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在流变岩土体中进行并行双线隧道施工时,隧道施工过程、布置方式对应力、位移的时空分布有显著影响。针对粘弹性岩土体中双向不等的应力作用下的双圆形隧洞顺序施工问题,本文推导得到了各施工时段开挖增量位移和应力的理论解。推导中利用Laplace变换给出粘弹性解答与弹性复位势的关系,并根据各时段受力情况,应用粘弹性叠加关系导出最终解答。理论解与相同条件下有限元解进行了比对,结果吻合得较好。根据解答分析了两隧道空间布置方式对应力和位移的影响,以及倾斜布置时侧压系数的影响。相比数值方法,理论解答可更方便地进行参数分析和初步设计。
During the construction of parallel double-track tunnels in rheological rock and soil, the construction process and arrangement of tunnel have a significant effect on the spatial and temporal distribution of stress and displacement. Aiming at the sequence construction of double circular tunnel under the effect of bidirectional unequal stress in viscoelastic rock and soil mass, the theoretical solution of incremental displacement and stress of excavation during each construction period is deduced. In the derivation, the relationship between viscoelastic solution and elastic reset potential is given by using Laplace transform. According to the stress in each time period, the final solution is derived by using the viscoelastic overlap relationship. The theoretical solution is compared with the finite element method under the same conditions, and the result is in good agreement. According to the solution, the influence of the spatial arrangement of the two tunnels on the stress and displacement as well as the influence of the lateral pressure coefficient when tilted are analyzed. Compared with numerical methods, theoretical solutions can be more convenient for parameter analysis and preliminary design.