Aiming to increase hydrocarbon production, the oil industry has developed recovery methods whose purpose is to get more production. Thus, several problems may be encountered when making use of these techniques, mainly the conventional, in geologically complex reservoirs. In addition, consideration of geological structures in reservoir engineering, such as faults, has fundamental character for determining realistic response for the production of hydrocarbons. In the specific case of faults, its consideration in the model has significant importance currently, especially with regard to the possibility of reactivation associated with the emergence of a preferential path for the hydrocarbon, implying, in the most critical cases, in the leakage of fluid and possible loss of tightness of the reservoir. In this context, four reservoir models were developed with slope of 80 degrees and 60 degrees for the cases of fault plane and fault zone. Using coupled hydro-mechanical simulations we studied two numerical approaches to treat the plan/fault zone. The first methodology makes use of contact interactions and the fault was treated as a plan. The second methodology considers a fault zone whose behavior is given by the criterion of Mohr-Coulomb yielding. In the analysis of the results was observed that the use of contact interactions requires the use of a friction model that takes into account the drop of the effective normal stress in the failure criterion. The plasticity model showed consistent results in relation to the process of reactivation of the fault zone for the models built. As a general conclusion of the study, it is stated that the consideration of fault planes or fault zones in reservoirs must be carefully defined in the geomorphological model, since the modeling of these types of geological structures requires the use of different numerical techniques to determine their hydromechanical behavior.