Możliwość zastosowania wymiaru fraktalnego do określania kształtu kryształów na przykładzie wybranych minerałów skałotwórczych intruzji Monczegorska (NE Fennoskandia)

• Autorzy: Huber Miłosz

Identyfikatory

DOI

10.7306/2021.27

Warianty tytułu

EN

The possibility of using a fractal dimension to determine the shape of crystals : a case study on selected rock-forming minerals from the Monchepluton intrusion (NE Fennoscandia)

• Języki publikacji: PL

Abstrakty

EN

A petrographic description of olivine, ortho-, clinopyroxene, and plagioclase was obtained for rocks derived from a Paleoproterozoic layered intrusion of the Monchepluton. Based on these results, calculations were made of the fractal box dimension, which determines the degree of development of the boundaries of these minerals. After the calculations, they were illustrated on maps showing the correlation of this coefficient with the location of the sample in the field. These results were then correlated with petrographic observations. Based on this method, the analogies between the result of the fractal dimension and the petrographic description of rock-forming minerals were assessed. The data show that such an analogy to a limited extent may be a significant indicator for the interpretation of the results. The use of this method is not universal and strictly depends on the mineral association and the knowledge obtained by classic petrographic studies.

Słowa kluczowe

PL

wymiar fraktalny; minerały skałotwórcze; Monczegorsk; NE Fennoscandia

EN

fractal dimension; rock-forming minerals; Monchepluton; NE Fennoscandia

• Wydawca: Państwowy Instytut Geologiczny - Państwowy Instytut Badawczy
• Czasopismo: Przegląd Geologiczny
• Rocznik: 2021
• Tom: Vol. 69, nr 7
• Strony: 434--442
• Opis fizyczny: Bibliogr. 29 poz., rys., tab., wykr.

Twórcy

autor

Huber Miłosz

• Wydział Nauk o Ziemi i Gospodarki Przestrzennej, Uniwersytet Marii Curie-Skłodowskiej, Al. Kraœnickie 2d/107, 20-718 Lublin

Bibliografia

• 1. ARZAMASTSEV A.A., FEDOTOV Z.A., ARZAMASTSEVA L.V. 2009 - Daikovyi magmatizm severo-vostochnoi chasti Baltiiskogo shchita. St. Petersburg Nauka: 383.
• 2. BALTYBAEV S.K. 2013 - Svecofennian Orogen of the Fennoscandian Shield: Compositional and Isotopic Zoning and its Tectonic Interpretation. Geotectonics, 47 (6): 452-464.
• 3. BALUEV A.S., ZHURAVLEV V.A., PRZHIYALGOVSKII E.S. 2009 - New Data on the Structure of the Central Part of the White Sea Paleorift System. Doklady Earth Sci., 427 (6): 891-896.
• 4. BAYANOVA T.B. 2004 - Age of benchmark geological complexes of the Kola region and magmatism processes action. St. Petersburg Nauka: 174.
• 5. BAYANOVA T., KORCHAGIN A., MITROFANOV A., SEROV P., EKIMOVAN., NITKINA E., KAMENSKY I., ELIZAROV D., HUBER M. 2019 - Long-Lived Mantle Plume and Polyphase Evolution of Palaeoproterozoic PGE Intrusions in the Fennoscandian Shield. Minerals, 9 (59): 3-22.
• 6. CHEN T.L., SHI Z.L., WEN A., YAN D., GOU J., CHEN J., LIU Y., CHEN R. 2021 - Multifractal characteristics and spatial variability of soil particle-size distribution in different land use patterns in a small catchment of the Three Gorges Reservoir Region. China. J. Mt. Sci., 18 (1): 111-125.
• 7. GERIG A., KRUHL J.H., CAGGIANELLI A. 2010 - Quantification of Flow Patterns in Sheared Tonalite Crystal-melt Mush: Application of Fractal-geometry Methods. J. Geol. Soc. India, 75: 210-224.
• 8. GULBIN Y.L., EVANGULOVA E.B. 2003 - Morphometry of Quartz Aggregates in Granites: Fractal Images Referring to Nucleation and Growth Processes. Mathemat. Geol., 35 (7): 819-833.
• 9. HAŁAS S., HUBER M., PIESTRZYŃSKI A. 2009 - Petrology of gabbroid and isotope signature of sulfide mineralization from Fedorov-Pansky layered mafic intrusion, Kola Peninsula, Russia. Geochronometria 33: 19-22.
• 10. HUBER M. 2012 - Dynamics of metamorphism processes by the fractal textures analysis of garnets, amphibole and pyroxenes of Lapland Granulite Belt, Kola Peninsula. J. Biol. Earth Sci., 2: 50-55.
• 11. HUBER M. 2021 - Ewolucja kolsko-laplandzkiego pasa mobilnego na przykładzie platynonośnej paleoproterozoicznej intruzji warstwowanej Moncheplutonu. Wyd. UMCS.
• 12. HUBER M., HAŁAS S., SEROV P.A., EKIMOVA N.A., BAYANOVA T.B. 2012 - Sm-Nd dating and stable isotope geochemistry of sulfides and U-Pb ages of layered intrusions from the northern part of the Baltic Shield. Mineralogia, 39: 107.
• 13. KINCAL C., KOCA M.Y., OZDEN G., DEMIRBASA N. 2010 - Fractal parameter approach on weathering grade determination of Cesme (Izmir, Turkey) tuffs. Bull. Eng. Geol. Environ., 69: 617-629.
• 14. LEHMANN P., STAHLA M., PAPRITZ A., GYGI A., FLUHER H. 2003 - A Fractal Approach to Model Soil Structure and to Calculate Thermal Conductivity of Soils. Transport in Porous Media, 52: 313-332.
• 15. LUBNINA N.V., PASENKO A.M., NOVIKOVA M.A., BUBNOV A.YU. 2016 - The East European Craton at the End of the Paleoproterozoic: a New Paleomagnetic Pole of 1.79-1.75 Ga. Moscow Univ. Geol. Bull., 71 (1): 8-17.
• 16. MARTIN M.A., REYES M. 2008 - A Fractal Interaction Model for Winding Paths through Complex Distributions: Application to Soil Drainage Networks. Pure Appl. Geophys., 165: 1153-1165.
• 17. MITROFANOV A.F. 2000 - Geological characteristics of the Kola peninsula. Russian Acad. Sci., Apatity: 166.
• 18. MITROFANOV F.P., SMOLKIN V.F. 2004 - Stratified intrusions of the Monchegorsk ore region: petrology, mineralization, isotopy, deep structure. In 2 parts. Ed. Apatity: Kola Scientific Center, Russian Acad. Sci.: 344.
• 19. MOHAMMADI A., KHAKZAD A., OMRAN N.R., MAHVI M.R., MOAREFVAND P., AFZAL P. 2013 - Application of number-size (N-S) fractal model for separation of mineralized zones in Dareh-Ashki gold deposit, Muteh Complex, Central Iran. Arab J. Geosci., 6: 4387-4398.
• 20. MIYASHIRO A. 1994 - Metam. Petrol., CRC Press: 416.
• 21. PETIGEN H.O., JÜRGENS H., SAUPE D. 1992 - Fractals for the Classroom. Springer-Verlag N.Y., 1: 546.
• 22. POZHYLIENKO V.I., GAVRILIENKO B.V., ZHIROV D.V., ZHABIN S.V. 2002 - Geology of the ore regions in Murmańsk District. Apatity: 360.
• 23. RUNDKVIST T.V., MOKRUSHIN A.V., HUBER M., PRIPACHKIN P.V., BAZAI A.V., MIROSHNIKOVA YA.A. 2018 - New data on the composition of chrome spinellids in the rocks of the southeastern of the Early Proterozoic Monchegorsk complex (Kola region). Bull. of the Kola Scientific Center of the Russian Acad. Sci., 1 (10): 50-62, DOI: 10.25702/KSC.2307-5228-2018-10-1-50-62 (po rosyjsku).
• 24. SHARKOV E.V. 2006 - Formation of Layered Intrusions and their ore mineralization. Moscov Scientific World: 368.
• 25. SINGH A.K., UPADHYAY D., PRUSETH K.L., MEZGER K., NANDA J.K., MAITI S., SAHA D. 2021 - Shock Metamorphic Features in the Archean Simlipal Complex, Singhbhum Craton, Eastern India: Possible Remnant of a Large Impact Structure. J. Geol. Soc. India, 97: 35-47.
• 26. SŁABY E., DOMONIK A., ŚMIGIELSKI M., MAJZNER K., MOTUZA G., GOETZE J., SIMON K., MOSZUMAŃSKA I., KRUSZEWSKI Ł., RYDELEK P. 2014 - Protomylonite evolution potentially revealed by the 3D depiction and fractal analysis of chemical data from a feldspar. Contrib Mineral Petrol, 167: 995.
• 27. VOITSEKHOVSKY Y.L., SHPACHENKO A.K., SKIBA V.I. 1997 - Cell-zonal textures of tinguaites from the Kola Peninsula. Geol. Rundsch., 86: 531-538.
• 28. ZHERU Z., HUAHI M., CHENG Q. 2001 - Fractal Geometry of Element Distribution on Mineral Surfaces. Mathem. Geol., 33 (2): 217-228.
• 29. ZHENGLI M., JIANQING L., YANG B. 2014 - The geochemical multi-fractal characteristics and mineralization of the Dehelongwa copper-gold deposit. Chin. J. Geochem, 33: 280-288.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).