论文部分内容阅读
当地下介质存在各向异性时 ,在观测坐标系下的弹性参数与自然坐标系下的弹性参数不一定相同 .首先 ,根据势能密度和耗散能密度与坐标轴无关的原理 ,推导出了双相各向异性介质中观测坐标系下弹性参数与自然坐标系下弹性参数之间的关系 ;然后 ,从任意双相各向异性中弹性波波动方程出发 ,得出了该方程的伪谱法数值解法 ;最后 ,通过数值模拟 ,观测到了存在于双相各向异性介质中的 4类波 ,即快纵波、慢纵波、快横波和慢横波 .在双相各向异性介质中 ,SV波传播的波前面上仍然存在波面尖角 ,这些尖角在界面上要发生反射和透射 .另外 ,数值模拟结果中可见转换慢纵波和慢纵波的转换波 .
When there is anisotropy in the local medium, the elastic parameters in the observational coordinate system are not necessarily the same as those in the natural coordinate system.Firstly, based on the principle that the potential energy density and the dissipative energy density are independent of the coordinate axes, In the anisotropic medium, the relationship between the elastic parameters in the observed coordinate system and the elastic parameters in the natural coordinate system is derived. Then, the pseudo-spectral values of this equation are derived from the elastic wave equations of any two-phase anisotropy. Finally, four types of waves, namely fast longitudinal wave, slow longitudinal wave, fast transverse wave and slow transverse wave, are observed in the biaxial anisotropic medium by numerical simulation. In a two-phase anisotropic medium, SV wave propagation Wavefront sharpness still exists on the front of the wave, and these sharp corners are reflected and transmitted at the interface. In addition, the results of numerical simulation show that the converted wave is slow and slow.