倾角校正分析中的“精确log DMO”法

Precise log DMO" for DMO analysis

以Hale法为基础的频率—波数域DMO，通过运用对数变换，导出一系列快速近似方法。其中，尤以“精确logDMO”法为最理想。它既有与Hale法几乎相同的效果，又保持了拉伸法的快速，还很好地克服了拉伸法浅层畸变等不利因素。此方法的理论结果与实例的比较，在Liner的文章[3][4]中得到了充分的展示。可惜的是，该文仅仅提供了最终结果，略去了全部推导过程。随着该结果越来越广泛地得到应用，补充其推导过程，对方法的应用，可望大有帮助。

We have derived a set of approximations to Hale's DMO algorithm in f-k domain via a logarithmic transform. Among them the so-called 'Precise log DMO'method is supposed to be the idealest, since it integrates the fcaturcs of the rapidity of 'stretching method' in implementation and the nearly identical results given by 'Hale method' as well as the cxclusion of shallow layers'distortion inheret in the 'strctching method '. Liner has presented convincing evidences for the above arguments by comparing the results of theoretical computation using the methood with real data. The pity is that there is no information concerning the origin of the method in his paper.Such a drawback is now made up in the paper.The derivation of the method present here might be beneficial to its prospective and extensitre application.