This paper describes a simulation study of water coning control in an oil production well. In the presence of bottom water, a drop in the reservoir pressure due to oil production causes the water to flow into the reservoir. Therefore, hydrocarbon production is limited by the critical flow rate. A 3D cylindrical nonisothermal two-phase filtration model has been taken into account all terms of the existing mathematical model including barrier-drainage system investigation. A new formula for approximation of Leverett J-function has been proposed which is convenient to use in numerical experiments. Model verification and validation were conducted by using the existing and simulated data of water coning in conventional wells as well as test functions in the isothermal case without barrier - Downhole Water Sink (DWS) system. The output of a comparison between this 3-D model and the reservoir numerical simulator show the developed computer program can be applied to investigate the behavior of water coning, and to predict the breakthrough time at the bottom water reservoir.