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地震波传播的复杂性所引起的地震反演中强烈的非线性问题是目前全波形反演在技术上遇到的最大难题,了解全波形反演中不同的目标函数随不同物性参数的不同摄动尺度的变化性态,对选择合理的反演方法和反演策略具有重要意义.本文参照Jannane等对波形反演目标函数性态的分析方法,通过变密度声波方程,分析了多种地震数据子集的不同目标函数随物性参数的摄动尺度的变化关系,重点分析了它们的非线性程度,为进行分步骤、分尺度全波形反演方法和反演策略的选择提供了理论指导.
The strong nonlinear problem in seismic inversion caused by the complexity of seismic wave propagation is the most technically difficult problem encountered by full waveform inversion. Understanding the different perturbations of different objective functions with different physical parameters in full waveform inversion The change of scale is of great significance to the selection of reasonable inversion methods and inversion strategies.In this paper, Jannane et al. Analyzed the character of target function of waveform inversion by using variable density acoustic wave equation, analyzed a variety of seismic data The different objective functions of the set vary with the perturbation scales of the physical parameters, and their non-linearities are analyzed emphatically. This study provides theoretical guidance for the choice of step-by-step and sub-scale full waveform inversion methods and inversion strategies.