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Stable inverse deconvolution of magnetic data
Author(s)
Language
English
Status
Published
Peer review journal
Yes
Title of the book
Issue/vol(year)
162 (2005)
Publisher
RAS
Pages (printed)
725-735
Issued date
September 2005
Keywords
Abstract
The final aim of a magnetic survey is to obtain quantitative information about the geological
source generating the observed field. In this paper, I show how the employment of a suitable
non-iterative operator in the Fourier domain permits to recover the horizontal magnetization
distribution of a plausible equivalent source by a simple deconvolution. The results obtained
in the synthetic case show a good agreement with the generating model, and moreover the
recovered magnetization map appears more stable concerning high-frequency noise amplifi-cation
with respect to other operators previously used in literature. The analytic justification
of this stability will be described in detail by comparison with the traditional operators. The
extension of this operator to the sector of field transformations, such as Upward Continuation
or Reduction to the Pole, is straightforward because it is sufficient to re-calculate the field due
to the apparent magnetization distribution. The results obtained by synthetic and real data tests
demonstrate that the equivalent-source operator shown in this paper is able to give meaningful
answers with a minimum amount of information by the user concerning depth of the source.
These parameters as known, when unavailable, can be estimated in a stable way from the power
spectrum of the magnetic anomaly, so that in the final analysis only a Fourier transformation
of the data is needed to evaluate a realistic magnetization model.
source generating the observed field. In this paper, I show how the employment of a suitable
non-iterative operator in the Fourier domain permits to recover the horizontal magnetization
distribution of a plausible equivalent source by a simple deconvolution. The results obtained
in the synthetic case show a good agreement with the generating model, and moreover the
recovered magnetization map appears more stable concerning high-frequency noise amplifi-cation
with respect to other operators previously used in literature. The analytic justification
of this stability will be described in detail by comparison with the traditional operators. The
extension of this operator to the sector of field transformations, such as Upward Continuation
or Reduction to the Pole, is straightforward because it is sufficient to re-calculate the field due
to the apparent magnetization distribution. The results obtained by synthetic and real data tests
demonstrate that the equivalent-source operator shown in this paper is able to give meaningful
answers with a minimum amount of information by the user concerning depth of the source.
These parameters as known, when unavailable, can be estimated in a stable way from the power
spectrum of the magnetic anomaly, so that in the final analysis only a Fourier transformation
of the data is needed to evaluate a realistic magnetization model.
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article
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