有效应力下多孔介质微观结构的分形特征

摘要

以分形几何理论为基础,建立了有效应力的分形计算模型,分析和讨论了多孔介质微观结构和有效应力之间的关系,从微观角度上揭示有效应力对多孔介质孔隙结构的影响规律.研究结果表明:有效应力的分形计算模型可以描述有效应力与多孔介质微观结构之间的关系；随着有效应力的增大,多孔介质的分形维数呈指数增加,孔隙度呈指数递减,多孔介质中孔隙数呈指数递减趋势,孔隙平均半径呈减小趋势.%Based on the fractal geometry theory, this paper establishes a fractal calculation model of effective stress, analyzes and discusses the relationship between microstructure of porous media and effective stress, reveals the influence law of the effective stress on the microstructure of porous media. The results of the study show that the fractal calculation model of effective stress can describe the relationship between the effective stress and the microstructure of porous media. With the increase of effective stress, the fractal dimension of the porous media increases exponentially, the porosity and pore number in the porous media decrease exponentially and the mean radius of pores decreases.