弹性各向异性介质岩石体波相速度计算

摘要

综述弹性波相速度计算的若干严格数值方法和近似解析方法,对数值算例及对不同方法作了比较.结果显示,不同数值方法得到结果一致,其适用于计算任意复杂各向异性介质岩石的相速度,但不便从物理意义的角度去分析物理参数对速度的影响；而近似解析解虽然精确程度各有不同,但是便于从物理意义的角度去进行速度分析,并在此基础上解析求取群速度这一重要物理量.%In this study, several numerical and approximated analytical methods are summarized and compared with the numerical calculating results. The result shows that different numerical methods used here can obtain the same results, and they can be used to evaluate complex and strong anisotropic media but not convenient to make velocity properties analysis in terms of physical meaning. Meanwhile, linear approximated solutions can not only be used to velocity analysis but also to get the group velocity which is concerted by geophysical exploration.How to get the more exactly linear analytical expression for complex anisotropic media is a significant task to promote the research of seismic anisotropy.