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Characterization of Different Forms of Chalcopyrite Disease through Fractal Analysis


Affiliations
1 Department of Geology, University of Delhi, Delhi 110 007, India
2 Department of Physics, SGTB Khalsa College, University of Delhi, Delhi 110 007, India
 

Complex shapes that form by natural processes are often difficult to explain using non-Euclidean geometry. Chalcopyrite disease (CD) formation, a replacement texture, demonstrates a nonlinear-fractal geometry. CD samples from three polymetallic deposits were chosen for fractal analysis. CD did not show a fractal value specific to mineralized deposits. However, fractal analysis showed consistent values for a similar form of CD, thus setting a quantitative relationship between varied forms of CD and their condition of formation. The mean fractal dimension calculated for each study area displayed a positive correlation with the peak metamorphic grade of the respective deposit. The statistical analysis (ANOVA) of fractal dimension data further delineated the differences among the three study areas.

Keywords

Box Counting Method, Chalcopyrite Disease, Fractal Dimension, Replacement Texture, Statistical Analysis.
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  • Characterization of Different Forms of Chalcopyrite Disease through Fractal Analysis

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Authors

Shubham Tripathi
Department of Geology, University of Delhi, Delhi 110 007, India
Sushil K. Singh
Department of Physics, SGTB Khalsa College, University of Delhi, Delhi 110 007, India

Abstract


Complex shapes that form by natural processes are often difficult to explain using non-Euclidean geometry. Chalcopyrite disease (CD) formation, a replacement texture, demonstrates a nonlinear-fractal geometry. CD samples from three polymetallic deposits were chosen for fractal analysis. CD did not show a fractal value specific to mineralized deposits. However, fractal analysis showed consistent values for a similar form of CD, thus setting a quantitative relationship between varied forms of CD and their condition of formation. The mean fractal dimension calculated for each study area displayed a positive correlation with the peak metamorphic grade of the respective deposit. The statistical analysis (ANOVA) of fractal dimension data further delineated the differences among the three study areas.

Keywords


Box Counting Method, Chalcopyrite Disease, Fractal Dimension, Replacement Texture, Statistical Analysis.

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DOI: https://doi.org/10.18520/cs%2Fv117%2Fi3%2F460-469