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  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Strong motion record processing of the Baikal rift zone</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Vasiliy A. Mironov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
          <xref ref-type="aff" rid="aff1">1</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Sergey A. Peretokin</string-name>
          <xref ref-type="aff" rid="aff1">1</xref>
          <xref ref-type="aff" rid="aff2">2</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Konstantin V. Simonov</string-name>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Institute of Computational Modeling SB RAS</institution>
          ,
          <addr-line>Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff1">
          <label>1</label>
          <institution>Krasnoyarsk Branch of the Federal Research Center for Information and Computational Technologies</institution>
          ,
          <addr-line>Krasnoyarsk</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
        <aff id="aff2">
          <label>2</label>
          <institution>Schmidt Institute of Physics of the Earth RAS</institution>
          ,
          <addr-line>Moscow</addr-line>
          ,
          <country country="RU">Russia</country>
        </aff>
      </contrib-group>
      <fpage>296</fpage>
      <lpage>302</lpage>
      <abstract>
        <p>The work is devoted to the adaptation of the earthquake record processing algorithm of the Pacific Earthquake Engineering Research Center to the peculiarities of seismic monitoring of the Baikal region. A tool for forming a database for building a regional seismic attenuation model is presented.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Peak ground acceleration</kwd>
        <kwd>ground motion prediction equation</kwd>
        <kwd>probabilistic seismic hazard analysis</kwd>
        <kwd>earthquake</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>Seismic hazard assessment of a construction site is an integral part of the complex of engineering
and geological surveys during design and building in active seismic regions. Most of the methods
for seismic hazard assessment are based on two interrelated models: the earthquake source zone
(ESZ) model and the attenuation model, also known as the ground motion prediction equation
(GMPE). The task of the ESZ model is to adequately describe the distribution of earthquakes in
space and time. The GMPE describes the dependence of the characteristics of ground vibration
on the investigated site on the parameters of the earthquake rupture, distance to the source,
local conditions of the site, etc.</p>
      <p>
        The most modern can be considered the GMPEs published as a result of the NGA-West2 stage
of the Global Earthquake Model (GEM) Global GMPEs project, namely Abrahamson et al. (2014),
Boore et al. (2014), Campbell and Bozorgnia (2014), Chiou and Youngs (2014), Idriss (2014) [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ].
      </p>
      <p>The ESZ model and GMPE are input data for seismic hazard assessment using probabilistic
seismic hazard analysis (PSHA) procedures. At the same time, the correctness of the PSHA results
and the validity of the final assessments of seismic hazard depend on the quality, completeness
and reliability of the initial data.</p>
      <p>Modern GMPEs can be divided into global and regional. Global dependencies are built
according to worldwide statistics without georeferencing to a specific region. In addition,
they are distinguished by high epistemic and aleatory uncertainties. For well-studied regions,
provided with reliable seismological statistics and detailed seismotectonic information, regional
GMPEs are created. Such models are characterized by a lower level of uncertainty than global
GMPEs. In the above foreign GMPEs, the coeficients for the regions of California, Turkey, Italy,
Taiwan, China, and Japan are separately determined.</p>
      <p>In accordance with the standard documents of the Russian Federation, the seismic hazard
is mainly assessed in macroseismic scale point. At the same time, for calculating the seismic
resistance of buildings, the intensity of shaking is recalculated to physical characteristics of
vibrations using empirical formulas. The conventional character of this approach is considered
as not complying with the current requirements by the majority of professional researchers
and design engineers.</p>
      <p>On January 22, 2016, the Scientific Council of the Russian Academy of Sciences (RAS) on
Problems of Seismology discussed the issue of transition from macroseismic points to direct
assessment of the physical parameters of seismic vibrations. As a result, the Scientific Council
supported this direction of research to improve methods for assessing seismic hazard in Russia.</p>
      <p>The improved PSHA algorithms, software tools and global GMPEs make it possible already
now to obtain preliminary estimates of the seismic hazard of the territory of the Russian
Federation in peak accelerations and generalized response spectra. However, in order to obtain
more reliable seismic hazard assessment, there is a critical need to build new regional attenuation
models for the territory of the Russian Federation.</p>
      <p>
        The general scheme for building the GMPE consists of the following stages. Accumulation
of strong motion records. Processing of earthquake records, calculation of their parameters.
Evaluation of the applicability of the processing results — comparison with other GMPEs.
Building of GMPE — development of a mathematical model. In this paper, the first three stages
are considered. Algorithms and results of strong motion record processing for the Baikal rift
zone are presented. The algorithms used are based on the Pacific Earthquake Engineering
Research Center methodology [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ]. These algorithms were adapted to the peculiarities of seismic
monitoring of the Baikal region and implemented in the MATLAB.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Source data and processing algorithms</title>
      <p>
        The source data are records of earthquakes recorded by a network of regional seismic stations on
the territory of the Baikal rift zone. The network of seismic stations is organized by the Baikal
Branch of the Federal Research Center of the Geophysical Survey RAS [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. The work used data
from 25 registration points located around Lake Baikal. The Baikal Branch provided 199 initial
records from 38 earthquakes (19 earthquakes in 2003, 18 earthquakes in 2004 and 1 earthquake
in 2020). In the future, it is planned to continue selecting records to increase statistics. The
criterion for selecting earthquakes for further processing was the maximum epicentral distance
(Repi ≤ 300 km) and the energy class of the earthquake ( ≥ 11). Figure 1 shows the location
of seismic stations, the epicenters of the considered earthquakes, their energy class.
      </p>
      <p>Initial records of earthquakes were obtained by seismic stations “Baikal-11” and
“Baikal11MS”. The stations “Baikal-11”, “Baikal-11MS” have three short-period seismometric channels
of increased sensitivity, registering ground velocities, and three channels of lower sensitivity,
registering ground acceleration. The sampling rate is 100 samples per second. Frequency
response were obtained for all stations. The source records are binary files. These files can
be divided into two types. The first type corresponds to files containing records of 6 channels
(3 channels of velocity time series and 3 channels of acceleration time series). The second type of
ifles contains records of only 3 channels (velocity). To process the initial records, computational
algorithms were implemented to achieve maximum automation of the data processing process.
The general scheme of the procedure for earthquake record processing for each channel is
shown in Figure 2.</p>
      <p>
        Reading and converting the source binaries is performed first. After, for each channel, the
average value of the entire record is subtracted from each element of the time series. A
highfrequency 5-pole Butterworth acausal filter is used to remove the instrument response [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. The
corner frequency is determined from the frequency response of the instrument (the lowest
frequency of the flat response boundary), which is reduced by a factor of 1.25 [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. The need
to reduce the corner frequency is due to the possible loss of data. Before filtering, zeros of the
specified length are added to the ends of the record; after filtering, zeros are removed. This
procedure is aimed at eliminating the appearance of edge efects after filtering time series.
Further, the obtained time series is multiplied by the calibration coeficient of the instrument to
convert the initial data into physical values of velocity or acceleration.
      </p>
      <p>The next step is to define corner frequencies for basic time series filtering. For this, the window
of the earthquake recording and the window of the noise before the earthquake are selected
on waveforms. For each window, the Fourier amplitude spectrum and its smoothed function
are calculated. The smoothed functions are used to calculate the signal-to-noise ratio. The
frequency interval for calculating the signal-to-noise ratio is the corner frequency determined
earlier and the frequency equal to 80% of the Nyquist frequency. The first frequencies where
the signal-to-noise ratio is greater than 3 are taken as corner frequencies for band-pass filtering
(5-pole Butterworth acausal filter). Zeros are added to the ends of the record before filtering.</p>
      <p>
        Next, the displacement time series are calculated by integrating the filtered time series in
the frequency domain using the fast Fourier transform. To remove a possible trend in the
displacement series, a sixth order polynomial is fitted, with the zero and first order coeficients
equal to 0. The resulting polynomial is twice diferentiated and subtracted from the acceleration
time series. From the corrected accelerations, we obtain a time series of velocity and displacement
by integration. At the end, the previously added zeros are removed and the peak ground
acceleration, velocity, displacement (PGA, PGV, PGD) and acceleration response spectrum are
calculated. Also, the calculation of the geometric mean acceleration response spectrum from
two horizontal components (RotD50) is performed, which does not depend on the azimuth of
the earthquake epicenter relative to the recording station [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. The obtained acceleration time
series, velocity time series, displacement time series, PGA, PGV, PGD and acceleration response
spectra will help to form a regional strong motion database.
      </p>
    </sec>
    <sec id="sec-3">
      <title>3. Results of experimental studies</title>
      <p>After processing the initial data, the resulting time series of accelerations, velocities,
displacements were viewed. During the evaluation of the applicability, some data were excluded from
further consideration. The reasons for exclusion are as follows. Noisy initial recordings or a
failure of the recording instruments, as a result of which, after processing, incorrect time series
of acceleration, velocity, displacement are obtained.</p>
      <p>For each station-earthquake pair, the epicentral distance was calculated. Also, the hypocentral
distance and the closest distance to the surface projection of the rupture plane (Rjb) were
calculated. Figure 3 shows the distribution of energy class-Rjb distance. Since the majority of
earthquake records are characterized by the presence of 6 channels, then data obtained from
both accelerations and velocities were used. This was done to increase the statistics of the data.</p>
      <p>Figure 4, a shows the acceleration time series for the E channel, obtained after processing the
velocity recording (PGA = 0.0052 m/s2). Figure 4, b shows the acceleration time series for the
E channel obtained after processing the acceleration record (PGA = 0.0051 m/s2). Figure 4
illustrates well the correctness of the data processing procedures.</p>
      <p>
        For data validation, the PGA values of all processed records (two horizontal channels and
RotD50 values) were compared with the GMPE Boore et al. (BSSA14) [
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. In Figure 5, diferent
symbols indicate PGA for N, E channels and RotD50. In brackets, the symbol V denotes the
values obtained from the velocities, a — the values obtained from the accelerations. Attenuation
a
curves for BSSA14 are plotted for an averaged shear-wave velocity of the top 30 m of soil
Vs30 = 850 m/s. Graphs are drawn for each energy class, the classes were combined to integer
values.
      </p>
      <p>Figure 5 shows that the PGA data obtained shows good agreement with the attenuation model
BSSA14. A significant scatter of data relative to the average values of the model is associated
with not taking into account averaged shear-wave velocity of the top 30 m of soil (Vs30) at the
registration points, and the focal mechanism.</p>
      <p>With the accumulation of suficient statistics, determination of Vs30 at the points of
registration and classification of earthquakes by focal mechanisms, the initial data will be divided
according to these features. At the current stage of research, there is not enough data to
statistically formulate a regional GMPE. First of all, it is necessary to increase the amount of data for
the near zone of 10–50 km.</p>
    </sec>
    <sec id="sec-4">
      <title>4. Conclusion</title>
      <p>The work is devoted to the implementation of the earthquake record processing for the formation
a strong motion database of the Baikal rift zone. The proposed algorithms based on the Pacific
Earthquake Engineering Research Center methodology were adapted to the peculiarities of
seismic monitoring of the Baikal region and implemented in the MATLAB.</p>
      <p>The formation a database of strong movements for the Baikal region has begun. After
processing 199 records from 38 earthquakes and excluding some of them, the PGA-distance
distributions for diferent levels of energy classes were constructed. Comparison with GMPE
Boore et al. (2014) showed good agreement, and the existing scatter of data relative to the
average values of the attenuation model is associated with not taking into account Vs30 at the
registration points and the focal mechanism.</p>
      <p>In the future, it is planned to expand a strong motion database by continuing the selection of
records of earthquakes in the Baikal rift zone. In addition, such data processing will consider
not only the PGA values, but also the maximum accelerations in the engineering range of
the response spectrum oscillation periods. As a result, the obtained data will be used to build
a regional attenuation model of the Baikal region in order to obtain correct seismic hazard
assessment.</p>
    </sec>
    <sec id="sec-5">
      <title>Acknowledgments</title>
      <p>The work was carried out on the topic of state assignment No. 0144-2019-0010. The data used
in the work were obtained with large-scale research facilities “Seismic infrasound array for
monitoring Arctic cryolitozone and continuous seismic monitoring of the Russian Federation,
neighboring territories and the world” (https://ckp-rf.ru/usu/507436, http://www.gsras.ru/unu).</p>
    </sec>
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