多孔材料孔隙特性的分形描述

Description of Pore Property of Porous Materials Using Fractal Theory

通过压汞法得到了水泥基多孔材料的微观孔隙分布数据,在此基础上采用a,b,c三种方法计算了该材料相应的分维数.结果表明:用c法得到的颗粒分布分维数最为有效,其相关系数为0.97,说明水泥基多孔材料微观孔隙具有良好的分形特性;基于微观孔隙分布密度函数,提出了一种能表征微观孔隙分布特性的累计微观孔隙率模型,结合分维数,利用该模型预测了水泥基多孔材料的累计微观孔隙率,预测值与实测值吻合较好.

The macroscopic property of porous materials is controlled by its microcosmic pore property, so it is very important to establish the model describing correctly the microcosmic pore property of porous materials. As an example of porous material, cement-based porous material was studied and its pore property was studied by mercury intrusion method. Three methods are introduced to calculate the fractal dimension and the results show that method c is the most valid with a correlation coefficient of 0.97, which proves that cement-based porous material shows good fractal behavior. Based on the pore-size distribution density function, an accumulative porosity model describing the pore property is established. By using the fractal dimension of method c and the proposed porosity model, the accumulative porosity of cement-based porous material is predicted and the predictions show good agreement with experimental results.