【摘要】 在传统各向同性渗流的深埋圆形隧洞渗流场解析解的基础上,引入2个相互垂直方向上的渗透系数比,通过坐标变换以及共形映射的方法,推导了各向异性渗流情况下深埋圆形隧洞的渗流场解析解.参数分析结果表明:当渗透系数比等于1时,所得解退化为各向同性渗流圆形隧洞渗流场解析解;当渗透系数比不等于1时,圆形隧洞渗流场等水头线为椭圆形,渗透系数较小的方向水力坡降较大,渗流场不再均匀分布,但是随着与隧洞中心距离的增大,这种不均匀性逐渐减弱.该解析解的计算结果与数值模拟的结果完全吻合,从而验证了其正确性.研究成果可供相关工程参考借鉴.更多还原

【Abstract】 Based on traditional analytical solutions of deep buried circular tunnel’s seepage field under isotropic seepage condition,a seepage coefficient ratio was introduced and analytical solutions of deep buried circular tunnel’s seepage field under anisotropic seepage condition was derived through coordinate transformation and conformal mapping.Results of parameter analysis indicate that the solutions could degenerate to the classical solutions under isotropic seepage condition when the seepage coefficient ratio is equal to 1.On the other hand,when the seepage coefficient ratio was not equal to 1,equal headlines of the circular tunnel’s seepage field were ellipses and hydraulic gradient on the direction of smaller seepage coefficient was larger than the other direction,which means the distribution of seepage field was inhomogeneous.However,this inhomogeneity weakened gradually with longer distance to the center of the circular tunnel.The calculation results of these analytical solutions are all in agreement with numerical analysis results,which confirmed the effectiveness of the proposed analytical solutions.The research results can provide a reference for relevant projects.更多还原