高级检索

三向应力下支护应力对圆形巷道围岩应力分布规律的影响

Effect of support stress on the stress distribution of surrounding rock in circular roadways under triaxial stresses

  • 摘要: 为进一步探究支护应力对圆形巷道应力分布特征的影响规律, 建立了考虑三向应力和支护应力条件下的巷道围岩力学模型, 推导了巷道围岩煤岩体应力分布的解析方程, 借助COMSOL进行了可靠性验证; 通过赋值法讨论了13种应力边界(三向应力Px, Py, Pz)及4种支护应力(0.2, 1, 2, 5 MPa)下巷道围岩煤岩体径向应力、切向应力和轴向应力的分布情况。研究结果表明: ①当水平应力(Px)大于垂直应力(Py)时, 轴向应力随着深距(至巷道表面距离)的增加而增加; 当水平应力(Px)小于垂直应力(Py)时, 轴向应力随着深距的增加而降低; ②当水平应力(Px)等于垂直应力(Py)时, 轴向应力值不变, 径向应力随着深距的增加而增加, 切向应力随着深距的增加而降低; ③围岩上的切向应力随着支护应力的增加而降低, 过高的支护应力将导致局部拉应力的出现; 径向应力随着支护应力的增加而增加; 一定程度的支护应力不仅可以使巷道表面围岩从两向应力状态恢复到三向应力状态, 同时可以降低切向应力, 增加径向应力, 降低围岩上的剪应力, 均化巷道围岩应力, 从而维护巷道的稳定性。

     

    Abstract: To explore the effect of support stress on the stress distribution of surrounding rocks in circular roadways, mechanical models of stress distribution of surrounding rocks were developed for roadways under support stress and triaxial stresses. The proposed model was validated by compared withCOMSOL numerical simulations.By adopting the assignment method, the stress distribution of roadway surrounding rocks was assessed under thirteen different stress conditions (stress Px, Py, Pz) with four different support stresses (0.2, 1, 2, 5 MPa). It is found that the axial stress increased with the increase of the depth distance (which means the distance to roadway surface) when the horizontal stress (Px) was larger than the vertical stress (Py), whereas the axial stress decreased with the increase of roadway depth when the horizontal stress (Px) was smaller than the vertical stress (Py). When the horizontal stress (Px) was equal to the vertical stress (Py), the axial stress remained constant and the radial stress increased with the increase of depth, whereas the tangential stress decreased with the increase of depth. The tangential stress of the surrounding rocks decreased with the increase of support stress, and excessive support stress can lead to tensile stress. The radial stress of the surrounding rocks decreased with the increase of support stress. This implied that to some extent, the support stress not only can render the bi-axial stress condition of the roadway surrounding rocks to be triaxial, but also reduce the tangential stress, increase the radial stress, decrease the shear stress of the surrounding rocks, average the stress of the surrounding rocks, which enhanced the roadway stability.

     

/

返回文章
返回