“…Studies have also been conducted on the simulation of the drainagetype displacements based on the quasi-static pore-scale approach (Hilpert and Miller, 2001), model considering phase trapping (Bryant and Johnson, 2003), invasion percolation model (Neuweiler et al, 2004), bundle of tubes model (Helland and Skjaeveland, 2006;Virnovsky et al, 2009), medial axis analysis (Lindquist, 2006), mathematical relationships for the removal of the wetting liquids (Mayer and Stowe, 2006), quasi-static displacements (Prodanović and Bryant, 2006), lattice-Boltzmann pore-scale modeling (Papafotiou et al, 2008), upscaled model derived with the homogenization theory (Vasin et al, 2008), aperture-scale simulation using level set method , and the grain-based model within fractional-wet porous media (Motealleh et al, 2009).…”