深埋隧道开挖引发的应力与位移非线性解

Nonlinear solution of stress and displacement induced by deep-buried tunnel excavation

对隧道开挖引发的地层扰动进行应力和位移的快速及准确计算具有重要的理论与工程实际意义.本文基于非线性Hoek-Brown强度准则,求解了隧道开挖后塑性区的应力和位移解析解,并对应力和位移解进行了参数敏感性分析.研究表明:塑性区半径随开挖半径的增大而增大;当m_(i)≤20时,r_(p)/r_(0)随开挖半径的增大呈现非线性增大的演化规律,当m_(i)=25,r_(p)/r_(0)随着开挖半径的增大呈现先增后减趋势;不同m_(i)值时,r_(p)/r_(0)随着GSI增大而非线性增大;剪胀和开挖半径对的影响中,开挖半径对位移的影响更加显著.

The rapid and accurate calculation of stress and displacement of stratum disturbance caused by tunnel excavation has important theoretical and practical significance.Based on the nonlinear Hoek Brown strength criterion,the analytical solutions of stress and displacement in the plastic zone after tunnel excavation are solved,and the parameter sensitivity of the stress and displacement solutions is analyzed.The results show that the radius of plastic zone increases with the increase of excavation radius;when m_(i)≤20,r_(p)/r_(0) increases nonlinearly with the increase of excavation radius;when m_(i)=25,r_(p)/r_(0) increases first and then decreases with the increase of excavation radius;at different m_(i) values,r_(p)/r_(0) increases nonlinearly with the increase of GSI;among the effects of dilatancy and excavation radius on u/r_(0),the influence of excavation radius on displacement is more significant.