The role of small probability measure in the analysis about desulfurization limestone particles multi-fractal surface structure

The key of desulfurization is physical measure distribution on the surface of calcinated limestone particle. Temperature is an important factor that can influence the singularity of particles. Limestone samples were calcinated and analyzed by TGA at 800 °C and 900 °C f(α) − α and 1000 °C. The singular τq − q spectrum and the quality index Dq − q spectrum and the general dimension spectrum of particles surface measure distribution at different temperatures can be obtained while adopting multi-fractal theory after gray processing the SEM images of calcinated limestone particles. The change of small probability measure with q-factor was calculated. Experiment shows that those spectrums all can reflect the particle distribution appropriately, in addition, the full calcination at 900 °C has better homogeneity and regularity with more rich small-probability-measure and less sintering while there are insufficiency calcination at 800 °C and serious sintering at 1000 °C, so the phenomenon why the singularity α-index has wider range at the two temperatures is mainly because of the lack of the small probability set. The small probability measure can seriously influence the multi-fractal value on the surface of calcinated limestone particle, especially for a small q-factor.

► Singular spectra, quality index spectra, general dimension spectra are equivalent. ► The small probability measure has better performance when q-factor is small. ► The small probability measure makes powders micro-structure clearer to distinguish. ► The limestone sorbent sample particles are in a good desulfurization state at 900 °C.