Fractal analysis of granular ore media based on computed tomography image processing

九组矿石样品的代表性的图象被 X 光检查获得计算断层摄影术(CT ) 扫描仪。基于 CT 图象分析，稳固的矩阵的分数维的尺寸，毛孔空格和每件样品的矩阵 / 毛孔接口被使用框数测量方法。有粒子尺寸，孔，和渗出物系数的三种分数维的尺寸的关联被调查。结果证明为这些样品的所有图象，矩阵阶段有最高的尺寸，由矩阵毛孔接口的毛孔阶段，和尺寸列在后面有最小的价值；当毛孔阶段的尺寸与孔断然并且线性地联系时，矩阵阶段和矩阵毛孔接口的尺寸否定地并且线性地与孔被相关；矩阵毛孔接口的分数维的尺寸与渗出物系数否定地并且线性地联系。矩阵 / 毛孔接口的更大的分数维的尺寸为解决方案流动显示更不规则的复杂隧道，导致低渗透。

The cross-sectional images of nine groups of ore samples were obtained by X-ray computed tomography（CT） scanner. Based on CT image analysis, the fractal dimensions of solid matrix, pore space and matrix/pore interface of each sample were measured by using box counting method. The correlation of the three fractal dimensions with particle size, porosity, and seepage coefficient was investigated. The results show that for all images of these samples, the matrix phase has the highest dimension, followed by the pore phase, and the dimension of matrix-pore interface has the smallest value; the dimensions of matrix phase and matrix-pore interface are negatively and linearly correlated with porosity while the dimension of pore phase relates positively and linearly with porosity; the fractal dimension of matrix-pore interface relates negatively and linearly with seepage coefficient. Larger fractal dimension of matrix/pore interface indicates more irregular complicated channels for solution flow, resulting in low permeability.