I recall reading some proposal for dumping nuclear waste in the Marianas Trench. The rational had something to do with tectonic shifting eventually pushing the waste into the Earth's mantle.
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The subduction zone off Vancouver, BC is also a place for this, and off Chile is even better.
The problem is the subduction zones are very slow -- on the order of 25 meters per 100 years, at most. The waste isn't particularly threatening past 10-20k years.
I still believe in reprocessing as the best solution.