摘要
本文对波动方程差分偏移方法中的误差估计和参数选择问题作了一定的理论探讨,并给出其实际应用。首先简略回顾二维小倾角差分偏移的基本理论和算式,在此基础上导出误差估计的理论公式。该公式同时考虑边界、算法和迭代计算等各种误差的综合影响,不仅给出一次计算的误差,而且给出这种误差的传播和积累特点。对误差公式的进一步分析表明,误差的大小既与计算点位置有关,也与参数选择密切有关。进一步从减小误差的角度出发,可以得到对实际有用的某些结果:边界处理技巧以及参数选择的一种判则。
Abstract
The wave equation differential migration algorithm has found its wide application in seismic migration. But the study of error estimation and parameter selection hasn't riveted much of our attention yet. In this paper, the problem is discussed in theory and some examples are given.The author first reviewed the basic principles and the algorithms about 2-D differential migration for small dip, then derived the theoretical formulae for the estimation of errors. In order to meet the actual requirements, he made an estimation about the comprehensive impact on the boundary conditions and the approximate calculation as well as its characters in propagating and accumulating and their errors are given also.Further examination indicates that errors may have much to do with positions of computing points as well as the selection of parameters.
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