Naturally fractured reservoirs in carbonate rocks usually contain more residual oil in the matrix than other reservoirs, due to the high permeability fracture zones that carries the flooded fluids, leaving parts of the reservoir untouched. Studies on spontaneous imbibition with both water and surfactant has been conducted through simulations to exploit the fractures as a network to reach out to the matrices. Capillary pressure and interfacial tension modification on relative permeability curves has been done to represent the effect of surfactant injection This study show that reducing the interfacial tension and capillary pressure by surfactant injection, will result in a slightly lower oil production initially, compared to regular waterf...