A simulator for one-phase flow in porous media near a wellbore is coupled with a thermodynamic model and a network model in order to predict the change in petroleum flow under asphaltene deposition. The thermodynamic model is capable of predicting the quantity of precipitated asphaltene. The network model is used to predict formation damage due to in situ asphaltene deposition. The model is qualitatively evaluated using data from literature. Results are in concordance with expected physical behavior.