While simulations of single-phase flow and determination of permeability have become standard in digital rock technology,more research work is needed to better understand two-phase flow as well as the impact of pore-scale flow patterns and associated dissipation on the attenuation due to wave-induced local flows.Here we develop a simulation workflow based on the Navier-Stokes equations to calculate absolute permeability and address the issue of dissipation within viscous boundary layers in porous rocks with rigid and deformable frames.The advantage of using the full Navier-Stokes equations is that this workflow can be extended for two-phase flow.