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各向异性介质相速度、群速度与克利斯托费尔方程
引用本文:牛滨华,何樵登,陶春晖.各向异性介质相速度、群速度与克利斯托费尔方程[J].吉林大学学报(地球科学版),1992(4).
作者姓名:牛滨华  何樵登  陶春晖
作者单位:长春地质学院地球物理系 (牛滨华,何樵登),长春地质学院地球物理系(陶春晖)
摘    要:本文详细回顾了克利斯托费尔方程(Christoffel)的推导.在此基础上,提炼出时空域和频率域克利斯托费尔方程,前者可作正演计算介质的相速度,后者可计算介质的群速度.并计算了横观各向同性介质的相速度和群速度.最后对无损耗各向异性介质的相速度和群速度的关系进行了简单讨论.

关 键 词:相速度  群速度  克氏方程  异性介质  同性介质

PHASE VELOCTY, GROUP VELOCTY OF ANSOTROPC MEDIA AND CHRSTOFFELS EQUATION
Niu Binhua He Qaodeng Tao Chunhui.PHASE VELOCTY, GROUP VELOCTY OF ANSOTROPC MEDIA AND CHRSTOFFELS EQUATION[J].Journal of Jilin Unviersity:Earth Science Edition,1992(4).
Authors:Niu Binhua He Qaodeng Tao Chunhui
Institution:Department of Geophysics
Abstract:The paper look back on the calculation of christoffel's equation, whose T-S domain and F-K domain are refrined in this paper. The T-S equation and the F-K equation can be used in calculating phase velocity and grroup velocity separatelly. Velocity is aniimportant and basic parameterr in reseaching of anisotropic media. Christoffel's equation is a useful an efficient method in this work, and it is suitable for want only media including anisotropy. We calculate phase and group velocity of transverse isotropic media with the aid of this equation. Finally, the relationship of phase velocity and group velocity is explained in the paper.
Keywords:phase velocity  group velocity  christoffel's equation  
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