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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.

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