Gas injection as one of the interesting enhance oil recovery (EOR) methods has been attracted many attentions, hence, numerous experimental and simulation studies of this process were investigated by several researchers. However, an investigation of some parameters such as the effect of injection gas, the effect interfacial tension (IFT) at minimum miscible pressure (MMP), named IFT0 in the present study, the impact of porous medium on the IFT and subsequently on the gas injection process is still missing. Hence, in this paper, the effect of injection gases, IFT0, and the influence of porous media on the IFT and then on the fractional flow of gas, saturation curve of gas, and relative permeability of oil and gas were investigated. Depending on the type of injection gases used, our findings indicate that different MMPs can be achieved. Additionally, the type of injection gases affects fractional flow, saturation, and relative permeability curves. Our investigation illustrated that the impact of IFT0 aforementioned curves is depended on the miscible and immiscible conditions. The effect of porous medium and fracture on the IFT of system have observed, while modified IFT did not affect fractional flow, saturation, and relative permeability curves.