深埋圆形隧洞围岩各向异性稳态渗流场解析解

doi:10.16183/j.cnki.jsjtu.2018.12.004

上海交通大学学报（自然版） ›› 2018, Vol. 52 ›› Issue (12): 1565-1570.doi: 10.16183/j.cnki.jsjtu.2018.12.004

深埋圆形隧洞围岩各向异性稳态渗流场解析解

徐长节1,2,3，梁禄钜1，丁文湘4

1. 浙江大学滨海和城市岩土工程研究中心，杭州 310058； 2. 华东交通大学土木建筑学院，南昌 330013； 3. 江西省岩土工程基础设施安全与控制重点实验室，南昌 330013； 4. 浙江省工业设计研究院，杭州 310052

作者简介:徐长节(1972-)，男，安徽省潜山县人，教授，主要从事隧道工程、基坑工程以及土动力学方面的研究. 电话(Tel.)：0571-88206752；E-mail：xucj@zju.edu.cn.
基金资助:
国家重点基础研究发展计划(973)项目(2015CB057801)，国家自然科学基金资助项目(51238009，51338009)

Analytical Solutions on Steady Seepage Field of Deep Buried Circular Tunnel After Considering Anisotropic Flow

XU Changjie,LIANG Luju,DING Wenxiang

1. Research Center of Coastal and Urban Geotechnical Engineering, Zhejiang University, Hangzhou 310058, China; 2. School of Civil Engineering and Architecture, East China Jiaotong University, Nanchang 330013, China; 3. Jiangxi Key Laboratory of Infrastructure Safety Control in Geotechnical Engineering, Nanchang 330013, China; 4. Zhejiang Industry Design & Research Institute, Hangzhou 310052, China

摘要/Abstract

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.

关键词: 各向异性渗流, 深埋隧洞, 共形映射, 渗流场

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.

Key words: anisotropic flow, deep buried tunnel, conformal mapping, seepage field

中图分类号:

TU 432

徐长节1,2,3，梁禄钜1，丁文湘4. 深埋圆形隧洞围岩各向异性稳态渗流场解析解[J]. 上海交通大学学报（自然版）, 2018, 52(12): 1565-1570.

XU Changjie,LIANG Luju,DING Wenxiang. Analytical Solutions on Steady Seepage Field of Deep Buried Circular Tunnel After Considering Anisotropic Flow[J]. Journal of Shanghai Jiaotong University, 2018, 52(12): 1565-1570.

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