The exploration capacity of full waveform inversion (FWI) for deep targets is affected by the acquisition geometry, the complexity of overlying strata, and the dip angle of the target. It is of great importance to analyze the relationship between the dip angle of the target reflector and the incident/scattered angle of the wavefields near the target, to achieve the illumination distribution and improve the inversion quality accordingly. We propose an angle domain illumination compensated FWI strategy, which utilizes the local resolution function as preconditioning to the gradient of FWI in the local angle domain, to improve the inversion capability for deep targets. The local resolution function describes the inversion capacity for the local target in the target dip coordinate, which can be generated from the local illumination matrix that contains the illumination information for the target from the different incident and scattering directions. The Marmousi model and the SEG/EAGE salt model are used to show the validity of this method. Results from the numerical experiments prove that the proposed method can effectively improve the inversion performance as well as increase the convergence of FWI.

中文翻译：

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角域照明补偿全波形反演

深部目标全波形反演（FWI）的勘探能力受采集几何、上覆地层复杂程度和目标倾角的影响。分析目标反射体的倾角与目标附近波场的入射/散射角之间的关系，对于实现光照分布和相应提高反演质量具有重要意义。我们提出了一种角域光照补偿FWI策略，该策略利用局部分辨率函数作为局部角域FWI梯度的预处理，以提高深度目标的反演能力。局部分辨率函数描述了目标倾角坐标中局部目标的反演能力，可以从包含来自不同入射和散射方向的目标的照明信息的局部照明矩阵生成。Marmousi 模型和 SEG/EAGE 盐模型用于证明该方法的有效性。数值实验结果证明，该方法可以有效提高反演性能，提高FWI的收敛性。