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Multiscale density decorrelation by Cauchy–Navier wavelets

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Abstract

In this paper, we investigate a multiscale post-processing method in exploration. Based on a physically relevant mollification technique involving the Cauchy–Navier equation, we mathematically describe the extractable information within 3D density data sets. More explicitly, the developed multiscale approach extracts and visualizes geological features inherently available in signature bands of certain geological formations such as aquifers, salt domes etc. by specifying suitable wavelet bands. We compare the presented approach with already existing methods such as Newton multiscale decorrelation.

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Acknowledgements

The first author thanks the “Federal Ministry for Economic Affairs and Energy, Berlin” and the “Project Management Jülich” for funding the project “SPE” (Funding Reference Number: 0324061, PI Prof. Dr. W. Freeden, CBM - Gesellschaft für Consulting, Business und Management mbH, Bexbach, Germany, corporate manager Prof. Dr. M. Bauer).

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Authors and Affiliations

  1. Gesellschaft für Consulting Business und Management mbH, CBM GmbH, Niederbexbacher Straße 67, 66450, Bexbach, Germany

    C. Blick

  2. Institute of Mathematics, Goethe-University Frankfurt am Main, Robert-Mayer-Straße 10, 60325, Frankfurt am Main, Germany

    S. Eberle

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  1. C. Blick
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  2. S. Eberle
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Correspondence to C. Blick.

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Blick, C., Eberle, S. Multiscale density decorrelation by Cauchy–Navier wavelets. Int J Geomath 10, 24 (2019). https://doi.org/10.1007/s13137-019-0134-6

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  • DOI: https://doi.org/10.1007/s13137-019-0134-6

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