Thanks for your thoughtful reply, Sed...
However, I think that much of your objections to Humphreys' article are missing the mark. To play the Devil's advocate, and since not a single YECer has deigned to take notice of this thread, I will jump to the other side of the fence and attempt to refute your points.
Yesterday @ 05:27 PM post located here
SedRocks:
First, even if everything in that article was true, they'd still have to account for the reported 1.5 billion year isotopic dates using standard radioisotopes.
This one is easy...
Accelerated decay has compressed 4.55 billion years of decay into only a few thousand years, at least for most radioactive isotopes. This generated 1.5 billion years worth of lead and helium in the rocks (which must, therefore, be significantly younger than the Earth). The lead, being relatively immobile, remains in the zircons at these temperatures, and gives consistent U/Pb ages of 1.5 billion years. The helium has leaked out to some extent, depending on temperature.
Secondly, no geochronologists use helium retention to tell the age of a rock (or a zircon crystal), because it is known to be subject to all kinds of problems. However, they do use it for "thermochronology" studies (to learn when and how much the rock was heated or cooled).
Humphreys is not claimnig the U/He "ages" are meaningful as actual chronological ages, but that the amount of He retention is controlled primarily by temperature. So modeling the diffusivity at various temperatures can be used to calculate the time required for helium to reach its observed values.
While lead is retained well in zircon, even up to remarkably high temperatures, helium is very small and non-reactive, so it leaks out of zircon crystals quite quickly, especially if the zircon is even slightly heated. When warm, the zircon expands slightly, and becomes very permeable (leaky) with respect to helium, although not so with respect to lead and uranium.
The rate of leakage is measureable, and is dependent on temperature, so the amount remaining is a function of the initial amount, the amount added since, time elapsed, and temperature.
Above the critical closure temperature, zircon is "open" (leaky), whereas below, it is "closed" (or sealed).
Humphreys wrote a detailed explanation of how leakage can still occur, even at temperatures below the closure temp. It's pretty close to accurate. Read section 10.
http://www.globalflood.org/papers/2003ICChelium.html
To be completely accurate, we should say that "closure temperature" is the temperature of the crystal at the time in the past given by its apparent age. At that time, helium is still leaking out quite rapidly, and continues to leak out as it falls lower. To say the diffusion stops when the closure temperature is reached is wrong.
However, zircons also become quite leaky merely by sitting around for a while since they cooled below their closure temperature, because the decay of uranium atoms blasts tiny holes in the zircon (literally, the explosive expulsion of helium ions from the uranium creates (surprise) holes just large enough for helium to escape through.
Humphreys does not address this process directly in his article. I think this is a major shortcoming of his effort. There are two effects that compound his error here:
1. As you mentioned, at lower temps, radiation damage can easily accumulate. The zircons which were measured for diffusivity were collected at 750 meters, shallower (and colder) than all the other zircons. This means their radiation damage should be annealed the least - thus leading to a higher measured diffusivity.
2. There is a strong trend of higher uranium content at shallower depths in the samples. The deepest zircons have far less U and Th than the shallow zircons which had their diffusivity measured. Again, more radiation damage, higher diffusivity for the shallow zircons.
Humphreys and his colleagues mention that the Jemez Granodiorite is about 1.5 billion years old. However, it sits next to volcanic intrusions that have pumped up the temperature considerably. The rise in temperature has allowed all the helium to escape from the deeper zircons, and they remain warm enough to be open, so that helium escapes pretty much at the same rate at which it is produced.
Humphreys' argument is that the deep zircons still contain more helium than they should, based on extrapolating the measured diffusion rates. The equilibrium amount (where the production equals the diffusive loss) at the diffusivity he measured in the shallow zircons would predict that the deep zircons should have thousands of times less helium than what they actually have.
The only real puzzle here is that the zircons at the surface reportedly contain 58% of the helium that should have been produced, if you assume that all the lead in the zircon decayed from uranium (inevitably producing a set amount of helium in the process). One would have expected the loss of much more than 42% of all the helium that the zircon presumably ever contained due to (a) leakage prior to the first closure after formation of the zircon, (b) radiation damage in the time since the first closure, (c) any reheating due to magmatic intrusions in the caldera, and (d) radiation damage since event "c".
Your model presented here - involving substantial heating of even the near-surface zircons - should leave no more than a few million years worth of helium. Instead we find nearly a billion years worth. So either your model is wrong, or the age of the Earth is only a few thousand years.
My guess (which is not very well informed, so I'll be happy to bow to superior knowledge here) is that after annealing (healing) of the now near-surface crystals in event "c", the crystals once again became open due to the accumulation of radiation damage, and since then have been taking in a lot of excess helium.
I think you are implying that the zircons absorb helium from other sources, not just internally generated from U and Th decay. Humphreys refutes this model by pointing out that the helium levels in the borehole are essentially zero. There is insufficient partial pressure of helium to force it into the zircons.
First, the last active phase of the Valles Caldera probably effectively emptied the near-surface zircons of any argon that they may have contained at that point.
Do you mean helium? Not "argon"?
If so, then the near surface zircons should contain very little helium - only a few hunderd thousand or a few million years worth. They have a thousand time more than that.
Second, there must be a lot of helium seeping up from the depths, due to the intrusions and the warmed and open zircons nearby.
There is no significant partial pressure of helium in the borehole, so your model must fail, unless you can show that the helium pressure must have been much higher in the past. I don't see how it could be.
I think the radiation damage is the best point of your post. It is another aspect of Humphreys' pattern of comparing apples to oranges in his measurement of helium diffusivity. The shallow zircons shoud have higher difusivity because they are more damaged, having higher levels of uranium and being colder, which prevents annealing of the damage.
Add that to my previous observation that the helium levels of the shallow zircons are thousands of times higher, then it becomes obvious why this graph (figure 8) SHOULD have a discrepancy of 100,00 times between the diffusion rates measured for one zircon compared to a completely different zircon found deeper in the same hole...
http://www.globalflood.org/graphics/...s/image069.jpg
The deeper zircons (point 5) have less helium, less uranium, and less radiation damage. That is why its diffusivity is 100,000 times less, as shown on the graph.
Can any YECreationist find fault with this analysis?
If not, then can any YECreationist deny that the helium diffusion argument is seriously flawed?