石油地震勘探数据叠前速度反演稳定性初步分析

基于一维层状声学介质理论,对点震源激发的三维球面波反射波叠前数据(二维)的速度反演稳定性进行初步分析.笔者提出了一个反演方法,并在文中发表了用这个方法从海洋石油地震数据得到的叠前反演速度剖面.但这一方法的实现(计算数学上称之为递推.地球物理勘探上称之为剥层)是复杂的,稳定性分析这一关键问题也是复杂的.所以,初步分析集中于反演计算的核心步骤:在层状介质中平面波传播方程的计算.文中给出了波阻抗函数的结构繁度的定义,并提出了一个涉及反演稳定性与波阻抗函数结构繁度的定理.阐明了何时及如何利用这个反演方法得到较精确的反演速度.

STABILITY ANALYSIS OF PRESTACK VELOCITY INVERSION OF PETROLEUM SEISMIC DATA

In this paper it is analysed preliminarily that the velocity inversion stability of 2D prestack data from 1D stratified media which was shot with a point source. The author offers an inversion method and the prestack velocity inversion section of offshore seismic data. However,this method (called recursion mathematically or stripping geophysically ) is complex ,especially the key issue-stability analysis. Therefore. In the paper it is mainly analysed that the kernel step of inversion calculation: plannar wave propagation in stratified media. The author also offers a definition of impedance function complexity,presents a theorem which reveals that inversion stability is related to the complexity of impedance function, and further explains when and how to use this inversion method to obtain a more exact inversion velocity.