Abstract: The correlativity of pore throat radius and permeability,mercury-ejection pore radius and mercury-ejection saturation,porosity and formation parameters,relative permeability and water saturation based on the fractal dimensions theory were analyzed.The pore structure,oil and water flow mechanics including the lithology of sandstone core,electricity curve and relative permeability curve were characterized by fractal.The fractal dimensions have good correlation with homogeneity factors of rock samples and can be taken as the new characteristic parameters for expressing rock homogeneity.

Key words: fractal theory, fractal dimensions, sandstone core, capillary pressure, pore structure, lithology and electricity curve, relative permeability curve, porosity, reservoir physics

摘要： 对压汞喉道半径与渗透率贡献值分布频率、退汞孔隙半径与退汞饱和度分布频率、岩样孔隙度与地层因素分布频率以及油、水相对渗透率与水饱和度分布频率的相关性分别进行了分形研究。结果表明:测量标尺与测量对象的相关系数均满足α为0.01时所需要的相关系数r值,分形性良好。砂岩岩心不仅孔隙结构具有分形特征,而且油、水在岩石内部渗流过程中岩电特性曲线和油、水相对渗透率曲线也具有分形特征。研究中所论及的分形维数与岩样均质系数相关性良好,它们均可以作为反映岩心均质程度的特征参数。

关键词: 分形理论, 分形维数, 砂岩岩心, 毛管压力, 孔隙结构, 岩电特性曲线, 油水相对渗透率曲线, 孔隙度, 油层物理学