横向各向同性介质中传输线模型与地震波激发问题研究

A STUDY OF TRANSPORTATION MODEL AND SEISMIC WAVE GENERATION IN TRANSVERSELY ISOTROPIC MEDIA

长春地质学院

Changchun Uuiversity of Earth Science

本文从应变-位移关系、弹性应力-应变本构关系以及运动平衡方程出发,通过应用座标变换及奇异值分解技术,推得了2-D及3-D横向各向同性介质中的传输线方程.利用此方程研究了2-D条件下剪切力分布体力作用下地震波的激发问题.结果表明,本文所给出的研究兰姆问题的途径较之其它方法简捷。

Based on the relationship,strain-displacement and constitution law,of elastic stress-strain,along with motion balance equation,the transport equations in 2-D and 3-D transversely isotropio medut ore derived using coordinate transformation and SVD (Singular Value Decomposition) technique . By utilizing the derived equation, the problem on the generation of seismic wave thru the shearingly distributed body forces in 2-D transversely isotropic media Is examined. As a result,it reveals that the approach recommended in this paper with respect to the Lamb’s problem is much easier and efficient as compared with the conventional methods.