In recent years, numerical simulation and streamline simulation methods have been commonly used for characterizing and evaluating oil reservoirs. The conventional characterization parameters include oil saturation, remaining reserves abundance, flow path, etc. However, information obtained from the conventional characterization parameters is limited. For instance, the residual oil saturation and remaining reserves abundance do not consider the remaining oil flow capacity, and the flow path characterization does not consider the remaining oil potential. In this paper, based on numerical simulation and streamline simulation techniques, the authors have established new scalar and vector evaluation methods for the remaining oil potential in water-driven oil reservoirs. First, to reflect the displacement effect in different areas from a scalar perspective, we propose new parameters characterizing the remaining oil potential abundance: the remaining oil flow capacity (J) and hydrodynamic strength (HS). Based on the established J and HS values, the oilfield is divided into four regions. Second, to reflect the fluid flow between injection and production wells from a vector perspective, we propose the parameters of total flow rate (F), the remaining oil development potential (P), and the oil cut of the fluid in the flow path (f_o). To verify the theoretical model, the developed scalar and vector evaluation methods were applied in the Bohai Bay oilfield in China. Based on the evaluation results, measures to increase oil production were proposed. The field tests results show that after the proposed measures were implemented in two test wells, the resulting average daily oil production increased by 40%. The scalar and vector evaluation methods proposed in this study can provide support for the quantitative evaluation of the reservoir development potential. The evaluation results can be used as the basis for the selection of further steps in the middle and late stages of oilfield development.