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| 基于自动微分的图空间最优输运全波形反演 | |
| 引用本文： | 唐杰, 孟涛, 刘英昌, 孙成禹. 2022. 基于自动微分的图空间最优输运全波形反演. 地球物理学报, 65(7): 2704-2718, doi: 10.6038/cjg2022P0293 |
| 作者姓名： | 唐杰 孟涛 刘英昌 孙成禹 |
| 作者单位： | 中国石油大学(华东)地球科学与技术学院,山东青岛 266580 |
| 基金项目： | 国家自然科学基金项目（41504097，42174140）资助 |
| 摘 要： |  全波形反演能够利用地震波场信息进行高分辨率地下介质速度建模，具有精确刻画模型细节特征的潜力.传统的全波形反演以L2范数作为目标函数，逐样本比较观测地震数据和合成地震数据之间差异，利用伴随状态法求解梯度.由于全波形反演是高度非线性的，当初始模型不准确时，反演结果容易陷入局部极小值.本文提出使用具有全局比较能力的图空间最优输运Sinkhorn距离作为目标函数.  |
| 关 键 词： | 全波形反演 最优输运 图空间变换 Sinkhorn距离 自动微分 |
| 收稿时间： | 2021-07-26 |
| 修稿时间： | 2021-12-12 |
Full waveform inversion method based on automatic differentiation and graph space optimal transport |
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| TANG Jie, MENG Tao, LIU YingChang, SUN ChengYu. 2022. Full waveform inversion method based on automatic differentiation and graph space optimal transport. Chinese Journal of Geophysics (in Chinese), 65(7): 2704-2718, doi: 10.6038/cjg2022P0293 | |
| Authors: | TANG Jie MENG Tao LIU YingChang SUN ChengYu |
| Affiliation: | School of Geosciences, China University of Petroleum (East China), Qingdao Shandong 266580, China |
| Abstract: | Full waveform inversion (FWI) is able to model the velocity of high-resolution subsurface medium by using the seismic wavefield information, and has the potential to accurately describe the detailed characteristics of the model. The conventional FWI takes the L2 norm as the objective function to compare the differences between observed and synthetic seismic data and uses the adjoint state method to solve the gradient. FWI is highly nonlinear and tends to fall into local minimum when the initial model is inaccurate. This paper proposes the optimal transport Sinkhorn distance with global comparison capability as the objective function. The graph space Sinkhorn distance has desirable convexity to time shift and amplitude change, which can effectively address cycle-skipping and improve the inversion result.  By using the theory-guided data science algorithm, the FWI can be transformed into the deep learning optimization problem. The partial differential equation constraint is used to optimize the model parameters in the wave equation to characterize the geophysical properties of the medium. The inversion gradient is calculated by automatic differentiation, and the model is updated by Adam optimization algorithm. The model test results show that the method can obtain good inversion results and has strong noise robustness, less dependence on the seismic wavelet and the initial model. |
| Keywords: | Full waveform inversion Optimal transport Graph space transform Sinkhorn distance Automatic differentiation |
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