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Constraining Euler Deconvolution Solutions Through Combined Tilt Derivative Filters

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Abstract

Local phase filters as the tilt derivative (TDR) and the horizontal tilt derivative (TDX) are extensively used to interpret magnetic data. We use two combinations of these filters, namely TDR − TDX and TDR + TDX, to design a constraining mask that guides the Euler deconvolution moving data window. The TDR − TDX filter produces sharp peaks over the centers of the sources, while the TDR + TDX filter generates plateaus over them. Motivated by previous approaches that make use of the Laplacian filter or the analytic signal to constrain the Euler deconvolution window, we compute the solutions for windows centered at points that (1) have positive values of TDR − TDX and (2) are contained in the plateaus of TDR + TDX. The use of both criteria improves the selection of source-related points while reducing the number of spurious ones. Our method is tested in synthetic anomalies due to interfering dike-like sources and field data from southeast Brazil. The experiments show that the use of a constraining mask based on combined tilt filters produce Euler solutions that are more contiguous and less sensitive to noise than the traditional located-Euler deconvolution.

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Acknowledgements

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior/Brasil (CAPES) - Finance Code 001, through Programa de Pós-Graduação em Geologia/UFPR. The authors thank Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq, grants 313100/2017-9, 113897/2018-9, and 303826/2018-5) and Companhia de Pesquisa de Recursos Minerais (CPRM, Geological Survey of Brazil) for permission to use the aeromagnetic data.

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Authors and Affiliations

  1. Department of Geology and Laboratory for Research in Applied Geophysics, Federal University of Paraná, Curitiba, PR, 81531-980, Brazil

    Fabrício R. Castro, Jeferson de Souza & Francisco J. F. Ferreira

  2. Department of Mathematics, Federal University of Paraná, Caixa Postal 19096, Curitiba, PR, 81531-980, Brazil

    Saulo P. Oliveira

  3. Paraná State Secretary of Education, Av. Água Verde, 2140, Vila Izabel 19096, Curitiba, PR, 80240-900, Brazil

    Jeferson de Souza

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  1. Fabrício R. Castro
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  2. Saulo P. Oliveira
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  3. Jeferson de Souza
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  4. Francisco J. F. Ferreira
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Correspondence to Saulo P. Oliveira.

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Castro, F.R., Oliveira, S.P., de Souza, J. et al. Constraining Euler Deconvolution Solutions Through Combined Tilt Derivative Filters. Pure Appl. Geophys. 177, 4883–4895 (2020). https://doi.org/10.1007/s00024-020-02533-w

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