digitalgriffin
Splendid
Post #6: "No place on earth would be safe even in a limited war. ". Welcome to the debate.
Again: assuming a limited exchange, the reactor itself would still be operational. No need for backup power at all. If the reactor shuts down and the power grid as well, then diesel generators can provide backup power indefinitely. If they go, then battery power gives you a limited amount of time to restore some better alternative.
So let's assume worse than a "limited exchange:", but a disaster that takes out all these layers simultaneously: i.e. Fukushima. What happened there? The corium melted through the reactors pressure vessel and "ate through" (to use your technical term) a full meter into the concrete PCV. But that concrete is 7.6 meters thick ... meaning it only penetrated only about 13% of the way through. And that's simply the primary containment vessel. Secondary containment differs by reactor type and generation, but any modern plant will have it as well. Ergo: no problem.
Only if you define "disaster" as "I may have my 30-year cancer risk slightly elevated, if calculated using the unrealistically pessimistic and known-false linear-exposure cancer model". There are places on earth considerably more radioactive than Fukushima's Designated Evacuation Zone. Brazil's Guarapari beaches, for instance, have radiation levels nearly ten TIMES higher than the 20 mSv/yr at Fukuskima. But because it's "natural" radiation, those beaches are always carpeted with human bodies.
To this day, the corium is STILL eating through the concrete. All concrete when exposed to heat turns back into cement which is useless. The reactors in Chernobyl and Fukashima are still contaminating ground water. And the gamma radioactivity is so hot, that robots cannot approach them to clean them up. If containment wasn't an issue then there wouldn't be mass debate right now about dumping MILLIONS of gallons of radioactive water back into the ocean. You wouldn't need to freeze the surrounding ground with LN .
How long till these lands are usable again?
There's 72 hours of fuel for the generators. It takes a lot of fuel to keep them going.
You''re also assuming that heat exchangers will not be damaged in a blast. Again the control room and exchangers are outside the protected containment.
I'm not against nuclear power. I'm against old school PWR and BWR designs. Simply outdated, and dangerous if cooling fails.