Completing a Well in a Reservoir

Methods and systems for completing a well including injecting stimulation fluid to stimulate a first interval in the reservoir. The stimulation fluid has a pressure sufficient to open a number of check valves in the first interval, allowing stimulation fluid to flow into the first interval. A number of ball sealers configured to block flow through the check valves are dropped into the well to stop the flow of stimulation fluid into the first interval and begin treatment of a second interval. The stimulation fluid is injected to stimulate a subsequent interval with pressure sufficient to open a number of check valves in the subsequent interval, allowing stimulation fluid to flow into the subsequent interval. The dropping of ball sealers is repeated until all intervals are treated. At least part of the check valves are configured to allow stimulation fluid to flow into a distribution chamber with multiple openings.