ABSTRACT In this work, the case of a worm-like micellar solution of cetyltrimethyl ammonium tosilate (CTAT) at various concentrations flowing through a porous media is analyzed by using a generalized Darcy-Like Equation. The surface velocity is related to the intrinsic permeability, to the apparent viscosity and to the pressure gradient. In order to characterize the complex fluid, the modified Bautista-Manero-Puig constitutive equation (MBMP) has been used. This rheological model couples the Codeformational Maxwell Equation with a kinetic equation that takes into account the structure modification mechanisms induced by flow. According to the BMP model, the apparent viscosity reflects the thixotropy, shear-thinning, shear thickening and yield stress mechanisms in the system. The surface velocity is a function of the dimensionless numbers representing the viscoelastic, kinetic and structural mechanisms. Finally, closed expressions are developed to relate the surface flow velocity with the pressure gradient and the macroscopic properties associated to the dimensionless number. The surface velocity and the apparent viscosity are predicted. The system is a model approximation of the complex phenomena that occurs in oil extraction in exhausted wells. Keywords: Bautista-Manero-Puig Equation, Porous Media, Generalized Darcy Equation, Analytical solutions.