System and method for co-production of a densified liquid oxygen product and densified liquid methane product

A system for co-production of a densified, liquid oxygen stream and a densified liquid methane stream comprising:

• a first refrigeration stage comprising a first primary heat exchanger and a first subcooler;
• wherein the first primary heat exchanger is configured to cool a gaseous oxygen stream via indirect heat exchange with one or more intermediate pressure recycle streams of a first refrigerant and one or more low pressure refrigerant streams of the first refrigerant which are configured to flow through the first primary heat exchanger to yield a cooled gaseous oxygen stream;
• wherein the first subcooler is configured to liquefy and subcool the cooled gaseous oxygen stream via indirect heat exchange with a residual portion of a first intermediate pressure liquid stream of the first refrigerant to yield a subcooled liquid oxygen stream;
• a second refrigeration stage comprising a second heat exchanger configured to flow a second refrigerant through the second heat exchanger to further subcool the liquid oxygen stream and yield the densified, liquid oxygen stream;
• and
• a third refrigeration stage comprising a third heat exchanger configured to densify a stream of liquid methane via indirect heat exchange with a diverted portion of a second intermediate pressure liquid stream of the first refrigerant to yield a densified, liquid methane stream.