Investigation of the Steady State Relative Permeability in ۲D Porous Media using Lattice Boltzmann Method

This paper is focused on the interparticle-potential lattice Boltzmann method (LBM) proposed by Shan and Chen and the ability of the model for study the single/multiphase flow in porous media. Firstly, single-phase fluid flow in ۲D generated porous media with different pore structures is simulated and its absolute permeability is predicted. Then, a nonideal equation of state that governed Bulk regions of the two phases is incorporated into the LB algorithm in order to simulate high density ratio immiscible two - phase flow. Finally, the high density immiscible two-phase flow LB model is applied in the ۲D generated porous media, then effective permeability of each phase is measured and the phase relative permeability curves as a function of wetting saturation are computed for the bulk media using Darcy's law. Effect of the viscosity ratio on the predicted relativepermeability is studied in detail. The results showed that when viscosity of non-wetting is greater than wetting phase, the non-wetting relative permeability coefficients has a value greater than one. This is in agreement with the results that have been obtained by Odeh.

کلیدواژه ها:

lattice Boltzmann ، permeability ، porous media ، Shan-Chen ، immiscible