在流变岩体中进行隧道施工时,既有隧道与新建隧道的相互作用将使围岩应力、位移分布与单隧道问题有明显不同,且与时间相关。针对黏弹性岩体中深埋双圆形隧洞考虑施工顺序问题,用复变函数方法、Laplace变换、黏弹性叠加关系导出两隧道周边开挖增量位移和应力场的求解方法和理论解答,并与有限元解进行了比对。根据解答分析了既有和新建隧道孔边增量位移与全应力分布特点;隧道周边增量位移随时间的变化;周边位移随隧道间距的变化规律。可用于黏弹性岩体中双圆形隧道顺序开挖的施工分析。相比数值方法,理论解可更方便地进行参数分析和初步设计。
Owing to the interaction between the existing and new excavation tunnels in rheological rock, the distributions of stresses and displacements around twin tunnels are time-dependent and significantly different from thoes of single tunnel. For deeply buried twin circular tunnels sequentially excavated in viscoelastic rock, the complex variable function method, Laplace transform and superposition principle for viscoelastic cases are used in the derivation of excavation-induced displacements and stresses aroUnd tunnels. The solution is validated by FEM method through an example. Good agreement is demonstrated between the analytical and numerical solutions. Based on the analytical solutions, the analysis of induced displacements and total stresses distribution around the existing and new excavation tunnels, the variation of induced displacements versus time and the distance between tunnels are carried out. The solutions presented herein, which can be applied more conveniently in preliminary design and parametric investigation than numerical method, can be used to analyze the sequential excavation of twin tunnels in viscoelastic rock mass.