水下浅埋双孔平行隧道渗流场的解析研究  

Analytical solutions of seepage field for underwater shallow-buried parallel twin tunnels

作　　者：郭玉峰 王华宁[1,2] 蒋明镜[2,3] GUO Yu-feng;WANG Hua-ning;JIANG Ming-jing(School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China;State Key Laboratory of Disaster Reduction in Civil Engineering,Tongji University,Shanghai 200092,China;Department of Civil Engineering,Tianjin University,Tianjin 300072,China)

机构地区：[1]同济大学航空航天与力学学院,上海200092 [2]同济大学土木工程防灾国家重点实验室,上海200092 [3]天津大学土木工程学院,天津300072

出　　处：《岩土工程学报》2021年第6期1088-1096,F0003,共10页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(11872281);同济大学土木工程防灾国家重点实验室自主课题(SLDRCE19-A-06)。

摘　　要：目前对于双孔隧道渗流场的解析求解多基于单孔隧道渗流场的简单叠加,未真实满足洞周边界条件,所得结果存在误差。基于质量守恒定律和达西定律,采用保角变换法和Schwartz迭代法对水下双线平行隧道稳态渗流场进行了推导,经过2~3次迭代后获得了高精度的解答。采用Comsol软件对该问题进行数值模拟,并将数值模拟结果与本文解析解进行对比,发现在全域范围二者均吻合良好。与叠加法解答的对比显示,本解答与叠加法解答在远区一致;而隧道附近叠加法的误差较大。最后,讨论了隧道间距、埋深和相对大小对双孔平行隧道渗流场水头分布、渗流量的影响。Most of the current analytical solutions of seepage field for twin tunnels are directly obtained by the superposition of seepage fields of two single tunnels,which does not really satisfy the conditions at the tunnel boundary and has the deviation from the actual seepage field.Based on the mass conservation law and the Darcy’s law,an analytical solution of seepage field for underwater twin parallel tunnels is derived by the Schwartz alternating method combined with the conformal mapping.After two to three iterations,an analytical solution of the problem with high accuracy is obtained.The numerical software Comsol is used to simulate the problem,and the simulated results are compared with the analytical solutions proposed in this study.It is found that they are in good agreement throughout the entirety of the ground.Compared with the direct superposition results,the two results are consistent in the region far from the tunnel,while there is a large error of the superposition results near the tunnel boundary.Finally,the influences of tunnel spacing,buried depth and relative size on the distribution of hydraulic head and the water inflow of the tunnel are discussed.

关 键 词：双孔平行隧道 渗流场 解析解 Schwartz迭代法 保角变换 

分 类 号：TU462[建筑科学—结构工程]