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.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1998年第4期525-536,共12页
Chinese Journal of Geophysics
关键词
各向同性介质
点力源
格林函数
弹性波
弹性力学
Transversely isotropic medium
Reflectivity-transmittivity matrix
Point force
Green function.
