多孔结构孔隙特征的分形研究  

Fractal research of porous structure characteristic

作　　者：刘阳[1] 贾俊超 王磊[1] 

机构地区：[1]中国矿业大学力学与建筑工程学院,江苏徐州221008 [2]鄂尔多斯永煤矿业投资有限公司,内蒙古鄂尔多斯017000

出　　处：《河南城建学院学报》2011年第1期33-36,共4页Journal of Henan University of Urban Construction

摘　　要：基于Menger海绵体分形模型和压汞实验原理提出了多孔结构体的孔隙体积分形维数、表面分形维数的算法,在此基础上推导了多孔结构比表面积的计算公式。研究发现,孔隙比表面积与孔隙率和孔隙的表面褶曲粗糙程度有关,孔隙比表面积需要用体积分维和表面分维两个独立变量表示。鉴于孔隙比表面积的测量比较困难,给出了表面分形维数的间接算法。Based on Menger cavernous fractal model and mercury injection experiment principle,this paper proposes algorithms of the pores＇ volume fractal dimension,surface fractal dimension of the porous structures,and deduced the calculating formula relating to the specific surface area.This research found that the specific surface area was related to the porosity ratio as well as pore surface＇s roughness;as a result,the specific surface area should be represented by two independent variables,namely the volumetric dimension and surface fractal dimension.In view of that it is difficult to measure the specific surface area,this paper propose a indirect algorithm of surface fractal dimension.

关 键 词：Menger模型 分形算法 压汞实验 

分 类 号：TU502.4[建筑科学—建筑技术科学]