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Potential theory in gravity and magnetic applications

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TLDR
In this article, the potential of the geomagnetic field has been studied in vector calculus, and the results of the potential have been shown to be equivalent to the conversion of units.
Abstract
Introduction 1. The potential 2. Consequences of the potential 3. Newtonian potential 4. Magnetic potential 5. Magnetization 6. Spherical harmonic analysis 7. Regional gravity fields 8. The geomagnetic field 9. Forward method 10. Inverse method 11. Fourier-domain modeling 12. Transformations A. Review of vector calculus B. Subroutines C. Review of sampling theory D. Conversion of units.

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Journal ArticleDOI

Volume Continuation of potential fields from the minimum-length solution: An optimal tool for continuation through general surfaces

TL;DR: In this paper, a volume continuation approach based on the minimum-length solution of the inverse potential field problem, which is called Volume Continuation (VOCO), was proposed to obtain a more stable downward continuation and to continue noisy data.
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Geophysical evidence for doming during the Pan-African/Brasiliano orogeny in the Seridó belt, Borborema Province, Brazil

TL;DR: In this article, the aeromagnetic map of the Serido belt shows a long-wavelength anomaly with elongated sigmoidal shape, whose limits coincide with shear zones.
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Drape corrections of aeromagnetic data using wavelets

TL;DR: In this article, the authors proposed a wavelet-based method for drape correction using a family of wavelet basis functions localised in both space and frequency, which can be used for both 1D and 2D signals.
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Gaussian envelope for 3D geomagnetic data inversion

TL;DR: In this paper, the authors describe an inversion method for 3D geomagnetic data based on approximation of the source distribution by means of positive constrained Gaussian functions, in which smoothness and positivity are automatically imposed on the source without any subjective input from the user apart from selecting the number of functions to use.
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