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Alkhalifah提出的声学近似方程对于各向异性VTI介质地震资料分析处理是一种较为高效的方法,但由于算法本身所产生的伪横波干扰,以及所带来的稳定性问题制约了该技术在实际生产中的应用.本文介绍了纵横波分离的VTI介质解耦合声波近似方程,以解决伪横波干扰问题.并针对数值求解问题,研究了伪解析法在VTI介质声波近似解耦方程数值模拟中的应用.对比数值模拟结果,该方法准确描述了VTI介质qP波波场特征的同时,消除了伪SV波干扰,使得波场传播更稳定,数值频散也更小.
The acoustic approximation equation proposed by Alkhalifah is a more efficient method for the seismic data analysis and processing of anisotropic VTI media. However, due to the pseudo-shear wave interference generated by the algorithm itself and the stability problems brought by it, the actual production This paper introduces the VTI medium decoupling acoustic wave approximation equation separated by longitudinal and shear waves in order to solve the problem of the pseudo-shear wave interference.For the problem of numerical solution, the application of the pseudo-analytical method in the numerical simulation of decoupling equation of acoustic wave in VTI media Compared with the numerical simulation results, this method accurately describes the qP wavefield characteristics of VTI media, and eliminates the false SV wave interference, making the wavefield propagation more stable and the numerical dispersion smaller.