基于复变函数理论和D-P屈服准则的并行隧道合理间距

综合利用复变函数理论、解析延拓法和Schwarz交替法揭示相邻水平并行隧道的应力分布特征. 在此基础上,结合考虑了中间主应力效应的D-P屈服准则建立相邻水平并行隧道力学模型. 提出并行隧道塑性区贯穿半径的概念,建立求解方程,并通过数值模拟证明其正确性. 采用隧道间塑性区临界贯穿状态下的间距作为隧道合理间距,与数值模拟软件FLAC3D计算得到的围岩位移量和沉降量随间距变化至基本不发生变化时所对应的隧道间距有较高的吻合性,从而表明其作为相邻水平并行隧道合理间距的可行性.

Reasonable spacing of parallel tunnels based on the complex function theory and D--P yield criterion

The stress distribution characteristics of adjacent horizontal parallel tunnels are revealed by comprehensively utilizing the complex function theory, analytic continuation method and Schwarz alternating method. Then a mechanical model of adjacent hori-zontal parallel tunnels is constructed in combination with the D- P yield criterion which considers the effect of intermediate principal stress. The concept of connected radius of the tunnel plastic zone is proposed, the solving equation is established and its correctness is verified by numerical simulation. The critical distance of the plastic zone connected between tunnels is considered as a reasonable spacing, which has a better agreement with the spacing of tunnels when the displacement and settlement of surrounding rock do not basically change with the spacing of tunnels calculated by numerical simulation software FLAC3D , thus demonstrating its feasibility as the reasonable spacing of adjacent horizontal parallel tunnels.