Abstract. The drilling mud-filtrate invades into a reservoir is a dynamical process after a formation was opened in oil exploration. Since the invasion profiles of formation resistivity vary with time, the invasion depth is related to time. The fluid flow equations were used to calculate the invasion profiles and invasion depth. The present dynamic invasion model generated the time-dependent formation resistivity profiles and invasion depth. The effects of two main parameters, porosity and permeability, for a permeable and porous formation were studied. The invasion depth increases with the growing permeability and decreasing porosity.