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