侧向土体影响下盾构隧道引起上覆管线变形

目前盾构隧道开挖对邻近管线影响的理论研究一般基于Winkler地基模型和Pasternak地基模型，较少考虑精度更高的Kerr地基模型及管线侧向土体影响对管线变形的约束作用. 将管线简化成Euler-Bernoulli梁搁置在Kerr地基模型上，利用差分法得到盾构隧道引起上覆管线竖向位移半解析解，在此基础上进一步推导考虑管线侧向土体影响的Kerr地基模型差分解. 通过与已有工程案例和离心机数据对比，验证Kerr地基模型相比于其他地基模型的优越性，也验证了考虑管线侧向土体影响的Kerr地基模型计算结果更加符合实测数据. 参数分析表明, 随着隧道开挖地层损失率和土体弹性模量的增大，管线的竖向位移和弯矩均增大；随着管线与隧道夹角的增大，管线的竖向位移和弯矩均减小.

Deflection of overlying pipeline induced by shield tunneling considering effect of lateral soil

Studies on pipeline deformation caused by adjacent tunneling are generally based on Winkler foundation model and Pasternak foundation model, and few studies consider Kerr foundation model or the constraint effects of lateral soils beside pipeline. The pipeline was simplified as Euler-Bernoulli beam on the Kerr foundation model, an semi-analytical solution of vertical deformation of pipeline caused by underlying tunneling can be calculated by using the finite difference method, and another difference solution deformation of pipeline considering lateral soils beside pipeline was deduced. Through comparing with the case study on engineering practical and centrifugal results, it was verified that the Kerr foundation model has more advantages, and the calculated result of Kerr foundation model considering effects of lateral soils beside pipeline was close to the result of measured data. Results of parameter analysis show that, with the increase of volume loss ratio and soil elastic modulus, vertical displacement and moment of the pipeline increases. The vertical displacement and moment of the pipeline decrease with the cross angle between pipeline and tunnel increases.