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射线追踪是一种高频近似前提下快速有效的波场近似计算方法,传统的基于弹性参数的各向异性介质运动学和动力学射线追踪方程,求解过程中需要处理Christoffel方程的特征值问题,因而计算效率比较低.为了解决这一问题,本文通过引入相速度和群速度,对运动学和动力学追踪方程进行修改和简化,有效地提高了各向异性介质射线追踪算法的计算效率.另外,我们将该算法应用到各向异性偏移中,实现了共炮域TI介质高斯束叠前深度偏移方法.VTI介质Hess模型和TTI介质洼陷模型的试算结果说明了该方法的正确性和有效性.
Ray tracing is a fast and effective wavefield approximation method based on high-frequency approximation. The traditional kinematic and kinematic ray tracing equations of anisotropic media based on elastic parameters require solving the eigenvalue problem of Christoffel equation, So the computational efficiency is relatively low.In order to solve this problem, the kinematic and dynamic tracking equations are modified and simplified by introducing the phase velocities and group velocities, which effectively improves the computational efficiency of the anisotropic medium ray tracing algorithm. , We apply this algorithm to the anisotropic migration to realize the Gaussian beam prestack depth migration method for TI media in a common gun field.The experimental results of the VTI media Hess model and the TTI media depression model demonstrate that the method is correct Sexuality and effectiveness.