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波动方程偏移技术已经受到普遍重视,它是地震资料数字处理中的重要课题之一.对这个十分重要的问题,就目前来说,是要重视研究具体算法和在计算机上的实现步骤.目前国内许多兄弟单位正在试验的或使用的波动方程偏移是克莱鲍特(Claerbout)有限差分方程.这个方程只适用于倾角小于15度的地层,在地层倾角比较大的地区,效果不好,计算工作量还比较大.为了提高计算速度,我们提出了变步长Δτ法供同志们参考.波动方程差分法明显的优点是噪声小,没有“划弧”现象,但怎样使它能用于大倾斜地层偏移,尚待努力.我们参考的办法,消去对z(深度方向)的二阶导数项,忽略对z的三阶导数项.但我们不作这篇文章中的傅氏变换处理,而是直接对三阶偏微分方程进行差分,所
It is one of the most important issues in the digital processing of seismic data that the most important issue for now is to pay attention to the study of specific algorithms and implementation steps on computers. Many of the fraternal units in China are experimenting or using the wave equation migration as the Claerbout finite difference equation. This equation is only valid for strata with dip angles less than 15 degrees and is not effective in areas with large dip angles, The computational workload is still relatively large.In order to improve the computational speed, we propose a variable step Δτ method for gay reference.Variable wave equation differential method has the advantage of small noise, there is no “arc” phenomenon, but how it can be used to We have to work out the second derivative of z (depth direction) and neglect the third derivative of z, but we will not deal with the Fourier transform in this article, Instead, it directly differentiates the third-order partial differential equations