Journal of Shanghai Jiaotong University ›› 2018, Vol. 52 ›› Issue (12): 1565-1570.doi: 10.16183/j.cnki.jsjtu.2018.12.004

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

XU Changjie,LIANG Luju,DING Wenxiang   

  1. 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

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

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