Industry
Some have suggested modifying incoming and outgoing radiation budgets in the Arctic to mitigate the warming in the region.
Methane flaring (not industrial)
Apart from proposals to destroy atmospheric methane or capturing it, some have suggested it could be possible to prevent methane from reaching the atmosphere or flaring it.
Arctic methane capture and usage
Some have suggested that it might be possible to capture methane or methane hydrates and transform it into useful materials.
Atmospheric methane capture by zeolites
Zeolites are porous minerals that can capture methane (Jackson 2019).
Direct ocean capture
The majority of the inorganic carbon on Earth is stored in the oceans. There is a natural carbon exchange between the ocean and the land.