摘要
克莱鲍特(Clearbout)偏移方程和大倾角偏移方程在计算机上实现可以归结为纯相位滤波,因而适用于振幅保持处理.但由于此两种方法的波散现象,存在绕射波收敛不完全等问题.本文讨论高阶偏微分方程与波散的关系,给出了三阶、四阶和五阶偏微分方程的波数曲线,提出了55度偏移的差分方程及其在计算机上的算法.
Abstract
The success of computerization of Claerbout's migration and the large dip-angle migration might be summed up as "Pure Phase Filter", it is suitable for the processing of the amplitude reservation. Merely the wave dispersion, the convergency of diffracted wave is, in most cases, incomplete. This paper deals with the relationship between the higher partial differential equation and the wave dispersion. The wave-number curves of cubic, quartic and quintic partial differential equation, the differencing equation and its algorithm for 55°migration have been derived.