Abstract: A position monitoring system includes a tubular with a cavity formed therein, a magnet movable relative to the tubular, and a sensor sensible of a magnetic field of the magnet. A housing positioned within the cavity sealably isolates the sensor from environmental properties while permitting the sensor to sense the magnetic field of the magnet.

Abstract: A position monitoring system includes a tubular with a cavity formed therein, a magnet movable relative to the tubular, and a sensor sensible of a magnetic field of the magnet. A housing positioned within the cavity sealably isolates the sensor from environmental properties while permitting the sensor to sense the magnetic field of the magnet.

Abstract: A system is provided for switching between redundant control systems for a subsurface safety valve (SSV) while being able to isolate the closure spring from hydrostatic pressure in the control line of the system that is not being used. There are two control lines that connect to discrete operating pistons that are both coupled to the flow tube. Each operating piston is connected to a control rod with the control rods terminating near opposed ends of a pivoting member. Pushing down on one rod pushes up on the other rod so that the other rod is held supported and the hydrostatic pressure in its associated control line doesn't affect the force needed by the closure spring to close the SSV. Releasing control line pressure puts the system in neutral to allow either of the systems to be reselected.

Abstract: A system is provided for switching between redundant control systems for a subsurface safety valve (SSV) while being able to isolate the closure spring from hydrostatic pressure in the control line of the system that is not being used. There are two control lines that connect to discrete operating pistons that are both coupled to the flow tube. Each operating piston is connected to a control rod with the control rods terminating near opposed ends of a pivoting member. Pushing down on one rod pushes up on the other rod so that the other rod is held supported and the hydrostatic pressure in its associated control line doesn't affect the force needed by the closure spring to close the SSV. Releasing control line pressure puts the system in neutral to allow either of the systems to be reselected.

Abstract: A method and apparatus for calculating fast Fourier transforms FFTs. An FFT of a given size is formatted using tensor product principles for implementation in apparatus or by software such that the same reconfigurable hardware or software can calculate FFTs of any dimension for the selected FFT size. The FFT is factored into an input permutation and successive stages for computing tensor products of dimensionless Fourier transforms of a relatively small base size and twiddle factors, with load-stride permutations between computation stages. The basic building blocks of the circuitry can be reconfigurable for maximizing use-flexibility of the hardware or software. Examples of digital circuit apparatus configured to compute dimensionless formatted FFTs are presented.