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Characteristics of dispersion curves for Love channel waves in transversely isotropic media

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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 differ 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.

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Acknowledgements

This research was supported by the National Key R&D Program of China (No. 2018YFC0807804-3), Key R&D Program of Anhui Province (No. 1804a0802213) and Scientific Research Foundation for the introduction talent of Anhui University of Science and Technology.

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Correspondence to Ping-Song Zhang.

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Ji Guang-Zhong, lecturer. Master graduated from China University of Geosciences (Wuhan) in 2010. Ph. D. graduated from China Coal Research Institute in 2017. His main research interests are in-seam wave seismic exploration and seismic wave theory. E-mail: jj-gg-zz@163.com.

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Ji, GZ., Zhang, PS., Guo, LQ. et al. Characteristics of dispersion curves for Love channel waves in transversely isotropic media. Appl. Geophys. 17, 243–252 (2020). https://doi.org/10.1007/s11770-019-0798-6

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  • DOI: https://doi.org/10.1007/s11770-019-0798-6

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