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From the Ruppel article:

Deep gas hydrates beneath capping, permafrost-bearing sediments are stable over warm periods that endure more than 10^3 yr (e.g., Lachenbruch et al. 1994), even under scenarios of doubling atmospheric CO2 (Majorowicz et al. 2008). Only gas hydrates at the top of the GHSZ, nominally at ~225 m depth for pure CH4 hydrate within permafrost, might be vulnerable to dissociation due to atmospheric warming over 10^3 yr.

Loren, the author is talking about the rate that sea floor sediments containing trapped gas hydrates warm, not the rate at which ocean (water) temperatures warm. These sediments, being fixed in place, can only warm by conduction of heat downward from the surface of the ocean floor, a diffusive process with long timescales. Typical thermal diffusivities of soil are in the range of 0.5 to 1 X 10^-6 m^2/s, as Ruppel states. The estimates for this warming seem reasonable to me.

Phil
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