Full Waveform Inversion based on Genetic Local Search Algorithm with Hybrid-Grid Scheme

Masaki Hamamoto, Abdul Rahim Md Arshad, Deva Prasad Ghosh
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Abstract

Seismic full waveform inversion (FWI) is a technique to build a high-resolution velocity model of the subsurface by iteratively minimizing the misfit between recorded and synthesized seismic data. However, classical FWI driven by gradient-based local optimization is vulnerable to local minima caused by lack of low-frequency components and an accurate initial model. Although global optimization methods such as genetic algorithm (GA) are less affected by the presence of local minima, those methods are affected by "curse of dimensionality." This results in low-resolution model less than optimum solution. Therefore, we propose an FWI method based on genetic local search algorithm with hybrid-grid scheme (HGLS-FWI). This method combines GA with coarse grid as a global search and gradient-based optimization with fine grid as a local search to directly deliver high-resolution model, while reducing the risk to be trapped in a local minimum. Our experimental results demonstrated that the proposed method reduced the average velocity estimation error by 62% compared with a classical gradient-based FWI on the condition that neither low-frequency components nor an accurate initial model was available.
基于混合网格遗传局部搜索算法的全波形反演
地震全波形反演(FWI)是一种通过迭代最小化记录和合成地震数据之间的不拟合来建立地下高分辨率速度模型的技术。然而,基于梯度的局部优化驱动的经典FWI由于缺乏低频分量和精确的初始模型,容易出现局部极小值。尽管遗传算法(GA)等全局优化方法受局部极小值的影响较小,但这些方法受到“维数诅咒”的影响。这导致低分辨率模型小于最优解。因此,我们提出了一种基于混合网格方案的遗传局部搜索算法(HGLS-FWI)的FWI方法。该方法将遗传算法与粗网格相结合作为全局搜索,将梯度优化与细网格相结合作为局部搜索,直接提供高分辨率模型,同时降低了陷入局部最小值的风险。实验结果表明,在没有低频分量和精确初始模型的情况下,与传统的基于梯度的FWI相比,该方法的平均速度估计误差降低了62%。
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