“…The numerical analyses of front instability of immiscible displacement mainly focus on viscous instabilities between two immiscible fluids that are dependent on the viscosity ratio (An et al., 2020; Bakharev et al., 2020; Chuoke et al., 1959; Gorell & Homsy, 1983; Peters & Flock, 1981; Sorbie et al., 2020; Yuan et al., 2021). Some studies also emphasize the impact of physical diffusion and dispersion (Christie & Bond, 1987), heterogeneity of the system (Farthing et al., 2012; Luo et al., 2018), and capillary pressure (Berg & Ott, 2012; Chen et al., 2017; Ott & Berg, 2013) on the front instability.…”