柱面波在节理岩体中传播规律的分析对于岩石工程特别是采矿工程和地下工程具有重要的研究意义。基于波阵面的动量守恒和节理的位移不连续理论,首先对入射柱面P波与线弹性节理之间的相互作用关系进行定量分析,推导应力波通过单节理的传播方程。根据应力波的几何扩散性,进一步分析柱面波的能量衰减。当波阵面相对节理面垂直和倾斜2种情况时,分别计算出相应的透射和反射系数,并将计算结果和波阵面为平面的情况进行对比,结果吻合较好。最后开展参数研究,分析节理不同位置处的透射波及波源节理距离和节理的刚度对柱面 P波在节理岩体中传播影响的规律。
The interaction between rock joints and cylindrical waves,which frequently occurs in mining and underground construction,is crucial in rock engineering. Based on the conservation of momentum at the wave fronts and the displacement discontinuity method,quantitative analysis of interaction between incidently cylindrical longitudinal-wave(P-wave) and a linear elastic rock joint is carried out. The wave propagation equation is accordingly deduced. Due to the geometrical spreading,reduction of the wave energy at the wave front is analyzed. For the normal impacting and oblique impacting of the incident wave,the transmission and reflection coefficients obtained from the derived wave propagation equation agree very well with the results from the existing method. Then parametric studies are carried out to investigate the effects of the wave source distance,the density of explosion and the incident waveforms on wave propagation across a jointed rock mass.