An Analytical Model of Seepage Field for Symmetrical Underwater Tunnels

作者：Wang, Fan; Li, Pengfei^*

来源：Symmetry-Basel, 2018, 10(7): 273.

DOI：10.3390/sym10070273

• symmetrical underwater tunnels
• steady seepage field
• mirror image method
• superposition principle
• comparative analysis

Based on the mirror image method and superposition principle, an analytical model of seepage field for symmetrical underwater tunnels is proposed. The condition is assumed as two-dimensional steady water inflow into symmetrical and horizontal underwater tunnels in a fully saturated, homogeneous, isotropic, and semi-infinite aquifer. Analytical solutions of pore water distribution and water inflow into tunnels are obtained. Two different boundary conditions at the perimeter of symmetrical tunnels are considered, constant total hydraulic head and constant water pressure. Taking the subsea tunnels of Xiamen Xiang'an in China as an example, comparisons between analytical solutions and numerical solutions are analyzed in the case of zero water pressure at the perimeter of symmetrical tunnels. The results show that the analytical solutions for pore pressure distribution and water inflow match well with the numerical solutions and that the relative deviations are all in an acceptable range. The solutions derived from the analytical model in this paper can analyze the steady seepage field of symmetrical underwater tunnels accurately and reasonably.

• 出版日期2018-7
• 单位北京工业大学