Locating multiple magnetized anomalies by geomagnetic monitoring
Abstract
The presence of magnetized anomalies in the shell of the Earth interrupts its geomagnetic field. We consider the inverse problem of identifying the anomalies by monitoring the variation of the geomagnetic field. Motivated by the theoretical unique identifiability result in [5], we develop a novel numerical scheme of locating multiple magnetized anomalies. In our study, we do not assume that the source that generates the geomagnetic field, and the medium configurations of the Earth's core and the magnetized anomalies are a-priori known. The core of the reconstruction scheme is a novel imaging functional whose quantitative behaviours can be used to identify the anomalies. Both rigorous analysis and extensive numerical experiments are provided to verify the effectiveness and promising features of the proposed reconstruction scheme.
Keywords
Cite
@article{arxiv.2301.12218,
title = {Locating multiple magnetized anomalies by geomagnetic monitoring},
author = {Rongliang Chen and Youjun Deng and Yang Gao and Jingzhi Li and Hongyu Liu},
journal= {arXiv preprint arXiv:2301.12218},
year = {2023}
}