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The microstructure of the surface of a calcined limestone particle is multi-fractal.We develop an analytic method that surveys the boundary curve multi-fractal dimensions with SEM,gets a three-dimensional surface structureα-f(α)curve via zero-sets,and finally calculates the multi-fractal spectrum values of the particle surface’s microstructural topography.After analyzing two spectra from limestone particles calcined at 850℃ and 900℃,it was shown that the microstructural topographies of the surfaces of calcined limestone multi-particle system have some degree of self-similarity.This mensuration method is proposed to describe the multi-fractal characteristics of a micro-scale particle’s surface topography.
The microstructure of the surface of a calcined limestone particle is multi-fractal. We develop an analytic method that surveys the boundary curve multi-fractal dimensions with SEM, gets a three-dimensional surface structure α-f (α) curve via zero-sets, and finally calculate the multi-fractal spectrum values of the particle surface of microstructural topography. After analyzing two spectra from limestone particles calcined at 850 ° C and 900 ° C, it was shown that the microstructural topographies of the surfaces of calcined limestone multi-particle system have some degree of self-similarity. This mensuration method is proposed to describe the multi-fractal characteristics of a micro-scale particle’s surface topography.