Oil recovery can include providing a tubing string and isolation devices to define isolated intervals for an existing well previously operated using plug-and-perf and primary production. Valve assemblies are installed in respective isolated intervals, each valve assembly including at least two valves. The valve can be operated in open and closed configurations, and at least one open configuration provides choked flow via an elongated passage. The valves can have a housing and a shiftable sleeve. The valve assemblies can be operated to provide a desired openness based on the injectivity or other properties by shifting the sleeves of the valves. Different flow resistance levels can be provided to facilitate enhanced operations for water flooding and other oil recovery processes.