Hyraulically releasable inflation tool for permanent bridge plug

A disconnect tool for use in a subterranean well, comprising:

• a first housing releasably connected to a second housing, the second housing having a first fluid circulation port, a second circulation port, and an inner bore therethrough;
• a first piston releasably connected to the first housing, and having an inner bore therethrough, an upper ball seat and a lower ball seat, the lower ball seat having a diameter less than a diameter of the upper ball seat, the first piston having a run-in circulation port and an inflation port, the run-in circulation port being in fluid communication with the first circulation port in the second housing before a lower ball is engaged with the lower ball seat, the inflation port directing fluid flow from the inner bore of the first piston to a portion of the inner bore of the second housing below the lower ball seat when the lower ball is engaged with the lower ball seat;
• and
• a second piston releasably connected to the second housing, the inflation port being in fluid communication with the second circulation port in the second housing after the second piston is disconnected from the second housing, the first piston being disconnected from the first housing after a second ball is engaged with the upper ball seat to thereby disconnect the first housing from the second housing.