Follow Up on Propagation Speed
As mentioned above, the seismograph presented by LDEO is consistent with an origin time of 8:46:29, as reported in NIST, if the propagation time from impact to the LDEO location takes about sixteen seconds. In this post we look a bit closer at this issue to verify that our hypothesis makes sense.
From the LDEO chart itself, the distance from impact point to detector is equal to 33.79 km (in the margins of the graph, and see below). For a period of sixteen seconds, this implies that the wave propagation speed must be about 2100 meters per second. Is this possible?
Previously, I remarked that the ordinary propagation speed of seismic waves is about 5 km/s, but that it varied. It actually varies quite a bit, partly on the rock composition, but also on the type of seismic wave. See here for a simplified but illuminating treatment.
The most obvious waves are the so-called "P-Waves," short for plane waves. These are essentially compression waves. Think of an arc moving through the Earth, and when this arc passes it compacts the ground briefly, just like the shockwave from a bomb. P-waves are also the fastest waves, but they are rarely the strongest.
Next up are the surface waves, or "S-waves." Think of these like waves on the ocean. As the wave passes, the surface of the Earth moves vertically. If you could see them from a great height, you would see ripples in the surface moving outward from the source. The important point, however, is that just like waves in deep water are slower than the speed of sound in water, S-waves are slower than P-waves. It's a different physical phenomenon.
There are two other types, and the wave we're looking at is one of these types, similar to S-waves but slightly different. What we have here is called a Love wave. A Love wave is like an S-wave except instead of the ground motion being vertical, it is horizontal. The wave is a side-to-side shaking that moves outward from the source. Love waves are slightly slower than S-waves, and usually at least twice as slow as a P-wave.
We know our wave is a Love wave for two reasons. First, the source of the wave is horizontal in nature, as the structure suffers an impact that causes it to sway, giving rise to a horizontal displacement at the surface. Second, the detector used by LDEO is east-west surface motion, and LDEO is almost directly north of the impact site. Therefore, the LDEO is reporting on Love waves.
There are other reasons why it makes sense to detect Love waves. These waves are often the most strongly felt, and the impact we're talking about was rather small by earthquake standards (about MR 1.0 or less). Also, Love waves suffer the least dispersion over distance, for reasons that are somewhat complicated*. Thus it makes sense that Love waves would be the dominant, if not only, wave detected from the impact.
It is apparently quite ordinary for Love waves to have a propagation speed of about 2 km/s. For this reason, it makes perfect sense for the sixteen second delay in the LDEO graphs to account for the wave's travel time.
I've annotated one of the LDEO traces below. Note that the arrival time at LDEO is comparable to the 9/11 Commission's incorrect impact estimate, but again, this appears to be merely a coincidence. Click on the image to enlarge.

As I stated above, it appears to me that the LDEO and NIST are fully consistent, and now we have further reason to trust LDEO's estimate of origin time. The 9/11 Commission origin time matches neither of these, and as previously noted, the error appears to be a sloppy curve-fit to the last seconds of primary radar data. Correcting for this curve-fit, we believe the radar data also plausibly agrees with the LDEO and NIST origin time estimate.
*: The reason Love waves disperse less than P-waves or S-waves is that they are almost totally confined to the surface. The group velocity of Love waves is strongly dependent on the modulus of elasticity and density of its medium, but also with depth -- thus it is much more dependent than the other types of wave. This dispersion relation forces the waves to travel along the surface, because it means the interface to lower material is poorly conducting and reflects those waves back to the top. This is the same principle that makes jet planes sound louder when there is a temperature inversion, or why submarines can hide from sonar beneath a thermocline, because the changing propagation speed funnels the waves horizontally rather than across the material gradient.
As mentioned above, the seismograph presented by LDEO is consistent with an origin time of 8:46:29, as reported in NIST, if the propagation time from impact to the LDEO location takes about sixteen seconds. In this post we look a bit closer at this issue to verify that our hypothesis makes sense.
From the LDEO chart itself, the distance from impact point to detector is equal to 33.79 km (in the margins of the graph, and see below). For a period of sixteen seconds, this implies that the wave propagation speed must be about 2100 meters per second. Is this possible?
Previously, I remarked that the ordinary propagation speed of seismic waves is about 5 km/s, but that it varied. It actually varies quite a bit, partly on the rock composition, but also on the type of seismic wave. See here for a simplified but illuminating treatment.
The most obvious waves are the so-called "P-Waves," short for plane waves. These are essentially compression waves. Think of an arc moving through the Earth, and when this arc passes it compacts the ground briefly, just like the shockwave from a bomb. P-waves are also the fastest waves, but they are rarely the strongest.
Next up are the surface waves, or "S-waves." Think of these like waves on the ocean. As the wave passes, the surface of the Earth moves vertically. If you could see them from a great height, you would see ripples in the surface moving outward from the source. The important point, however, is that just like waves in deep water are slower than the speed of sound in water, S-waves are slower than P-waves. It's a different physical phenomenon.
There are two other types, and the wave we're looking at is one of these types, similar to S-waves but slightly different. What we have here is called a Love wave. A Love wave is like an S-wave except instead of the ground motion being vertical, it is horizontal. The wave is a side-to-side shaking that moves outward from the source. Love waves are slightly slower than S-waves, and usually at least twice as slow as a P-wave.
We know our wave is a Love wave for two reasons. First, the source of the wave is horizontal in nature, as the structure suffers an impact that causes it to sway, giving rise to a horizontal displacement at the surface. Second, the detector used by LDEO is east-west surface motion, and LDEO is almost directly north of the impact site. Therefore, the LDEO is reporting on Love waves.
There are other reasons why it makes sense to detect Love waves. These waves are often the most strongly felt, and the impact we're talking about was rather small by earthquake standards (about MR 1.0 or less). Also, Love waves suffer the least dispersion over distance, for reasons that are somewhat complicated*. Thus it makes sense that Love waves would be the dominant, if not only, wave detected from the impact.
It is apparently quite ordinary for Love waves to have a propagation speed of about 2 km/s. For this reason, it makes perfect sense for the sixteen second delay in the LDEO graphs to account for the wave's travel time.
I've annotated one of the LDEO traces below. Note that the arrival time at LDEO is comparable to the 9/11 Commission's incorrect impact estimate, but again, this appears to be merely a coincidence. Click on the image to enlarge.

As I stated above, it appears to me that the LDEO and NIST are fully consistent, and now we have further reason to trust LDEO's estimate of origin time. The 9/11 Commission origin time matches neither of these, and as previously noted, the error appears to be a sloppy curve-fit to the last seconds of primary radar data. Correcting for this curve-fit, we believe the radar data also plausibly agrees with the LDEO and NIST origin time estimate.
*: The reason Love waves disperse less than P-waves or S-waves is that they are almost totally confined to the surface. The group velocity of Love waves is strongly dependent on the modulus of elasticity and density of its medium, but also with depth -- thus it is much more dependent than the other types of wave. This dispersion relation forces the waves to travel along the surface, because it means the interface to lower material is poorly conducting and reflects those waves back to the top. This is the same principle that makes jet planes sound louder when there is a temperature inversion, or why submarines can hide from sonar beneath a thermocline, because the changing propagation speed funnels the waves horizontally rather than across the material gradient.
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