摘要
长期以来人们普遍采用15°波动方程和π／4坐标旋转全波方程偏移算法。这两种算法尽管采用形式上完全相同的方程，但由于参照不同的坐标变换，所以形成两种完全不同的算法。两种算法互有长短，又互相不能取代，因而两种算法一直处于并存状态。本文提出一个新的坐标又换，可得到一套新的波动方程偏移算法。这种坐标变换含有一个可变参数，每个不同的对应一个不同的偏移算法。以上两种著名算法（15°算法和全倾角算法）所采用的互相孤立的坐标变换只是本文给出的坐标变换的两个特例。由此可见，本文所述的通过多数少的变化算法，覆盖了15°算法和全倾角算法及其之间的全部算法空档。此项研究已实现了含有参数的二维和三维偏移程序设计。这样，当你不满足于15°方程的精度而又担心全倾角算法干扰背景大时，可以选择较适中的使你满意的算法。文中给出的图例演示了这一算法系列的效果变化过程。
People usually use the migration algorithms of 15° wave equation and full waveequation in π/4 revolved coordinate system. In spite of the fact that their equationsare alike in the form,the two algorithms are entirely different from each other be-cause of their different coordinate transforms. The two algorithrns have their ownadvantages;therefore,they are coexistent and not replaceable each other. A new coordinate transform is here introduced to obtain a new family of wave equation migration algorithms. This coordinate transform has a variable W,each gh value corresponding to a migration algorithm. The coordinate transforms adopted in the above twoalgorithms are only the special cases of the new coordinate transform in this paperIt can be hence seen that the algorithm family resulting from variable gh covers a series of algorithms ranging from 15° algorithm to all dip algorithm.This research achieves the design of 2-D and 3-D migration programs havingvariable . Consequently,you may choose a desirable algorithm when you are notsatisfied with both the accuracy of 15° wave equation and thetheay noise background due to all dip algorithm. Some illustrations show you the fact that the seriesof algorithms result in variant effects.
出处
《石油地球物理勘探》
EI
CSCD
北大核心
1994年第1期1-10,共10页
Oil Geophysical Prospecting
关键词
偏移算法
波动方程
地震波
15° equation, coordinate revolution, coordinate transform, migration algorithm
