Multiscale density decorrelation by Cauchy–Navier wavelets

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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.