点力源在横向各向同性介质中激发的弹性波  

ELASTIC WAVES FROM A POINT FORCE IN TRANSVERSELY ISOTROPIC MEDIA

作　　者：靳平[1] 徐果明[1] 楼沩涛[2] 

机构地区：[1]中国科学技术大学地球与空间科学系,合肥230026 [2]西北核技术研究所,西安710024

出　　处：《地球物理学报》1998年第4期525-536,共12页Chinese Journal of Geophysics

摘　　要：点力源在均匀横向各向同性介质中激发的弹性波可以用透射-反射矩阵法进行求解。假定点力源位于一假想的各向同性层中,并利用各向同性介质中等效于势函数的过源面间断,从而易于求出介质中各个点上的弹性波场;再令假想的各向同性层的厚度趋近于0,则可求出原始问题的解,即横向各向同性介质中的格林函数。最后得出的结果和假想的各向同性层的性质无关,表明这一方法用于求解点力源在各向异性介质中激发的弹性波场是可行的。Elastic waves from a point force in transversely isotropic,homogeneous media can be solved through the reflectivity-transmittivity matrix approach.Assuming the point force locates in an imaginary isotropic layer and utilizing potential discontinuities equivalent to a point force in isotropic media,it is quite easy to obtain the displacement field in media.Then let the thickness of the isotropic layer tend to be zero,the solution of the original problem,i.e.,the Green function in tranversely isotropic media is obtained..The final result is independent of parameters of the imaginary layer,which proves this approach is effective to resolve elastic field stimulated by point forces in transversely isotropic media.

关 键 词：各向同性介质 点力源 格林函数 弹性波 弹性力学 

分 类 号：O343[理学—固体力学]