Locating multiple magnetized anomalies by geomagnetic monitoring

TL;DR

This paper introduces a new numerical method for locating multiple magnetized anomalies in Earth's shell by analyzing geomagnetic field variations, without prior knowledge of the Earth's core or anomaly configurations.

Contribution

A novel imaging functional and numerical scheme for identifying multiple magnetized anomalies from geomagnetic data, with rigorous analysis and numerical validation.

Findings

Effective localization of anomalies demonstrated through numerical experiments

The scheme does not require prior knowledge of Earth's core or anomaly configurations

Quantitative behaviors of the imaging functional enable anomaly identification

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.