基于多尺度迭代求解三维频率-空间域声波方程的全波形速度反演研究-理论模型

Research on multiscale iterative three dimensional acoustic wave full waveform velocity inversion in frequency-space domain-theoretical model

使用广义最小残量方法迭代求解三维频率-空间域声波方程,反演时使用多尺度、多重网格的策略,探讨了如何快速实现高分辨率的三维频率-空间域迭代法声波全波形速度反演.通过对理论模型进行三维频率-空间域迭代法声波全波形反演数值试验,证实该方法的计算速度快、计算效率高,反演所得速度的分辨率高.从而为基于多尺度迭代求解三维频率-空间域声波方程的全波形速度反演成像打下方法基础.

Using an effective GMRES iterative method to solve two way acoustic wave equation in three-dimensional frequency space domain, using multiscale and multigrid strategy in inversion procedure, we discuss how to quickly realize a high precision and high resolution 3D frequency space domain iterative full waveform velocity inversion （fwi）. We use this three-dimensional frequency-space domain acoustic wave full waveform velocity inversion method on a synthetic data. Numerical experiments demonstrate that this method has a high computational efficiency, the spatial resolution of inversion results is high. Which providing a good foundation for the three-dimensional frequency-space domain iterative acoustic wave full waveform velocity inversion on real field data.