Biogas calorific value upgrading into biomethane or methane-rich gas is an attractive choice for renewable energy alternatives. Exploitation of methane-rich gas from landfill has gained increasing traction recently due to its fuel source diversification potential towards carbon neutrality and energy security. In this paper, methane enrichment process in a membrane plant from a biogas mixture containing methane, carbon dioxide, nitrogen, oxygen, hydrogen sulfide and water vapor was modeled and compared with the actual plant data. Results from this work reveal an interesting relationship between purity-recovery and the process operating conditions. The model was capable of simulating the methane enrichment effectively with merely 0.07% error in predicting methane purity and 0.52% error in predicting methane recovery. The model allows optimization of methane purity from 87.26% to 99.87% and methane recovery from 91.63 to 99.49% at permeate to feed ratio (stage cut) of 0.30, without the need for re -staging of the plant. (C) 2018 Elsevier Ltd. All rights reserved.