Of possible interest:

Antipodal focusing of seismic waves due to large meteorite impacts on Earth
Matthias A. Meschede, Conor L. Myhrvold, Jeroen Tromp
Geophysical Journal International
Volume 187, Issue 1, pages 529–537, October 2011
DOI: 10.1111/j.1365-246X.2011.05170.x

Summary:

We examine focusing of seismic waves at the antipode of large terrestrial 
meteorite impacts, using the Chicxulub impact as our case study. Numerical 
simulations are based on a spectral-element method, representing the impact as 
a Gaussian force in time and space. Simulating the impact as a point source at 
the surface of a spherically symmetric earth model results in deceptively large 
peak displacements at the antipode. Earth’s ellipticity, lateral heterogeneity 
and a spatially distributed source limit high-frequency waves from 
constructively interfering at the antipode, thereby reducing peak displacement 
by a factor of 4. Nevertheless, for plausible impact parameters, we observe 
peak antipodal displacements of ∼4 m, dynamic stresses in excess of 15 bar, and 
strains of 2 × 10−5 . Although these values are significantly lower than prior 
estimates, mainly based on a point source in a spherically symmetric earth 
model, wave interference en route to the antipode induces ‘channels’ of peak 
stress that are five times greater than in surrounding areas. Underneath the 
antipode, we observed ‘chimneys’ of peak stress, strain and velocity, with peak 
values exceeding 50 bar, 10−5 and 0.1 m s−1, respectively. Our results put 
quantitative constraints on the feasibility of impact-induced antipodal 
volcanism and seismicity, as well as mantle plume and hotspot formation.

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R&D Daily summary article:

Princeton model shows fallout of a giant meteorite strike
Seeking to better understand the level of death and destruction that would 
result from a large meteorite striking the Earth, Princeton University 
researchers have developed a new model that can not only more accurately 
simulate the seismic fallout of such an impact, but also help reveal new 
information about the surface and interior of planets based on past collisions. 

Princeton researchers created the first model to take into account Earth's 
elliptical shape, surface features and ocean depths in simulations of how 
seismic waves generated by a meteorite collision would spread across and within 
the planet. Current projections rely on models of a featureless spherical world 
with nothing to disrupt the meteorite's impact, the researchers report in 
Geophysical Journal International.

The researchers—based in the laboratory of Jeroen Tromp, the Blair Professor of 
Geology in Princeton's Department of Geosciences—simulated the meteorite strike 
that caused the Chicxulub crater in Mexico, an impact 2 million times more 
powerful than a hydrogen bomb that many scientists believe triggered the mass 
extinction of the dinosaurs 65 million years ago. The team's rendering of the 
planet showed that the impact's seismic waves would be scattered and unfocused, 
resulting in less severe ground displacement, tsunamis, and seismic and 
volcanic activity than previously theorized.

The Princeton simulations also could help researchers gain insight into the 
unseen surface and interior details of other planets and moons, the authors 
report. The simulations can pinpoint the strength of the meteorite's antipodal 
focus—the area of the globe opposite of the crater where the energy from the 
initial collision comes together like a second, smaller impact. The researchers 
found this point is determined by how the features and composition of the 
smitten orb direct and absorb the seismic waves. Scientists could identify the 
planet or moon's characteristics by comparing a crater to the remnants of the 
antipodal point and calculating how the impact waves spread.

Lead author Matthias Meschede of the University of Munich developed the model 
at Princeton through the University's Visiting Student Research Collaborators 
program with co-authors Conor Myhrvold, who earned his bachelor's degree from 
Princeton in 2011, and Tromp, who also is director of Princeton's Institute for 
Computational Science and Engineering and a professor of applied and 
computational mathematics. Meschede describes the findings as follows:

"We have developed the first model to account for how Earth's surface features 
and shape would influence the spread of seismic activity following a meteorite 
impact. For the Earth, these calculations are usually made using a smooth, 
perfect sphere model, but we found that the surface features of a planet or a 
moon have a huge effect on the aftershock a large meteorite will have, so it's 
extremely important to take those into account.

"After a meteorite impact, seismic waves travel outward across the Earth's 
surface like after a stone is thrown in water. These waves travel all the way 
around the globe and meet in a single point on the opposite side from the 
impact known as the antipode. Our model shows that because the Earth is 
elliptical and its surface is heterogeneous those waves travel with different 
speeds in different areas, changing where the waves end up on the other side of 
the world and the waves' amplitude when they get there. These waves also are 
influenced by the interior. The effect on the opposite side is a result of the 
complete structure.

"We began by asking whether the meteorite that hit the Earth near Chicxulub 
could be connected to other late-Cretaceous mass-extinction theories. For 
example, there's a prominent theory that the meteorite triggered huge volcanic 
eruptions that changed the climate. These eruptions are thought to have 
originated in the Deccan Traps in India, approximately on the opposite side of 
the Earth from the Chicxulub crater at the time. Because North America was 
closer to Europe and India was closer to Madagascar during the Cretaceous 
period, however, it seemed questionable that the Deccan Traps were at the 
Chicxulub impact's antipode.

"Regarding the mass extinction, we saw from our measurements that a 
Chicxulub-sized impact alone would be too small to cause such a large volcanic 
eruption as what occurred at the Deccan Traps. Our model shows that the 
antipodal focusing of the seismic wave from such an impact was hugely 
overestimated in previous calculations, which used a spherical-Earth model.

"The Earth's maximum ground displacement at this point has been calculated to 
be 15 m, which is extreme. The first outcome of our model was that this is 
reduced by a large amount to about three to five meters. On the spherical 
model, all the waves come together at exactly one point and, as a result, have 
a huge amplitude. We found the waves are disturbed by surface features and take 
on a more ragged structure, meaning less energy is concentrated at the antipode.

"But our results go beyond Chicxulub. We can, in principle, now estimate how 
large a meteorite would have to have been to cause catastrophic events. For 
instance, we found that if you increase the radius of the Chicxulub meteorite 
by a factor of five while leaving its velocity and density the same, it would 
have been large enough to at least fracture rocks on the opposite side of the 
planet. Our model can be used to estimate the magnitude and effect of other 
major impacts in Earth's past. A similar model could be used to study other 
examples of antipodal structures in the solar system, such as the strange 
region opposite the gigantic Caloris Basin crater on Mercury.

"Also, such a model can help examine the interior of a moon or planet by 
comparing the size of the crater to the amount of antipodal disruption—you only 
need two pictures, basically. One could correlate a certain impact magnitude 
with the observed antipodal effect—which is dependent on the object's surface 
features—and better understand the heterogeneity of the surface by how the 
energy was distributed between those two points. That can reveal information 
about not only the surface structure of the body at the time of the impact, but 
also the interior, such as if the planet has a hard core."

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If you do not have access to this journal, and if you are interested in a PDF 
copy of this article, please contact me off list.



David R. Vann, Ph.D.
Department of Earth and Environmental Science
THE UNIVERSITY of PENNSYLVANIA
240 S. 33rd St.
Philadelphia, PA 19104-6316
drv...@sas.upenn.edu
office: 215-898-4906
FAX: 215-898-0964

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