Due the growing demand for oil and gas and the high cost of exploration and exploitation processes, it is essential to guarantee the safety and the integrity of completion structures that compose a well. In this context, there are reservoir located in poorly consolidated or with incomplete cementation rocks, that experience a phenomenon known as Solid Production which consists in the desegregation of rock particle, that when carried with the production fluid can generate problems as equipment erosion and well plugging. In order to mitigate these problems, it is usual toadopt mechanical control techniques, with the use of sand control equipment as sand screen and gravel pack. These structures are intended to prevent the particles produced from entering the well. The present work seeks to understand the behavior and the mechanical integrity of sand control structures in field situations. With this purpose, a numerical modeling methodology was developed and incorporates the rock-screen interaction. The model was applied to a cubic cell test, where the results were compared in order to evaluate if the considerations were in accordance with reality. As a response to this analysis, it was noticed that the properties of the gravel pack do not have a literature defined value, and that it would be necessary to calibrate they properties in accordance to the characteristies of the material. The calibration showed that the gravel pack has an anisotropic non-linear behavior and, with this assumption, was generated a set of properties that lead to results in agreement with the test. Finally, an active well with depletion was simulated, where one hypothesis was assumed for gravel pack properties and three interface condition between the components were evaluate, as well as the mechanical integrity of the sand screen and the completion structures.