The fluid flow in porous rock is dominated by the skeletal pore structure, anisotropy, and properties of participating fluid. Upon sequestration of carbon dioxide(CO_2) in geological formation, the fate of injected CO_2 is of interest to optimize the storage capacity. This study investigates the effect of fluid properties on the residual saturation of injected CO_2 and relative permeability using the Lattice-Boltzmann method(LBM). The reliability of LBM is validated by using the simple geometry and known analytical solution. The 3D image of Berea sandstone is then obtained by X-ray computed tomography and the binarized pore and solid phases are imported for numerical simulation. The designated relative saturations of two phase fluids are imposed and iteratively circulated until the steady-state condition. The effect of anisotropy and viscosity is explored to highlight the unique evolution of relative permeability curves.
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