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| Titel |
Number-average size model for geological systems and its application in economic geology |
| VerfasserIn |
Q. F. Wang, L. Wan, Y. Zhang, J. Zhao, H. Liu |
| 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 ; 18, no. 4 ; Nr. 18, no. 4 (2011-07-06), S.447-454 |
| Datensatznummer |
250013940
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| Publikation (Nr.) |
 copernicus.org/npg-18-447-2011.pdf |
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| Zusammenfassung |
| Various natural objects follow a number-size relationship in the fractal
domain. In such relationship, the accumulative number of the objects beyond
a given size shows a power-law relationship with the size. Yet in most
cases, we also need to know the relationship between the accumulative number
of the objects and their average size. A generalized number-size model and a
number-average size model are constructed in this paper. In the
number-average size model, the accumulative number shows a power-law
relationship with the average size when the given size is much less than the
maximum size of the objects. When the fractal dimension Ds of the
number-size model is smaller than 1, the fractal dimension Ds of the
number-average size model is almost equal to 1; and when Ds > 1, the
Dm is approximately equal to Ds. In mineral deposits, according to
the number-average size model, the ore tonnage may show a fractal
relationship with the grade, as the cutoff changes for a single ore deposit.
This is demonstrated by a study of the relationship between tonnage and
grade in the Reshuitang epithermal hot-spring gold deposit, China. |
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