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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.
Based on the one-dimensional layered acoustic media theory, the velocity inversion stability of the prestack data (two-dimensional) of a three-dimensional spherical wave excited by a point source is analyzed preliminarily. The author presents an inversion method and in this paper, This method is derived from prestack velocity profiles derived from offshore oil seismic data, but the implementation of this method (computationally called recursion. Geophysical prospecting is called delamination) is a complex, stability analysis of Therefore, the preliminary analysis focuses on the core steps of inversion calculation: the calculation of the plane wave propagation equation in layered media.The definition of the structural impedance of wave impedance function is given in this paper, The stability of the inversion and the structure of wave impedance function, and expounds how and how to use this inversion method to get more accurate inversion speed.