OUTFLOW CONTROL DEVICE, SYSTEMS AND METHODS

A well tool assembly can include a well screen configured to filter fluid flow between an interior and an exterior of a tubular string, and an outflow control section that permits the fluid flow in an outward direction and prevents the fluid flow in an inward direction, the outflow control section including at least two outflow control valves arranged in series. A method can include installing a well tool assembly including a well screen, flowing a fluid from an exterior to an interior of a tubular string through the well screen and an inflow control valve of the well tool assembly, and flowing another fluid from the interior to the exterior of the tubular string through the well screen and at least one outflow control valve of the well tool assembly.