闭合差线性分解分析技术

ANALYTICAL TECHNIQUE FOR MIS-TIE BY LINEAR DECOMPOSITION

闭合差一直是地震资料解释中的一个大问题。在以振幅反演为核心的特殊处理资料中,这个问题尤为突出。测线间的闭合差主体呈系统性。每条测线的系统误差是不一致的,不能用平均法校正,须具体求出各测线的系统误差。 本文提供一种全区交点闭合差统一线性分解分析法,即将任一测线误差线性分解为系统误差和随机误差之和。对随机误差作某种假设,建立各测线系统误差和闭合差的关系式,组成线性方程组。给系统误差适当约束,即可求解出各测线的系统误差。分别校正系统误差和随机误差,便完成闭合差校正。最后以一实例来说明该方法的有效性。

Mis-tic is a big problem in seismic data interpretation, especially with data processed with the emphasis on amplitude inversion. The mis-tics among survey lines appear to be systematic. Such systematic errors arc different from line to line. The averaging procedure is therefore unsuitable for correction and systematic error on each line has to be separately computed. In this paper, we present a linear decomposition technique for globally analyzing mis-tics inter sections in an entire area, in which the mis-tics on lines are linearly decomposed into systematic errors and random errors. A certain hypothesis is then made for the random errors and a set of equations is established to relate the systematic errors to mis-tie for each line. The systematic error on each line is derived by applying an appropriate restraint. Via respectively correcting the systematic and random errors, the correction for mis-tic is finally implemented. A practical example is given to demonstrate the effectiveness of the method.