高分辨率的频率空间域声波全波形速度反演-理论模型

High resolution acoustic wave full waveform velocity inversion in frequency space domain-theoretical model

使用最速下降法进行二维频率空间域声波波动方程全波形速度反演,讨论了如何快速实现高精度的二维频率空间域声波波动方程全波形速度反演.多尺度的思想耦合在反演框架中.把非线性问题化为逐步线性问题是我们关注的焦点,目的是把整个非线性反演的黑匣子转化成为每一步可控的过程,尽可能得到想要的反演解.仅仅使用3个离散的频率,每个频率迭代10次,对广角Marmousi模型进行地面地震声波全波形速度反演,反演得到高分辨率、高精度的速度,为全波形反演实际资料奠定了很好的基础.

We use the steepest descent method based on two-dimensional frequency space dornain acoustic wave equation for full waveform velocity inversion, discuss how to quickly realize high precision two-dimensional frequency domain full waveform velocity inversion. Multi scale criterial is coupling in the inversion framework. The nonlinear problem changes into gradually linear problem is our focus. The purpose is the whole nonlinear inverse black box into every step of controllable process as far as possible, getting an inversion solution we want. Use only three discrete frequencies, each frequency iterative ten times, we make surface seismic acoustic wave full waveform inversion on extended Marmousi and get a high resolution and high precision imaging of velocity. This gives a good foundation for full waveform inversion on real field data.