Disclosed are methods and systems for reducing elemental sulfur production in a gas production plant that includes receiving produced fluids high in hydrogen sulfide, removing hydrogen sulfide and converting hydrogen sulfide to elemental sulfur in a Claus unit. An acid gas stream is diverted from a feed line to the Claus unit in the gas processing plant and directed to a multistage acid gas compressor. An elemental sulfur production rate is reduced without reducing a production rate of the produced fluids. The compressed acid gas stream can be injected into a subterranean formation. In some embodiments, the gas production plant is integrated with an oil processing and gas injection plant.