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| Titel |
Assessing microstructures of pyrrhotites in basalts by multifractal analysis |
| VerfasserIn |
S. Xie, Q. Cheng, S. Zhang, K. Huang |
| Medientyp |
Artikel
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| Sprache |
Englisch
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| ISSN |
1023-5809
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| Digitales Dokument |
URL |
| Erschienen |
In: Nonlinear Processes in Geophysics ; 17, no. 4 ; Nr. 17, no. 4 (2010-07-19), S.319-327 |
| Datensatznummer |
250013702
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| Publikation (Nr.) |
 copernicus.org/npg-17-319-2010.pdf |
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| Zusammenfassung |
| Understanding and describing spatial arrangements of
mineral particles and determining the mineral distribution structure are
important to model the rock-forming process. Geometric properties of
individual mineral particles can be estimated from thin sections, and
different models have been proposed to quantify the spatial complexity of
mineral arrangement. The Gejiu tin-polymetallic ore-forming district,
located in Yunnan province, southwestern China, is chosen as the study area.
The aim of this paper is to apply fractal and multifractal analysis to
quantify distribution patterns of pyrrhotite particles from twenty-eight
binary images obtained from seven basalt segments and then to discern the
possible petrological formation environments of the basalts based on
concentrations of trace elements. The areas and perimeters of pyrrhotite
particles were measured for each image. Perimeter-area fractal analysis
shows that the perimeter and area of pyrrhotite particles follow a power-law
relationship, which implies the scale-invariance of the shapes of the
pyrrhotites. Furthermore, the spatial variation of the pyrrhotite particles
in space was characterized by multifractal analysis using the method of
moments. The results show that the average values of the area-perimeter
exponent (DAP), the width of the multifractal spectra (Δ(D(0)−D(2)) and Δ(D(qmin)−D(qmax))) and the multifractality
index (τ"(1)) for the pyrrhotite particles reach their minimum in the second
basalt segment, which implies that the spatial arrangement of pyrrhotite
particles in Segment 2 is less heterogeneous. Geochemical trace element
analysis results distinguish the second basalt segment sample from other
basalt samples. In this aspect, the fractal and multifractal analysis may
provide new insights into the quantitative assessment of mineral
microstructures which may be closely associated with the petrogenesis as
shown by the bulk-rock geochemical analysis. |
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