渗透各向异性地层中隧洞稳态渗流场的半解析预测模型  

A Semi⁃Analytical Model for Prediction of the Steady⁃State Seepage Field Around a Tunnel in Permeable Anisotropic Strata

作　　者：汤钰 王华宁 宋飞[2] TANG Yu;WANG Huaning;SONG Fei(School of Civil Engineering,Suzhou University of Science and Technology,Suzhou 215011,Jiangsu,China;School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China)

机构地区：[1]苏州科技大学土木工程学院,江苏苏州215011 [2]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2024年第2期473-482,共10页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(12272274)。

摘　　要：隧洞施工和服役过程中容易出现支护结构渗流破坏、涌水等与渗流场相关的工程问题.为更方便快捷地对隧洞的孔隙压力、涌水量等进行预测并为数值模型提供验证,本文对渗透各向异性饱和地层中圆形隧洞的渗流场开展理论研究,并充分考虑注浆区/衬砌对渗流场的影响.利用坐标变换和保角映射对渗流场基本控制方程进行处理,求解围岩和注浆区/衬砌区孔隙压力分布.使用配点法处理两区域交界面各点孔压和流量协调,获得了在精确满足边界和协调条件下围岩和衬砌/注浆区渗流场的控制方程,以及孔隙压力与比流量稳态分布的半解析模型.解析解与数值解的一致性验证了模型的正确性.利用解析模型分析了衬砌渗透系数、围岩渗透性各向异性程度、注浆区厚度等因素对隧道渗流量和衬砌外水压的影响.During the construction and operation of tunnels,engineering challenges associated with seepage flow are consistently encountered,such as the damage of support structures or water influx.The main objective of this study is to analyze the hydraulic behavior of supported tunnels constructed in saturated ground,taking into account anisotropy of permeability and the effect of grouting/support on the seepage flow.In the determination,the coordinate transformation and the conformal mapping technique are employed to solve the governing equations,meanwhile,the points matching method is used to address the coordinate conditions of pore pressure and water flux at the rock-support interface.Finally,semi-analytical solutions of pore pressure distribution subjected to steady flow state are obtained,for the surrounding rock and the grouting/support zone.In the verification step,satisfactory agreement is achieved between the proposed analytical solutions and the numerical predictions.Then,in the parametric analyses step,the developed analytical model is applied to investigate the effect of support permeability,anisotropy of rocks'permeability,and the thickness of the grouting/support zone,etc.,on the seepage flow and the pore pressure distributions of tunnels.

关 键 词：各向异性 深埋隧洞 保角映射 解析解 

分 类 号：U459.3[建筑科学—桥梁与隧道工程]