The pore connectivity affecting the permeability can be called the dynamic pore connectivity, to distinguish it from the average pore connectivity determined by the technique of digital image processing. Digital image processing of the porous media can not evaluate numerically the dynamic pore connectivity. Neithalath et al. (2006) have derived a factor from Kozeny-Carman equation to characterize the enhanced porosity concrete according to the relationship between the porosity and permeability, called the hydraulic connectivity factor (�H). This factor included conductivity factor, specific surface area of pores, and pore shapes factor. In order to find new relationships between the porosity and permeability, a different model has been used in the present study. A capillary-bundle model was developed to represent the porous media and to derive two relationships between the porosity and permeability. Either of these relationships can be used to characterize the porous media according to their dynamic pore connectivity. One of these relationships had been modified to a function called poroperm (Pp) to be with the same units of permeability. Applying Pp and �H to characterize seven sandstone cores yielded an excellent matching. © 2010, European Association of Geoscientists and Engineers.