水下双线平行隧道渗流场解析研究

目前对于水下单线隧道渗流场的研究已取得了一定的进展,但是对于双线平行隧道则鲜有研究。基于达西定律以及质量守恒定律,采用保角变换法和叠加法对双线平行隧道稳态渗流场进行了推导,获得该问题的水头分布以及隧道涌水量的解析解。采用数值软件COMSOL对本文解析解进行验证,发现两者拥有较好的吻合度。结合算例,讨论了隧道间距对双线平行隧道渗流场、衬砌外围水头分布形态以及隧道涌水量的影响。发现将双线隧道简化为单线隧道进行分析,将会高估隧道周围水头以及隧道涌水量,并且这一现象随着隧道间距的减小而愈发明显。

Analytical solutions to seepage field of underwater twin parallel tunnels

The previous studies have made some research achievements on the seepage field of a single tunnel, but the researches on twin parallel tunnel are seldom. Based on the Darcy’s law and the laws of conservation of mass, the problem of steady seepage field of twin parallel tunnels is solved using the conformal mapping technique and the method of superposition. The analytical solutions of hydraulic head distribution and water inflow of tunnels are obtained. The software COMSOL is used to verify the analytical solutions, and a good agreement is found between the two methods. Incorporating examples, discussion is given about the effects of tunnel distance on the seepage field of twin parallel tunnels, the hydraulic head distribution outside the linings and the tunnel water inflow. It is found that when the twin tunnels are simplified as a single tunnel, the hydraulic head around tunnels and the tunnel inflows would be overestimated. And the phenomenon is more obvious in case of small tunnel distances.