各向异性渗流深埋隧洞衬砌外水压力解析研究  

Analytical Study on Water Pressure of Lining of Deep Buried Tunnel with Anisotropic Seepage

作　　者：胡钟伟 黄娟[1] 余俊[1] 刘卓航 HU Zhongwei;HUANG Juan;YU Jun;LIU Zhuohang(School of Civil Engineering,Central South University,Changsha 410075,China)

机构地区：[1]中南大学土木工程学院,湖南长沙410075

出　　处：《铁道学报》2023年第7期169-177,共9页Journal of the China Railway Society

基　　金：国家自然科学基金(52078496)。

摘　　要：基于渗流力学基本理论,进行各向异性深埋隧洞渗流场解析研究。由稳定渗流场基本微分方程结合深埋隧道渗流场边界条件,利用坐标变换法将地层从各向异性转换为等效各向同性,运用保角变换将渗流方程转化为Laplace方程;将围岩渗流区域进行分区计算,得到围岩的渗流量计算公式;考虑衬砌为各向同性渗流,根据围岩与衬砌分界面上的渗流量相等得到衬砌外水压力的解析表达式,在此基础上考虑注浆圈及其对衬砌外水压分布的作用,得到了带注浆圈隧道衬砌水头和渗流量的解析解;通过与各向同性解析解和数值算例的计算结果对比,验证了公式的正确性。分析围岩水平与竖向渗透系数、注浆圈参数、衬砌参数、作用水头高度和隧道半径等因素对衬砌外水压力的影响,并考虑了各向异性渗流情况下衬砌外水压力与隧道渗流量的关系曲线。An analytical expression was derived for tunnel seepage field based on the theory of rock mass hydraulics and seepage mechanics by assuming that the surrounding rock is anisotropic seepage.By combining the basic differential equation of steady seepage field with the boundary conditions of deep buried tunnel seepage field,the coordinate transformation method was used to convert the anisotropic formation to equivalent isotropy,and the seepage equation was transformed into Laplace equation by conformal transformation.The seepage flow calculation formula of surrounding rock was obtained by partitioning calculation of surrounding rock seepage area.Considering the isotropic seepage of the lining,the analytical solution for the external water pressure of the lining was derived based on the equal seepage flow rate at the interface between the surrounding rock and the lining.On this basis,considering the grouting circle and its effect on the water pressure distribution outside the lining,the formulas for calculating the water head and seepage flow of tunnel lining with grouting circle were obtained.Compared with the existing literature solutions and numerical solution,the correctness of the expression was verified.The influences of horizontal and vertical permeability coefficient of surrounding rock,parameters of grouting circle,parameters of the lining,acting head height and tunnel radius on the external water pressure of the lining were analyzed,the relationship curve between the external water pressure of the lining and the tunnel seepage flow rate was also considered in the case of anisotropic seepage.

关 键 词：深埋隧洞 各向异性渗流 衬砌外水压力 解析解 

分 类 号：TU443[建筑科学—岩土工程]