中文摘要：

盾构隧道施工会对周围土体产生扰动,当土体沉降和变形过大时,会对邻近地下管线产生危害。采用统一土体移动模型解计算盾构隧道施工引起的土体自由位移场,通过能量方法建立变分控制方程,得到盾构隧道施工引起地下管线竖向位移的计算方法,将计算结果与刘晓强方法计算结果及实测数据进行对比,并分析土质条件、管线轴线埋深、管线材质等因素对管线竖向位移的影响。结果表明：与刘晓强方法相比,基于统一解的能量变分法计算结果与实测值更加吻合;双线盾构隧道施工引起的管线竖向位移在两隧道中轴线两侧呈不对称分布;不同土质条件对管线的竖向位移和沉降槽宽度有较大影响,而不同管线埋深、材质的影响较小。

英文摘要：

Settlements and deformations of soils induced by shield tunneling have adverse impact on adjacent underground pipelines,especially large settlements and deformations.The unified solution of vertical displacements of soil movement model is adopted to calculate soil free displacements induced by shield tunneling.The variation control equation is established by energy method.And then a calculation method of vertical displacements of underground pipelines induced by shield tunneling is obtained and put into comparison with LIU Xiaoqiang Method and field test.Meanwhile,the influence of soil condition and buried depth and material of underground pipeline on vertical displacement of underground pipeline is analyzed.The analytical results show that：1） Compared to LIU Xiaoqiang Method,the results of energy variational calculus based on unified solution coincide with the actual condition better.2）The vertical displacement of pipelines induced by double-track shield tunneling is asymmetrical along the central axis of two tunnels.3） The soil conditions have significant impact on vertical displacement and width of settlement trough of pipeline,while the buried depth and material of pipeline have little impact.