Time delayed actuation of well tool

A method of actuating a well tool in a subterranean well, the method comprising:

• applying a predetermined fluid pressure to a flow passage extending axially through the well tool, thereby opening a rupture disc of the well tool and metering fluid from a first chamber of the well tool to a second chamber of the well tool;
• releasing a release member in response to the fluid metering, thereby permitting displacement of a well tool component;
• and
• displacing the well tool component to an actuated position in response to the releasing,
• in which the metering comprises flowing the fluid through a flow restrictor disposed in a piston of the well tool, and in which the metering further comprises displacing the second chamber with the piston.

A system for use with a subterranean well, the system comprising:

• a well screen configured to filter flow from an annulus surrounding the well screen into an internal flow passage of a tubular string in which the well screen is connected;
• and
• a well tool that initially prevents fluid flow from the well screen into the flow passage, the well tool being configured to permit the fluid flow from the well screen into the flow passage an amount of time after a predetermined fluid pressure is applied to the flow passage,
• in which the amount of time is determined by a predetermined volume of fluid metered from a first chamber to a second chamber of the well tool, and in which the second chamber is configured for displacement with a piston of the well tool.