Mensuration of microstructure multi-fractal spectra of calcined limestone particle surfaces

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 calculates the multi-fractal spectrum values of the particle surface's 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.

Graphical abstractAn analytic method was developed to calculate the multi-fractal spectrum values of particle surface microstructural topography. Analysis of two spectra of limestone particles calcined at 850 °C and 900 °C showed some degree of self-similarity of the microstructural topographies of the surfaces of the calcined limestone multi-particle systems.Figure optionsDownload full-size imageDownload as PowerPoint slide