Burying plant waste is not the answer. Plant waste is good fertilizer and should be kept out of landfills.
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Seriously thats peak compost right there. Yeah if you do noting with it it releases a bunch or methane and other bad stuff but we already have issues with soil degredation.
Biochar is a better idea.
If we'd use all the stuff we feed to animals and throw it (compacted) into the ocean, so it sinks to the ground, the probably of it working is pretty high, the only problem would be to make shure that its not damaging the eco system there.
Sinking it into the ocean would require waaay less energy than to burry it on land.
Making sure it doesn't decompose there is harder though.
Deep in the sea it should not decompose, otherwise there wouldn't be efforts to grow gigantic Alge farms and sink them to the bottom of the sea.
The algae farm thing is completely experimental, and not at all clear that it will work. Oceans contain a lot of scavengers, who would love to eat pretty much anything you release.
Thats why its important where its sunken and how deep it is.
And how it's contained, and that you monitor it, both of which are hard in the ocean.
You would probably have to send down a submarine from time to time, but from energy levels its probably still more efficient than burying it.