The results of laboratory and numerical investigations of oxy-combustion flue gas purification for enhanced oil recovery (EOR) as well as storage purposes using the adsorption method were presented. The experimental investigations provided results of purification process and allowed to determine the correction factors for validation and calibration of the elaborated numerical model. In turn, the numerical simulations were used to extensive research on the purification process at different thermodynamic conditions and process configurations, other than applied at laboratory tests. Neither experimental research nor numerical simulations confirmed the possibility of enrichment the oxy-combustion flue gas to meet the conceptual design purity limits of oxygen at the level of 10ppmv (recommended by NETL) for EOR and storage purposes, but the purity of the product was met in the case of higher ones, described in the literature. The conducted analysis of the energy demand shows that the one-stage vacuum-pressure swing adsorption (VPSA) purification process requires about 57 kWh/km at recovery of 73.58% and product purity of 97.78% when the product is at the ambient pressure, 128 kWh/t(CO2) when the product is at 18 bar and 161 kWh/t(CO2) at the pressure equals 120 bar. Obtained results were also compared with the literature data. (C) 2019 Published by Elsevier Ltd.