Hello Symon,
I'm afraid that the other replies seem to miss the point and give "generic" answers to see if they are lucky.
Unfortunately, you can only migrate data with RMAN backup (or imp/exp ...)
the "old"/"traditional" backup with cpio/dd will not be able to enter the data (you will not be able to restore the data)
On SCN you have the SAP on Oracle Automatic Storage Management page and you can check there the document Best Practices for Migration of an SAP Database to Oracle ASM that describes how to migrate from filesystem to ASM