Abstract: Fractal or multi-fractal as one of complexity sciences has been applied into various fields of geoscience such as element concentration, ore-deposit reserves and rock porosity distribution, etc. with good results. A lot of attention has been paid to the study of micro-structures of carbonate rocks in recent years as it has been recognized extensively that traditional analysis methods are fault and not enough to depict the complexity of them. Lots of samples from outcrops in different lithological strata in Dasan member, Chang'er member and Jiasan member are selected in Xiakou and Shizhu cross sections in western Hubei province to study their micro-structures and acquire the statistical parameters like porosity, permeability and shape, etc. By comparing with the measured physical data, it could draw a conclusion that this method is feasible and superior to conventional experiment method.

Key words: image, carbonate rock, porosity, permeability