地震波速度反演的平方尺度二次Wasserstein度量
The Quadratic Wasserstein Metric With Squaring Scaling For Seismic Velocity Inversion
摘要：
二次Wasserstein度量在测量概率密度之间的差异方面显示出其强大的功能，这有利于优化具有更好凸性的目标函数，并且对数据噪声不敏感。然而，使地震信号适合于使用二次Wasserstein度量进行比较一直是一个重要的问题。平方缩放是值得探索的，因为它保证了由数据移位引起的凸性。如前所述，信息系统，2019，19：95-145]，平方缩放可能会失去唯一性，并导致失配函数的更多局部最小值。在我们以前的工作[J。物理、2018，373：188-209]，具有平方缩放的二次Wasserstein度量被成功地应用于地震定位问题。但只讨论了少自由度的反问题。在这项工作中，我们将提出一个更深入的研究平方缩放技术和二次Wasserstein度量的组合。通过剔除部分不适用的数据，提取地震震相，并发展了一种新的归一化方法，我们成功地基于平方尺度技术和二次Wasserstein度量反演了地震速度结构。数值实验表明，该方法是一种获得更精确反演结果的有效方法。
英文摘要：
The quadratic Wasserstein metric has shown its power in measuring the difference between probability densities, which benefits optimization objective function with better convexity and is insensitive to data noise. Nevertheless, it is always an important question to make the seismic signals suitable for comparison using the quadratic Wasserstein metric. The squaring scaling is worth exploring since it guarantees the convexity caused by data shift. However, as mentioned in [Commun. Inf. Syst., 2019, 19:95-145], the squaring scaling may lose uniqueness and result in more local minima to the misfit function. In our previous work [J. Comput. Phys., 2018, 373:188-209], the quadratic Wasserstein metric with squaring scaling was successfully applied to the earthquake location problem. But it only discussed the inverse problem with few degrees of freedom. In this work, we will present a more in-depth study on the combination of squaring scaling technique and the quadratic Wasserstein metric. By discarding some inapplicable data, picking seismic phases, and developing a new normalization method, we successfully invert the seismic velocity structure based on the squaring scaling technique and the quadratic Wasserstein metric. The numerical experiments suggest that this newly proposed method is an efficient approach to obtain more accurate inversion results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
