MWTmat—application of multiscale wavelet tomography on potential fields

Wavelet analysis is a well-known technique in the sciences to extract essential information from measured signals. Based on the theory developed by previous studies on the Poisson kernel family, this study presents an open source code, which allows for the determination of the depth of the source re...

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Bibliographic Details
Published in:Computers & geosciences 2011-11, Vol.37 (11), p.1825-1835
Main Authors: Mauri, Guillaume, Williams-Jones, Glyn, Saracco, Ginette
Format: Article
Language:English
Subjects:
algorithms
Computer Science
computers
Continental interfaces, environment
Derivatives
Earth Sciences
Earth, ocean, space
Engineering and environment geology. Geothermics
equations
Exact sciences and technology
Geophysics
Geothermal
Geothermics
Gravimetry
gravity
Hydrology
Internal geophysics
Kernels
Mathematical analysis
Matlab
Physics
Potential field
Potential fields
Sciences of the Universe
Self-potential
Signal and Image Processing
Signal processing
Solid-earth geophysics, tectonophysics, gravimetry
temporal variation
Tomography
Volcanology
Wavelet
Wavelet analysis
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Summary:Wavelet analysis is a well-known technique in the sciences to extract essential information from measured signals. Based on the theory developed by previous studies on the Poisson kernel family, this study presents an open source code, which allows for the determination of the depth of the source responsible for the measured potential field. MWTmat, based on the Matlab platform, does not require the wavelet tool box, is easy to use, and allows the user to select the analyzing wavelets and parameters. The program offers a panel of 10 different wavelets based on the Poisson kernel family and the choice between a fully manual and a semiautomatic mode for selection of lines of extrema. The general equations for both horizontal and vertical derivative wavelets are presented in this study, allowing the user to add new wavelets. Continuous wavelet analyses can be used to efficiently analyze electrical, magnetic, and gravity signals; examples are presented here. The MWTmat code and the multiscale wavelet tomography approach are an efficient method for investigating spatial and temporal changes of sources generating potential field signals.
ISSN:0098-3004
1873-7803
DOI:10.1016/j.cageo.2011.04.005