This study examines the effects of non-wetting phase trapping in viscous-modified low-interfacial tension flow during viscous surfactant waterflooding (or surfactant-polymer flooding) under three different injection flowrates in three initially preferential water-wet porous media (each with a different pore throat size) partially filled with heavy oil and brine. In two approaches developed in this study, dynamic mean pore-scale capillary number N c1 is considered as the foremost criterion to characterize the effect of non-wetting phase trapping. In the first approach, which is a pore network approach, the effect of phase trapping on the value of N c1 is neglected. In the second approach, which is a numerical method, the effect of phase trapping is included. By comparing the values of N c1 from the pore network approach and numerical method, the effect of phase trapping is characterized. The change in N c1 was found to be an appropriate tool to characterize the effects of phase trapping in viscous surfactant waterflooding.