J]. 土木工程学报, 1998, 31(3):55-64. Liu Jingbo, Lü Yandong. A Direct Method for Analysis of Dynamic Soil-Structure Interaction[J]. China Civil Engineering Journal, 1998, 31(3):55-64.
[14] 刘晶波, 王振宇, 杜修力,等. 波动问题中的三维时域粘弹性人工边界[J]. 工程力学, 2005, 22(6):46-51. Liu Jingbo, Wang Zhenyu, Du Xiuli, et al. Three-Dimensional Visco-Elastic Artificial Boundaries in Time Domain for Wave Motion Problems[J]. Engineering Mechanics, 2005, 22(6):46-51.
[15] 谷音, 刘晶波, 杜义欣. 三维一致粘弹性人工边界及等效粘弹性边界单元[J]. 工程力学, 2007, 24(12): 31-37. Gu Yin, Liu Jingbo, Du Yixin. 3D Consistent Viscous-Spring Artificial Boundary and Viscous-Spring Boundary Element[J]. Engineering Mechanics, 2007, 24(12): 31-37.
[16] 张燎军, 张慧星, 王大胜,等.黏弹性人工边界在ADINA中的应用[J]. 世界地震工程, 2008, 24(1): 12-16. Zhang Liaojun, Zhang Huixing, Wang Dasheng, et al. The Application of Artificial Viscous-Spring Boundary in ADINA[J]. World Earthquake Engineering, 2008, 24(1): 12-16.
[17] 蒋新新, 李建波, 林皋. 边坡场地条件下粘弹性人工边界模型的地震输入模式研究[J]. 世界地震工程, 2013, 29(4): 126-132. Jiang Xinxin, Li Jianbo, Lin Gao. Study on the Seismic Input Mode of Viscoelastic Artificial Boundary Under the Condition of Slope Site[J]. World Earthquake Engineering, 2013, 29(4): 126-132.
[18] 朱志辉, 余志武, 吴方伯,等. 考虑衰减波特性的透射边界及其实现[J]. 湖南大学学报(自然科学版), 2007, 34(12):1-5. Zhu Zhihui, Yu Zhiwu, Wu Fangbo, et al. Research on the Artificial Boundary in the Soil-Structure Dynamic Interaction[J]. Journal of Hunan University (Natural Sciences), 2007, 34(12):1-5.
[19] Liu J, Lu Y. A Direct Method for Analysis of Dynamic Soil-Structure Interaction Based on Interface Idea[J]. Developments in Geotechnical Engineering, 1998, 83(3): 261-276.
[20] 权登州, 王毅红, 井彦林, 等. 黄土区地铁车站动力分析中的无限元传输边界[J]. 西安建筑科技大学学报(自然科学版), 2015, 47(4):537-542. Quan Dengzhou, Wang Yihong, Jing Yanlin, et al. Infinite-Element Transmitting Boundary in Dynamic Analysis of Subway Station in Loess Area[J].Journal of Xi'an University of Architecture & Technology (Natural Science Edition), 2015, 47(4):537-542.
[21] Seed H B, Martin P P, Lysmer J. The Generation and Dissipation of Pore Water Pressures During Soil Liquefaction[R]. Oakland: University of California, 1975.
[22] 付晓东, 盛谦, 张勇慧. DDA方法中的人工边界问题研究[J]. 岩石力学与工程学报, 2015(5):986-993. Fu Xiaodong, Sheng Qian, Zhang Yonghui. Investigation on Artificial Boundary Problem in Discontinuous Deformation Analysis Method[J]. Chinese Journal of Rock Mechanics and Engineering, 2015, 34(5): 986-993.
[23] 铁路工程抗震设计规范GB50111-2006[S]. 北京: 中国计划出版社, 2006. Code for Seismic Design of Railway Engineering: GB50111-2006[S]. Beijing: China Planning Press, 2006.
[24] 建筑抗震设计规范GB50011-2001[S]. 北京: 中国建筑工业出版社, 2001. Code for Seismic Design of Building GB50011-2010[S]. Beijing: China Architecture & Building Press,2001.
[25] Lamb H. On the Propagation of Tremors over the Surface of an Elastic Solid[J]. Philosophical Transactions of the Royal Society of London, 1904, 203,359:1-42.
[26] Shi Youzhi. Contribution of Rayleigh Damping Para-meters to Site Response Under Influence of Rayleigh Wave[J]. Revista Tecnica De La Facultad De Ingenieria Universidad Del Zulia, 2016, 39(6): 48-59.
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