Abstract: An improved method of estimating formation permeability is provided. Essentially, the improved method of the present invention combines a mud cake build-up/invasion model and a fully implicit near-well bore model from which radial formation resistivities can be computed and compared with log-observed values. The permeability used to compute the radial formation resistivities is varied until the computed radial formation resistivities match with the log-observed values. The improved method does not require core samples. Specifically, by using a multi-array induction log in combination with the porosity log, a petrophysical analysis of the formation is carried out and a calculated conductivity or resistivity log is provided. The calculated log values are compared with the measured log values obtained from the multi-array induction log.