Even if we go the frequency route, which is natural when dealing with waves, the medium is anisotropic it absorbs waves in certain directions in certain ways and in other directions in other ways. Will a regular bomb produce the same kind of waves as their detonation? Is that a reasonable claim to make? If not, ok, what did they need to do to quantify the medium's response at the desired intensity? That's the system ID problem in my mind. You don't want to estimate model parameters in one regime and then copy them over to the other. Then, if certain waves resonated with structures at khetolai, why does that mean the intensity was higher? It could just be resonance because that frequency passed through there?
Several good points:
1. Anisotropy of the medium is not a problem for the straight "S1-Khetolai response". It's like saying, the train from Dilli to Kolkotta travels at 180 kmph in UP, 60kmph in Bihar, and 30kmph in W.Bengal, but as long as the track conditions are the same at any given point every day, the total time taken is the same every trip. And if the thieves are the same, they are going to steal the same weight of mail etc every day. So anisotropy poses no error in estimating what yield would be safe for Khetolai.
2. Anisotropy of the material in the overall range means that simply putting a sensor at a given distance is NOT going to give a spy a good estimate of yield by "guessing" the medium properties. So only the guys who have access to the data from the 180 sensors or whatever and done the reconstruction can really say how the waves would have propagated. The others are bissing in the hawa, so to speak, with their "estimates". They are HOPING that there is no anisotropy.
But turning that around, the guys who did the 180-sensor scan WOULD know how to take the anisotropy into account. Like the little spot that shows up in the brain scan with the 20-degree-step tomography, the rocks etc would have showed up in the reconstruction. So then they would have built a modeling/ simulation taking all these into account. I cannot say if this was indeed done, but consider that they went to the trouble of simulating the Bene*** disaster, modeling the strata and faults in detail, to achieve a successful simulation. Why would they not put the same effort into modeling their home range? The whole point of that 2006 BARC paper was to say, "hey, guys, we have the tools, and obviously we used them successfully on our stuff long ago".
Note that the 2006 BARC paper was submitted in 2002 - a good measure of how desi research is obstructed and delayed by having to seek "acceptance" in the gora journals. Or it was a really poorly-run journal, like "Acta Astronautica" in the Space business. Any journal that takes longer to review and publish than it takes the average baby to be made, is a lousy journal. Taking the delays in Official Approval, getting drawings made, proof-reading, etc, etc, this means the work was finished in 2001 at the latest. It takes a while to do stuff like this, so they must have started circa 1999 or 1998. After they had finished their analysis of their own tests, and got permission to reveal enough about the technology used to those who needed to be deterred.
3. If not, ok, what did they need to do to quantify the medium's response at the desired intensity? That's the system ID problem in my mind.
If the medium's response was "linear" then the coefficients in the response function are independent of intensity. Was S1 in the linear range of response? I don't know enough about the Richter scale to decide this, but per Sanku here, magnitude 5.8/5.9 is still fairly small/ moderate shaking, so it may be fair to treat magnitude 5.2 as also small and hence in the linear regime.
Then, if certain waves resonated with structures at khetolai, why does that mean the intensity was higher? It could just be resonance because that frequency passed through there?
That's not quite the way to look at it. All the frequencies pass through everywhere, but the intensity at the different frequencies may be different - this is the Transfer Function magnitude, a function of frequency. So at certain places in Khetolai, perhaps the intensity at certain frequencies was higher than, say, at the Logistics Base. Or lower.
As the 'quake intensity increases in the "moderate" range, this function's form would not change much, but the amount of energy at each frequency would increase. So the resonant frequencies of certain structures may have been given enough energy to really shake down.
If the intensity went beyond the "linear" regime, then there would have been distortions of the whole wave form, meaning a redistribution of the energy between frequencies. Thus in this regime, it is possible for certain frequencies to have much more intensity, than what was predicted from the linear-regime tests. Hence the concern about the school falling down, forcing the Army to ask the school headmaster to see that the kids were outside during the relevant time.
Now we come to the real problem: There was really no way to simulate a "quake" as strong as what a TN device would generate using conventional explosives - this would go outside the "linear" regime, and so predictions of what would happen, would become a bit "iffy". The simulation nerds could provide some answers, because they could take soil samples and subject them in the lab to the required impact level, then put those values instead of the existing values from the "linear" model in their simulation and see what happens.
The Bene*** data set was again a way of going into this regime and predicting development of cracks, venting etc., all highly "nonlinear" events. So they did have some capabilities even in this regime. This all may have got into some uncertainty, hence the damage at Khetolai. But my point again, is that this could only have happened at the UPPER bound of their predicted yield, not at a low level.
Given that all the desi netas cited the concern about damage to the village at the time, it is pretty clear that they were real worried about that aspect - must have been a certain amount of uncertainty.
Thanks for the discussion! I learned a lot!