The phrase "to bury that carbon" means to prevent carbon dioxide from being released into the atmosphere and instead store it underground or in some other way so that it doesn't contribute to climate change. Full definition
They have buried carbon dioxide in the rocks and watched it turn to stone. (globalpossibilities.org)
One approach that he has been investigating would bury carbon under the sea. (sciencenewsforstudents.org)
Around this same time, the environmental effects of releasing long - buried carbon into the atmosphere as a result of burning gasoline became a significant issue as well. (autobytel.com)