摘要
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.
Anisotropic migration has gained more and more attention and applications in the industry,especially the acoustic transversely isotropic（TI）case introduced by Alkhalifah.Though many people have started investigating the more the more complicated and relatively more accurate such as tilted transverse isotropy.However,those wave equations are not really free of shear waves.In fact,the pseudo SV-wave artifact and the stability problems generated by acoustic transversely isotropic algorithm itself restricted it＇s application in practical.This paper describes the separated P and SV-wave VTI medium wave acoustic approximate equation to solve the pseudo SV-wave artifact problem.In order to solve this equation,we studied pseudo-analytical wave field extraplation theory for decoupled VTI media acoustic approximate wave equation numerical simulation.Pseudo-analytical method a improved methon based on pseudo-spectrum method.Then we analyzed the numerical dispersion and stability,and compared the equation with conventional coupled VTI media acoustic wave equation.First,Impuse responses numerical simulation test results show that this method can describe the VTI media qP wave field characteristics accurately as coupled VTI media acoustic wave equation.Sencondly,the Hess Modeling test results reveal that decoupled VTI media acoustic approximate wave equation based on pseudo-analytical can eliminate the pseudo-SV wave artifact and make the wavefield propagation more stable and the numerical dispersion smaller.
出处
《地球物理学进展》
CSCD
北大核心
2014年第3期1218-1223,共6页
Progress in Geophysics
基金
国家自然科学基金(41204091)
教育部博士点新教师基金(20105122120001)
教育部优先发展领域基金(2011512230001)联合资助
关键词
VTI介质
声学近似
正演模拟
伪解析法
VTI media
acoustic approximate
forward modeling
pseudo-analytical method
