Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain

Downward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approxi...

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Main Authors: Xiaogang Liu, Yingchun Li, Yun Xiao, Bin Guan
Format: Article
Language:English
Published: KeAi Communications Co., Ltd. 2015-01-01
Series:Geodesy and Geodynamics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1674984715000063
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spelling doaj-8096c44ea98143b88e0cf76cc9f492ea2021-02-02T04:57:53ZengKeAi Communications Co., Ltd.Geodesy and Geodynamics1674-98472015-01-0161344010.1016/j.geog.2014.12.003Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domainXiaogang Liu0Yingchun Li1Yun Xiao2Bin Guan3Xi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaXi'an Research Institute of Surveying and Mapping, Xi'an 710054, ChinaDownward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approximate relationship between observation and continuation data, the computation formulae combined with the fast Fourier transform (FFT) algorithm are transformed to a frequency domain for accelerating the computational speed. The iterative Tikhonov regularization method and the iterative Landweber regularization method are used in this paper to overcome instability and improve the precision of the results. The availability of these two iterative regularization methods in the frequency domain is validated by simulated geomagnetic data, and the continuation results show good precision.http://www.sciencedirect.com/science/article/pii/S1674984715000063Downward continuationRegularization parameterIterative Tikhonov regularization methodIterative Landweber regularization methodFast Fourier transform (FFT)High-frequency noiseFrequency domainAirborne geomagnetic surveying
collection DOAJ
language English
format Article
sources DOAJ
author Xiaogang Liu
Yingchun Li
Yun Xiao
Bin Guan
spellingShingle Xiaogang Liu
Yingchun Li
Yun Xiao
Bin Guan
Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
Geodesy and Geodynamics
Downward continuation
Regularization parameter
Iterative Tikhonov regularization method
Iterative Landweber regularization method
Fast Fourier transform (FFT)
High-frequency noise
Frequency domain
Airborne geomagnetic surveying
author_facet Xiaogang Liu
Yingchun Li
Yun Xiao
Bin Guan
author_sort Xiaogang Liu
title Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
title_short Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
title_full Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
title_fullStr Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
title_full_unstemmed Downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
title_sort downward continuation of airborne geomagnetic data based on two iterative regularization methods in the frequency domain
publisher KeAi Communications Co., Ltd.
series Geodesy and Geodynamics
issn 1674-9847
publishDate 2015-01-01
description Downward continuation is a key step in processing airborne geomagnetic data. However, downward continuation is a typically ill-posed problem because its computation is unstable; thus, regularization methods are needed to realize effective continuation. According to the Poisson integral plane approximate relationship between observation and continuation data, the computation formulae combined with the fast Fourier transform (FFT) algorithm are transformed to a frequency domain for accelerating the computational speed. The iterative Tikhonov regularization method and the iterative Landweber regularization method are used in this paper to overcome instability and improve the precision of the results. The availability of these two iterative regularization methods in the frequency domain is validated by simulated geomagnetic data, and the continuation results show good precision.
topic Downward continuation
Regularization parameter
Iterative Tikhonov regularization method
Iterative Landweber regularization method
Fast Fourier transform (FFT)
High-frequency noise
Frequency domain
Airborne geomagnetic surveying
url http://www.sciencedirect.com/science/article/pii/S1674984715000063
work_keys_str_mv AT xiaogangliu downwardcontinuationofairbornegeomagneticdatabasedontwoiterativeregularizationmethodsinthefrequencydomain
AT yingchunli downwardcontinuationofairbornegeomagneticdatabasedontwoiterativeregularizationmethodsinthefrequencydomain
AT yunxiao downwardcontinuationofairbornegeomagneticdatabasedontwoiterativeregularizationmethodsinthefrequencydomain
AT binguan downwardcontinuationofairbornegeomagneticdatabasedontwoiterativeregularizationmethodsinthefrequencydomain
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