In the oil industry, pigging operations in pipelines have been largely applied for different purposes: pipe cleaning, inspection, liquid removal and product separation, among others. Pigging operations to be efficient and safe require a number of operational parameters, such as maximum and minimum pressures in the pipeline and pig velocity, to be well evaluated during planning stage and maintained within stipulated limits while the operation accomplishment. With the objective of providing an efficient tool to assist in the controlling and designing of pig operations through pipelines, a numerical code based on a finite difference scheme for a two-fluid transient flow simulation was developed. The model accounts for liquid-liquid, gas-gas and liquid-gas products in the pipeline. Automatic control modules for some process variables were included to permit the flow prediction by means of different strategies to reach an efficient operation. Test problems were performed to validate the methodology. At last, simulation results were compared with an actual liquid displacement operation at a 60 km segment of the 30`` diameter OSPAR pipeline, owned by Petrobras.