Flapper stabilization for back pressure valve

A method of operating a valve assembly in a well, the method comprising:

• connecting the valve assembly in a tubular string, the valve assembly including at least one valve that permits flow in a first direction through a longitudinal flow passage of the valve assembly but prevents flow in a second direction opposite to the first direction;
• flowing fluid in the first direction through the tubular string, thereby displacing a closure member of the valve to an open position;
• increasing a velocity of the fluid through a first section of the longitudinal flow passage, thereby creating a reduced pressure in the first section;
• and
• exposing a side of the closure member to the reduced pressure, thereby preventing displacement of the closure member toward a closed position, the exposing comprising communicating the reduced pressure to the side of the closure member via at least one port substantially isolated from the flow passage between the flow passage first section and the side of the closure member.