Digital core analysis using three-dimensional tomographic images of the internal structure of porous media has received significant development in recent years. Three-dimensional images of the core obtained with the help of x-ray computer tomography can be used to calculate the filtration properties of rocks. However, the question of the influence of the resolution quality of the three-dimensional core image on the simulation results still remains unanswered. This paper studies the influence of the resolution of the three-dimensional image of the core on the calculated absolute permeability in the case of a model porous medium consisting of axisymmetric conical constrictions of different sizes. Based on the initial representation of the model porous medium, several models with different discretization steps were generated, which correspond to images taken with different resolution. The results show that the resolution (the degree of discretization) significantly affects the calculated absolute permeability of the porous medium. The calculated permeability decreases with increasing sampling step. This is because the small channels are not visible at lower resolutions. Elimination of these channels leads to loss of connectivity of the model.