Two-dimensional numerical simulations have been carried out in this paper concerning the dynamic foam displacement process in a homogeneous porous media with confined inlet and exit geometry arrangements. Stochastic bubble population balance model is employed to describe the foam generation process and the IMPES algorithm is used to solve the equation sets of transient two-phase flow process. Detailed analysis has been carried out based on numerically obtained two dimensional parameter distributions of water saturation

water pressure and bubble density. Obvious development progress has been observed near the core inlet in the dynamic foam flooding process

whereas the effect of shrinking outlet could be neglected before the foam fluid making breakthrough from the sample. Good agreements between numerical and corresponding experimental results indicate the stochastic bubble population model could describe adequately the foam generation and coalescence mechanism and therefore could be applied to simulate and predict accurately the foam dynamic propagation process in homogeneous porous media.