Intercooled cooling air with improved air flow

An intercooling system for a gas turbine engine comprising:

• a heat exchanger for cooling air drawn from a portion of a main compressor section at a first temperature and pressure for cooling the air to a second temperature cooler than the first temperature;
• a cooling compressor compressing air communicated from the heat exchanger to a second pressure greater than the first pressure and for communicating the compressed air to a portion of a turbine section;
• and
• said cooling compressor including a downstream connection for delivering discharge pressure air to an upstream location in the high pressure turbine and a second tap tapped from an intermediate pressure location within said cooling compressor, and said second tap for being connected to a downstream location within the high pressure turbine.

A gas turbine engine comprising;

• a high pressure compressor with a downstream discharge, and more upstream locations;
• a turbine section;
• and
• a tap tapping air from at least one of said more upstream locations in said compressor section, passing said tapped air through a heat exchanger and then to a cooling compressor, said cooling compressor compressing air downstream of said heat exchanger, and delivering air into said turbine.