隧道围岩变形及支护刚度三维分析模型研究
发布时间：2018-11-19 11:56
【摘要】：鉴于既有力学模型在分析三维隧道施工力学问题时存在精度不高、计算资源要求高和计算时效不能满足工程要求等诸多困难,将隧道围岩视为半无限大或无限大弹性体,以作用于洞壁和掌子面处的等效作用力模拟隧道开挖效应,建立了一种深埋圆形隧道的三维分析模型.基于Mindlin解和Kelvin解分别推导了掌子面在洞口附近和掌子面远离洞口两种工况下围岩位移的积分计算公式,并编制了相应的计算程序,然后将待开挖介质视为"支护体",通过刚度分析将支护反力引入力学模型,推导了围岩变形的求解方程,可以快速计算隧道围岩变形场和围岩对支护结构刚度需求的量化值.研究结果表明:两种工况下围岩位移的分布规律基本一致,掌子面距离洞口较近时,隧道纵剖面围岩轴向位移最大值的解析和数值结果分别为6.1 mm和5.5 mm,隧道横截面掌子面处径向位移最大值分别为2.4 mm和2.6 mm,误差分别为9.8%和8.3%;在掌子面距离洞口较远的工况下,隧道纵剖面围岩轴向位移最大值分别为6.0 mm和5.7 mm,误差为5.0%;对于任选的一组隧道围岩和支护结构参数,考虑支护反力后计算得到的围岩纵向变形与数值分析结果吻合较好,超前位移分别为3.6 mm和3.0 mm,最终位移分别为9.1 mm和8.5 mm,误差分别为16.7%和6.6%;大岗山隧道2#压力管道的超期变形的计算结果和监测结果分别为0.4 mm和0.4 mm,最终变形分别为1.0 mm和1.1 mm,误差分别为0和10%.基于变形控制标准和新建力学模型可对围岩的刚度需求进行量化计算并指导支护结构设计参数的确定.
[Abstract]:In view of the difficulties of the existing mechanical model in analyzing the mechanical problems of 3D tunnel construction, such as low precision, high computational resource requirements, and the calculation time can not meet the engineering requirements, the surrounding rock of the tunnel is regarded as a semi-infinite or infinite elastic body. Based on the equivalent force acting on the wall and face of the tunnel to simulate the tunnel excavation effect, a three-dimensional analysis model of the deep buried circular tunnel is established. Based on the Mindlin solution and the Kelvin solution, the integral calculation formulas of surrounding rock displacement of the face near the hole and the face far away from the hole are derived, and the corresponding calculation program is worked out, and then the medium to be excavated is regarded as a "supporting body". Through stiffness analysis, the supporting reaction force is introduced into the mechanical model, and the solving equation of surrounding rock deformation is deduced, which can quickly calculate the quantitative value of tunnel surrounding rock deformation field and the requirement of surrounding rock to the stiffness of supporting structure. The results show that the distribution of displacement of surrounding rock is basically the same under two working conditions. When the face is close to the hole, the analytical and numerical results of the maximum axial displacement of surrounding rock in longitudinal section of tunnel are 6.1 mm and 5.5 mm, respectively. The maximum radial displacement at the face of cross section is 2.4 mm and 2.6 mm, respectively, and the error is 9.8% and 8.3% respectively. The maximum axial displacement of surrounding rock in longitudinal section of tunnel is 6.0 mm and 5.7 mm, respectively under the condition that the face of the tunnel is far away from the opening of the tunnel. For the selected parameters of surrounding rock and supporting structure of tunnel, the longitudinal deformation of surrounding rock calculated after considering the support reaction is in good agreement with the numerical analysis results, and the advance displacement is 3.6 mm and 3.0 mm, respectively. The final displacement is 9.1 mm and 8.5 mm, error is 16.7% and 6.6%, respectively. The calculated results and monitoring results of the pressure pipeline in Dagangshan Tunnel are 0.4 mm and 0.4 mm, respectively. The final deformation is 1.0 mm and 1.1 mm, respectively. The error is 0 and 10, respectively. Based on the deformation control standard and the new mechanical model, the stiffness requirement of surrounding rock can be calculated quantitatively and the design parameters of supporting structure can be determined.
【作者单位】： 北京交通大学城市地下工程教育部重点实验室;北京市安全生产科学技术研究院;北京京投城市管廊有限责任公司;北京市市政工程研究院;
【基金】：国家自然科学基金重点项目(U1234210,51134001)
【分类号】：U451.2
，
本文编号：2342238
[Abstract]:In view of the difficulties of the existing mechanical model in analyzing the mechanical problems of 3D tunnel construction, such as low precision, high computational resource requirements, and the calculation time can not meet the engineering requirements, the surrounding rock of the tunnel is regarded as a semi-infinite or infinite elastic body. Based on the equivalent force acting on the wall and face of the tunnel to simulate the tunnel excavation effect, a three-dimensional analysis model of the deep buried circular tunnel is established. Based on the Mindlin solution and the Kelvin solution, the integral calculation formulas of surrounding rock displacement of the face near the hole and the face far away from the hole are derived, and the corresponding calculation program is worked out, and then the medium to be excavated is regarded as a "supporting body". Through stiffness analysis, the supporting reaction force is introduced into the mechanical model, and the solving equation of surrounding rock deformation is deduced, which can quickly calculate the quantitative value of tunnel surrounding rock deformation field and the requirement of surrounding rock to the stiffness of supporting structure. The results show that the distribution of displacement of surrounding rock is basically the same under two working conditions. When the face is close to the hole, the analytical and numerical results of the maximum axial displacement of surrounding rock in longitudinal section of tunnel are 6.1 mm and 5.5 mm, respectively. The maximum radial displacement at the face of cross section is 2.4 mm and 2.6 mm, respectively, and the error is 9.8% and 8.3% respectively. The maximum axial displacement of surrounding rock in longitudinal section of tunnel is 6.0 mm and 5.7 mm, respectively under the condition that the face of the tunnel is far away from the opening of the tunnel. For the selected parameters of surrounding rock and supporting structure of tunnel, the longitudinal deformation of surrounding rock calculated after considering the support reaction is in good agreement with the numerical analysis results, and the advance displacement is 3.6 mm and 3.0 mm, respectively. The final displacement is 9.1 mm and 8.5 mm, error is 16.7% and 6.6%, respectively. The calculated results and monitoring results of the pressure pipeline in Dagangshan Tunnel are 0.4 mm and 0.4 mm, respectively. The final deformation is 1.0 mm and 1.1 mm, respectively. The error is 0 and 10, respectively. Based on the deformation control standard and the new mechanical model, the stiffness requirement of surrounding rock can be calculated quantitatively and the design parameters of supporting structure can be determined.
【作者单位】： 北京交通大学城市地下工程教育部重点实验室;北京市安全生产科学技术研究院;北京京投城市管廊有限责任公司;北京市市政工程研究院;
【基金】：国家自然科学基金重点项目(U1234210,51134001)
【分类号】：U451.2
，
本文编号：2342238
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