深部隧道力学分析的离散元与理论解分区耦合方法初探

doi:10.7522/j.issn.1000-0240.2016.0097

冰川冻土 ›› 2016, Vol. 38 ›› Issue (4): 867-874.doi: 10.7522/j.issn.1000-0240.2016.0097

• 岩土本构模型与参数研究 • 下一篇

深部隧道力学分析的离散元与理论解分区耦合方法初探

王华宁^{1 2}, 肖果², 蒋明镜^{1 3}

1. 同济大学土木工程防灾国家重点实验室, 上海 200092;
2. 同济大学航空航天与力学学院, 上海 200092;
3. 同济大学土木工程学院地下建筑与工程系, 上海 200092

收稿日期:2016-01-25 修回日期:2016-07-26 出版日期:2016-08-25 发布日期:2016-09-19
作者简介:王华宁(1975-),女,山东济南人,教授,2003年在同济大学获博士学位,现从事岩土工程中数值与解析方法的研究.E-mail:wanghn@tongji.edu.cn
基金资助:
中央高校基本科研业务费专项资金-学科交叉类项目；国家自然科学基金项目（11572228）；国家重点基础研究发展计划（973计划）项目（2014CB046901）资助

Preliminary study of coupled DEM-analytical method in analyses of deeply buried tunnel excavation

WANG Huaning^{1 2}, XIAO Guo², JIANG Mingjing^{1 3}

1. State Key Lab of Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China;
2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;
3. Department of Geotechnical Engineering, School of Civil Engineering, Tongji University, Shanghai 200092, China

Received:2016-01-25 Revised:2016-07-26 Online:2016-08-25 Published:2016-09-19

摘要/Abstract

摘要： 离散单元法适合室内试验和局部小尺度问题的模拟，但在分析隧道开挖等大尺度问题时计算复杂且耗时.为拓展离散元在大尺度问题分析中的适用性，尝试将离散元与理论解分区耦合.针对深埋圆形隧道围岩开挖过程，采用离散元模拟内部近孔口处围岩，外部采用理论解，耦合边界上使用迭代算法，控制收敛以保证力与位移连续条件，在弹性阶段范围内对两区域进行耦合以分析解法的适用性和误差.针对隧洞有、无内压两类算例，采用该分区耦合方法经15步左右迭代收敛，所得边界位移与理论解分别相差1.86%、3.2%；所得离散元结果与理论解对比良好：位移误差随角度有关、最大处在13.5%以内，应力误差除在少量部位为15%左右外，其余各处在8.6%以内.据此表明，该方法具有相当的精度及可行性.

关键词: 离散元法, 理论解, 围岩开挖, 分区耦合

Abstract: Distinct element method (DEM) is suitable in simulations of laboratory test and local small-scale problem. As for large scale problems including tunnel excavation, DEM simulation could be complex and time consuming. In order to expand the applicability of DEM in large scale analyses, acoupled DEM-analytical solution methodis proposed. So as to study the feasibility and error of the coupled method, the excavation of a deeply buried circular tunnel is analyzed during the elastic stage. The surrounding rock which nears the tunnel is analyzed by DEM, and the displacement and stresses of far field area are obtained by analytical solutions. Iteration procedure is used to ensure the continuity of stress and displacement along coupled boundary. Tunnels with and without inner-pressure are both analyzed as two cases. Generally, after 15 iterations, the difference between the resulting boundary displacement and the theoretical solution were 1.86% and 3.2% for two cases, respectively.Results of the DEM model comparing with the theoretical solution arefine: the errors of the displacement are related with the angle and the largest one is less than 13.5%; the errors of stress in some points are about 15% and the rest are within around 8.6%. It is shown that the coupled method has considerable accuracy and feasibility in mechanical analysis of tunneling.

Key words: distinct element method, analytical solution, tunnel excavation, coupled method

中图分类号:

U451+.2

王华宁, 肖果, 蒋明镜. 深部隧道力学分析的离散元与理论解分区耦合方法初探[J]. 冰川冻土, 2016, 38(4): 867-874.

WANG Huaning, XIAO Guo, JIANG Mingjing. Preliminary study of coupled DEM-analytical method in analyses of deeply buried tunnel excavation[J]. JOURNAL OF GLACIOLOGY AND GEOCRYOLOGY, 2016, 38(4): 867-874.

参考文献

[1] Cai Meifeng. Rock mechanics and engineering[M]. Beijing: Science Press, 2002. [蔡美峰. 岩石力学与工程[M]. 北京: 科学出版社, 2002.]
[2] Chen Honglei, Gao Wei, Li Ning, et al. Analysis of weak interface between the actual holes in deep frozen shaft temperature field[J]. Journal of Glaciology and Geocryology, 2015, 37(2): 434-439. [陈红蕾, 高伟, 李宁, 等. 深冻结井筒温度场成孔弱界面分析[J]. 冰川冻土, 2015, 37(2): 434-439.]
[3] Wen Lei, Li Xibing, Yin Yanbo, et al. Study of physico-mechanical properties of granite porphyry and limestone in slopes of open-pit metal mine under freezing-thawing cycles and their application[J]. Journal of Glaciology and Geocryology, 2014, 36(3): 632-639. [闻磊, 李夕兵, 尹彦波, 等. 冻融循环作用下花岗斑岩和灰岩物理力学性质对比分析及应用研究[J]. 冰川冻土, 2014, 36(3): 632-639.]
[4] Zhou Zhidong, Liu Wu. Analysis of the influences of freezing-thawing action on rock slope stability of water conservancy engineering in high cold areas[J]. Journal of Glaciology and Geocryology, 2015, 37(5): 1268-1274. [周志东, 刘武. 高原寒区冻融作用对水利工程基岩边坡稳定性影响分析[J]. 冰川冻土, 2015, 37(5): 1268-1274.]
[5] Zhou Xianqi, Xu Weiya, Niu Xinqiang, et al. A review of distinct element method researching progress and application[J]. Rock and Soil Mechanics, 2007, 28(S1): 408-416. [周先齐, 徐卫亚, 钮新强, 等. 离散单元法研究进展及应用综述[J]. 岩土力学, 2007, 28(S1): 408-416.]
[6] Xu Shuang, Zhu Fusheng, Zhang Jun. A overview of the discrete element method and its coupling algorithms[J]. Mechanics in Engineering, 2013, 35(1): 8-14. [徐爽, 朱浮声, 张俊. 离散元法及其耦合算法的研究综述[J]. 力学与实践, 2013, 35(1): 8-14.]
[7] Wellmann C, Wriggers P A. Two-scale model of granular materials[J]. Computer Methods in Applied Mechanics and Engineering, 2012, 205/206/207/208(1): 46-58.
[8] Villard P, Chevalier B, Le H B, et al. Coupling between finite and discrete element methods for the modelling of earth structures reinforced by geosynthetic[J]. Computers and Geotechnics, 2009, 36(5): 709-717.
[9] Qiu Changlin, Wang Jing, Yan Shuwang. Coupled DEM-FEM analysis of submarine pipeline with rock armor berm underimpacting load[J]. Chinese Journal of Geotechnical Engineering, 2015, 37(11): 2088-2093. [邱长林, 王菁, 闫澍旺. 冲击荷载作用下有碎石保护结构的海底管线DEM-FEM联合分析研究[J]. 岩土工程学报, 2015, 37(11): 2088-2093.]
[10] Azevedo N M, Lemos J V. Hybrid discrete element/finite element method for fracture analysis[J]. Computer Methods in Applied Mechanics and Engineering, 2006, 195(33/34/35/36): 4579-4593.
[11] Chen S G, Zhao J. Modeling of tunnel excavation using a hybrid DEM/BEM method[J]. Computer-Aided Civiland Infrastructure Engineering, 2002, 17(5): 381-386.
[12] Jin Feng, Jia Weiwei, Wang Guanglun. Coupling model of distinct element-boundary element[J]. Journal of Hydraulic Engineering, 2001(1): 23-27. [金峰, 贾伟伟, 王光纶. 离散元-边界元动力耦合模型[J]. 水利学报, 2001(1): 23-27.]
[13] Jin Feng, Wang Guanglun, Jia Weiwei. Application of distinct element-boundary element coupling model in underground structure dynamic analysis[J]. Journal of Hydraulic Engineering, 2001(2): 24-28. [金峰, 王光纶, 贾伟伟. 离散元-边界元动力耦合模型在地下结构动力分析中的应用[J]. 水利学报, 2001(2): 24-28.]
[14] Mirzayee M, Khaji N, Ahmadi M T. A hybrid distinct element-boundary element approach for seismic analysis of cracked concrete gravity dam-reservoir systems[J]. Soil Dynamics and Earthquake Engineering, 2011, 31(10): 1347-1356.
[15] Zhou Jian, Deng Yibing, Jia Mincai, et al. Coupling method of two-dimensional discontinuum-continuum based oncontact between particle and element[J]. Chinese Journal of Geotechnical Engineering, 2010, 33(10): 1479-1484. [周健, 邓益兵, 贾敏才, 等. 基于颗粒单元接触的二维离散-连续耦合分析方法[J]. 岩土工程学报, 2010, 33(10): 1479-1484.]
[16] Carranza-Torres C, Rysdahl B, Kasim M. On the elastic analysis of a circular lined tunnel considering the delayed installation of the support[J]. International Journal of Rock Mechanics and Mining Sciences, 2013(61): 57-85.
[17] Carranza-Torres C, Fairhurst C. The elasto-plastic response of underground excavations in rock masses that satisfy the Hoek-Brown failure criterion[J]. International Journal of Rock Mechanics and Mining Sciences, 1999, 36(6): 777-809.
[18] Fahimifar A, Tehrani F M, Hedayat A, et al. Analytical solution for the excavation of circular tunnels in a visco-elastic Burger's material under hydrostatic stress field[J]. Tunnelling and Underground Space Technology, 2010, 25(4): 297-304.
[19] Xu Zhilun. Concise course in elasticity[M]. Beijing: Higher Education Press, 2013. [徐芝纶. 弹性力学简明教程[M]. 北京: 高等教育出版社, 2013.]
[20] Chong W L, Haque A, Gamage R P, et al. Modelling of intact and jointed mudstone samples under uniaxial and triaxial compression[J]. Arabian Journal of Geosciences, 2013, 6(5): 1639-1646.

深部隧道力学分析的离散元与理论解分区耦合方法初探

Preliminary study of coupled DEM-analytical method in analyses of deeply buried tunnel excavation

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 1

Metrics

本文评价

推荐阅读 10