Articles | Volume 13, issue 11
https://doi.org/10.5194/se-13-1697-2022
https://doi.org/10.5194/se-13-1697-2022
Method article
 | 
09 Nov 2022
Method article |  | 09 Nov 2022

Clustering has a meaning: optimization of angular similarity to detect 3D geometric anomalies in geological terrains

Michał P. Michalak, Lesław Teper, Florian Wellmann, Jerzy Żaba, Krzysztof Gaidzik, Marcin Kostur, Yuriy P. Maystrenko, and Paulina Leonowicz

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Cited articles

Abramovitz, T. and Thybo, H.: Seismic images of Caledonian, lithosphere-scale collision structures in the southeastern North Sea along Mona Lisa Profile 2, Tectonophysics, 317, 27–54, https://doi.org/10.1016/S0040-1951(99)00266-8, 2000. 
Allmendinger, R. W.: GMDE: Extracting quantitative information from geologic maps, Geosphere, 16, 1495–1507, https://doi.org/10.1130/GES02253.1, 2020. 
Baldschuhn, R., Binot, S., Fleig, S., and Kockel, F.: Geotektonischer Atlas von Nordwest-Deutschland und dem deutschen Nordsee-Sektor — Strukturen, Struckurenwicklung, Paläogeographie, Geol. Jahrb., A153, 1–88, 2001. 
Bardziński, W., Lewandowski, J., Więckowski, R., and Zieliński, T.: Objaśnienia do Szczegółowej Mapy Geologicznej Polski w skali 1:50 000, ark. Częstochowa (845), Wydawnictwa Geologiczne, Warszawa, 72 pp., 1986. 
Bednarek, J., Haisig, J., Lewandowski, J., and Wilanowski, S.: Objaśnienia do Szczegółowej Mapy Geologicznej Polski 1:50 000, Arkusz Kłobuck (808), PIG, Warszawa, 66 pp., 1992. 
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Short summary
When characterizing geological/geophysical surfaces, various geometric attributes are calculated, such as dip angle (1D) or dip direction (2D). However, the boundaries between specific values may be subjective and without optimization significance, resulting from using default color palletes. This study proposes minimizing cosine distance among within-cluster observations to detect 3D anomalies. Our results suggest that the method holds promise for identification of megacylinders or megacones.
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