重庆大学学报2011,Vol.34Issue(4):88-94,7.
数字岩心孔隙结构的分形表征及渗透率预测
The fractal characterization of pore structure for some numerical rocks and prediction of permeabilities
摘要
Abstract
This paper uses the fractal theory of pore structures for porous media to study the fractal characterization of pore structure for nine numerical rocks. The results show that the fractal dimension of solid phase is usually greater than the pore fractal dimension, and its fractal scaling regions is less than the one of pore phase. This indicates that the numerical rock is an approximate two-phase fractal porous media. The porosities, volume fractions and permeabilities of nine numerical rocks are predicted. The results show that the fraetal theory about pore structures of numerical rocks is effective in describing the porosity and permeability. Moreover, it seems to be more effective for solid phase in approximate two-phase fractal porous media. When predicting permeability using the fractal theory, it is very important to accurately determine the maximum pore size and the range of statistical self-similarity. By comparing the two kinds of predicted permeabilities,it is found that the FT method used by this paper is more accurate, more general and less computational cost than the PNEM method which has been worldwide used.关键词
数字岩心/分形表征/孔隙结构/渗透率/最大孔隙尺寸Key words
numerical rock/ fractal characterization/ pore structure/ permeability/ maximum pore size分类
数理科学引用本文复制引用
赵明,郁伯铭..数字岩心孔隙结构的分形表征及渗透率预测[J].重庆大学学报,2011,34(4):88-94,7.基金项目
国家自然科学基金重点资助项目(10932010) (10932010)