Analytical solutions for steady seepage into an underwater circular tunnel

被引:149
作者
Ming, Huangfu [1 ,2 ]
Wang Meng-Shu [1 ]
Tan Zhong-Sheng [1 ]
Wang Xiu-Ying [1 ]
机构
[1] Beijing Jiaotong Univ, Sch Civil Engn, Beijing 100044, Peoples R China
[2] CCCC Tunnel Engn Co Ltd, Beijing 100011, Peoples R China
基金
中国国家自然科学基金;
关键词
Underwater tunnel; Steady seepage; Conformal mapping; Analytical solution;
D O I
10.1016/j.tust.2010.02.002
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
Based on the conformal mapping of the complex variable methods, analytical solutions are derived for two-dimensional, steady ground water flow into a horizontal tunnel in a fully saturated, homogeneous, isotropic, and semi-infinite aquifer. Main application of the equations is to calculate the distribution of the hydraulic head and the pore pressure in the rock mass surrounding the tunnel, and it takes constant hydraulic head and constant water pressure boundary conditions at the tunnel perimeter into consideration. Moreover, a comparison of the analytical solution and FLAC(3d) shows that the solutions match well for points around the tunnel. When Harr's solution is compared to the solution presented here, it appears that the surface has a large effect on the water pressure around the tunnel, even for relatively deep tunnels. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码:391 / 396
页数:6
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