分形理论在煤岩物理形态表征中的应用

Application of fractal theory in the physical form characterization of coal rock

研究总结了国内学者利用分形理论,对煤岩颗粒粒度、表面结构、孔隙结构所建立的分形模型及对煤岩形态的表征。研究结果表明,粒度分形维数反映了在煤岩解离中的破碎方式、煤岩组成、能量输入对其粒度分布的影响,为研究煤岩颗粒选择性解离、粒度分布及破磨过程中的能量消耗奠定了相关理论基础;同时煤岩表面结构的分形维数反映了其表面形态特征结构的物理特性和表面形态,可以增强对煤岩热解、氧化过程发生化学反应的了解;孔隙结构的分形维数反映了煤岩变质程度、孔隙发育度以及环境因素对煤岩孔隙分布的影响,有助于更清楚地了解煤岩孔隙对其破碎、燃烧、热解、瓦斯突出等方面的影响。

The authors summarized the fractal models for coal rock particles size, surface structure and pore structure and their characterizations for coal rock form, which were studied by domestic scholars using fractal theory. The results showed that granularity fractal dimension reflected the effect of crushing modes, petrographic constituent of coal rock and energy input on par ticle size distribution during coal dissociation, which laid a relevant theoretical foundation for studying selective dissociation of coal rock, particle size distribution and energy consumption during crushing and grinding process; the fractal dimension of coal rock surface structure reflected physical property and surface morphology of coal rock, which was helpful to understand pyrolysis reactions and oxidation reaction of coal rock; the fractal dimension of pore structure reflected the effect of metamorphic grade, porosity development degree of coal rock and environmental factors on pore distribution, which was helpful to know clearly the effect of coal pore on crushing, burning, pyrolysis and gas outburst.