Abstract: A plug and perforation system includes a plug that is configured to isolate formation zones within a wellbore that has a casing. The plug includes a flow control subassembly, an anchoring subassembly, and a sealing device. The flow control subassembly a valve assembly. The valve assembly includes a housing, a valve chamber inside the housing, a valve seat, and a valve element inside the valve chamber. In some embodiments, the valve element is secured to the housing with a frangible matrix that is manufactured as a unitary part with the valve element and the housing. The frangible matrix is designed to fail under a predetermined shearing load to allow the valve element to be pushed into the valve seat. In other embodiments, the valve element is retained by one or more shear pins or shearable threads.

Abstract: A ball-in-place plug configured to isolate formation zones within a wellbore includes an anchoring subassembly configured to secure the ball-in-place plug in the wellbore and a flow control subassembly configured to control the flow of fluid through the plug. The flow control subassembly is configured to allow bidirectional flow of fluid through the ball-in-place plug before the ball-in-place plug is activated, and wherein the flow control subassembly is configured to permit only unidirectional flow of fluid through the ball-in-place plug after the ball-in-place plug is activated.