基坑开挖对邻近隧道纵向位移影响的计算方法

基坑开挖卸荷会对邻近隧道产生影响,因此有必要对隧道的变形进行预测,确保隧道正常运行。针对目前计算模型的分析方法未考虑基坑壁应力卸荷对隧道位移的影响,以及有限元分析过程较为复杂繁琐,提出采用Mindlin解计算基坑壁与坑底卸荷的附加应力。然后将隧道结构视为弹性地基无限长梁,将开挖引起的附加应力施加于隧道结构上,建立隧道结构纵向变形方程,从而得到隧道位移及内力的计算公式。最后,将计算方法与数值模拟算例、工程实测进行对比分析,计算结果与其较为吻合。

Calculation of Influence on Longitudinal Deformation of Adjacent Tunnels Due to Excavation

Unloading of excavation of foundation pit has influence on adjacent tunnels, therefore it is important to predict the deformation of metro tunnels to ensure the operation of tunnel. The displacement effect due to the surrounding wall soil unloading of adjacent excavation was not considered by the theoretical analysis method, and the analysis procedure of FEM was usually too complicated to get a satisfied result, so the horizontal and vertical additional stress were calculated by the Mindlin solutions. Furthermore, the tunnel structure was considered as the beam with infinite length. The additional stress was imposed on the Winkler model and the governing equation was built up on the adjacent tunnel structure. Finally, displacements and internal forces of existing tunnels were obtained. Compared with the numerical simulation and an engineering case, the results of the presented formula are in good agreement. It can provide certain theoretical and calculation basis for metro tunnels influenced by adjacent excavation.