Fired equipment exhaust recovery system

A process for reducing greenhouse gas emissions in fired equipment, the process comprising:

• feeding a fuel, a methane-containing gas, and an oxygen-containing gas into a first reactor unit;
• producing a combustion products stream from the first reactor unit, the combustion products stream comprising carbon monoxide, carbon dioxide, and water;
• cooling the combustion products stream via a cooling system to produce a cooled exhaust stream;
• feeding the cooled exhaust stream and hydrogen to a second reactor unit, the second reactor unit comprising a first reaction zone containing a catalyst for catalytically reacting oxygen with carbon monoxide to form carbon dioxide and a second reaction zone containing a catalyst for reacting carbon dioxide with hydrogen to produce methane, and converting at least 80% of the carbon dioxide to methane;
• recovering an effluent from the second reactor unit comprising methane and carbon dioxide;
• and
• feeding the effluent to the first reactor unit as the methane-containing gas.