Axially restricted pressure shuttle

A system for coupling objects in a wellbore, the system comprising:

• a unidirectional valve having a body, the body including two or more body lugs extending radially outward, each body lug of the two or more body lugs extending at least a portion of a circumferential distance of the body;
• and
• a tubing hanger installed within a wellbore, the tubing hanger having an inner diameter greater than a maximum outer diameter of the unidirectional valve and a bore that receives the unidirectional valve, the bore including a bi-directional axial restraint system that receives the two or more body lugs and blocks axial movement of the unidirectional valve in a first position, via interference between the two or more body lugs and the bi-directional axial restraint system, and enables axial movement of the unidirectional valve in a second position, the unidirectional valve being non-threadingly coupled to the tubing hanger, wherein the two or more body lugs have respective body lug axial heights less than an opening axial height corresponding to an opening of the bi-directional axial restraint system that receives the two or more body lugs, the two or more body lugs being movable within the opening responsive to whether pressure is applied axially below the unidirectional valve or axially above the unidirectional valve, and movement of the unidirectional valve adjusting a sealing location of a seal along a sealing surface of the bore.

A method for installing a valve into a tubing hanger, the method comprising:

• aligning the valve with a bore of the tubing hanger;
• axially moving the valve through the bore;
• landing at least a portion of the valve on a shoulder extending radially inward from the bore and arranged axially lower than at least two hanger lugs extending radially inward;
• rotating the valve less than one full rotation;
• engaging, via a seal secured to the valve, a first sealing location along a sealing surface of the bore, the first sealing location selected responsive to a downward axial force applied to the valve;
• and
• engaging, via the seal, a second sealing location along the seal surface of the bore, the second sealing location selected responsive to an upward axial force applied to the valve.