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爆炸产生的应力波在岩体中的传播对地下洞穴/隧道设计和施工及采矿等建筑活动具有重要影响,当波传播至地表面将引起地表运动,也对地表的建、构筑物的安全稳定产生威胁。所以,对此方面的研究一直受到很大的关注。采用时域递归方法分析应力波在岩体结构面及地表面之间的传播,并求得地表面的振动响应。首先,基于波阵面动量守恒,分析一组平面P波斜入射线弹性结构面以及平面P,S波斜入射地表面2种情形下波与作用面的交互关系。接着,分析了应力波在结构面与地表面之间多次反射以及各个波的传播情况。考虑到波在结构面中的透反射和在地表面的反射以及波传播过程中的时间偏移,在时域范围内得到到达地表面各个波的递归方程。通过波的传播方程推导出各应力波引起的地表面振动速度的表达式。借助叠加原理,得到地表面上任意质点的振动速度。
The propagation of stress wave in the rock mass has an important influence on the design and construction of underground caverns / tunnels and the construction activities such as mining. When waves propagate to the ground surface, it will cause surface movement and the safety and stability of the surface construction and structures Threats. Therefore, the research on this aspect has been paid great attention. The time-domain recursion method was used to analyze the propagation of stress waves between the rock mass structure surface and the ground surface, and the vibration response of the ground surface was obtained. First of all, based on the conservation of momentum of the wavefront, the interaction between wave and active surface is analyzed under a set of plane P wave oblique incident elastic surface and plane P and S oblique incident surface. Then, the multiple reflection of stress waves between the structural surface and the ground surface and the propagation of each wave are analyzed. Taking into account the transflections of the waves in the structural plane and the reflection on the ground surface as well as the time migration in the wave propagation, a recursive equation is obtained for each wave on the ground surface in the time domain. The expression of surface vibration velocity caused by stress waves is derived from the wave propagation equation. With the superposition principle, the vibration velocity of any particle on the ground surface can be obtained.