Equalizing cartridge for a flapper valve

A resource exploration and recovery system comprising:

• a surface system;
• a subsurface system including a tubular string extending into a formation, the tubular string being formed from one or more tubulars, at least one of the one or more tubulars supports a one-way valve comprising:
• a housing including a longitudinal axis defining a flow bore;
• a valve seat arranged in the housing along the flow bore;
• a flapper member pivotally supported in the housing between a closed position and an open position, the flapper member including a first side having a sealing surface that selectively engages the valve seat in the closed position and an opposing second side, the flapper member including a central portion that is aligned with the longitudinal axis in the closed portion and a passage extending through the flapper member;
• and
• an equalizing cartridge arranged in the passage, the equalizing cartridge including an equalizing housing and an equalizing plunger including an activation end provided at the first side of the flapper member.

A method of equalizing pressure across a one-way valve comprising:

• shifting a flow tube toward a flapper member of the one-way valve;
• engaging, with the flow tube, an activation end of an equalizing plunger arranged in an equalizing housing provided in the flapper member;
• unseating the equalizing plunger from the equalizing housing;
• equalizing pressure across the one-way valve;
• and
• opening the flapper member with the flow tube.