In cementing processes of oil wells, the mud formerly used to drag the gravel, to lubricate and to cool the drill is removed and substituted by a cement mixture. This substitution is obtained by the displacement of a fluid by another in the annulus between the rock formation and the casing. For best results of cementing process, intermediate fluids, also called spacers, are used between the drill mud and the cement mixture. The displacement process is very complex due to geometry and fluids characteristics. The annular space is eccentric in most cases, and both drilling mud and cement mixtures are non-Newtonian fluids. In this work, an experimental and numerical study is performed to analyze this process. A vertical experimental plant was constructed to simulate the fluid displacement through eccentric annuli. The interface shapes between two adjacent fluids were visualized using a digital CCD camera. The images were compared with the results obtained in the numerical simulations. The numerical solution was obtained via the Finite Volume technique and using the Volume-of-Fluid method. The effects of eccentricity, displacement velocity and rheological parameters on the displacement e± ciency were investigated. Based on these results we can predict the liquid characteristics and the operational parameters that optimize the displacement process.