# On identifying magnetized anomalies using geomagnetic monitoring II. A Magnetohydrodynamic Model

## TL;DR

This paper advances geomagnetic anomaly detection by developing a rigorous mathematical framework based on a complex magnetohydrodynamic model rooted in dynamo theory, improving the understanding of Earth's magnetic field variations.

## Contribution

It extends previous linear Maxwell models to a more sophisticated magnetohydrodynamic model for identifying anomalies, providing new theoretical insights.

## Key findings

- Established conditions for unique anomaly recovery.
- Extended the model from Maxwell to magnetohydrodynamics.
- Enhanced the theoretical foundation for geomagnetic detection.

## Abstract

This paper is a continuation and an extension of our recent work [13] on the identification of magnetized anomalies using geomagnetic monitoring, which aims to establish a rigorous mathematical theory for the geomagnetic detection technology. Suppose a collection of magnetized anomalies is presented in the shell of the Earth. By monitoring the variation of the magnetic field of the Earth due to the presence of the anomalies, we establish sufficient conditions for the unique recovery of those unknown anomalies. In [13], the geomagnetic model was described by a linear Maxwell system. In this paper, we consider a much more sophisticated and complicated magnetohydrodynamic model, which stems from the widely accepted dynamo theory of geomagnetics.