SSD physically retrieved from a computer that is turned off. The entire disk is encrypted with AES 256-bit (GNU/Linux, LUKS). The SSD has had TRIM enabled for several years and the file system has seen a lot of use, i.e. a lot of files deleted over time (triggering TRIM). Assume that the key used is sufficiently strong to resist any brute force/dictionary attack.
As far as I understand it, TRIM aids in cryptanalysis in that it will be known which regions of the device are in use and which are not in use.
But exactly how does the cryptanalysis proceed from here? What kind of attack will be performed? Does the attack have a name? Does it have any realistic chance of success? It would be interesting to know if an attack like this ever succeeded, either in an academic setting or known to have succeeded in the field.