Year: 2023
Author: Datong Zhou, Jing Chen, Hao Wu, Dinghui Yang, Lingyun Qiu
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 437–457
Abstract
In this paper, we apply the Wasserstein-Fisher-Rao (WFR) metric from the unbalanced optimal transport theory to the earthquake location problem. Compared with the quadratic Wasserstein ($W_2$) metric from the classical optimal transport theory, the advantage of this method is that it retains the important amplitude information as a new constraint, which avoids the problem of the degeneration of the optimization objective function near the real earthquake hypocenter and origin time. As a result, the deviation of the global minimum of the optimization objective function based on the WFR metric from the true solution can be much smaller than the results based on the $W_2$ metric when there exists strong data noise. Thus, we develop an accurate earthquake location method under strong data noise. Many numerical experiments verify our conclusions.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.2109-m2021-0045
Journal of Computational Mathematics, Vol. 41 (2023), Iss. 3 : pp. 437–457
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: The Wasserstein-Fisher-Rao metric The quadratic Wasserstein metric Inverse theory Waveform inversion Earthquake location.
Author Details
-
A Machine Learning Framework for Geodesics Under Spherical Wasserstein–Fisher–Rao Metric and Its Application for Weighted Sample Generation
Jing, Yang | Chen, Jiaheng | Li, Lei | Lu, JianfengJournal of Scientific Computing, Vol. 98 (2024), Iss. 1
https://doi.org/10.1007/s10915-023-02396-y [Citations: 0] -
Square Root Normal Fields for Lipschitz Surfaces and the Wasserstein Fisher Rao Metric
Hartman, Emmanuel | Bauer, Martin | Klassen, EricSIAM Journal on Mathematical Analysis, Vol. 56 (2024), Iss. 2 P.2171
https://doi.org/10.1137/22M1544452 [Citations: 0]