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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. 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 Huaning1 2, XIAO Guo2, JIANG Mingjing1 3   

  1. 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: 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