Earthquake Resistant Engineering Structures IX
47
Earthquake engineering needs and seismic
hazard assessment
J.-U. Klügel & L. Mualchin
International Seismic Safety Organization (ISSO), Italy
Abstract
We present a detailed discussion on the needs of hazard assessment for different
applications of earthquake engineering and risk assessment. This discussion
includes design and risk assessment issues. We define the requested information
from seismic hazard analysis as an input to a meaningful and economical
engineering analysis. This provides the basis for a detailed review of the main
methods of contemporary seismic hazard analysis: (1) traditional Probabilistic
Seismic Hazard Analysis (PSHA) as used in building codes of many countries,
(2) scenario-based seismic hazard analysis or neo-deterministic seismic hazard
analysis (NDSHA) as the principal alternative, and (3) the state of the art
physics-based deterministic method.
We demonstrate that only the physics- and scenario-based seismic hazard
analysis method that combines (a) contemporary seismic waveform modelling,
(b) an in-depth geological and seismo-tectonic analysis of the region of interest,
and (c) empirical information is able to provide the complete set of input
information for economical earthquake engineering analysis that allows to
combine improved seismic performance of both the structures and components
with reasonable design costs. We show that the scenario-based seismic hazard
method can easily be adapted/extended for risk assessment as required in
assurance applications by developing state of the art probabilistic data models
that are in compliance with observational data assembled in earthquake
catalogues.
The paper includes a practical example of the scenario-based approach for the
development of the design basis of a critical infrastructure and the risk
assessment for a seismically induced production loss of a nuclear power plant
located in Switzerland.
We recommend that DSHA and NDSHA must be used for engineering
design. When/if PSHA is required based on national regulations, it is highly
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48 Earthquake Resistant Engineering Structures IX
recommended to compare the results/output of PSHA results with that of
physics- and scenario-based analysis or NDSHA maps.
Keywords: seismic hazard analysis, seismic design, seismic risk analysis,
earthquake engineering.
1
Introduction
The discussion among seismologists about the “pros” and “cons” of
deterministic and probabilistic seismic hazard analysis has a long history and
caused many sharp controversies in the past. While the seismic design of critical
infrastructures such as nuclear power plants and dams was and to a large extent
is still based on deterministic design procedures, the probabilistic method that
was formulated as a risk-based approach [1] has been gradually introduced over
the years for national building codes of many countries. Risk-based approach
also found a wide range of applications in the insurance industry [2] to support
the calculation of risk insurances premiums exposed to seismic hazard. Both
applications are mostly based on the use of probabilistic seismic hazard maps
which portray a spatial distribution of peak ground acceleration (pga) for a
specific probability of exceedance appropriate for the intended purpose.
Applying a Poissonian assumption for earthquake recurrence [1], this probability
of exceedance is usually converted into a return period. The latter is frequently
incorrectly interpreted as a temporal characteristic of the recurrence of
earthquake ground motion accelerations although there is no basis for this
interpretation and the above assumption [3].
Following the completion of a number of comprehensive probabilistic seismic
hazard studies in the USA [4] has leaded to (a) the development of the SSHAC
procedures [5], (b) an extended use of probabilistic risk assessment by the US
NRC [6], and (c) incorporating risk-based methods into design procedures of
critical infrastructures. The first risk-based design approach was related to the
licensing of the US nuclear power plant Diablo Canyon located close to the
Hosgri fault in Central California coast, and not far from the San Andreas fault.
The application of the SSHAC procedures outside the USA was facing practical
problems both for risk applications as well as for the evaluation of the design of
existing nuclear power plants [7, 8].
The damaging large earthquakes of Sichuan, China (May 12, 2008),
L’Aquila, Italy (April 6, 2009), Haiti (January 12, 2010) as well as the Tohoku
earthquake in Japan (March 11, 2011) have provided very valuable experiences
and lessons for any responsible seismologist or earthquake engineer for a
thorough review of the currently adopted methods for seismic design. Observed
data from these events have amply demonstrated that published probabilistic
seismic hazard maps underestimate the seismic risk for the affected areas [9] and
for other seismically active regions as well. It was demonstrated that
sophisticated site-specific probabilistic risk analyses based on the logic-tree
method applied to the Tohoku earthquake source may support incorrect
conclusions to specify (an underestimated) seismic load for the design of critical
infrastructures [10]. It follows that such errors will result in improper design of
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Earthquake Resistant Engineering Structures IX
49
structures, both for residential areas and critical infrastructures; and certainly
have contributed to huge losses of human life and a spectacular catastrophe of
the Fukushima nuclear reactors.
The damaging large earthquakes of Sichuan, China (May 12, 2008),
L’Aquila, Italy (April 6, 2009), Haiti (January 12, 2010) as well as the Tohoku
earthquake in Japan (March 11, 2011) have provided very valuable experiences
and lessons for any responsible seismologist or earthquake engineer for a
thorough review of the currently adopted methods for seismic design. Observed
data from these events have amply demonstrated that published probabilistic
seismic hazard maps underestimate the seismic risk for the affected areas [9] and
for other seismically active regions as well. It was demonstrated that
sophisticated site-specific probabilistic risk analyses based on the logic-tree
method applied to the Tohoku earthquake source may support incorrect
conclusions to specify (an underestimated) seismic load for the design of critical
infrastructures [10]. It follows that such errors will result in improper design of
structures, both for residential areas and critical infrastructures; and certainly
have contributed to huge losses of human life and a spectacular catastrophe of
the Fukushima nuclear reactors
Therefore, it is necessary and worthy to evaluate the strengths and
vulnerabilities of seismic hazard analysis methods based on more objective
criteria which are based on the intended practical engineering applications. Such
evaluation has also to examine critically any major substantial improvements in
the methodology of physics- and scenario-based seismic hazard and risk
analysis. These methods are based on incorporating advanced and realistic
seismic waveform modelling. Frequently they are summarized under the name of
neo-deterministic seismic hazard analysis method (NDSHA) [11] or in case of
site evaluations for critical infrastructures as scenario-based method [12]. They
provide a meaningful alternative or complementary method to the currently used
seismic design procedures.
In section 2, we analyse the needs of seismic hazard analysis, expectations of
the output for different engineering applications, and perform an evaluation of
the capability of different methods in meeting the requirements.
In section 3, we outline the procedure for the development of seismic design
basis for a critical infrastructure based on the neo-deterministic method,
including an approach for risk analysis.
In section 4, we provide an example analysis for the proposed site of a new
nuclear power plant in Switzerland (generic study).
Section 5 is dedicated to conclusions.
2 Needs and expectations of seismic hazard analysis for
engineering and risk management applications
Klügel provided in [2] a comprehensive overview on the areas of application of
seismic hazard analysis. Summarizing this discussion of different areas of
applications results in the following classification:
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1. Design applications to develop earthquake-resistant infrastructures
a. Earthquake-resistant design of dwellings (residential area) and
lifelines
b. Earthquake-resistant design of critical infrastructures like
i. Nuclear power plants and research reactors
ii. Radioactive waste repositories
iii. Chemical plants
iv. Bridges
v. Military plants
vi. Liquefied gas pipelines and pressurized gas storage
tanks and
vii. Dams.
2. Risk assessment and risk management applications
a. Financial risk analysis for estimating capital and life losses
caused by earthquakes (risk insurance problem, production loss
risk)
b. Technical risk analysis evaluating the risk associated with the
operation of a critical infrastructure with respect to a critical
infrastructure and to possible environmental impact.
The goals of engineering analysis supporting these different applications are
very different. Consequently, methods to be used for the analysis also shall be
different. For example, for a lifeline that has to operate without repair during or
after an earthquake (e.g., a pump with the associated support system); or a
hospital building that shall be available after a strong earthquake, it is frequently
sufficient to perform a linear-elastic structural analysis. The reason is that
significant non-linear deformations associated with the onset of damage are not
permitted. Essentially, this means that the behaviour of such lifeline structures
during an earthquake has to remain within it linear-elastic design limits. A
completely different picture may arise for residential dwellings. Here some
limited damage and therefore a nonlinear response with residual nonlinear
deformations of structural and non-structural elements may be acceptable as long
as it is possible to evacuate people out of their homes. For insurance risk
evaluations, it may be of interest to assess the grade of damage to assess the
potential financial consequences due to repair costs. Similarly, for storage
facilities (e.g., tanks), or piping systems, it may be sufficient to demonstrate that
the integrity of system boundaries are maintained, therefore a non-linear
response during an earthquake and limited residual deformations or even partial
failures of supporting structures may be acceptable. Of course, in all cases the
decision maker may also request a full scale linear elastic behaviour of the
structure during an earthquake. The problem is that such an approach is not costeffective and therefore the resulting design may not be economical.
Therefore, in current engineering practice different goals of engineering
analysis for complex infrastructures are formulated in terms of required
performance levels for the different systems, structures and components
depending on their technological functions. The required performance levels may
reach from linear-elastic design limits till the acceptance of significant nonlinear
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response with residual deformations, as long as this behaviour is commensurate
to the function of the system or component.
From this discussion, it can be concluded that the most challenging case with
respect to engineering analysis is to perform a comprehensive nonlinear analysis
leading to realistic results (of the structural analysis).
This is a significant change in comparison to the time when both traditional
deterministic [4] and traditional seismic risk assessment methods [1] were
developed. At that time methods of structural analysis were limited to linearelastic methods with some minor extensions to the analysis of the most simple
non-linear vibration systems (limited models with just a few degrees of
freedom). Therefore, it was sufficient for any type of seismic hazard analysis to
provide just the information requested for a linear-elastic structural analysis. This
information was typically provided in the format of design earthquake response
spectra developed from linear-elastic structural response analysis. To cope with
the manifold different types of earthquakes leading to different responses of
structures both the deterministic as well as the probabilistic method attempted to
develop design spectra in the format of broad-band spectra. In case of the
probabilistic method these spectra took the format of a uniform seismic hazard
spectrum. Corrections to these spectra with respect to tolerable nonlinear
deviations were introduced by engineers developing structural response factors
using for example different types of ductility definitions. The incorporation of
structural response factors allowed reducing design loads in comparison to a full
linear-elastic response in accordance to the design ductility and the structural
redundancy considered by the designer. The basic analysis methods remained to
be linear-elastic.
In the changed situation today, it required that a seismic hazard analysis
provides significantly more information to the earthquake engineer and risk
analyst. This can easily be demonstrated by remembering elementary physics. To
cause damage to a structure or component (residual nonlinear deformations) it is
necessary that an earthquake causes destructive work. For performing work
according to energy conservation principles only the following energy sources
are available:
The seismic input energy of the earthquake imparted to a structure.
The potential energy of the structure (and subsequently, the
potential energy of components fixed to structural floors).
The part of the seismic input energy of the earthquake, that can be imparted to
a structure and can be converted into structural vibration, depends both on
characteristics of the earthquake (defined in seismic hazard analysis) as well as
on characteristics of the structure.
The relevant earthquake characteristics are:
the amplitude of ground excitations,
the spectral shape of ground excitations , and
the duration of shaking.
These characteristics can be defined (within some epistemic uncertainty
bounds due to limited knowledge and some aleatory variability due to
simplifications of the models used in comparison to real world systems [13] with
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52 Earthquake Resistant Engineering Structures IX
the help of models using information like magnitude of the earthquake; distance
between earthquake location (asperity) and site; faulting style; internal
earthquake source characteristics; direction of seismic wave radiation with
respect to fault rupture propagation; attenuation characteristics of the wave path;
site characteristics; etc as input parameters.
The key structural characteristics limiting the seismic input energy to a
structure are:
the natural frequencies for different vibration modes (the lower
frequencies being the most important),
mass and material distribution of the structure, and
material and structural damping characteristics.
For mobilizing the potential energy of a structure to perform destructive
work, it is necessary to convert the potential energy into kinetic energy. For this
transformation, a minimal amount of seismic input energy of the arriving waves
at a site is necessary. It is understandable that this minimal level is specific for
the individual structure.
Therefore, for correctly characterizing the non-linear response of a structure
(component) during an earthquake, very detailed information has to be provided
by seismic hazard analysis. The minimal information is:
ground motion duration, and
the temporal-spatial distribution of ground motion excitations at the
site.
It is understandable that due to the complexity of the task to define these
characteristics, some simplifications have to be made in practice. Nevertheless, it
should be clear that the only way to respond to the requirements of modern
engineering applications consists in improved modelling of multi-dimensional
seismic wave propagation in whatever analysis context (neo-deterministic or
probabilistic) these models may have to be applied.
The extensive use of seismic waveform modelling in different scales is the
key characteristic of the neo-deterministic or scenario-based method. Traditional
PSHA, on the contrary, is based on the use of empirical ground motion
characteristics based on data collected from different seismo-tectonic regions
that are not validated for the sources or even just for the region where they are
applied. The highest level of “ignorance” of the true earthquake engineering
applications was reached by the development of the SSHAC-procedures [5].
These procedures require/expect the involved experts that (their) hazard
estimates do reflect the centre, body, and range of uncertainty of knowledge that
would have been expressed/acknowledged by the technical informed community
willing to accept the SSHAC procedures. In practice, this leads to the situation
that empirical ground motion prediction models from other regions are imported
to regions even where sound regional models are available, and so the models
are completely unacceptable (e. g., models developed for crustal earthquakes are
applied in subduction areas [14]). Instead of focussing on the development of
reliable regional models, a complex weighting procedure based on logic trees is
applied as its rule “I don’t know what the correct model is but by mixing them
somehow I may get a better guess “. The gaps left by the traditional PSHA
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Seismic Hazard
Analysis Method
Fulfilment of engineering and risk analysis needs by different seismic hazard analysis methods.
Hazard Output
Information
Additional Compensating
Engineering Methods
Deterministic Seismic
Hazard Analysis
Site Intensity
Assignment of engineering
parameters to site intensity;
synthetic time-histories for
dynamic analysis derived from
response spectra
Deterministic Seismic
Hazard Analysis
Site specific design
response spectrum for
maximum credible
earthquakes – either for
far field and near field
earthquakes separately or
in form of a broad-band
spectrum
Hazard Curve in terms of
site intensity
Synthetic time-histories for
dynamic analysis
PSHA [1]
Assignment of engineering
parameters to site intensity;
synthetic time-histories for
dynamic analysis derived from
response spectra
Known Strengths and
Vulnerabilities
Macroseismic intensity is a
very good hazard estimator;
Assignment of engineering
parameters is associated with
significant uncertainties;
Uncertainty can be reduced
using waveform modelling
techniques
Based on the use of empirical
ground motion prediction
equations; in case of lack of
regional data imported
information is frequently used,
inherent conservatism due to
the focus on rare strong events
Level of Fulfilment
of Engineering and
Risk Analysis Needs
Medium, not
applicable for risk
analysis
Medium to high
(conservative design),
not applicable for risk
analysis
The design hazard level in
Low-to medium,
terms of probability of
applicable for risk
exceedance has to be defined
analysis
by the decision maker,
optimistic results in high active
seismic regions, weak link to
engineering geology of the
region, lack of data problem
Earthquake Resistant Engineering Structures IX
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Table 1:
53
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Seismic Hazard
Analysis Method
Hazard Output
Information
Continued.
Additional Compensating
Engineering Methods
Known Strengths and
Vulnerabilities
Level of Fulfilment
of Engineering and
Risk Analysis Needs
PSHA [5]
Hazard Curves in terms
Hazard deaggregation to
Large complexity, artificial and Low (for design), low
of spectral accelerations, understand hazard background
physically unsound separation for risk analysis (due
Uniform Hazard Spectra without link to geology;
to inappropriate
of seismic wave propagation
for different probabilities synthetic/artificial time-histories into source, path and site
uncertainty
of exceedance
from response spectra
effects, insufficient treatment
propagation models)
of physical dependencies in
probabilistic models, weak link
to geology, large uncertainties
of the output, optimistic results
for high seismic areas (can be
proven by converting results to
site intensities)
Neo-deterministic
Information can be used
Hazard background in
Strong link to the geological
High, not applicable
(scenario-based) seismic physically traceable
directly, some simplification
and seismo-tectonic specifics
for risk analysis
hazard analysis (NDSA) scenarios, assessment of based on conservative
of the region, traceable hazard
the temporal-spatial
assumptions may be needed to sources large computational
distribution of ground
reduce the computational effort effort for multidimensional
excitations is possible
analysis
Probabilistic scenarioInformation as from the
Information can be used
Strong link to the geological
High (design) – best
based seismic hazard
neodeterministic method, directly, some simplification
and seismo-tectonic specifics
available method for
analysis (extension of
frequency of occurrence based on conservative
of the region, traceable hazard risk analysis
NDSA)
for critical scenarios [12] assumptions may be needed to sources large computational
reduce the computational effort effort for multidimensional
analysis, lack of data for rare
events as for PSHA
54 Earthquake Resistant Engineering Structures IX
Table 1:
Earthquake Resistant Engineering Structures IX
55
method have to be filled up by earthquake engineers with what appears to sound
as reasonable but unfortunately not related to correct assumptions for quantifying
seismic hazard (e.g., “high acceleration – that means high magnitude
earthquake = long strong motion duration”) [15, 16] .
Seismic waveform modelling can also be applied in a probabilistic context
(outside the standard PSHA model in [1, 5]). Such new methods are in
discussion or under development [17] which needs broader support for practical
applications.
Table 1 summarizes the assessment of the capability of seismic hazard
analysis methods with regard to meeting earthquake engineering and risk
analysis applications. The overview considers different seismic hazard analysis
methods including differences in the output hazard parameters. The evaluation is
focussed on the usability of the method with respect to the design and risk
analysis of critical infrastructures.
3 Scenario-based approach for the development of the seismic
design basis for critical infrastructures
Figure 1 shows in the form of a mind map the key elements of the seismic design
procedure as they are embedded into the decision making process for selecting a
site and deciding on the seismic design basis for a critical infrastructure. The
procedure is based on a combination of deterministic and probabilistic
assessment elements. While the design is developed based on a scenario-based
procedure combining traditional DSHA with waveform modelling as it is
characteristic for NDSHA, an additional risk analysis is performed to check the
credibility of the design from a risk perspective. The procedure outlined here
follows in general the approach suggested first in [18].
In Figure 1, steps in the management decision process are highlighted in red
(e.g. site selection and the decision on the seismic design basis), while the key
steps of the seismic design procedure are highlighted in green. Supporting steps
(required information) are shown in light blue colour.
According to the procedure, the first step consists in the development of a
noninformative (generic) seismic hazard for candidate sites suitable for the
construction of the planned critical infrastructure. This more generic (or
regional) seismic hazard analysis is based on
a preliminary earthquake catalog,
a regional seismo-tectonic model including e. g., fault maps on a
larger regional scale,
a global geological model of the region, and
readily available or generic regional ground motion models and
magnitude-fault length scaling relationships.
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56 Earthquake Resistant Engineering Structures IX
Figure 1:
Mind map illustrating the key elements of the scenario-based
seismic design procedure.
Performing a generic seismic hazard analysis for several candidate sites
includes:
selecting the target parameter of the analysis to characterize ground
motion intensity, and
developing an enveloping response spectrum for the target
parameter.
As target parameters may serve different seismological or engineering
characteristics or combinations thereof, the use of combinations of parameters is
preferable because a single parameter barely can express the engineering effects
of seismically induced ground motions. The only exception is the site-specific
intensity that can be used as a criterion for the selection of the most suitable site
for the construction.
For a generic seismic hazard analysis, it is sufficient to develop an enveloping
(pseudo) spectral acceleration response spectrum and to provide an assessment of
the maximum strong motion duration of the underlying controlling earthquakes
(for elastic design of structures and components, this is not even required). This
is sufficient for robust decision making. Figure 2 shows a flow chart with the key
working steps for the development of a preliminary seismic design basis by the
help of a preliminary non-informative seismic hazard analysis. The methodology
follows essentially the traditional approach of deterministic seismic hazard
analysis (DSHA).
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Earthquake Resistant Engineering Structures IX
Figure 2:
57
Flow chart illustrating the working steps of the generic seismic
hazard analysis (DSHA method).
To derive a preliminary design spectrum, three hazard input components have
to be processed and evaluated:
Historical and instrumentally recorded earthquakes (from the
preliminary catalog) have to be processed into response spectra by
the help of a generic or a regional ground motion prediction
equation; an envelope of all obtained response spectra has to be
derived.
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58 Earthquake Resistant Engineering Structures IX
The available fault maps have to be processed into fault
characteristic response spectra by defining for each fault a single
controlling earthquake characterized by maximum credible
magnitude and the shortest distance from fault to site; an envelope
of all obtained response spectra has to be derived.
For the near-site surroundings the existence of a hidden
undetectable active fault has to be assumed. A controlling event for
this fault has to be defined based on the resolution limits of the site
investigation program and the quality of historical information
available. In case of high quality long term historical information
(and presuming that the site of interest is not directly located in the
area of largest historical earthquake event) it is sufficient to assume
a controlling event with a magnitude corresponding to the
maximum magnitude observed in the same seismo-tectonic
province reduced by the error of magnitude estimates (1.5σ= 0.5
magnitude units). A minimum value of magnitude 5.5 is suggested
in case of in-sufficient historical information and insufficient
information from site specific investigations. The distance to site
has to be assumed as half of the corresponding fault length
projected to the surface.
The final step consists in the development of an envelope of all
obtained response spectra and the incorporation of uncertainty. For
this purpose it is suggested to perform a parametric sensitivity
study on the effect of using alternate empirical ground motion
prediction equations suitable for the region to define possible
epistemic uncertainty. The final preliminary design basis spectrum
is then defined as the envelope of the response spectra multiplied
by the factor
2
F exp c
2
where c is calculated as the
Gaussian error law combination of epistemic uncertainty and
aleatory variability:
c 2 epi 2 aleatory
(1)
The resulting factor F should be in the range of 1.3–1.4 as long as a set of
suitable for the region empirical ground motion prediction equations is used.
The maximum strong motion duration has to be assessed based on the
controlling events derived from each component of seismic hazard input
information using the maximum strong motion duration from each of the single
controlling events.
After site selection and the development of the key design features of the
critical infrastructure to be built (e.g., for a nuclear power plant) a scenario-based
seismic hazard analysis based on the site-specific information and considering
the specifics of the preliminary design of the plant to be built is to be performed.
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A key topic is the gathering of local information of faults in the surroundings of
the site and the assessment of their seismogenic potential. Typically, it is
expected that the near-site hazard contribution can be reduced in comparison to
the preliminary seismic hazard analysis by obtaining a more detailed fault
mapping from geologists. A characteristic feature of the refined scenario-based
seismic hazard analysis consists in the replacement of empirical ground motion
prediction equations by waveform modelling techniques. These techniques are
applied to obtain a set of source and site compatible ground motion time histories
as required for non-linear structural dynamics to support the final design of the
critical infrastructure.
The results of the more specific scenario-based seismic hazard analysis (based
on NDSHA procedures) are used to check and to validate or modify the design
features of the plant with respect to earthquake resistance.
To complement the deterministic seismic design analysis, an additional risk
assessment will be performed as the concluding step of the design development
procedures. In general it can be expected that this risk assessment will confirm
the robust design of the plant. If necessary, design modifications can still be
performed to address specific insights from the risk assessment.
4 Example for design procedure
The procedure has been applied in a generic study for the development of the
seismic design basis of a new nuclear power plant near the existing Goesgen
nuclear power plant in Switzerland.
4.1 Sources of geological and seismo-tectonic information
Several past seismic hazard studies performed in Switzerland have provided a
large amount of information from the beginning of the site evaluation process.
Several past seismic hazard studies performed in Switzerland have provided a
large amount of information from the beginning of the site evaluation process.
The main source of input for the first component of the generic seismic hazard
analysis is based on (a) the site specific earthquake catalogue of Goesgen
developed by comparing several published earthquake catalogues of Switzerland
and the neighbouring countries [18], (b) a regional geological fault map of
Switzerland from Swisstopo and (c) a detailed local fault map for the
surrounding area from NAGRA. The detailed local fault map allows a direct
estimate of seismic hazard from near-site sources without the need for
refinement for a later detailed analysis.
4.2 Development of preliminary seismic design basis
The empirical ground motion prediction equations of Ambraseys et al. [19] were
considered as the generic empirical ground motion prediction model appropriate
for Switzerland because it was based on a broad European database. The
equations for stiff-soil were applied because the average shear wave velocity at
the plant site lies between 420 and 520 m/s. This selection was justified by a
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60 Earthquake Resistant Engineering Structures IX
detailed comparison with other empirical ground motion equations leading to
similar or lower hazard results.
The evaluation of historical events resulted in a list of earthquakes with
magnitudes larger than 5, as given in Table 2. Earthquakes with magnitudes
smaller than 5 (EMS 98 intensity <=VII) do not present a problem to engineered
structures like a NPP, and therefore can be ignored.
Figures 3 and 4 compare the response spectra of the largest historical events:
the Kaiseraugst earthquake reported from the Roman times and the Basel
earthquake. Because the source mechanisms were not known, all different
faulting styles considered by Ambraseys et al. [19] are applied. Not
unexpectedly, thrust faulting produced the highest response spectrum. Based on
the analysis, the Basel earthquake can be regarded as the controlling earthquake
for the reference site by considering all recorded or reported earthquakes in the
catalogue. At the same time, the spectrum of the Basel earthquake represents the
enveloping response spectrum for historical events. For a magnitude 6.6 event, a
strong motion (uniform) duration of 14s is considered as a reasonable estimate.
The (best estimate) PGA at the reference site for the Basel event is 0.112 g. The
associated site intensity in EMS98 scale is VII-VIII. The evaluation of local fault
map information was performed using the generic Wells and Coppersmith [20]
equations.
Table 2:
Historical earthquakes with magnitude exceeding 5.
Year
Location
250
Kaiseraugst
(Augusta
Raurica)
Aesch
Basel
Basel
Basel
Sarnen
Unterwalden
Sarnen
Altdorf
Frutigen
1721
1356
1356
1650
1777
1601
1964
1774
1729
Mw_Catalog,
Goesgen
6
Distance, km
5
6.6
5.4
5.3
5.1
5.9
5.3
5.7
5.2
30.01
30.01
34.42
38.79
57.87
57.89
61.55
78.40
85.78
25.05
Independently from the age of the faults it was assumed that all faults might
be reactivated during the lifetime of the planned new nuclear power plant. To
incorporate possible epistemic uncertainty into the analysis the maximum
credible earthquakes were assigned using the median plus 1 sigma estimate from
the Wells and Coppersmith [20] equations.
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Figure 3:
Figure 4:
61
Site specific response spectra of the Kaiseraugst (250) earthquake
at the plant site.
Site specific response spectra for the Basel earthquake (1356).
Figure 5 shows the magnitude distribution obtained by the described method
from the information of local fault maps.
Detailed analysis of the local fault map identified a possible critical near-site
scenario: the “Engelberg scenario” under the assumption of re-activation of the
corresponding fault system. The scenario is characterized by a magnitude of 5.2
(median + 1 sigma) and a shortest distance to the site of 3.5 to 4.5 km. The most
likely fault mechanism is normal, but in the generic study a more general
approach was applied. Therefore, all fault styles considered in the Ambraseys
[19] equations, except for blind thrust (the fault is not blind) faulting, were
included in the analysis. The strong motion duration of the Engelberg scenario
event is approximately 5s. The associated site intensity in EMS 98 scale is VII.
Figure 6 shows the response spectrum obtained for this earthquake scenario.
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62 Earthquake Resistant Engineering Structures IX
Figure 5:
Figure 6:
Estimated magnitude distribution from the local fault map.
Site specific response spectra of the Engelberg earthquake scenario
at the Reference site.
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The total uncertainty (composite uncertainty) of the ground motion
predictions was estimated to be c 0.78 . Therefore the safety factor to be
considered in the design basis was estimated as F 1.36 .
Figure 7 shows the resulting preliminary design spectrum constructed as the
envelope of all seismic information processed according to the procedure.
The computed “mean” response spectrum is anchored at a PGA value of
0.33g, while the best estimate spectrum is anchored at 0.243g. These PGAs refer
to the maximum horizontal acceleration. The preliminary seismic design basis is
very conservative and robust, because it considers all seismic sources of
Switzerland (historical events, active and not active sources) of engineering
importance. The resulting spectrum has a spectral shape which envelops the
response spectral shapes for all underlying seismic sources. The strong motion
duration is set to the value corresponding to the strongest historical event, despite
the fact that this event will lead to a significantly lower response spectrum.
Figure 7:
Preliminary seismic design basis (best estimate, mean).
4.3 Refined seismic hazard analysis – final seismic design basis
Because very detailed information already was available during the preliminary
phase of the development of the design basis, the refinement phase focussed on
the modelling of critical scenarios. The Basel earthquake scenario and the
Engelberg earthquake scenario were selected for the analysis.
The Basel earthquake scenario was investigated using a hybrid technique
based on a combination of modal summation and finite difference methods to
simulate the ground motion at the reference site [21]. A large set of sensitivity
analyses was performed to estimate the range of ground motion parameters
expected. These analyses included a variation in (1) bedrock model, (2) source
radiation pattern, and (3) earthquake magnitude. A total of 14 analyses were
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performed. In most cases, the calculated PGAs fell below the reference PGA
value of the preliminary design basis. Only when the upper bound PGA value for
the historical Basel earthquake magnitude (Mw=6.9) was estimated for the
maximal radiation pattern configuration, the reference PGA value was exceeded.
The Engelberg scenario was investigated with a kinematic model [22]. The
theoretical maximum magnitude value of Mw=5.2 was postulated for all
simulations. A large set (totalling 44 cases) was used for performing sensitivity
analyses, including variations in source, path (with epicentral distance) and site
parameters. The mean value for PGAs of all simulations fell below the
preliminary design basis reference PGA value. The short duration of strong
motion was confirmed and so also a site intensity of VII (EMS 98) confirmed.
An earthquake of this magnitude does not concern the safety of a modern nuclear
power plant due to its insufficient energy contents imparted to the structures.
Therefore, the preliminary seismic design basis was confirmed as a sound
basis for engineering design.
4.4 Risk analysis: loss of production
The scenario-based approach allows for a flexible approach to risk analysis. The
basic concept is that the available data shall drive the selection of the
probabilistic model used in the analysis. Because the seismic activity is not
stationary – the Poisson assumption is in general not applicable to seismic
activity (see discussion in [8] and [17]), a time-dependent model has to be
applied for the assessment of instantaneous risk. Different time-dependent
models have been suggested in the past for site-specific analysis [12] or for the
development of time-dependent seismic hazard maps and an intermediate-term
earthquake prediction [23].
In this example, risk assessment was limited to the evaluation of a possible
earthquake-induced production loss during the planned lifetime of the new
nuclear power plant (about 60 years). As a criterion for a possible production
loss, the exceedance of a site intensity of VI was applied in the analysis. The
conditional probability that such an event will lead to a production loss was
estimated based on a calculated plant fragility function and was found to be
about 5% (mean). Because the risk assessment is limited to a short period of
time, it is feasible to perform the analysis on the basis of historical information
only. The data presented in Table 2 was used and the associated site intensities
were calculated based on the equations used for the development of the Swiss
national earthquake catalogue [24]. The general renewal process model (GRP) as
described in detail [25] and as implemented in the reliability software tool
WEIBULL++7© [26] was applied for the analysis. The type I GRP model was
found to provide the best prediction of past earthquake observations. The GRP is
characterized by three parameters, the rebuild effectiveness factor q , the event
rate and the power coefficient
calculated parameters are:
of the renewal process. The best estimate
0.4573, 0.0759, q 2.3842 E 8
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The small value of q is a clear indication that the Poisson assumption for the
recurrence of site intensities greater or equal VI is not justified for the reference
site. The prediction of events exceeding intensity VI over the lifetime of 60 years
resulted in the following two-sided confidence interval (90% confidence):
n 0.0396, 0.554, 2.0152
Therefore, the chance that the new plant will be subjected to earthquake
intensity larger than VI during the planned lifetime of 60 years cannot be
completely excluded. The probability that at least a single event leading to site
intensity greater VI will occur is approximately 40% (mean value). Hence, the
total probability of a seismically induced production loss over the lifetime of the
structure is about 2%.
5 Conclusions
1. The dramatic limitations of traditional PSHA methods [1, 5] have been amply
observed in recent damaging earthquakes, proving that the methods are not able
to provide reliable seismic hazard estimates especially in areas of high and low
seismicity. This raises the need to develop alternative methods to meet the needs
for modern earthquake engineering.
2. Modern seismic hazard analysis methods based on the extended use of
waveform modelling techniques (NDSHA) or scenario-based SHA can provide a
meaningful alternative to PSHA for engineering needs in developing a robust
seismic design basis for critical infrastructures [11].
3. A comprehensive procedure has been developed for developing the design
basis of critical infrastructures like a nuclear power plant and its application has
been demonstrated for a generic planning study.
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66 Earthquake Resistant Engineering Structures IX
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