IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

Youjun Deng; Hongyu Liu; Wing-Yan Tsui

doi:10.3934/dcds.2020285

IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

Youjun Deng, Hongyu Liu^*, Wing-Yan Tsui

^*Corresponding author for this work

Department of Mathematics

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

13 Citations (Scopus)

Abstract

We are concerned with the inverse problem of identifying magnetic anomalies with varying parameters beneath the Earth using geomagnetic monitoring. Observations of the change in Earth's magnetic field-the secular variation-provide information about the anomalies as well as their variations. In this paper, we rigorously establish the unique recovery results for this magnetic anomaly detection problem. We show that one can uniquely recover the locations, the variation parameters including the growth or decaying rates as well as their material parameters of the anomalies. This paper extends the existing results in [9] by two of the authors to the more practical and challenging scenario with varying anomalies.

Original language	English
Pages (from-to)	6411-6440
Journal	Discrete and Continuous Dynamical Systems
Volume	40
Issue number	11
DOIs	https://doi.org/10.3934/dcds.2020285
Publication status	Published - Nov 2020

Research Keywords

Geomagnetic monitoring
magnetic anomaly detection
varying anomalies
unique recovery
inverse problem

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10.3934/dcds.2020285

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title = "IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING",

abstract = "We are concerned with the inverse problem of identifying magnetic anomalies with varying parameters beneath the Earth using geomagnetic monitoring. Observations of the change in Earth's magnetic field-the secular variation-provide information about the anomalies as well as their variations. In this paper, we rigorously establish the unique recovery results for this magnetic anomaly detection problem. We show that one can uniquely recover the locations, the variation parameters including the growth or decaying rates as well as their material parameters of the anomalies. This paper extends the existing results in [9] by two of the authors to the more practical and challenging scenario with varying anomalies.",

keywords = "Geomagnetic monitoring, magnetic anomaly detection, varying anomalies, unique recovery, inverse problem, MAXWELLS EQUATIONS, Geomagnetic monitoring, magnetic anomaly detection, varying anomalies, unique recovery, inverse problem, MAXWELLS EQUATIONS, Geomagnetic monitoring, magnetic anomaly detection, varying anomalies, unique recovery, inverse problem",

author = "Youjun Deng and Hongyu Liu and Wing-Yan Tsui",

year = "2020",

month = nov,

doi = "10.3934/dcds.2020285",

language = "English",

volume = "40",

pages = "6411--6440",

journal = "Discrete and Continuous Dynamical Systems",

issn = "1078-0947",

publisher = "AIMS Press",

number = "11",

}

TY - JOUR

T1 - IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

AU - Deng, Youjun

AU - Liu, Hongyu

AU - Tsui, Wing-Yan

PY - 2020/11

Y1 - 2020/11

N2 - We are concerned with the inverse problem of identifying magnetic anomalies with varying parameters beneath the Earth using geomagnetic monitoring. Observations of the change in Earth's magnetic field-the secular variation-provide information about the anomalies as well as their variations. In this paper, we rigorously establish the unique recovery results for this magnetic anomaly detection problem. We show that one can uniquely recover the locations, the variation parameters including the growth or decaying rates as well as their material parameters of the anomalies. This paper extends the existing results in [9] by two of the authors to the more practical and challenging scenario with varying anomalies.

AB - We are concerned with the inverse problem of identifying magnetic anomalies with varying parameters beneath the Earth using geomagnetic monitoring. Observations of the change in Earth's magnetic field-the secular variation-provide information about the anomalies as well as their variations. In this paper, we rigorously establish the unique recovery results for this magnetic anomaly detection problem. We show that one can uniquely recover the locations, the variation parameters including the growth or decaying rates as well as their material parameters of the anomalies. This paper extends the existing results in [9] by two of the authors to the more practical and challenging scenario with varying anomalies.

KW - Geomagnetic monitoring

KW - magnetic anomaly detection

KW - varying anomalies

KW - unique recovery

KW - inverse problem

KW - MAXWELLS EQUATIONS

KW - Geomagnetic monitoring

KW - magnetic anomaly detection

KW - varying anomalies

KW - unique recovery

KW - inverse problem

KW - MAXWELLS EQUATIONS

KW - Geomagnetic monitoring

KW - magnetic anomaly detection

KW - varying anomalies

KW - unique recovery

KW - inverse problem

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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85089899347&origin=recordpage

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U2 - 10.3934/dcds.2020285

DO - 10.3934/dcds.2020285

M3 - RGC 21 - Publication in refereed journal

SN - 1078-0947

VL - 40

SP - 6411

EP - 6440

JO - Discrete and Continuous Dynamical Systems

JF - Discrete and Continuous Dynamical Systems

IS - 11

ER -

IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

Abstract

Research Keywords

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GRF: Mathematical and Computational Studies of Geomagnetic Anomaly Detections

GRF: Mathematical Analysis on Scattering from Corner Singularities, Inverse Shape Problems and Geometric Structures of Transmission Eigenfunctions

GRF: Some Theoretical and Numerical Studies for Inverse Problems in Wave Propagations

Cite this

IDENTIFYING VARYING MAGNETIC ANOMALIES USING GEOMAGNETIC MONITORING

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

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Projects

GRF: Mathematical and Computational Studies of Geomagnetic Anomaly Detections

GRF: Mathematical Analysis on Scattering from Corner Singularities, Inverse Shape Problems and Geometric Structures of Transmission Eigenfunctions

GRF: Some Theoretical and Numerical Studies for Inverse Problems in Wave Propagations

Cite this