A method and apparatus for replicating a data container of a source storage server at the logical level in an unordered stream of individual data units are described. In certain embodiments, the replication operations can be performed without regard to the differences in geometry of physical persistent storage of the source and destination storage servers and without regard to the differences in data container format of the source and destination storage servers. An initial replication operation of the source data container is performed by transferring the data objects within the source data container to a replica data container in the destination storage server as an unordered stream of individual data units while preserving data object identifiers of the source data objects. Afterwards, incremental replication operations can be performed to capture modifications to the source data container over time after the initial replication operation.