双相横向各向同性介质分界面上弹性波反射与透射问题研究

REFLECTION AND TRANSMISSION OF PLANE WAVE ON AN INTERFACE BETWEEN DISSIMILAR TWO-PHASE,TRANSVERSELY ISOTROPIC MEDIA

从双相横向各向同性介质弹性波波动方程出发 ,利用边界上的 4个连续性条件 ,计算双相横向各向同性介质分界面上弹性波反射和透射系数 .计算表明 ,快纵波在双相横向各向同性介质分界面上 ,要产生反射快纵波、反射转换 qSV波、反射转换慢纵波和透射快纵波、透射转换qSV波、透射转换慢纵波 .反射转换慢纵波振幅和透射转换慢纵波振幅均较小 .频率、耗散和各向异性大小影响着快纵波反射系数的大小 .

A method for calculating reflection and transmission coefficients of elastic wave is derived based on elastic wave equations and four continuity conditions of an interface between dissimilar two phase,transversely isotropic media.The calculation of reflection and transmission coefficients shows that on the interface,incident fast P wave will generate three kinds of reflection waves and three kinds of transmission waves,namely,qP 1,converted qSV and converted qP 2 waves.The amplitudes of converted slow P wave in both reflection and transmission waves are small.Frequency,dissipation and anisotropy all have influence on the magnitude of reflection coefficients of fast P wave. [