基于惩罚浸没边界法的盾构隧道管片上浮机理研究

STUDY ON MECHANISM OF SEGMENT FLOATING IN SHIELD TUNNELS BASED ON PENALTY IMMERSED BOUNDARY METHOD

  • 摘要: 为研究盾构隧道管片上浮机理,提出了一种基于惩罚浸没边界法(PIBM)的盾构隧道管片上浮仿真方法。该方法采用同位网格有限体积法(FVM)离散同步注浆层流动控制方程,借助PIBM模拟管片与浆液间相互作用,利用刚体运动方程描述管片动力学响应,并采用PISO算法解耦流场压力和速度,实现了浆液-管片流固耦合系统的数值求解。通过与杭州地铁7号线和Sophia隧道两个工程案例的现场监测数据对比表明,计算得到管片上浮量和同步注浆层浆液压力分布与实测数据较吻合,相对误差分别在0.21%和0.128%以内,证明了该方法的适用性。在此基础上,对管片上浮过程进行了模拟分析,结果表明:在快速上浮阶段,管片受浮力驱动向上位移,迫使壁后浆液沿盾尾间隙向下流动并在底部聚集,流动轨迹由初始的 “分层差异流动”转变为“整体定向流动”,浆液压力呈现顶部最小、底部最大的水平对称分布特征。与现行等代层方法相比,该文方法能够动态捕捉浆液与管片间的相互作用过程,实时展现同步注浆层浆液流场变化及分布特征,为深入研究盾构隧道管片上浮机理奠定了基础。

     

    Abstract: To investigate the mechanism of segment floating in shield tunnels, a simulation method based on the Penalty Immersed Boundary Method (PIBM) is proposed. The method uses the collocated grid Finite Volume Method (FVM) to discretize the flow control equations of the synchronous grouting layer, simulates the interaction between segments and grout via PIBM, describes the dynamic response of segments using rigid body motion equations, and applies the PISO algorithm to decoupling flow field pressure and velocity. This enables numerical solution of the fluid-solid coupling system of grout and segments. Comparisons with field monitoring data from two engineering cases, i.e., Hangzhou Metro Line 7 and Sophia Tunnel, demonstrate that the calculated segment floating displacements and the grout pressure distributions within the synchronous grouting layer agree well with measured data, with relative errors within 0.21% and 0.128%, respectively. The results validate the applicability of the proposed method. Furthermore, a simulation analysis of the segment floating process reveals that during the rapid floating stage, segments are driven upward by buoyancy. This forces the grout behind the lining to flow downward along the shield tail gap and accumulate at the bottom. The flow trajectory transitions from initial "stratified differential flow" to "overall directional flow," and the grout pressure exhibits a horizontally symmetric distribution with the minimum pressure at the top and the maximum pressure at the bottom. Compared with the conventional equivalent layer method, the proposed method dynamically captures the interaction process between grout and segments, visually presenting the real-time changes and distribution characteristics of the grout flow field in the synchronous grouting layer. This study provides a foundation for in-depth investigations into the mechanism of segment floating in shield tunnels.

     

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