中文摘要：

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．

英文摘要：

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.