Abstract: A valve can include a closure device which selectively permits and prevents fluid communication between an interior and an exterior of the valve, an incremental displacement device which incrementally displaces the closure device in response to pressure differentials between the interior and the exterior of the valve, and an accelerator device which accelerates displacement of the closure device in response to a predetermined pattern of the pressure differentials. A method of operating a valve in a well can include applying a predetermined pattern of pressure differentials between an interior and an exterior of a tubular string in which the valve is connected, thereby incrementally displacing a closure device of the valve, and accelerating displacement of the closure device in response to the predetermined pattern of pressure differentials, thereby displacing the closure device to a selected one of an open and a closed position.

Abstract: Hybrid-tieback seal assemblies, interventionless setting assemblies, and associated methods of setting downhole components of the hybrid-tieback seal assemblies using such interventionless setting assemblies are disclosed. A hybrid-tieback seal assembly comprises one or more anchoring bodies, one or more packer seal assemblies, and one or more interventionless hydraulic setting systems. A method of setting downhole equipment comprises applying a pressure to a compensating volume and providing a working volume, wherein the working volume is separated from the compensating volume by one or more hydraulic control devices. A pressure is applied to the working volume in response to the pressure applied to the compensating volume. The pressure applied to the compensating volume is then reduced and the pressure applied to the working volume is captured by the hydraulic control devices. The captured pressure in the working volume is applied to set one or more of the anchoring bodies and packer seal assemblies.

Abstract: A valve can include a closure device which selectively permits and prevents fluid communication between an interior and an exterior of the valve, an incremental displacement device which incrementally displaces the closure device in response to pressure differentials between the interior and the exterior of the valve, and an accelerator device which accelerates displacement of the closure device in response to a predetermined pattern of the pressure differentials. A method of operating a valve in a well can include applying a predetermined pattern of pressure differentials between an interior and an exterior of a tubular string in which the valve is connected, thereby incrementally displacing a closure device of the valve, and accelerating displacement of the closure device in response to the predetermined pattern of pressure differentials, thereby displacing the closure device to a selected one of an open and a closed position.

Abstract: Interventionless setting assemblies and associated methods are disclosed. A method of setting downhole equipment comprises applying a pressure to a compensating volume and providing a working volume, wherein the working volume is separated from the compensating volume by one or more hydraulic control devices. A pressure is applied to the working volume in response to the pressure applied to the compensating volume. The pressure applied to the compensating volume is then reduced and the pressure applied to the working volume is captured by maintaining the pressure applied to the working volume when the pressure applied to the compensating volume is reduced. The captured pressure in the working volume is applied to set downhole equipment.

Abstract: Interventionless setting assemblies and associated methods are disclosed. A method of setting downhole equipment comprises applying a pressure to a compensating volume and providing a working volume, wherein the working volume is separated from the compensating volume by one or more hydraulic control devices. A pressure is applied to the working volume in response to the pressure applied to the compensating volume. The pressure applied to the compensating volume is then reduced and the pressure applied to the working volume is captured by maintaining the pressure applied to the working volume when the pressure applied to the compensating volume is reduced. The captured pressure in the working volume is applied to set downhole equipment.

Abstract: Hybrid-tieback seal assemblies, interventionless setting assemblies, and associated methods of setting downhole components of the hybrid-tieback seal assemblies using such interventionless setting assemblies are disclosed. A hybrid-tieback seal assembly comprises one or more anchoring bodies, one or more packer seal assemblies, and one or more interventionless hydraulic setting systems. A method of setting downhole equipment comprises applying a pressure to a compensating volume and providing a working volume, wherein the working volume is separated from the compensating volume by one or more hydraulic control devices. A pressure is applied to the working volume in response to the pressure applied to the compensating volume. The pressure applied to the compensating volume is then reduced and the pressure applied to the working volume is captured by the hydraulic control devices. The captured pressure in the working volume is applied to set one or more of the anchoring bodies and packer seal assemblies.