Described herein are method and apparatus for using an LLRRM device as a storage device in a storage system. At least three levels of data structures may be used to remap storage system addresses to LLRRM addresses for read requests, whereby a first-level data structure is used to locate a second-level data structure corresponding to the storage system address, which is used to locate a third-level data structure corresponding to the storage system address. An LLRRM address may comprise a segment number determined from the second-level data structure and a page number determined from the third-level data structure. Update logs may be produced and stored for each new remapping caused by a write request. An update log may specify a change to be made to a particular data structure. The stored update logs may be performed on the data structures upon the occurrence of a predetermined event.