The evaluation of permeability in reservoir assessment is a complex problem. Thus, it is diffi cult to perform direct evaluation permeability with conventional well-logging methods. Considering that reservoir permeability signifi cantly affects mud invasion during drilling, we derive a mathematical model to assess the reservoir permeability based on mud invasion. A numerical model is fi rst used to simulate the process of mud invasion and mud cake growth. Then, based on Darcy's law, an approximation is derived to associate the depth of mud invasion with reservoir permeability. A mathematical model is constructed to evaluate the reservoir permeability as a function of the mud invasion depth in time-lapse logging. Sensitivity analyses of the reservoir porosity, permeability, and water saturation are performed, and the results suggest that the proposed model and method are well suited for oil layers or oil-water layers of low porosity and low permeability. Numerical simulations using fi eld logging and coring data suggest that the evaluated and assumed permeability data agree, validating the proposed model and method.