US Patent 9045963 High pressure and high temperature ball seat

An isolation device for a frac plug, the isolation device including a ball seat having a seating surface and a ball configured to contact the seating surface, wherein a profile of the seating surface corresponds to a profile of the ball. A frac plug including a mandrel having an upper end and a lower end, a sealing element disposed around the mandrel, and a ball seat disposed within a central bore of the mandrel, wherein the ball seat includes a seating surface having a non-linear profile. A method of isolating zones of a production formation, the method including setting a frac plug between a first zone and a second zone, disposing a ball within the frac plug, and seating a ball in a ball seat of the frac plug, the ball seat including a seating surface having a profile that substantially corresponds to the profile of the ball.