The present study focuses on the numerical evaluation of Archie’s coefficients – specifically, the cementation parameter and saturation exponent – using a digital model of a high-permeability rock sample. Accurate estimation of these parameters is critical for reservoir development planning and optimizing hydrocarbon recovery through formation stimulation techniques. To derive the coefficients, we construct two relationships: the formation factor versus porosity and the resistivity index versus water saturation. The paper presents a methodology and case studies for establishing these dependencies. The proposed approach involves solving two optimization problems to perform a linear regression in a logarithmic scale, based on both the generalized and classical forms of Archie’s law.