The production of solids in oil and gas reservoirs is a consequence of the flow of fluid passing through a poorly or an unconsolidated rock (uncemented) towards the extraction well, a process instigated fundamentally by the state of tensions, rock resistance and the completion around the hole. The amount of eroded material can create zones of instability and collapsible zones, flaws in the oil extraction machinery, and environmental problems due to the waste disposal. Many are the methods that try to predict the percentage of production of solids, they can be based on previous field results, laboratory or theoretical models. Most of the numerical models are based on mechanics of continuous media, and some on discrete models, which, unlike the continuous methods, can capture discontinuities at the micro scale. Therefore, the DEM was used in conjunction with the computational fluid dynamics, that will calculate the fluid flow through the solution of the Navier-Stokes equation to simulate the disintegration of sediments of the matrix rock under different conditions. The simulations were done in the software CFDEM (trademark) project Goniva et al. (2012). The results showed similar patterns to those obtained in laboratory tests with continuous particle production and stability arc formation in the sample.