In the US it is not, all such programs have been killed. High level waste is stored onsite in large pools of water to keep it cool while it decays. Low level waste (e.g. contaminated clothing, contaminated tools, contaminated medical items) are stored underground: in earth filled trenches dug on the surface.
ocean
In the US they're stored on site.
High Level Waste is waste that is considered dangerous or harmful and is of importance when disposing of carefully
Low and intermediate level waste from Koeberg is transported by road in steel and concrete containers to a remote disposal site at Vaalputs, 600km away in the Kalahari Desert. However high level waste (the spent fuel) is stored on site. The spent Uranium 235 rods are currently stored on high-density racks submerged in a reactor pool. The rods take 100 000 years to decay, and between 30 and 50 years to cool down to reach the boiling point of water
On the power station sites, in water filled tanks or sometimes after some years in dry stores
Radioactive waves
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In the U.S., radioactive waste is divided into three main types, classified according to their activity, their heat generation potential, and what they physically contain. These three main levels are low level waste (LLW), transuranic waste (TRU), and high level waste (HLW). For each of these types of waste, there is a specific disposal solution -- above ground storage or shallow burial for low level waste and deep repository storage for transuranic and high level wastes. In most other countries, nuclear waste is categorized as low level waste, intermediate level waste, and high level waste. The reason for this different classification system is that in the U.S. waste is classified based on where it comes from; in most other countries, waste is classified according to what the effects of the waste might be. In both classifications, low level waste represents about 90% of all radioactive waste
Radioactive waste will be managed through a combination of storage, treatment, and disposal methods. Low-level waste may be treated and then stored in licensed facilities, while high-level waste is typically cooled and stored in secure containers at nuclear plants before being transported to deep geological repositories for long-term disposal. Ongoing research is focused on improving waste management technologies and ensuring safety. Ultimately, the goal is to isolate radioactive materials from the environment for thousands of years until their radioactivity decreases to safe levels.
radioactive waste go somewhere probally in a labratory
High-level radioactive waste is highly radioactive and generates significant heat, typically resulting from nuclear reactor operations and spent nuclear fuel. It requires extensive shielding and long-term management, often stored in deep geological repositories. In contrast, low-level radioactive waste contains lower levels of radioactivity and can include items like contaminated clothing or tools. It generally requires less stringent handling and can often be disposed of in near-surface facilities.
At present, and in fact since commercial power started, in the US the spent fuel has been stored on the power station sites, in water filled storage ponds. In recent years these have had to be supplemented in some locations with dry cask storage. Since the waste has to be stored for centuries to come this cannot be seen as satisfactory, and some permanent repository will have to be provid ed.This would have to be underground in a very stable geologic area with no risk of flooding. However no federal government has been willing so far to force this issue through against local opinions.