各向异性介质中地震波前面的偏微分方程  

PARTIAL DIFFERENTIAL EQUATION OF SEISMIC WAVEFROONT IN ANISOTROPIC MEDIA

作　　者：张中杰[1] 滕吉文[1] 王爱武[1] 魏计春[1] 

机构地区：[1]中国科学院地球物理研究所

出　　处：《地球物理学报》1994年第2期220-227,共8页Chinese Journal of Geophysics

基　　金：国家自然科学基金

摘　　要：从含２１个弹性参数的各向异性介质中关于位移分量ｕｘ、ｕｙ与ｕｚ的偏微分波动方程组出发，通过假定平面波位移函数解，导出准Ｐ波、准ＳＶ波与准ＳＨ波的波前面偏微分控制方程，进而对各类特殊各向异性介质（横向各向同性介质、椭圆及立方体各向异性介质）中地震波前面偏微分方程进行了讨论．以上结果为研究各向异性介质中地震波传播规律以及进行正、反演研究奠定了理论基础．Starting from partial differential equations with respect to displacement components ux、 uy and uz in anisotropic media including 21 elastic parameters,We derived partial differential equations of. seismic wavefronts for qP、、qSV and qSH waves,by using Plane wave motion solution,and discussed the partial differential equations.in spedcial-type anisotropic media(such as transversely isotropic media,ellipitical anisotropic media and cubic anisotropic media).The results obtained lay a solid foundation for understanding the law of the seismic propagation in anisotropic media and for undertaking the forward modelling and inverse comgutation.

关 键 词：地震波 偏微分方程 各向异性介质 

分 类 号：P315.3[天文地球—地震学]