No one has yet found a real solution to the 20,000-30,000 year half-life of some of these wastes. A number of years ago, they were sure they could bury it in salt mines in Kansas, about 40 miles from where I lived. Then someone pointed out that sat is a fluid.....a slow fluid, to be sure...but it moves, and no one could prove where it would go in 30,000 years.

The only real 'disposal' would be to shoot it at the Sun in rockets....but the cost and only a 97% success rate in launching rockets made 'em give up that idea.