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

The role of small probability measure in the analysis about desulfurization limestone particles multi-fractal surface structure
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小概率测度在脱硫石灰石颗粒多重分形表面结构分析中的作用

DOI:
10.1016/j.apsusc.2012.09.018
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发表时间:
2012-12
影响因子:
6.7
通讯作者:
Yaofei Feng
Yaofei Feng
中科院分区:
材料科学1区
文献类型:
--
作者:
Zhongliang Liu;Songling Wang;Chunbo Wang;Yaofei Feng

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脱硫的关键是煅烧石灰石颗粒表面的物理量分布。温度是影响粒子奇异性的重要因素。在800°C和900°C f(α)-α和1000°C下对石灰石样品进行煅烧并通过TGA进行分析。采用多重分形理论对煅烧石灰石颗粒的SEM图像进行灰度处理,得到了不同温度下颗粒表面尺寸分布的奇异τq−q谱、质量指数Dq−q谱和总维数谱。计算了小概率测度随q因子的变化。实验表明,这些谱图都能较好地反映颗粒分布,900°C完全煅烧均匀性和规律性较好,小概率测度较丰富,烧结较少,而800°C煅烧不充分,1000°C烧结严重。所以奇异性α指数在两个温度下变化范围较大的现象主要是由于缺少小概率集所致。小概率测度对煅烧石灰石颗粒表面的多重分形值有较大影响,特别是当q因子较小时。
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.
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