慢度平方三角网格模型VTI介质二维QP波各向异性立体层析反演

基于慢度平方三角网格剖分模型下的各向异性射线扰动理论，建立了具有垂直对称轴的横向各向同性（VTI）介质中二维QP波立体层析所需的FRECHET导数矩阵，实现了慢度平方三角网格模型的VTI介质二维QP波各向异性立体层析.考虑到各向异性参数是影响地震波运动学特征的次一级因素，制定了先反演慢度再反演各向异性参数的反演策略.由于慢度平方三角网格模型的稀疏性，使得数据空间对模型空间的FRECHET导数矩阵规模被大幅压缩，在降低了计算成本的同时也很好的保证了界面位置、背景慢度、各向异性等各个参数的反演精度.理论数据算例证实了FRECHET导数的正确性和反演策略的合理性.

2D QP anisotropic stereo-tomography for VTI media in triangulated model

Based on the anisotropic ray perturbation theory in slowness squared triangulated model, a 2D QP wave anisotropic stereo-tomography for VTI media is presented. Due to the sparsity of slowness-squared triangulated model, the scale of FRECHET derivative matrix of stereo-tomography is greatly reduced thus the computational cost is significantly cut down. Meanwhile, the accuracy of a joint inversion of the interface position, background velocity and anisotropic parameters is pretty good. The numerical examples demonstrated the correctness of the presented Frechet derivatives and the feasibility of the inversion strategy.