Ocean floor disposal (also know of Sub-seabed) seems like a quite reasonable way of getting rid of nuclear waste you don't want to see again. Load it into a giant dart, drop it from a ship, allow it to pick up speed as it drops to the ocean floor, and it buries itself deep in the ocean's clay. It helps deal with concerns about access to the waste, as the number of submersibles that can work that deep is likely very small.
http://www.nytimes.com/1992/05/04/world/the-us-too-has-dumpe...
http://www.wsj.com/articles/SB100014240527023047731045792685...
https://en.wikipedia.org/wiki/Ocean_disposal_of_radioactive_...
http://www.cbrneportal.com/the-disposal-of-nuclear-waste-int...