The Siberian permafrost is very thick, 700m - 1000m onshore, 300m - 600m offshore. The fastest meltrates of the offshore permafrost, due to warm water in contact with the surface of the ground is 1.4 m per year. It would take several centuries to melt through all of the permafrost.
How do you determine the maximum melt rate? If it gets warmer or wetter does the melt rate accelerates or is it capped?
The methane is distributed in pockets throughout the permafrost, so a little bit will be released each year.
A little bit relative to global methane or local methane? If the little bit is global, how significant is it local? how much regional warming high methane concentrations can create?
Most will be consumed by bacteria
Heat is the byproduct of that reaction. Increased methane cause increased temperatures. Bacterial metabolism cause increased temperatures. Increased temperatures cause methane release.
dissolved in water
And what happens then. The cycle surely doesn't end there.
or reduced by reaction with OH in the atmosphere.
Reduces to water vapor and CO2, both increase local surface level warming.
We've had a lot of discussion about the pingo-like structures in Siberia upthread. Review the discussions on previous pages. They contain less methane that is released by fossil fuel extraction operations, especially fracking, each year. Even if 7,000 went poof in the same year, there wouldn't be a very large spike in atmospheric methane concentrations.
I look at from the perspective that we have to close down 7,000 extraction operations just to break even with pingo induced warming. That ignores all non pingo possible methane sources. Once you add pingos and all sources, does it become significant in a global basis? How about on a hemispheric basis? Or maybe on an Arctic basis?
We should not find out if methane is a danger to a civilization or not. This happened before. Many times. It was disastrous then, over centuries, but the methane was also emitted over centuries. We have hands down surpassed in greenhouse gas release rate of the worst extinction events yet we are assuming the Earth's climate system will react at the pace of the old extinction events.