各向异性展状介质中弹性波的传播矩阵解法

A PROPAGATION MATRIX METHOD FOR ELASTIC WAVE PROPAGATION IN STRATIFIED ANISOTROPIC MEDIA

基于广义胡克定律及混和变量弹性波方程，解析求得各层介质内位移、应力传递矩阵，给出了直角坐标系下各向异性层状介质中弹性波的传播矩阵解法．该方法适用于非轴对称各向异性和点源作用，较好地解决了数值计算中有效数字精度损失问题．数值结果表明，计算效率、准确性及稳定性均较好．

A propagation matrix method in cartesian coordinates for simulating elastic wave propagation in stratified anisotropic medium is put forward by analytically solving the propagator of the displacement and stress in every layer based on mixed variable elastic wave equation and the generalized Hook's law. The method presented can apply to non-cylindrical symmetry anisotropic media and non-point source action, in which the numerical difficulty caused by the loss of significant figures can be avoided. The mumerical results show its high computational precision and efficiency, and the numerical stability is good.