Archaeoseismology and Palaeoseismology in the Alpine ... - Tierra
Archaeoseismology and Palaeoseismology in the Alpine ... - Tierra
Archaeoseismology and Palaeoseismology in the Alpine ... - Tierra
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properties. The mean value of specific mass ( of <strong>the</strong><br />
chimneys is 2309.66 Kg/m 3 . The Young’s modulus (E)<br />
average is about 23.5 GPa obta<strong>in</strong>ed on basis of S <strong>and</strong> P<br />
waves velocities. The variation around <strong>the</strong>se values is 4.6<br />
GPa. The resistance <strong>in</strong> simple compression is between 29<br />
<strong>and</strong> 88 MPa, while <strong>the</strong> tensile resistance evaluated by<br />
static bend<strong>in</strong>g tests on three samples is rang<strong>in</strong>g between<br />
3 <strong>and</strong> 6.1 MPa. The mean value <strong>and</strong> <strong>the</strong> st<strong>and</strong>ard<br />
deviation of <strong>the</strong>se failure stresses are 4.6 <strong>and</strong> 1.55 MPa,<br />
respectively, with a m<strong>in</strong>imum value of 3 MPa.<br />
HOW BIG WAS THIS EARTHQUAKE?<br />
The chimneys are located preferentially on top of<br />
topographic relieves <strong>and</strong> are founded on a thick layer of<br />
very soft mud. Both conditions are particularly prone to<br />
ground motion amplification. Topographic amplification<br />
effects are well known to happen on top of ridges <strong>and</strong> on<br />
steep slopes, which are <strong>the</strong> conditions for most of <strong>the</strong><br />
chimneys’ fields. Many build<strong>in</strong>g seismic codes account for<br />
<strong>the</strong> topographic effect; for <strong>in</strong>stance, Eurocode‐8 evaluates<br />
this effect as a factor of 1.2 to 1.4. In addition,<br />
amplification due to soft soil conditions is also a very well<br />
known effect. Clay or silt thick deposits with high water<br />
content are particularly significant for this effect <strong>and</strong>, <strong>in</strong><br />
fact, <strong>the</strong>se are <strong>the</strong> soil conditions of <strong>the</strong> chimneys’ fields.<br />
Mean shear velocity for <strong>the</strong> first 30 m (Vs 30) is used <strong>in</strong><br />
seismic codes to evaluate <strong>the</strong> soil amplification factor. In<br />
our case, we estimate a Vs30 of 140 m/s from mean P‐<br />
wave velocity (Vp) measured <strong>in</strong> a 25 m depth well drilled<br />
<strong>in</strong> <strong>the</strong> vic<strong>in</strong>ity of <strong>the</strong> chimneys’ fields <strong>and</strong> us<strong>in</strong>g <strong>the</strong><br />
correlation of Castagna et al. (1985). For this k<strong>in</strong>d of soils<br />
with such a low Vs30, seismic code provisions account for<br />
<strong>the</strong> highest amplification factors, which are of <strong>the</strong> order<br />
of 2.0 to 2.5 (e.g. Eurocode‐8, NEHRP). Fur<strong>the</strong>rmore,<br />
consider<strong>in</strong>g that <strong>the</strong> maximum thickness of <strong>the</strong> soft layer<br />
varies between 70 <strong>and</strong> 110 m, its natural resonance<br />
period can be estimated <strong>in</strong> between 2 <strong>and</strong> 3 seconds,<br />
approximately (cf. Kramer, 1996).<br />
The chimneys can be regarded as very rigid objects. They<br />
are <strong>in</strong> general much shorter than 2 meters <strong>and</strong> narrower<br />
than 20 cm. The most frequent Height/Diameter ratio<br />
(H/D) is 4 <strong>and</strong> <strong>the</strong> modal chimney can be regarded as 30<br />
cm tall <strong>and</strong> 8 cm wide. Assum<strong>in</strong>g <strong>the</strong>m as cantilever<br />
beams <strong>the</strong>ir natural period of vibration can be estimated<br />
as low as 0.003 to 0.050 seconds (Cador<strong>in</strong> et al., 2000).<br />
Such a low vibration period means that <strong>the</strong> chimneys<br />
were particularly sensitive to <strong>the</strong> higher frequencies of<br />
<strong>the</strong> seismic ground motion. For this range of frequencies a<br />
very convenient parameter to evaluate <strong>the</strong> amplitude of<br />
strong ground motion is <strong>the</strong> horizontal peak ground<br />
acceleration (PGA) (i.e, <strong>the</strong> largest horizontal acceleration<br />
value recorded by an accelerometer). Hence, compar<strong>in</strong>g<br />
<strong>the</strong> m<strong>in</strong>imum acceleration needed to break down <strong>the</strong><br />
chimneys to PGA drawn from ground motion prediction<br />
equations (GMPEs) can be used as a first order<br />
approximation to <strong>the</strong> most likely seismic scenario (i.e. an<br />
earthquake def<strong>in</strong>ed by a certa<strong>in</strong> magnitude <strong>and</strong> distance).<br />
The m<strong>in</strong>imum acceleration needed to break <strong>the</strong> chimneys<br />
has been calculated simplify<strong>in</strong>g <strong>the</strong> seismic ground<br />
motion as a harmonic wave. Although this is a<br />
simplification, it is very convenient to represent <strong>the</strong><br />
moment when PGA was reached dur<strong>in</strong>g <strong>the</strong> shak<strong>in</strong>g. The<br />
acceleration values obta<strong>in</strong>ed exhibit a wide dispersion<br />
1 st INQUA‐IGCP‐567 International Workshop on Earthquake Archaeology <strong>and</strong> <strong>Palaeoseismology</strong><br />
85<br />
(0.21‐0.69 g), depend<strong>in</strong>g strongly on H/D parameter.<br />
Consider<strong>in</strong>g H/D ratios of 4, which represent <strong>the</strong> modal<br />
chimney, m<strong>in</strong>imum break<strong>in</strong>g acceleration values range<br />
from 0.43 to 0.51 g. We shall focus on <strong>the</strong> upper limit of<br />
this range to compare with PGA drawn from GMPEs.<br />
WHERE WAS THE EARTHQUAKE GENERATED?: LOCATION<br />
THE CAUSATIVE FAULT<br />
Even though <strong>the</strong>re are many ground motion prediction<br />
equations (GMPE) derived from <strong>the</strong> most important<br />
seismic regions of <strong>the</strong> world (cf. Douglas, 2003), <strong>the</strong>re is<br />
no one specifically performed for <strong>the</strong> south Iberian<br />
Atlantic marg<strong>in</strong>. We have <strong>the</strong>n selected a few from <strong>the</strong><br />
specialized literature (Boore et al.,1997; Ambraseys <strong>and</strong><br />
Douglas, 2003; <strong>and</strong> Ambraseys et al., 2005), which share<br />
<strong>the</strong> follow<strong>in</strong>g characteristics: <strong>the</strong>y are derive from<br />
extensive databases that comprise large regions of <strong>the</strong><br />
world; measure <strong>the</strong> same horizontal component of<br />
acceleration; account for shallow crustal earthquakes<br />
(h300 km).<br />
As <strong>in</strong> <strong>the</strong> 1985 Mexico City earthquake, <strong>the</strong> predom<strong>in</strong>ant<br />
vibration period of such an earthquake would be closer to<br />
<strong>the</strong> natural period of <strong>the</strong> soft layer where <strong>the</strong> chimneys<br />
are founded, so facilitat<strong>in</strong>g <strong>the</strong> occurrence of a resonance<br />
effect.