三维TTI介质格林函数的高斯束计算方法

Three-dimensional Green's Function Calculation in TTI Media Using the Gaussian Beam Method

在非均匀各向异性介质中,传统的射线追踪和动力学射线追踪系统不方便使用,计算量大.本文采用简化的由相速度和群速度以及它们导数表示的射线追踪和动力学射线追踪系统,用于高斯束方法计算三维TTI介质的格林函数.利用TTI介质对称轴方向与相速度方向的夹角计算速度及其导数,将TTI介质转化为VTI介质来处理.通过模型实例的误差分析,表明此过程的可行性.

In inhomogeneous anisotropic media, traditional kinematic and dynamic ray-tracing systems are inconvenient and inefficient. Simple kinematic and dynamic ray-tracing systems, which are formulated in terms of phase velocity and group velocity as well as their derivatives, are used in this paper. The systems are used for Gaussian beam method to compute green＇s function in 3D TTI media. The angle, which is between symmetry axis and the direction of phase velocity, is used to compute velocity and its derivative in TTI media. It makes dealing with TTI media as same as dealing with VTI media. Error analysis of the numerical model is used to demonstrate its feasibility.