Pure quasi-P wave equation and numerical solution in 3D TTI media

作     者：张建敏 何兵寿 唐怀谷 

作者机构：中国海洋大学山东青岛266100 青岛海洋科学与技术国家实验室海洋矿产资源评价与探测技术功能实验室山东青岛266071 海底科学与探测技术教育部重点实验室山东青岛266100 

出 版 物：《Applied Geophysics》 (应用地球物理（英文版）)

年 卷 期：2017年第14卷第1期

页      面：125-132,191页

核心收录：

学科分类：081801[工学-矿产普查与勘探] 081802[工学-地球探测与信息技术] 08[工学] 0818[工学-地质资源与地质工程] 

基　　金：supported by the National Natural Science Foundation of China(No.41674118) the national science and technology major project(No.2016ZX05027-002) 

主　　题：TTI media the pure quasi-P wave equation high-order finite PML boundary conditions BP model 

摘      要：Based on the pure quasi-P wave equation in transverse isotropic media with a vertical symmetry axis （VTI media）, a quasi-P wave equation is obtained in transverse isotropic media with a tilted symmetry axis （TTI media）. This is achieved using projection transformation, which rotates the direction vector in the coordinate system of observation toward the direction vector for the coordinate system in which the z-component is parallel to the symmetry axis of the TTI media. The equation has a simple form, is easily calculated, is not influenced by the pseudo-shear wave, and can be calculated reliably when δ is greater than ε. The finite difference method is used to solve the equation. In addition, a perfectly matched layer （PML） absorbing boundary condition is obtained for the equation. Theoretical analysis and numerical simulation results with forward modeling prove that the equation can accurately simulate a quasi-P wave in TTI medium.