Analysis of P-wave propagation in filled jointed rock mass with viscoelastic properties

作者：Lianzeng Chai, Shaobo Chai, Pei Li, Jinhao Liu, Boyang Song, Xianpeng Li · 发表于：Geomechanics and Geophysics for Geo-Energy and Geo-Resources · 年份：2023 · DOI：10.1007/s40948-023-00642-z · 被引用次数：9 · 研究领域：Rock Mechanics and Modeling、Drilling and Well Engineering、Seismic Imaging and Inversion Techniques

Abstract Stress wave propagation in filled jointed rock mass is an important basis for the analysis of rock dynamic stability. The presence of small cracks in rock mass often causes the rock to exhibit viscoelastic behavior, resulting in the amplitude attenuation and time delay of the stress wave. In view of the incomplete understanding of stress wave propagation in viscoelastic media, this study presents an analysis on stress wave propagation in filled jointed rock mass with viscoelastic properties based on the time-domain recursive analysis method. By introducing the quality factors of stress wave in viscoelastic medium, the propagation equation of plane P-wave in filled jointed rock mass with viscoelasticity is established. Subsequently, the transmission and reflection characteristics of P-wave are accordingly analyzed. The results indicate that the transmission and reflection coefficients of P-wave through the filled joint decrease obviously due to the attenuation effect of rock viscoelasticity on wave amplitude, but the coefficients gradually stabilize as the quality factor increases. As the propagation distance of the P-wave increases in viscoelastic rock masses, the transmission and reflection coefficients decrease gradually. The normal stiffness of joint contact interface has a decisive influence on the wave propagation. Specifically, a higher normal stiffness leads to stronger transmission and poorer reflection. The larger the thickness of filled joint, the more obvi...