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Abstract

Summary

The method of calculation of fractal correlation dimension D values is applied for examination of statistics of large and extra-large ore deposits. The used approach differs from the commonly used one. Firstly, we permit the different D values for different spatial scales that seems to be useful in distinguishing of regularities in the location of ore deposits at different scales. Secondly, we introduce a new notion, a mixed correlation dimension and use it for examination of pairs of objects of different typ (e.g., deposits of Au and Ag). The standard formula for calculating the correlation dimension values can be trivially generalized for such cases. The “mixed D” values can be both lower and higher than the dimension of the hosting medium. The cases when this dimension value is higher than that of the hosting medium are interpreted as a “mutual repulsion” of the deposits of corresponding two types. Small correlation dimensions indicate that the deposits of the corresponding types tend to be located closely.The calculations are conducted for the spherical Earth. Different patterns of the studied behavior are illustrated by the model examples.

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/content/papers/10.3997/2214-4609.201801754
2018-05-14
2024-04-25

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References

  1. Hentschel, H.G.E. and Procaccia, I.
    [1983] The infinite number of generalized dimensions of fractals and strange attractors, Phys. D (Amsterdam, Neth.), vol. 8, no. 3, pp. 435–444.
     [Google Scholar]
  2. Largest Mineral Deposits of the World
    Largest Mineral Deposits of the World, CD-ROM, Commission on Geological Maps, 2006.
     [Google Scholar]
  3. Laznicka, P.
    [1999] Quantitative relationships among giant deposits of metals, Econ. Geol84, 41–63.
     [Google Scholar]
  4. Molchan, G., Kronrod, T.
    [2009] The fractal description of seismicity. Geophys. J. Int.179, 1787–1799.
     [Google Scholar]
  5. Rodkin, M.V., Shatakhtsyan, A.R.
    [2015] Study of Ore Deposits by the Dynamic Systems Investigation Methods: 1. Calculation of the Correlation Dimension. ISSN 1069–3513, Izvestiya, Physics of the Solid Earth. Vol. 51, No. 3, pp. 419–427.
     [Google Scholar]
  6. Sornett, D.
    [2000] Critical Phenomena in Natural Sciences, Berlin: Springer.
     [Google Scholar]
  7. Turcotte, D.L.
    [1997] Fractals and Chaos in Geology and Geophysics, 2nd ed., Cambridge: Cambridge Univ. Press.
     [Google Scholar]
  8. Wyss, M., Shimazaki, K., and Ito, A.
    , [1999] Seismicity Patterns, Their Statistical Significance and Physical Meaning, Basel: Birkháuser; Reprint from Pure Appl. Geophys., 1999, vol. 155, nos. 2–4.
     [Google Scholar]
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Application of fractal dimension approach to the examination of statistics of large ore deposits
Conference Proceedings 2018, 1 (2018); https://doi.org/10.3997/2214-4609.201801754
/content/papers/10.3997/2214-4609.201801754
/content/papers/10.3997/2214-4609.201801754
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