Higher the methane (CH4) content, which also increases the lower heating value (LHV) of the fuel, increases the GT power output and reduces heat rate. Also, NOx emissions decrease. The higher the CH4 content, greater is the water vapour in the products of combustion. This improves the engine performance (water vapour has a higher cp). The higher water vapour also suppresses the peak combustion temperature and therefore lower NOx emissions.
If the fuel composition is outside the OEM spec and this results in a significant decrease in LHV, CO, smoke and (free) carbon emissions can increase due to insufficient residence time in the combustor. Burning carbon can destroy the turbine, due localised high temperatures in the turbine section.