A couple of nitpicks, and then an answer:
First of all, tritium isn’t used as a “trigger”; the trigger is a small fission device (the “Primary” consisting of Pu-239 or U-235 (enriched)), which sets off a larger “boosted” (“Secondary”) fission device (the boost comes from additional neutron production), which then creates the pressure and thermal pulse to ignite a fusion reaction in the weapon core.
Second, nobody puts tritium in the core as the fuel for fusion. As has been noted, tritium has a short half-life (12.3 years). Instead, they use deuterium, or rather, lithium deutride (more chemically stable than pure hydrogen), which is radioactively stable. The “Secondary” boost reaction causes D-D fusion which generates (though a complicated process) tritium, which then leads to the more energetic D-T reaction. (The higher order reactions-D-He, He-He, and beyond–aren’t of issue because the detonation doesn’t last long enough for these to occur in significant quantities.)
As for how long the warheads are good, I don’t really know for sure. The weapon material itself is good for quite a while–although it will undergo some reaction due to the proximity of radioactive material, the neutron flux is still fairly low, and lower yet in modern multistage weapons with lower subcritical mass requirements. Reprocessing is done more to obtain material for new weapons than to refurbish old ones. I expect that the neutron flux probably creates some degree of hydrogen embrittlement in materials within the “physics package”, but I imagine that materials and construction have been selected to minimize this.
As for the OP, I suspect the result would be…surprisingly little, especially if detonated over an ocean. The nuclear winter hypothesis has been largely discredited, and as others have pointed out, a large seismic or medium sized meteological event has more energy than we could hope to create on our own. For the vast and horrible power of our destructiveness, we are but gnats compared to Mother Nature. A reasonable sized asteroid would do more damage than we could do on our best day.
But hey, we’re working on it. One of these days, we’ll have one of them Doomsday Machines of our own. “Gentlemen, we have a mineshaft gap!” :dubious:
Stranger