考虑渗透各向异性的水下非圆形隧道渗流场解析

矩形、直墙曲拱形、多圆心形等非圆形隧道在工程建设中越来越常见，自然界土体多为渗透各向异性介质也是一个基本事实，目前水下隧道渗流场研究尚未综合考虑上述两种情况。本文以2个相互垂直的渗透系数表示隧道洞周土的渗透各向异性，基于坐标变换和保角映射法，给出了在渗透各向异性半无限多孔介质水下非圆形隧道的渗流量及水头的解析式。以某水下隧道为依托，通过数值模拟验证了解析解的正确性。并且研究发现：不考虑洞周土渗透各向异性将会低估隧道渗流量和衬砌外水头，给隧道工程的设计带来安全隐患，在隧道工程建设中根据实际情况适当考虑洞周土渗透各向异性的影响有重要工程意义。本文提供的方法适用于考虑渗透各向异性下的任意形状隧道的渗流场研究。

Analytical Solution on Seepage Field of Underwater Non-circular Tunnel Considering Seepage Anisotropy

Non-circular tunnels such as rectangle, straight wall, arch, and multi-circle are more and more common in engineering construction. Soil seepage anisotropy is also a basic reality. At present, the research on the seepage field of underwater tunnels has not comprehensively considered the above two situations. . In this paper, two mutually perpendicular permeability coefficients are used to represent the permeability anisotropy of the surrounding soil of the tunnel. Based on the coordinate transformation and conformal mapping method, the seepage flow of the non-circular tunnel underwater in the semi-infinite porous medium with permeability anisotropy is given. and the analytical formula of the water head. Based on an underwater tunnel, the correctness of the analytical solution is verified by numerical simulation. And the study found that: not considering the anisotropy of soil penetration around the tunnel will underestimate the tunnel seepage flow and the water head outside the lining, which will bring safety hazards to the design of the tunnel engineering. The influence of the opposite sex has important engineering significance. The method presented in this paper is suitable for the study of the seepage field in tunnels with arbitrary shapes considering permeation anisotropy.