Grouting lifting is the effective approach for treating differential settlement of existing tunnels, but it easily deteriorates the tunnel structure again and seriously threatens the operational safety of urban rail transit. Aiming to solve the above problem, this paper considers the interaction between the tunnel and the foundation, and establishes a series of analytical solutions of the stress, strain, axial force, and bending moment of the tunnel under single point grouting. Based on the characteristics of shield tunnel correction engineering and the analytical solution under single point grouting, the equation of the internal force and deformation of tunnel structure under multi-point grouting considering different grouting angles and different strata is obtained. The grouting correction engineering case for Shenzhen Metro Line 1 shows that the analytical solution to the displacement of the tunnel structure is well matched with the measured displacement of the tunnel structure is well matched with the measured data of the case and the difference is less than 15 %. The parameter analysis results indicate that the main loaded area of the tunnel under single point grouting is related to the stratum, and the main loaded area of the soft soil stratum is $-42.4^{°}+42.4^{°}$ around the grouting point. Convergence deformation of the tunnel under multi-point grouting reaches the maximum value at the diameter passing through the center of the grouting zone and the minimum value at the diameter which is perpendicular to the former. Under the condition of limiting horizontal convergence deformation, the reasonable grouting angle range of the multi-point grouting zone is about ${120}^{°}{150}^{°}$. This paper provides a theoretical basis that can immediately evaluate the mechanical structure performance and to determine whether to impose greater pressure when the tunnel is continuously lifted.

注浆提升是治理既有隧道不均匀沉降的有效方法，但它容易使隧道结构再次恶化，严重威胁城市轨道交通的运营安全。针对上述问题，本文考虑隧道与地基的相互作用，建立了单点注浆下隧道应力、应变、轴力、弯矩的一系列解析解。根据盾构隧道纠偏工程的特点，结合单点注浆下的解析解，得到考虑不同注浆角度、不同地层的多点注浆下隧道结构内力与变形方程。深圳地铁1号线注浆修正工程实例表明，隧道结构位移解析解与实测隧道结构位移数据吻合较好，误差小于15 %。参数分析结果表明，单点注浆隧道的主要受载面积与地层有关，软土地层的主要受载面积为$-42。4^{°}+42。4^{°}$灌浆点周围。多点注浆隧道的收敛变形在穿过注浆区中心的直径处达到最大值，在垂直于注浆区中心的直径处达到最小值。在限制水平收敛变形的情况下，多点注浆区的合理注浆角度范围约为${120}^{°}{150}^{°}$。该文为隧道连续吊装时能够立即评估力学结构性能并确定是否施加更大的压力提供了理论依据。