There is no plan for this stuff. The repository that was built in Nevada was never actually approved and it is not legal to use. So everyone that was planning on sending stuff there has just been piling it in the side yard waiting for something. New Mexico is now trying to open up a waste site.
But if you operate a reactor in Tennessee, right now you have no idea where to store the waste so you just keep piling it higher and deeper on site.
Source: rumour and gossip