TY - JOUR
T1 - On Identifying Magnetized Anomalies Using Geomagnetic Monitoring
AU - Deng, Youjun
AU - Li, Jinhong
AU - Liu, Hongyu
PY - 2019/1/22
Y1 - 2019/1/22
N2 - 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.
AB - 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.
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85049592782&origin=recordpage
U2 - 10.1007/s00205-018-1276-7
DO - 10.1007/s00205-018-1276-7
M3 - RGC 21 - Publication in refereed journal
SN - 0003-9527
VL - 231
SP - 153
EP - 187
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 1
ER -