During the production steps of a petroleum well, issues regarding sand production may have hight costs due to damages in the equipment or reduction of the well’s productivity. Such problems make the application of sand control systems in the completion phase one of the most complex and essential parts in the construction of the well. This work aims to simulate the behavior of different sand control methods (gravel packing and stand alone) taking into account mechanical interaction between the formation and sand control screens. For the development of the present study, elastoplastic (Mohr Coulomb) models are used to represent granular materials with the commercial FEM software Abaqus, chosen due to its versality in the solution of non-linear problems named out previously. Numerical simulations were compared to experimental tests which presented similar behavior regarding the numerical analysis. In addition, it was observed the capability of the gravel packing to withstand the stresses up to a certain state of stress.