take a look at Misi Mladoniczky command line tool for data migration.
There are also other commercial tools available such as Alderstones CMT (https://www.alderstone.com/cmt-use-cases).
If the DB is the same version, you could restore a backup on the new server then update the server references using BMC and third party tools available.
What is the objective of migrating database data?
We are upgrading from Remedy 8.1 to 19.02 and are changing Oracle servers/database.
Recently we had the same problem, our database is 2 tb, the procedure to migrate was to replicate an environment 8.1 do the update in the replicated environment, Once the environment is updated, overwrite the original virtual machines with the updated ones, finally migrate delta data with ddm.