基于显微CT图像的岩芯孔隙分形特征  

Fractal characteristics of core pore based on micro-CT images

作　　者：方黎勇[1] 段建华[2] 陈浩[3] 陈鹏[4] 孟伟荣 谌恬 

机构地区：[1]电子科技大学航空航天学院,成都611731 [2]成都理工大学管理科学学院,成都610059 [3]中国工程物理研究院应用电子学研究所,四川绵阳621900 [4]电子科技大学数学科学学院,成都611731

出　　处：《强激光与粒子束》2015年第5期300-304,共5页High Power Laser and Particle Beams

基　　金：国家自然科学基金项目(51005040);中央高校业务费基础研究项目(ZYGX2011J124);电子科技大学科研启动基金项目(Y02002047401)

摘　　要：采用国内自主开发的高分辨率显微CT设备,对岩芯样本进行图像采集,运用数字图像分析方法获得图像中的岩芯孔隙目标,并以此为基础重建三维模型。然后基于分形理论,分别从二维图像和重建的三维模型角度计算孔隙的分形维数。最后,再采用基于多孔介质的分形模型对岩芯孔隙分形特征进行验证,得出岩芯的二维分形维数和三维分形维数之间的差值均值为1.000 3,最大偏差为0.004,很好地满足多孔介质分形模型中关于二维和三维分形维数的关系。The micro-CT has been an increasingly important tool in researching core pore structure. In this study, a domes- tically self-developed high-resolution micro-CT equipment is used to capture the CT images of a core sample. Based on the results from digital image analysis of pore core CT images, this paper reconstructs a three-dimensional model of core pore. Then fractal dimension of two-dimension image and three-dimension reconstructed model are calculated based on fractal theory. Finally, the fractal characteristics between the two-dimension image and the three-dimension reconstructed model of the sample are verified by fractal model of porous media. Wherein, the mean difference between the two-dimensional fraetal dimension and the three-dimen- sional fractal dimension is 1. 000 3, and the maximum deviation is 0. 004. The results well satisfy the relations between the two dimension and the three-dimension fractal dimension of the fractal model of porous media.

关 键 词：显微CT图像 岩芯孔隙 分形维度 多孔介质模型 

分 类 号：TP391[自动化与计算机技术—计算机应用技术] TE1[自动化与计算机技术—计算机科学与技术]