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地球介质中最常见的一种各向异性介质就是倾斜横向各向同性(tilted transversely isotropic,简称TTI)介质,目前TTI介质的正演和逆时偏移是地震勘探工业界研究的前沿热点,TTI介质中的高精度地震波正演和逆时偏移必须要考虑TTI各向异性的影响,否则会使得模拟和成像结果不够准确.本文基于Tsvankin提出的TI介质相速度精确频散方程,针对常规TTI介质解耦波动方程时间精度的不足引入伪解析法(pseudoanalytical method,简称PAM)提出一种新的基于伪解析法的TTI介质解耦波动方程,能在时间方向和空间方向都达到高精度纯P波模拟.数值模拟结果显示,本文构造的基于伪解析法的TTI介质解耦波动方程具有高精度且没有任何伪横波误差.
The most common anisotropic medium in the earth is tilted transversely isotropic (TTI) media. Up to date, the forward and reverse migration of TTI media have been the hot topics in the field of seismic exploration. TTI High-precision seismic wave forward and inverse time migration in the medium must consider the influence of TTI anisotropy, otherwise the simulation and imaging results will not be accurate enough.This paper based on Tsvankin proposed TI medium phase velocity precise dispersion equation, for conventional TTI Introducing the pseudoanalytical method (referred to as PAM), a new method of decoupling wave equation based on the pseudo-analytic method for TTI decoupling is proposed, which can achieve high precision of pure P in time and space Wave simulation.The numerical simulation results show that the proposed TTI decoupling wave equation based on the pseudo-analytic method in this paper has high precision without any pseudo-shear wave error.