Fractal analysis of multiscale pore connectivity networks

Mathematical morphology method is applied to extract physically-realistic of pore connectivity network (PCNs) from a sandstone microphotograph. The fractal dimensions that have been estimated by box dimension method which have precisely followed the universal power-law relationships proposed elsewhere. These results are derived by considering structuring elements such as octagon, square and rhombus which have been used to extract pore connectivity network of pore-space of sandstone image. The structuring elements can be used to correlate pore scales phenomena and can also be incorporated into a pore space to verify the existing connectivity network in pore space. From the number-size relationship, the fractal dimensions of pore-space estimated, by considering these structuring elements, yield the values of 1.67, 1.68, and 1.69. These values were confirmed with the values arouse from our previous paper, estimation of morphological decomposition method.