Abstract

Summary In this paper, we explore the effect of capillary number (NCap) on the immiscible fluid displacement in porous media. To aim at this, we conducted a 2D numerical simulation using Lattice Boltzmann Method (LBM) with a multiphase-multicomponent (MCMP) scheme and single relaxation time (SRT) collision model. We validated our model through performing a numerical simulation for Poiseuille flow and comparing the simulation results against the analytical solution. Thereafter, by calculating the optimum repulsive interaction strength, we simulated the capillary rise phenomena to verify the applicability of the model for MCMP simulations. Finally, immiscible displacement of oil by water in a bundle of capillary tubes was simulated using the LBM based code by varying the contact angle and IFT values. The model could successfully predict the displacement process. Hence, we employed it for construction of Capillary Desaturation Curves (CDC) for an oil wet system.

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