The primary solution for permanent disposal of high-level radioactive waste is deep geological disposal. This method involves placing waste containers several hundred meters underground within stable rock formations. Common geological host rocks include salt domes, crystalline granite, and thick clay layers. Each type offers unique advantages; for instance, clay provides low permeability and high swelling capacity to seal fractures, while salt formations can creep to self-seal voids over time.
Technically, a multi-barrier system is employed to ensure safety. This includes the waste form itself, such as vitrified glass, robust metal canisters, engineered clay buffers like bentonite, and the natural geological barrier. These layers work together to retard the movement of radionuclides in the event of a container failure.
Regarding safety over millennia, geological repositories are designed based on complex mathematical modeling and empirical data from natural analogues. Scientists study how natural uranium deposits have remained stable for millions of years to predict long-term behavior. While no human-made structure can be guaranteed to last forever, the combination of deep burial and stable geology is considered the most reliable method to isolate waste from the biosphere for the required timeframes.