Application of fractal dimension approach to the examination of statistics of large ore deposits
M.V. Rodkin and A.R. Shatakhtsyan
Event name: 17th International Conference on Geoinformatics - Theoretical and Applied Aspects
Session: Geoinformation Researches for Petroleum and Mineral Exploration
Publication date: 14 May 2018
Info: Extended abstract, PDF ( 809.87Kb )
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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.