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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。
In this paper, some theoretical discussions are made on the error estimation and parameter selection in the wave equation differential migration method, and its practical application is given. First of all, we briefly review the basic theories and formulas of two-dimensional small tilt differential migration, and derive the theoretical formula of error estimation based on this. The formula takes into account the combined effects of various errors such as boundaries, algorithms and iterative calculations. It not only gives a calculation error, but also gives the propagation and accumulation characteristics of the error. Further analysis of the error formula shows that the size of the error is not only related to the position of the calculated point, but also closely related to the parameter selection. Further from the point of view of reducing the error, we can get some results that are actually useful: boundary treatment techniques and a criterion of parameter selection.