Hydrostatically insensitive valve assembly

A method, comprising:

• conveying a pressure-operated valve assembly into a wellbore, the pressure-operated valve assembly including:
• an outer mandrel defining a tubing string bore, and an inner mandrel arranged within the tubing string bore;
• a first atmospheric chamber at least partially defined by the outer mandrel, and a second atmospheric chamber at least partially defined between the outer and inner mandrels;
• a valve chamber defined in the inner mandrel and in fluid communication with the tubing string bore via a valve port and further in fluid communication with an annulus defined between the outer mandrel and an inner wall of the wellbore via an annulus port;
• an atmospheric chamber port provided in the valve chamber and in fluid communication with the second atmospheric chamber via a chamber conduit;
• a hydrostatically insensitive valve arranged within the valve chamber and including a piston providing a head with a first end exposed to pressure within the annulus via the annulus port and a second end exposed to pressure within the tubing string bore via the valve port;
• and
• a sliding sleeve arranged axially between the first and second atmospheric chambers;
• increasing a pressure within the tubing string bore and thereby moving the piston from a first position, where the head occludes the atmospheric chamber port, and a second position, where the atmospheric chamber port is exposed;
• communicating fluid pressure from the valve chamber to the second atmospheric chamber via the chamber conduit;
• and
• shifting the sliding sleeve in response to communicating the fluid pressure to the second atmospheric chamber and thereby reducing a volume of the first atmospheric chamber.