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多孔介质的微观孔隙结构决定着孔隙度、毛细压力、相对渗透率等宏观特性,对其中的水分和污染物运移具有重要影响。基于细砂、中砂、粗砂介质的二维显微数字图像,利用Matlab编程计算了各粒径介质的分形维数及孔隙相的自相关函数和线性路径函数。结果表明:各粒径介质的孔隙结构均具有良好的分形特征及空间自相关特性。孔隙结构的分形维数在1.81~1.88之间,随着粒径的增大,分形维数逐渐减小,孔隙结构的复杂程度下降;随着粒径增大,孔隙相的自相关函数和线性路径函数为0时的滞后距离增大。研究结果对于松散多孔介质三维孔隙空间建模具有一定的指导意义。
The micro-pore structure of porous media determines the macroscopic characteristics such as porosity, capillary pressure and relative permeability and has an important influence on the migration of water and pollutants therein. Based on the two-dimensional microscopic digital images of fine sand, medium sand and grit media, the fractal dimension of each particle size medium and the autocorrelation function and linear path function of pore phase were calculated by Matlab programming. The results show that the pore structure of each particle size medium has good fractal characteristics and spatial autocorrelation. The fractal dimension of the pore structure is between 1.81 and 1.88. As the particle size increases, the fractal dimension decreases and the complexity of the pore structure decreases. As the particle size increases, the autocorrelation function and the linearity The hysteresis distance increases when the path function is zero. The results are of guiding significance for the modeling of three-dimensional porous space in loose porous media.