中文摘要：

基于Mindlin解，经数值积分求得盾构掘进时切口附加推力、盾壳对周围土体的摩擦力及同步注浆附加压力引起的地面竖向位移，并以杭州庆春路过江隧道盾构施工引起的地面实测位移对其进行验证。分析结果表明，基于Mindlin解求得的切口附加推力、盾壳摩擦力及同步注浆附加压力引起的地面位移，与地层损失沉降叠加，可用来预测盾构掘进引起的纵向地面隆陷；盾尾同步注浆所致横断面地面隆起符合高斯分布，考虑注浆所致地面隆起后的修正Peck公式，可预测盾构掘进所致地面隆起，并提高地面沉降参数反分析的精度。

英文摘要：

Additional thrust at the excavation face, friction force imposed on the around soils by shield skin and excess pressure of tail grouting can cause ground surface movements. Based on Mindlin solution, ground surface displacements induced by these three forces are calculated through numerical integration. The calculation results are verified by case studies of in-situ monitored ground surface movements in construction of Hangzhou Qingchun road river-crossing tunnel. The analysis results indicate that superposition of ground loss settlement and calculated movements due to above three forces based on Mindlin solution can be used to predict ground surface heave and subsidence induced by shield tunnelling. Ground surface heave of cross-section caused by shield tail synchronous grouting accords with Gaussian distribution. A modified Peck equation taking grouting impact into account is proposed. Compared with the conversional Peck method, modified Peck equation is able to predict ground surface heave induced by shield tunnelling; and the fitting parameters of ground surface subsidence through back analysis are more accurate.