Abstract The presence of joints, persistent and non-persistent ones, within rock masses has a significant influence on wave propagation. However, previous studies were limited to wave propagation across persistent joints. To understand P-wave propagation and diffraction across non-persistent jointed rock masses, theoretical and numerical analyses were carried out in this paper. A theoretical method was introduced to investigate P-wave propagation and diffraction across a single non-persistent joint, by combining the displacement discontinuity method and the angular diffraction theory. With this proposed theoretical method, analytical solutions for wave propagation and diffraction across a single non-persistent joint were derived. After validation through comparison with theoretical solutions, FEM-based numerical simulations were carried out to study wave propagation and diffraction across multiple parallel non-persistent joints. Results showed that the wave field after passing through a single non-persistent joint is two-dimensional, which is different from plane wave propagation across the persistent joint. Obvious enhancement regions and suppression regions exist, which are determined by the combined effect of wave transmission across the joint segments and wave diffraction at the rock bridges. In addition, spatial parameters including rock bridge length, joint segment length, joint spacing, propagation distance and joint dislocation have a remarkable influence on wave propagation across multiple non-persistent joints. The findings in this paper could fill in the gap between wave propagation across persistent and non-persistent joints and thus facilitate a better understanding of wave propagations across discontinuous rock masses.

中文翻译：

---

通过非持久岩石节理的波传播和衍射：分析和数值研究

摘要 岩体中节理、持久性和非持久性节理的存在对波的传播有重要影响。然而，以前的研究仅限于通过持久关节的波传播。为了了解 P 波在非持久节理岩体上的传播和衍射，本文进行了理论和数值分析。通过结合位移不连续性方法和角衍射理论，引入了一种理论方法来研究跨单个非持久关节的纵波传播和衍射。使用这种提出的理论方法，推导出了跨单个非持久关节的波传播和衍射的解析解。通过与理论解对比验证后，进行了基于 FEM 的数值模拟来研究波在多个平行非持久关节上的传播和衍射。结果表明，通过单个非持久关节后的波场是二维的，这与穿过持久关节的平面波传播不同。存在明显的增强区和抑制区，这是由跨节段的波传输和岩桥处的波衍射共同作用决定的。此外，岩桥长度、节理段长度、节理间距、传播距离和节理错位等空间参数对波在多个非持久节理上的传播有显着影响。