Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation
Arbitrary Difference Precise Integration Method for Solving the Seismic Wave Equation
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发表时间：
2004
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通讯作者：
JiaXiaofeng;WangRunqiu;HuTianyue
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作者：
JiaXiaofeng;WangRunqiu;HuTianyue
波动方程偏移常用于解决地震成像问题。波动方程的数值解通常采用有限差分法。本文讨论了任意差分精细积分法（ADPI），并将其应用于地震偏移。ADPI方法有其独特的思想。在空间域中离散坐标时，它采用了一种相对自由的形式，而不是传统的有限差分法所采用的形式。在时域上采用子域精细积分法。因此，该方法不仅具有精度高、带宽窄的优点，而且可以处理各种边界条件，更好地描述非均匀介质的特性。数值结果表明，所提出的算法使用ADPI方法的好处。
Wave equation migration is often applied to solve seismic imaging problems. Usually, the finite difference method is used to obtain the numerical solution of the wave equation. In this paper,the arbitrary difference precise integration (ADPI) method is discussed and applied in seismic migration. The ADPI method has its own distinctive idea. When dispersing coordinates in the space domain, it employs a relatively unrestrained form instead of the one used by the conventional finite difference method. Moreover, in the time domain it adopts the sub-domain precise integration method. As a result, it not only takes the merits of high precision and narrow bandwidth, but also can process various boundary conditions and describe the feature of an inhomogeneous medium better. Numerical results show the benefit of the presented algorithm using the ADPI method.