|
INTRODUCTION
In this study a series of
advanced Probabilistic Seismic
Hazard Analyses (PSHA) were carried out keeping into account site
amplification effects. In particular:
1) Seismic hazard maps were developed for the Arma di Taggia area
(i.e., “Small Area”), where specific investigation data were available.
2) Seismic hazard analyses were carried out at about 4000 different
locations throughout the Imperia area (i.e., “Large Area”). In this
case no specific soil investigation data were available and the study
was performed based on geological maps only.
This note outlines the adopted methodology and presents results
obtained during the study.
|

|
METHODOLOGY
The
adopted methodology couples conventional Probabilistic Seismic Hazard
Analysis (PSHA), whose seminal work was developed some 35 years ago
by Cornell, with non-linear dynamic analyses of the soil column
subject to real rock ground motions. For each soil column
configuration the uncertainty in the soil characteristics (and
statistical correlation among properties in different layers) can be
incorporated by randomization of the soil properties in each
analysis. The non-linear effects of the soil layers on the intensity
of the ground motion at the surface is captured by a site-specific,
frequency-dependent amplification function, AF(f), where f
is a generic oscillator frequency. AF(f), which varies with
the intensity of the bedrock motion, is defined as the ratio of the
spectral acceleration at the surface to the spectral acceleration at
the bedrock, both computed at the same frequency f. However,
since the purpose of the project was to provide hazard evaluations
over relatively large areas, with limited geological/geotechnical
information, we used response surfaces that yield the AF(f) of
a soil column at a given location (or of multiple soil columns that
are plausible for the site based on the available information) based
on a family of pre-computed AF(f) for a large number of soil
columns. The response surface is defined by a polynomial functional
form, and the only independent variable that is used in the response
surface as a predictor for AF(f) of a new soil column is the
elastic fundamental frequency of vibration. The latter is related to
the soil behavior at very small strain levels and reflects the
initial state of the soil. It is correlated with the shear wave
velocity of the soil, a parameter widely used to distinguish among
different soil types (e.g., NEHRP soil classification), and in many
cases it can be obtained from relatively inexpensive measurements of
microtremors. Soils behaving similarly at low strain levels but
differently at large strain levels, including those with different
susceptibility to cyclic mobility effects, can be represented by
soil-type-specific response surfaces. In this study the analyses
over the investigated area were carried out adopting response
surfaces, whereas detailed non-linear finite element analyses were
carried out, for comparison purposes, at a few locations where
specific geotechnical investigations were available. The methodology
allows to keep into account both seismic and geotechnical epistemic
uncertainties via a logic-tree approach.
RESULTS
PSHA in Rock
Seismic
hazard analyses were carried out at
about 4000 different locations throughout the Imperia area (i.e.,
“Large Area”), and included also the Arma di Taggia Area (i.e.,
“Small Area”). They were carried out keeping into account the
epistemic uncertainty by a logic-tree approach. In particular:
- Variable parameters were considered for
the Gutenberg-Richter recurrence law.
- Two different sets of seismotectonic
provinces were adopted.
- Two different attenuation laws were used.
All results
were obtained for a return period
of 475 years. Both epistemic and non-epistemic analyses were carried
out in the Small Area. Typical response spectra at the rock surface,
defined for different confidence levels (i.e., 15, 50, 84 and 95%),
are shown in Figures 2 and 3. At locations where the rock units
underlie a soil deposit the response spectra at the ground surface
were obtained keeping into account local amplification effects (see
the following sections).
Small Area: Arma di Taggia
Results
obtained at one location
of the Arma di Taggia area (i.e., “Small Area”) are shown in
Figure 2. In this case the elastic fundamental frequency of the soil
deposit, required as input for selecting the appropriate
amplification parameters, was provided by measurements of
microtremors (measurements locations shown in Figure 1). This
procedure was found to provide reliable results based on comparisons,
at two different locations, with Vs values obtained
from seismic downhole records and with bedrock depths estimated from
available geophysical information. The response spectra shown in
Figure 2 were defined for different confidence levels (i.e., 15, 50,
84 and 95%). In this case the epistemic uncertainty is related only
to the seismic input parameters (see previous section), whereas no
epistemic uncertainty was considered for the soil deposit (i.e., a
single soil stratigraphy was adopted based on the available
information). A map depicting PGA values at the ground surface over
the entire area were also developed. Similar maps can be obtained
also for any other relevant parameters (e.g., spectral accelerations
at given frequencies).
Large Area: Imperia
Results obtained at one
location
of the Imperia area (i.e., “Large Area”) are shown in Figure 3.
Since no specific information on local soil stratigraphy was
available, in this case the elastic fundamental frequencies of the
soil deposit were estimated using the available geological maps. In
this particular case, related to a recent marine deposit, we selected
response surfaces applicable to saturated sands, loose to medium
dense, with variable depth of the bedrock, and estimated two
alternative fundamental frequencies. The epistemic uncertainty
related to the seismic input parameters is also considered, similarly
to what done for the small area (i.e., Arma di Taggia). This
procedure allows a quantification of the uncertainty level which
could be reduced if additional investigations were carried out. The
response spectra shown in Figure 3 were defined for different
confidence levels (i.e., 15, 50, 84 and 95%).
|
|
Published
papers
related to the projects:
Pelli F., Mangini M.,
Bazzurro P., Eva C., Spallarossa
D.,
Barani S. (2004), "Site Amplification Effects for
Probabilistic Seismic Hazard Mapping in North-West Italy", XXIX
General Assembly of the European Seismological Commission, 12-17 Sept.,
Potsdam, Germany.
Eva
C.,
Spallarossa D.,
Barani S., Pelli F., Mangini M., Bazzurro P. (2004),
"Probabilistic
Seismic Hazard Analysis Using a Logic Tree Approach: an Application to
Western Liguria (North-Western Italy)", XXIX
General Assembly of the European Seismological Commission, 12-17 Sept.,
Potsdam, Germany.
|
For more
information on Geodeco's research and development activities please
contact Mauro Mangini,
M.S.
|
|
|
|
|

|