Characteristics of dispersion curves for Love channel waves in transversely isotropic media*
Ji Guang-Zhong 1,2,3, Zhang Ping-Song?1,2,3, Guo Li-Quan 1,2,3, Yang Si-Tong 4, and Ding Ren-Wei 4
1.State Key Laboratory of Mining Response and Disaster Prevention and Control in Deep Coal Mines, Anhui University of Science and Technology, Huainan 232001, China
2.Key Laboratory of Mine Geological Disaster Prevention and Environment Protection of Anhui Higher Education Institutes,Anhui University of Science and Technology, Huainan 232001, China
3.School of Earth and Environment, Anhui University of Science and Technology, Huainan 232001, China
4.College of Earth Science and Engineering, Shandong University of Science and Technology, Qingdao 266590, China
Abstract：
Coal seams have a pronounced bedding structure with developed cracks and exhibit significant anisotropy. However, few studies have examined the frequency dispersion properties of channel waves in anisotropic coal seams. In this study, numerical solutions are calculated using the generalized reflection–transmission coefficient method for the dispersion curves of Love channel waves in vertical transversely isotropic (VTI) and horizontal transversely isotropic (HTI) medium models. Moreover, the frequency dispersion characteristics of Love channel waves in several typical transversely isotropic models are analyzed. We find that the dispersion curves for isotropic and VTI media diff er significantly. In addition, the phase and Airy-phase velocities in VTI media are higher than those in isotropic media. Thus, neglecting this difference in practical channel wave detection will result in large detection errors. The dispersion curves for the isotropic and HTI media do not differ significantly, and the Airy-phase velocities of various modes are similar. The group-velocity curve for a coal seam model containing a dirt band is found to be extremely irregular. The fundamental-mode Airy phase is not pronounced, but the first-mode Airy phase can be clearly observed. Hence, first-mode channel waves are suitable for detecting dirt bands.
2020, Vol. 17 
