Disclosed are systems and methods for producing oil and gas while removing hydrogen sulfide from fluids produced from oil and gas reservoirs and injecting a sour gas stream containing the hydrogen sulfide into an underground formation. Hydrogen sulfide-selective membranes are used to debottleneck known systems and methods by removing hydrogen sulfide from bottlenecked plant process steps including sour gas compression, hydrogen sulfide removal and sour gas injection. Pressure ratio across the membranes can also be manipulated to provide further debottlenecking. Gas-gas eductors are also disclosed for use in leveraging relatively high-pressure streams to boost the pressure of low pressure streams. Oil production is thus increased.