Identifying variations of magnetic anomalies using geomagnetic monitoring.
Identifying variations of magnetic anomalies using geomagnetic monitoring.
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发表时间：
2019-04
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通讯作者：
Youjun Deng;Hongyu Liu;W. Tsui
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作者：
Youjun Deng;Hongyu Liu;W. Tsui
本文研究了利用地磁监测识别地下变参数磁异常的反问题。对地球磁场变化的观测-长期变化-提供了关于异常及其变化的信息。在本文中，我们严格地建立这个磁异常检测问题的唯一恢复结果。我们表明，人们可以唯一地恢复的位置，变化参数，包括增长或衰减率以及它们的材料参数的异常。本文将文[8]中的结果推广到变异常情形。
We are concerned with the inverse problem of identifying magnetic anomalies with varing 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 [8] by two of the authors to varying anomalies.