基于Menger模型和FM模型的煤粒孔隙分形特征初探  

Preliminary Study on Fractal Characteristics of Coal Particle Pore Based on Menger Model and FM Model

作　　者：高煜 GAO Yu(Safety Production Command Center,Jinneng Holding Coal Industry Group Co.,Ltd.,Datong 037003,China)

机构地区：[1]晋能控股煤业集团有限公司安全生产指挥中心,山西大同037003

出　　处：《煤矿现代化》2023年第3期47-50,55,共5页Coal Mine Modernization

摘　　要：选取安泽矿、余吾矿、水峪矿六采区以及阳煤五矿4种煤样,分别破碎成3种不同粒度后进行压汞实验,并采用Menger模型和FM模型研究其分形特征。结果表明:基于Menger模型的孔体积分形曲线分3段,在孔径小于1000 nm范围内孔体积密度和孔径双对数符合线性关系且拟合程度较高,随着粒度的减小,分形维数D1呈现减小的趋势;而基于FM模型的分形曲线可分为2段,当孔径大于1000 nm时分形曲线呈线性递减,分形维数D2随着粒度的减小而减小,这说明针对不同的煤粒孔径范围,应采用不同的分形模型来研究其孔隙分形特征。Four coal samples from Anze Coal Mine,Yuwu Coal Mine,No.6 mining area of Shuiyu Coal Mine and Yangmeiwu Coal Mine were selected and broken into three different particle sizes respectively for mercury intrusion tests.Menger model and FM model were used to study their fractal characteristics.The results show that the fractal curve of pore volume based on Menger model is divided into three sections,and when the pore size is smaller than 1000nm,the double logarithm of pore volume density and pore size accord with linear relation and fit well;as the granularity decreases,the fractal dimension D1 tends to decrease.Meanwhile,the fractal curve based on FM model can be divided into two sections.The fractal curve decreases linearly when the pore size is larger than 1000nm,the fractal dimension D2 decreases with the decrease of particle size.This suggests that different fractal models should be used to study the fractal characteristics of pores for different pore size ranges.

关 键 词：分形 Menger模型 FM模型 煤粒 

分 类 号：TD712[矿业工程—矿井通风与安全]