The interface of mineral particles in natural ore produces complex and variable morphology, rough surface, neither smooth nor characteristic length. The geometric factors affecting the dissociation of minerals are difficult to quantify, so in previous studies, or slightly (not all the dissociation models since Gordue, the ore particles were set to some simple Geometry, or smooth particles that can be treated with differential geometry, or conceptualized by text. Based on the fractal geometry principle, Wang Yarong [1996] used an image analyzer to measure the relative size of natural mineral bodies. It was found that the mineral interface has statistical self-similarity and belongs to the fractal structure. The complexity of the interface can be calibrated with its fractal dimension (fractional dimension) values. The other minerals with the same properties but different interface conditions are obviously “negatively correlated†with their interface dimension when they are crushed by external force. Her test results for six binary minerals are shown in Table 2-11-2.
The numbers in the table indicate:
(1) The interface between minerals has a finite layer of fractal structure, and its interface dimension can effectively reflect the degree of irregularity of the interface. The larger the dimension value, the more complex the interface becomes.
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