Technique and apparatus for multiple zone perforating

A technique that is usable with a well includes running a production string into the well so that the production string extends through a first isolated zone of the well and at least into a second isolated zone that is located farther into the well than the first isolated zone. The production string includes integrated perforating charges. The technique also includes firing the perforating charges inside the first zone; and after the firing, maintaining fluid isolation between the first isolated zone and a passageway of the production string. The passageway communicates well fluid from the second isolated zone.