One-step extrapolation method for reverse time migration
One-step extrapolation method for reverse time migration
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DOI：
10.1190/1.3123476
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发表时间：
2009-05
期刊：
影响因子：
3.3
通讯作者：
Yu Zhang;Guanquan Zhang
中科院分区：
文献类型：
--
作者：
Yu Zhang;Guanquan Zhang
本文提出了一种求解声波方程的新方法--一步外推法。通过引入一个平方根算子，双程波方程可以表示为一个关于时间的一阶偏微分方程，这类似于单程波方程。为了求解新的波动方程，我们在时间方向上使用了稳定的显式外推方法，并在空间和波数域中处理了横向速度变化。与传统的显式有限差分格式不同，新方法不受数值不稳定性或数值色散问题的影响。它可用于设计具有成本效益和高质量的逆时迁移或建模代码。
We have proposed a new method, a one-step extrapolation algorithm, to solve the acoustic wave equation. By introducing a square-root operator, the two-way wave equation can be formulated as a first-order partial differential equation in time, which is similar to the one-way wave equation. To solve the new wave equation, we used a stable explicit extrapolation method in the time direction and handled lateral velocity variations in the space and wavenumber domains. Unlike the conventional explicit finite-difference schemes, the new method does not suffer from numerical instability or numerical dispersion problems. It can be used to design cost-effective and high-quality reverse time migration or modeling code.