A New Pseudo-acoustic Wave Equation for VTI Media

A New Pseudo-acoustic Wave Equation for VTI Media
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DOI:
10.3997/2214-4609.20147774
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发表时间:
2008-06
期刊:
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影响因子:
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通讯作者:
Xiang Du;R. Fletcher;P. Fowler
Xiang Du;R. Fletcher;P. Fowler
中科院分区:
其他
文献类型:
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作者:
Xiang Du;R. Fletcher;P. Fowler

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摘要 我们提出了一种新的垂直对称轴 (VTI) 介质横观各向同性 qP 波的近似偏微分方程。我们分析了它与另外两个已发表的“赝声”VTI 方程的关系。所有三个伪声学 VTI 波动方程都是二阶 PDE 时间耦合系统,通过引入不同的辅助函数从 qP 波的相同色散关系导出。新方法结合了高效的实施和低工件。模型和逆时偏移被用来验证波动方程。
SUMMARY We propose a new approximate partial differential equation for qP-waves in transverse isotropy with a vertical symmetry axis (VTI) media. We analyse its relationship to two other published "pseudo-acoustic" VTI equations. All three pseudo-acoustic VTI wave equations are coupled systems of second-order PDEs in time, derived from the same dispersion relation for qP waves by introducing different auxiliary functions. The new method combines efficient implementation and low artifacts. Modeling and reversetime migration are shown to validate the wave equation.