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Characteristics of dispersion curves for Love channel waves in transversely isotropic media
Applied Geophysics ( IF 0.7 ) Pub Date : 2020-09-25 , DOI: 10.1007/s11770-019-0798-6
Guang-Zhong Ji , Ping-Song Zhang , Li-Quan Guo , Si-Tong Yang , Ren-Wei Ding

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.



中文翻译:

横观各向同性介质中Love通道波的频散曲线特征

煤层具有明显的层理结构和明显的裂缝,并表现出明显的各向异性。但是,很少有研究检查各向异性煤层中通道波的频散特性。在这项研究中,使用广义反射-透射系数方法,针对垂直横观各向同性(VTI)和水平横观各向同性(HTI)介质模型中Love通道波的色散曲线,计算了数值解。此外,分析了几种典型的横观各向同性模型中Love通道波的频率色散特性。我们发现各向同性和VTI介质的色散曲线存在显着差异。另外,VTI介质中的相速度和空相速度高于各向同性介质中的相速度和空相速度。从而,忽略实际信道波检测中的这种差异将导致较大的检测错误。各向同性和HTI介质的色散曲线没有显着差异,并且各种模式的Airy相速度均相似。发现包含尘土带的煤层模型的群速度曲线极为不规则。基本模式的艾里相并不明显,但是可以清晰地观察到第一模式的艾里相。因此,第一模式通道波适用于检测尘土带。基本模式的艾里相并不明显,但是可以清晰地观察到第一模式的艾里相。因此,第一模式通道波适用于检测尘土带。基模艾里相并不明显,但是可以清楚地观察到第一模艾里相。因此,第一模式通道波适用于检测尘土带。

更新日期:2020-09-25
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