“…Capillary pressure plays a vital role in multiphase flow of tight sandstone (Chen et al, 1991;Landry et al, 2014;Tang et al, 2017), it is a generic term that includes dynamic capillary pressure and static capillary pressure (Das et al, 2005;Abidoye et al, 2014;Cai et al, 2014). Recent studies indicate that dynamic capillary pressure is better than static capillary pressure concept for describing transient two-phase flow under dynamic conditions (Hassanizadeh et al, 2002;Dahle et al, 2005;Niasar et al, 2010;Bottero et al, 2011;Diamantopoulos et al, 2016;Li et al, 2018c). To study the mechanism of dynamic capillary pressure, many simulation methods are used to simulate the multiphase flow behaviors in pore-scale, including smooth particle hydrodynamic methods (Tartakovsky and Meakin, 2006;Kunz et al, 2016), fluid volume method (Blunt et al, 2002;Raeini et al, 2014), and lattice Boltzmann method (LBM).…”