The focus of this paper is the derivation of a non-standard model for microbial enhanced oil recovery (MEOR) that includes the interfacial area (IFA) between the oil and water. We consider the continuity equations for water and oil, a balance equation for the oil-water interface and advective-dispersive transport equations for bacteria, nutrients and surfactants. Surfactants lower the interfacial tension (IFT), which improves the oil recovery. Therefore, we include in the model parameterizations of the IFT reduction and residual oil saturation as a function of the surfactant concentration. We consider for the first time in context of MEOR, the role of IFA in enhanced oil recovery (EOR). The motivation to include the IFA in the model is to reduce the hysteresis in the capillary pressure relationship, include the effects of observed bacteria migration towards the oil-water interface and biological production of surfactants at the oil-water interface. An efficient and robust linearization scheme was implemented, in which we use an implicit scheme that considers a linear approximation of the capillary pressure gradient, resulting in an efficient and stable scheme. A comprehensive, 2D implementation based on two-point flux approximation (TPFA) has been achieved. Illustrative numerical simulations are presented. We give an explanation of the differences in the oil recovery profiles obtained when we consider the IFA and MEOR effects. The model can also be used to design new experiments in order to gain a better understanding and optimization of MEOR.Among the various sources of energy, oil remains as one of the most valuable ones, considering its extensive use in the daily life, such as in the production of gasoline, plastic, etc. After discovering a petroleum reservoir, one can extract about 15-50% of the oil by using and maintaining the initial pressure in the reservoir through water flooding (first and second phase oil recovery); however, 50-85% of oil remains in the reservoir after this, so called conventional recovery [34]. This is the motivation for developing new extraction techniques in order to recover the most oil possible. One of these EOR techniques consists of adding bacteria to the reservoirs and using their bioproducts and effects to improve the oil production, which is called MEOR. Besides all MEOR experiments [3,16], it is worth pointing out that MEOR has been already used successfully in oil reservoirs [24,34]. Nevertheless, the MEOR technology is not yet completely understood and there is a strong need for reliable mathematical models and numerical tools to be used for optimizing MEOR.The bioproducts formed due to microbial activity are acids, biomass, gases, polymers, solvents and surfactants [41]. The main purpose of using microbes (bacteria) is to modify the fluid and rock properties in order to enhance the oil recovery. These microbes and the produced surfactants have the advantage to be biodegradable, temperature tolerant, pH-hardy, non-harmful to humans and lower concentrations of them can produ...