VTI介质弹性波的有限差分正演模拟

Finite-Difference Forward Simulation of Elastic Waves in VTI Media

本文以弹性参数导出了二阶位移波动方程,引入Thomsen参数使得弹性参数带有更直观的物理意义,进而以有限差分法对波动方程进行差分给出了波动方程二阶偏导数的时间二阶,空间二阶差分方程,讨论了均匀空间与三层模型中两种各项异性参数对波场特征的影响。

This article derives the second-order displacement wave equation using elastic parameters, and introduces the Thomsen parameter to give the elastic parameters a more intuitive physical meaning. Then, the finite difference method is used to give the time second-order and spatial second-order difference equations of the second-order partial derivatives of the wave equation. The influence of two anisotropic parameters on the wave field characteristics in uniform space and three-layer models is discussed.