On Identifying Magnetized Anomalies Using Geomagnetic Monitoring

Youjun Deng, Jinhong Li, Hongyu LIU*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We propose and investigate the inverse problem of identifying magnetized anomalies beneath the Earth using geomagnetic monitoring. Suppose a collection of magnetized anomalies are presented in the shell of the Earth. The presence of the anomalies interrupts the magnetic field of the Earth, as monitored from above the Earth. Using the difference of the magnetic fields before and after the presence of the magnetized anomalies, we show that one can uniquely recover the locations as well as their material parameters of the anomalies. Our study provides a rigorous mathematical theory for the geomagnetic detection technology that has been used in practice.

Original languageEnglish
Pages (from-to)153-187
Number of pages35
JournalArchive for Rational Mechanics and Analysis
Volume231
Issue number1
DOIs
Publication statusPublished - 22 Jan 2019

Scopus Subject Areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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