Assuming the database replication is invisible to JIRA, this can work. I've seen cases of Oracle RAC working with confluence for example. However, note this is not officially supported by Atlassian.
As Renato said, I would recommend to work with the database you are most proficient on.
Actually we don't have a specific documentation to Database replication. But you should be able to setup a master -> slave replications with no big issues. About what database you should use, my recommendation is you use a supported database and one your DBA feel comfortable to work .
However, if you are concerned about disaster recovery issues, I recommend you to have a look on the Data Center edition:
Hey Community mates! Claire here from the Software Product Marketing team. We all know software development changes rapidly, and it's often tough to keep up. But from our research, we've found the h...
Connect with like-minded Atlassian users at free events near you!Find a group
Connect with like-minded Atlassian users at free events near you!
Unfortunately there are no AUG chapters near you at the moment.Start an AUG