Open AccessAPPLICATION OF THE WASSERSTEIN METRIC TO SOLVING THE INVERSE DYNAMIC SEISMIC PROBLEM
Author(s) -
Alexey Aleksandrovich Vasilenko
Publication year - 2019
Publication title -
interèkspo geo-sibirʹ
Language(s) - English
Resource type - Journals
ISSN - 2618-981X
DOI - 10.33764/2618-981x-2019-2-2-234-240
Subject(s) - metric (unit) , inverse problem , inverse , norm (philosophy) , wasserstein metric , mathematics , work (physics) , mathematical optimization , computer science , mathematical analysis , geometry , physics , engineering , operations management , political science , law , thermodynamics
The inverse dynamic problem of seismic consists in recovering the velocity model of elastic medium based on the observed seismic data. In this work it is proposed to use the Wasserstein metric since its use reduces the number of local extremes of the target functional in comparison with the L2-norm.This work also presents and discusses the results of numerical experiments including a comparative analysis of the velocity models recovered using the Wasserstein metric and L2-norm.