基于上浮力正态分布的盾构管片上浮变形半解析方法研究  

Semi-analytical method of uplift deformation of shield segment based on normal distribution of buoyancy

作　　者：刘维正[1,2] 师嘉文 谭际鸣 董军 豆小天[3] LIU Weizheng;SHI Jiawen;TAN Jiming;DONG Jun;DOU Xiaotian(School of Civil Engineering,Central South University,Changsha 410075,China;National Engineering Research Center of High-Speed Railway Construction Technology,Changsha,410075,China;China Railway Tunnel Group No.2 Co.Ltd.,Sanhe 065201,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075 [2]高速铁路建造技术国家工程研究中心,湖南长沙410075 [3]中铁隧道集团二处有限公司,河北三河065201

出　　处：《中南大学学报(自然科学版)》2025年第3期1039-1052,共14页Journal of Central South University:Science and Technology

基　　金：湖南省自然科学基金面上资助项目(2024JJ5429);中铁隧道局集团科技创新计划项目(隧二研合2020-07)。

摘　　要：针对盾构管片上浮计算中上浮力变化的假设形式与实际存在差异,导致上浮量计算不准确,从而引发管片错台、渗水等工程问题,建立三维管片上浮数值模型,基于数值模拟结果与已有试验结果,提出一种符合实际的上浮力正态分布函数,并将上浮力作用范围视为置信水平为99.7%的置信区间。假设盾构隧道为置于Pasternak地基上的Euler-Bernoulli梁,考虑土体剪切变形,建立基于上浮力正态分布的管片上浮变形半解析方法,将解析结果与实测结果及已有方法计算结果进行对比,验证本文方法的适用性,并采用该方法分析地层参数、浆液参数对管片上浮及内力的影响。研究结果表明:在单次注浆作用下,瞬时上浮量先增大后减小,最大值出现在距盾尾21m处,弯矩最大值出现在盾尾处;剪力先增大后减小,在距盾尾9m处达到最大;在持续注浆作用下,累计上浮量、弯矩及剪力不断增大,距盾尾54m处上浮量达到最大值并趋于稳定,弯矩与剪力分别在距盾尾36m、54m处达到最大值;管片上浮量随埋深h、地层等效弹性模量Es增大而减小,随浆液初凝时间t延长呈非线性增大,随注浆压力P的变化呈线性变化;增大h与Es、减小P与t能有效减小管片上浮量、上浮范围及内力;距离盾尾36m至54m为管片最易发生错台区域,Es、t增大会使错台区域首端更接近盾尾。研究成果可为盾构隧道施工参数选取及管片上浮预测与控制提供理论依据。In the calculation of shield tunnel segment uplift,there are differences between the assumed form of buoyancy and the reality,which leads to inaccurate calculation of segment uplift,and thus triggers engineering problems such as segment misalignment and water seepage.In oder to solve these problems,a three-dimensional numerical model of segment uplift was established,and based on the numerical simulation and the existing research results,a normal distribution function of buoyancy was proposed,which was in line with the actual uplift range with 99.7%confidence interval.The shield tunnel was regarded as the Euler-Bernoulli beam placed on the Pasternak foundation,and a semi-analytical method of segment uplift deformation based on the normal distribution of buoyancy was established by considering the shear deformation of the soil.The applicability of the method of this paper was verified by comparing the measured data with the existing methods,and the effects of stratigraphic parameters and grouting parameters on the uplift and mechanices of the segment were analyzed by this method.The results show that under the action of single grouting,the instantaneous uplift of segment first increases and then decreases,and the peak value appears at 21 m at shield tail,the peak value of bending moment appears at shield tail,and the shear force first increases and then decreases,and it reaches the maximum at 9 m at the shield tail.Under the action of continuous grouting,the cumulative amount of uplift,bending moment and shear force increase continuously,and uplift reaches the peak value and tends to be stable in 54 m at the shield tail,and the cumulative values of bending moment and shear force reach the peak value at 36 m at the shield tail,54 m at the shield tail,and the cumulative values of bending moment and shear force reach the peak value at 36 m at the shield tail,in 54 m reaches the peak value.The uplift of the segment decreases with the increase of the burial depth h and the equivalent elastic modulus Es,increases nonlin

关 键 词：正态分布 上浮力 盾构隧道 管片上浮 半解析解 

分 类 号：U455.43[建筑科学—桥梁与隧道工程]