GENERALIZATION OF SITE EFFECTS FOR EARTHQUAKE SCENARIO
APPLICATIONS THE COASTAL PLAIN AREA FINAL REPORT
December,
2002 GII Report 595/274 /02 Dr. Yuli Zaslavsky, Dr. Avi Shapira, Marina
Gorstein, Michael Kalmanovich, Nahum Perelman, Vadim Giller, Ion Livshits,
Dagmara Giller, Ilana Dan, Tatyana Aksienko and Galina Ataev
Principal Investigator:
Dr. Y. Zaslavsky
Prepared for The Steering
Committee for National Earthquake Preparedness and Mitigation
About 2
million inhabitants in Israel, almost one third of total population of the
country, live in the band of seacoast between the towns of Ashqelon and
Haifa. Due to the population density here, this region may be considered a
high seismic risk zone. The objective of this study is to derive the
ground shaking characteristics, resonance frequency and amplification
factor for different site conditions. The quantitative assessment of
seismic response is made from the horizontal-to-vertical spectral ratios
of ambient noise. In order to characterize the seismic response of the
seacoast area (130x10 km2), the ambient noise survey was carried out at
190 sites. The measurement points were selected to provide good coverage
of the area, considering different surface sedimentary deposits, thickness
of sediments and the shear-wave velocity contrast between sediments and
bedrock. Results indicate site amplifications ranging from 1.0 to 8.0
within the frequency band 1.0-6.0 Hz. We present two maps that reflect the
fundamental characteristics of site effects in the area: dominant
frequency and maximum relative amplification. The observed resonance
frequencies and their amplifications were correlated with analytical
functions that correspond to 1-D subsurface model. The key parameters of
the model are shear wave velocity, thickness and density of materials for
each layer. Collection of available geological, geotechnical and
geophysical data relevant to local geology and combining theoretical and
experimental response functions provided reliable estimations of
analytical site effects. We used the adequate
analytical transfer functions and Stochastic Evaluation of Earthquake
Hazard (Shapira and van Eck, 1993) to predict the site dependent Seismic
Ground-Motion Hazard Maps in terms of ground motion parameters used for
engineering purposes: Peak Ground Acceleration, Spectral Acceleration at
different frequencies and Maximum Spectra acceleration for a probability
of 10% during an exposure time of 50 years and a damping ratio of 5%. The
databases created for the investigated area allowed preparation of a
number of realistic Earthquake Hazard scenarios.
In order to facilitate estimations of
earthquake loss scenarios, we divided the Coastal Plain area into six
geographical zones, each one characterized by fundamental frequency and
amplification factor. For each zone we adjusted the overall soil-column
model, which allows calculation of the response spectrum throughout the
whole Zone.
In
order to mitigate earthquake risk and initiate preparedness plans we must
be able to estimate the possible consequences of strong earthquakes, i.e.,
implement our accumulated experience of past earthquakes to present a
scenario of an eventual earthquake (Shapira et al., 2001). This scenario
must be supported by the ability to provide a realistic assessment of
damage and losses due to strong earthquakes. Lessons of past large
earthquakes have shown that, within 24 hours after events, the number of
fatalities under building debris may reach 48% of total number of those
trapped under debris unless rescue operations are started in time
(Shakhramanjyan et. al., 2000). The strong
influence of near-surface geological conditions has been apparent in
damage distribution of many destructive earthquakes. Two “famous” examples
of such effects are San Francisco and Mexico City. In the San Francisco
earthquake, local amplifications over unconsolidated sediments have been
shown to be responsible for intensity variations as large as two degrees
(MM scale) during both the 1906 “big” San Francisco earthquake and the
more recent 1989 Loma Prieta event. In Mexico City, there are very soft
lacustrine clay deposits underneath the downtown area of the city. These
lead to very large amplifications, which, in turn, caused a high death
toll and considerable economic losses during the distant Guerrero
Michoacan earthquake of 1985. Nearly all recent destructive earthquakes
(Spitak, Armenia 1988, Northridge 1994, Kobe 1995, Armenia, Columbia 1999,
Turkey 1999 and many more) have provided additional evidence of the
dramatic influence of site effects. The first
step in forecasting the type of losses, is to map the amplification of
seismic waves by soft near-surface deposits. One alternative approach in
predicting site effects involves determining the physical properties of
local soils setting by conducting borehole and seismic profile studies.
Measured parameters can then be used in theoretical models to predict site
response functions. The main disadvantage of this method is the relatively
high cost of conducting the necessary geotechnical or geophysical studies
that, in many cases, prove to be problematic. Although theoretical
approaches are instructive, conducting the necessary sensitivity tests
(with respect to different locations and sizes of possible events) and
incorporating the inherent uncertainty (with respect to our limited
knowledge of the Earth’s structure), is usually impractical. For example,
hundreds of thousands of dollars were spent on geotechnical
site-characterization at Turkey Flat, located near the Parkfield section
of the San Andreas Fault. According to Field and Jacob (1993) “Turkey Flat
will be the most extensively studied sediments field in the word”.
However, these authors reached the conclusion that “the average spectral
ratios of earthquake recording provide a better estimate of the weak
motion site response at Turkey Flat than do theoretical prediction”. The
superiority of empirical observations was also suggested by Seed et al.,
(1988) in stating, “…it is desirable to refine direct measurements of
shear wave velocities with data that may be obtained from actual
earthquake records”. The site response
functions are, by definition, equivalent to the spectral ratio with
respect to a reference site, located on rock, when the data are strong
ground motions (Rogers et al., 1984; Singh et al., 1988; Jarpe et al.,
1988; Darragh and Shakal, 1991; Borcherdt and Glassmoyer, 1992; Gutierrez
and Singh, 1992; Satoh, et al., 1995; Aguirre and Irikura, 1997; Su, et
al., 1998; Beresnev, et al., 1998; Hartzell, 1998; Reinoso and Ordaz,
1999; Zaslavsky and Shapira, 2000). In regions where the seismic activity
is relatively low, as in Israel, this type of analysis is usually
impractical. Many investigators evaluated site response functions from
moderate to weak motions of earthquakes (Tucker and King; 1984; King and
Tucker; 1984; McGarr et al., 1989; Field et al., 1992; Field, 1996; Liu et
al., 1992; Jongmans and Campillo, 1993; Carver and Hartzell, 1996;
Hartzell et al., 1996; Steidl et al., 1996; Toshinawa at al., 1997;
Zaslavsky et al., 2000). The main deficiency of the reference site
technique is the choice of reference motion represents the true input
motion to the soil site. According to Steidl (1993), when it is possible,
the reference ground motion should be calculated by averaging several rock
sites. Steidl et al., (1966) and Zaslavsky et al., (2002) show that the
assumption of a flat response rock site is often false, mainly due to
weathering. Use of these surface-rock sites with flat response as
reference sites often leads to underestimation of the amplification by
factor of 2 to 4 in the frequency range 2 to 7 Hz.
Lermo and Chavez-Garcia (1993) drew
significant results from a non-reference technique, the receiver function
technique, i.e., using the horizontal-to-vertical spectral ratios of
shear-wave. Many studies report that the frequency dependence of site
response can thus be obtained from measurements made at only one station
at the analyzed site (Lermo and Chavez-Garcia 1994; Theodulidis et al.,
1996; Seekins, et al., 1996; Malagnini et al., 1996, Zaslavsky et al.,
1995 and many others). The implementation of this approach, however, still
requires the rather frequent occurrence of earthquakes.
The idea of evaluating site characteristics
from microtremor records originated from the pioneering work by Kanai and
Tanaka (1961). They pointed out that predominant frequency of horizontal
spectra of microtremors is related to shallow, local geological
conditions. Since then it has been reported that this technique has proved
effective in estimating fundamental frequency (Tanaka et al., 1966; Tanaka
et al., 1968; Katz, 1976; Katz and Bellon, 1978; Ohta et al., 1978; Kagami
et al., 1982; Zaslavsky, 1984, 1987). However, in most cases, due to the
influence of artificial sources from dense population, high traffic and
various industries, the resonance frequency cannot be directly identified
in the microtremor spectra (Zaslavsky et al., 2001b, 2002).
Kagami et al., (1982) proposed that the ratio
of the horizontal components of the velocity spectra at the sediment site
to those at the rock site could be used as a measure of microseism ground
motion amplification. This technique is widely used for site response
estimating (Rovelli et al., 1991; Field et al., 1990, 1992; Hough et al.,
1992; Malagnini et al., 1996; Gutierrez and Singh, 1992; Dravinski et al
1995, Gaul et al., 1995; Zaslavsky et al., 1995, 2000; Shapira et al.,
2001). Our experiments (Zaslavsky at al., 2000) show that bedrock ground
motion can be considered a good reference site when distances as smaller
as 0.5-1.0 km from the soil site. Nakamura
(1989) hypothesized that site response could be estimated by simply
evaluating spectral ratio of horizontal versus vertical component of noise
observed at the same site. Most studies show that the H/V ratio obtained
from microtremors coincides with response functions of near surface
structures to incident shear wave (Ohmachi et al., 1991; Lermo and
Chavez-Garcia, 1994; Zaslavsky et al., 1995; Seekins et al., 1996;
Gitterman et al., 1996; Konno and Ohmachi 1998; Mucciarelli and Monachesi,
1998; Chavez-Garcia and Cuenca, 1998; Toshinava et. al., 1997; Shapira et
al., 2001). There is another conclusion regarding microtremors
horizontal-to-vertical spectral ratios. Recently, Field and Jacob, 1995;
Bonilla et al., 1997; Horike et al., 2001; Satoh et al., 2001 contended
that estimates of the frequency of the predominant peak are similar to
those obtained from traditional sediment-to-bedrock spectral ratio of
earthquake records (Borcherdt, 1970), however the absolute level of site
amplification does not correlate with the amplification obtained from this
method. The objective of this study included performing quantitative
estimates of site effects in the seacoast area between Ashquelon and Haifa
using ground motion from ambient noise (microtremor). The
horizontal-to-vertical spectral ratios obtained with the Nakamura method
(H/V ratio or QTS, Quasi-Transfer Spectra) were compared with numerical
simulations. Available data relevant to local geology, subsurface layering
and soil geotechnical characteristics were compiled from borehole data,
velocity-depth maps of the shallow part of the geological section of the
Mediterranean Sea Coastal Plain, and from local S-wave refraction surveys
in different parts of this area. Considering the subsurface structural
data, we calculated the trial 1D transfer functions. For 1-D modeling we
used the Joyner (1977) program that requires as input the S-wave velocity
model, density and thickness of the each layer. The mechanical
characteristics at our sites are not well known, therefore the numerical
techniques were applied starting from trial models. The 1-D response
functions were compared with the empirical determinations. By means of
trial and error, we obtained physical models established for 90 points in
the investigated area consistent with our experimental observations. We
used the adequate analytical transfer functions and Stochastic Evaluation
of Earthquake Hazard (Shapira and van Eck, 1993) for predictive site
dependent Seismic Ground-Motion Hazard Maps in terms of ground motion
parameters used for engineering purposes: Peak Ground Acceleration,
Spectral Acceleration at different frequencies and Maximum Spectra
acceleration for a probability of 10% during an exposure time of 50 years
and a damping ratio of 5%. The databases created for the investigated area
enabled us to prepare a number of realistic Earthquake Hazard Scenarios.
The
investigated area is situated along the Coastal Plain extending from
Ashquelon to Haifa, about 140 km long and almost 8-10 km wide. The basic
data of the region were collected from Gvirtzman ( 1965, 1969, 1983) and
the new version of the geological map of Israel to a scale of 1:200,000
(Sneh et al., 1998). The Quaternary sediments
outcropping in the investigated area are represented by alluvium, dune
sands, hamra and kurkar. Sand dunesof Holocene age:
These sediments are exposed along the
coastline as a strip, up to 5km wide in some places, covering 15-20% of
this area. Sand dunes usually overlay some sandstone and sometimes
alluvium or loam. The thickness of these sediments varies from 5 to 20m.
Alluvium
sediments of Holocene age:
These are composed of sand, soil, gravel, clay
and loess. These sediments are developed along river beds with thickness
varies from 5m to 30m. Alluvium and “Hamra” (red sandy clay) sediments
occupy about 80% of the area and usually overlay calcareous sandstone. The
thickness of these sediments could reach 50m along riverbeds. Kurkar Groupof Pleistocene
age consists of marine and eolian calcareous sandstones named “kurkar”,
some reddish silty-clayey “hamra”, silts, clays, loose sands, loam and
conglomerates. These rocks outcrop along the coastline as a narrow strip
up to 5 km wide, covering the Coastal Plain and the Israel Continental
Shelf representing 5-7% of the area investigated. The Kurkar Group is
characterized by two different representative provinces. The western
province is represented by calcareous sandstones (“kurkar”) with
intercalation of clayey-silty sandstones (mostly “hamra”) and finer
grained sediments. This unit covers the Coastal Plain and Continental
Shelf. The eastern province is subdivided into three sub-units including
the Rehovot Fm. (hamras, sands eolianes and some shales); Ahuzam Fm.
(conglomerates); and Pleshet Fm. (marine calcareous sandstones). The
thickness of the Kurkar Group varies from 180-200m near the shoreline to
100-120m at a distance of 5-7 km from the coastline. The Kurkar Group
unconformable overlays the clays of the Yafo Fm. of Pliocene age.
In the area from Binyamina to Haifa (The Hof-
Ha-Carmel area) the geological structure is considerably different. Here,
the Kurkar Group, with a thickness of approximately 50 m near the
coastline, wedges out eastward overlying the Turonian-Cenomanian
carbonates. In
Table 1
we present the
basic geological and lithological characteristics of the sedimentary rocks
exposed in the investigated area.
For estimating dynamic
characteristics of surface layers in our investigations in the
Coastal Plain we used Nakamura’s technique. By Nakamura, vertical
component of ambient noise maintains the characteristics of source
to sediments surface ground, is relatively influenced by Rayleigh
wave on the sediments, and can, therefore, be used to remove both
the source and the Rayleigh wave effects from the horizontal
component and identify fundamental resonance frequency and
amplification factor of sediments. Comparing H/V ratio of
microtremors with H/V of Rayleigh wave, some theoretical studies
have concluded that the peak H/V could be explained with the
fundamental mode of Rayleigh wave (for example Lachet and Bard,
1994). Nakamura demonstrates that the H/V peak of a microtremor is
explained with multiple refracted vertical incident SH waves, while
amplitudes of horizontal and vertical components of Rayleigh waves
around the peak frequency of H/V are very small, almost zero. As for
the maximum energy of Rayleigh waves, it is high in the trough of
the H/V ratio.
Microtremors, by Nakamura, can
be divided into two parts since they contain Rayleigh and other
waves. Then, horizontal and vertical spectra on the surface of the
sedimentary basin can be written as follows:
Hf =
Ah*Hb
+ Hs; Vf =
Av*Vb + VsWhere
- Ah and Av are
amplification factors of horizontal and vertical motions of
vertically incident body waves; - Hb and
Vbare spectra of horizontal and vertical motion
in the basement of the basin; - Hs
and Vs are spectra of horizontal and vertical directions of Rayleigh
waves.
If there is no effect of
Rayleigh waves, Vf ≈ Vb.
If Vf >Vb,
it is considered as the effect of surface waves.
Estimating the effect of Rayleigh waves asVf / Vb,
horizontal amplification can be
written as,
Th* =
=
=
where,
Quasi
Transfer Spectrum (QTS)
=
=
In this equation
Hb/Vb ≈ 1. Hs/Hb
and Vs/Vb are related to the route of
energy of Rayleigh waves. If there is no influence of Rayleigh
waves, QTS=Ah/Av. If amount of the
Rayleigh wave is high, then QTS=Hs/Vs
and the lowest peak frequency of Hs/Vs
is almost equal to the lowest proper frequency Fo of Ah. In
the range of Fo, Av=1. Even when the influence of
Rayleigh waves is considerable, Vs becomes small (which results in a
peak of Hs/Vs) around the first proper
frequency due to the multiple reflection of horizontal motions. And
if microtremors of the basement Vb are relatively
large compared to the Rayleigh wave, QTS=Ah. Thus,
QTS represents the first proper frequency due to multiple reflection
of SH wave in the surface ground layer and the resultant
amplification factor, regardless of the influence degree of Rayleigh
waves.
Nakamura concludes that for
microtremors consisting of both body and surface waves, if we
calculate the Hs/Vs ratio first order proper frequency and its
amplification factor can be calculated correctly.
Our observation of
microtremors was carried out from November 2001 to May 2002.
Ambient noise measurements were carried out at 190 points
in different lithological units in the coastal area between
Ashqelon and Haifa. The distribution of the Points for
microtremor recording was based on the surface geological
formation map
(see Fig. 1).
We planned 22 measurement
lines from Ashqelon (N: 121049) to Haifa (N: 246600) so that
18 of them would be perpendicular the coastline and intersect
the different geological units that may amplify seismic waves
and three lines along the coastline. The distance between
lines was approximately 5km. Most of the stations are located
close to boreholes. The number of stations distributed along
each line and the distance between them depended on the
spatial distributions of the geological units and the
availability of borehole data. Distribution of investigated
sites is shown in
Figure 1.
The acquisition equipment includes: 12-channel amplifier with a band pass filter
0.2‑25 Hz, GPS (for timing) and a laptop computer with
analog-to-digital conversion card. Digital recordings were
made with a sampling rate of 100 samples per second. The
recorder has 16-bit data word. Digital seismic data
acquisition system designed for site response field
investigations (Shapira and Avirav, 1995). The seismometers
used are sensitive velocity transducers with a natural
frequency of 1.0 Hz and damping at 70% of critical. Each of
the stations is equipped with one vertical and two horizontal
seismometers (oriented north-south and east-west). The
seismometers were installed on leveled metal ground plates and
connected to the data acquisition system via cables. At each
site microtremors were recorded continuously for 1-1.5 hour,
creating data files of 3 minutes each of microtremor data. All
the equipment – sensors, power supply, amplifier, personal
computer and connectors - were installed in the vehicle, which
also served as a recording center. Information on the
superficial geology of the sites where the stations were
installed and recoding times are listed in Table A1. In
Figure 2 we present pictures of the locations of the seismic stations
during the site investigations.
The empirical methods that we implemented to evaluate the site response are based on the
H/V spectral ratios of selected time windows of recorded
ambient noise. The selected time windows were Fourier
transformed, using cosine-tapering (1 sec at each end) before
transformation and then smoothed with a triangular moving
Hanning window (0.5 Hz). In the analysis the selected time
windows is 30 sec., however, we experimented with a range of
values in order to find the window length that gave
satisfactory resolution of the peak being studied but was
still stable in frequency. After several tests, we concluded
that a window 30 sec in length provides stable results. The
selected time window was free from recordings of passing
vehicles, noticeable harmonic noise from nearby machinery,
spiky data and other transient signals. The
horizontal-to-vertical spectral ratio [AH/V(f)] was
obtained by dividing the individual spectrum of each of the
horizontal components [SNS(f) and
SEW(f)] by the spectrum of the vertical component
[(SV(f)]. To obtain systematic and reliable results
from the spectra of microtremors, we used several time windows
that yield a number of spectral rations that, in turn, were
averaged. We also experimented with computing the average of
the spectral ratios and found the differences to be
negligible. The average of the two horizontal-to-vertical
ratios is defined as the site amplification
function:
The stability results
obtained from microtremors must be confirmed before
interpretation of microtremor data. We studied (Zaslavsky and
Shapira, 1998, Zaslavsky et al., 2001) the evolution of the
horizontal-to-vertical spectral ratios during the day taking
different observation intervals, different days and months and
concluded that the dominant frequency and its amplitude are
stable. Examples of the spectral ratios obtained at Point 4
from microtremors recorded in October 2001 and
January 2002 are shown in
Figure 3. The shape of all
average curves is similar. The dominant feature of the
spectral ratios is a maximum in the frequency range
3.5-3.8 Hz with an amplification factor of about 4.5. In
spite of the difference in the location of the fundamental
frequencies, the general shape of spectral ratios for NS and
EW components do not differ significantly. For that reason, we
base our discussion of the average spectral ratio computed for
two horizontal components.
Our observations revealed consistent and clear peaks of
spectral ratios, which we could trace from site to site. We
would like to demonstrate two cases that may produce them.
Figure 4 illustrates the character average spectra of
microtremors recorded at Point 65-3 and its
horizontal-to-vertical spectral ratios. An increase in the
spectral levels of the horizontal components is clear in
frequency range from 2.5 to 3.0 Hz, while the spectrum of
vertical component is flat. Therefore, spectral ratios show a
prominent peak at about 3.0 Hz with an amplification of
about factor 3. In the second case
(Figure 4), if we
compare the average spectra horizontal and vertical motions at
Point 51, we can see that in the vertical spectrum there
is a narrow-bandwidth trough at frequency near 1.5 Hz.
Hence, the general character of the spectral ratios is clear
amplification at a frequency of about 1.5 Hz.
Consequently, the high levels of amplification obtained from
H/V spectral ratios are controlled not only by peaks in the
spectra of the horizontal components but also by
narrow-bandwidth “holes” (troughs) in the spectra of the
vertical components.
On the other hand, for a few sites the spectral ratios
does not exhibit a clear peak and the predominant frequency
(the frequency at which maximum amplification is reached) is
very difficult to identify.
Figure 5 shows examples of
the average spectra for the three components and their H/V
spectral ratios. The general character of these spectra is
that spectral levels for horizontal components exceed the
levels for the vertical component within broadband
frequencies.
The large “amplifications” that we can see in spectral ratios in
the frequency range from 4.0 to 8.0 Hz is difficult to
explain. One possibility is that a cultural feature of some
sort may have affected the signal of horizontal motion at this
frequency range.
In
Figure 6, we plotted the spectral ratios for
the three points located on kurkar. These figures demonstrate
that the scatter between individual curves is high but the
variations in the averaged functions are small. From all
average functions of the spectral ratios it may be concluded
that in the frequency range 0.6 Hz to 10 Hz transfer
functions are flat with unit amplification, i.e., there is no
site effect.
Microtremor H/V spectral ratios for two sites (Points
49 and 50) composed by unconsolidated sediments with thickness
varying from 2 to 6m to bedrock are shown in
Figure 7. The
bedrock consists of kurkar. These figures demonstrate
similarity among the individual functions. The average
spectral ratios (response functions) are flat in the frequency
range 0.6 to 10 Hz. Consequently these observations show
that there are no site effects at Points 49 and 57.
Examples of the individual and average H/V spectral ratios for two
neighboring points are displayed in
Figure 8. We can see that
parameters of site effects are remarkably robust: differences
in the location of the fundamental frequencies and
amplification level are small. These findings significantly
increase the reliability of the information obtained and
emphasize the importance of a dense grid of observation points
in microzoning studies.
Horizontal/vertical spectral ratios at Points 4, 27 and 134 are shown in
Figure 9. At these sites,
the soil profile is very simple, namely“basement rock”,
consisting of kurkar underlying the soft layer represented by
clay, sand and silt (hamra). As shown in
Figure 5, H/V ratio
at Point 4 shows a very clear peak at frequency 3.3 Hz. On the
other hand, at Point 134 the H/V does not show a well- defined
peak at about 2 Hz. It should be noted, that the S-wave
velocity for kurkar is about 1100 m/sec, 900 m/sec
and 700 m/sec at Points 4, 27 and 134, respectively.
Using these examples we could illustrate that we obtain much
clearer and more stable characteristics of H/V spectral ratios
at points where a good S-wave velocity values contrast between
the surface soft soil layer and the basement layer is
observed. It is understood that microtremor H/V spectral ratio
techniques do not clearly define the fundamental resonant
frequency of sedimentary deposits if the shear-wave velocity
of a deposit layer with respect to the shear-wave velocity of
the half space is less than 0.5.
Figure 10 illustrates the
site response at four sites (Points 47, 84-1, 90 and 127)
where the contrast between rock and soil is low (<2.5).
Examining the shapes of the amplifications, it can be
realized that
response is almost flat over the entire frequency range and
does not show a predominant frequency. In contradiction, in
Figure 11 H/V spectral ratios for four sites (Points 72, 89,
69 and 65-B) with low contrast are also shown. Well defined
peaks with lower amplifications (values 2 between 0.9 and 1.9
Hz) are quite clear in this figure. The observed amplitude
variation is small.
The average Fourier spectra for three components and
individual and average (NS and EW components) H/V spectral
ratios at Point 82 are shown in Figure 12. This site has a
soft soil profile in the uppermost surface layer and a very
clear contrast between soft soil layers and basement soil
layers.
Figure 12 reveals that the peak we found stable
within H/V ratio is localized by a narrow-bandwidth trough at
frequency near 2.0 Hz in the vertical spectra as well as high
in the horizontal spectra near 2 Hz.
In
Figure 13 we present average Fourier spectra for
three components motion of microtremors recorded at Points 85,
93 and 99. In all horizontal spectra there is a dominant
frequency that may be associated with the resonance frequency
of the sediments layers. The important point here is that the
spectral levels for vertical components are smaller than
spectral levels for the horizontal components within the
frequency range 1 to 10 Hz. Therefore, the
horizontal-to-vertical spectral ratios in
Figure 13
overestimate the spectral ratio evaluated by a
frequency-independence factor of about
1.5-1.7.
Figure 14 shows observed horizontal-to-vertical
spectral ratio obtained from ambient noise recorded at
Points 85-1 and 85, which are only 150 m apart.
These sites demonstrate the great variability in site response
possible over very short distances. Spectral ratios for Site
85 are flat with no amplification while average spectral ratio
of Site 85-1 shows a prominent peak at 1.2 Hz with
amplification factor up to 8.
For preparation of earthquake damage scenarios the
necessary is information about modification of ground motion
by site condition. The ground shaking characteristics,
resonance frequencies and amplification factors, obtained from
the microtremor observations across the investigated area are
summarized in
Table 2. From this data set we are able to
mapthe Coastal
Plain area: the map of distribution of fundamental frequency
of resonance
(Figure 15) and map of distribution of maximum
relative to the rock amplifications
(Figure 16) in the region
of interest. Clearly, the main geological structure is reflected in the measurements
result:In
the southern part of the area (from Ashqelon to Binyamina)
dominant
frequencies reach 3 Hz on the sand
along the beach and decrease to the west up to 1.0 Hz
correlating with the thickness of the sedimentary deposits. In
the northern part of the area (from Binyamina to
Haifa) the sediments present a predominant frequency of 2-6 Hz
suggesting that the sedimentary cover is rather thin.
Amplification map of the Coastal Plain reveals two
geographical zones differentiated by amplification values. In
the southern part sand dunes and alluvium sediments of
Holocene age over the Kurkar Group do not show a strong
contrast. Therefore, most of examined sites are associated
with amplification factors between 2-3 and only some sites
reveal amplifications between factors 3-6. In the northern
part silts, clays, loose sands, and loam of the Kurkar Group
over the Turonian-Cenomanian carbonates show a strong contrast
and cause amplification factor up to 7.
The assessment of
site amplification is made from horizontal-to-vertical
spectral ratios. It is commonly agreed that H/V ratios
obtained from microtremors reveal the fundamental mode of
vibrations. In order to obtain a more general representation
of the site response function we computed one-dimensional
models. The mechanical characteristics at our sites are not
very well known so the numerical techniques were applied
starting from a trial model. For the theoretical transfer
functions calculations we used Joyner’s program for non-linear
site response determination (Joyner, 1977).
During the initial
phase of compilation and summation of geothechnical
information we gathered detailed surface geology (Sneh A. et
al., 1998), borehole information (Atlas of Geological
cross-sections, 1999; Lithological Borehole Data, 2001), as
well results of interpretation of seismic refraction surveys
carried out in the Sea Coast and Hashephela areas (Stivelman,
1994, 1998; Ronen Amit, 2001; Bek A., Kravzov. A., 1998 and
others).
Our attempts to use information from the map of
sediment thickness at the Coastal Plain (Kravtsov at al.,
1997) did not yield satisfactory results. Thus, for example,
at Point 130 situated at the Or Yehuda 29/5 borehole, the
refractor is found at a depth of 17m, which coincides with the
water level within the homogeneous layer of clay (see
lithological cross- section in
Figure 17a). However, the
subject of our investigation, i.e. shear-wave velocity
contrast, is not related to water level. According to our
measurements a half-space is revealed at a depth of 20m lower
than that obtained by the refraction survey. We observed a
similar situation at Point 69, located at the Nordia 45/3
borehole. There the refractor was detected at a depth of
approximately 40m within the layer of loamy sand, while from
our measurements the refractor top is defined approximately
35-40m deeper
(see Fig. 17b).
Information on S-wave velocities
used for trial numerical models of subsurface was obtained
from refraction surveys data and summarized in
Table 3 In
order to collect additional information about geotechnical
parameters in the Coastal plain area, more than 230 oil and
gas boreholes have been inspected. Owing to lack of core data
we could not use them in our study. Many of the inspected
boring logs contain just a few data of interest. For example,
we found only one borehole (Suzie 12), where density logging
above 100m depth is available. Natural radioactivity, sonic,
neutron log data are available in three boreholes in the upper
part of the section. To obtain density and P-wave velocity of
rocks three boreholes were involved in the processing of log
data. Density could be calculated by porosity, which in turn
is determined by sonic and radioactivity logging. P-wave
velocity is calculated by sonic log. It should be noted that
S-wave velocity values were estimated on the basis of P-wave
velocities using Vp/Vs ratios obtained from the seismic
refraction method data
(see Table 3). The results of the
logging data interpretation at borehole Ashdod-1 are presented
in
Figure 18 and
Table 4.
We can see that velocity values
derived by logging are consistent with velocities obtained
from refraction serveys presented above in
Table 3.
Development of an analytical site response function is an
important component in the evaluation of seismic hazard in
terms of Uniform Hazard Site-Specific Acceleration Spectra.
Based on the site response measurements, surface geology
information and borehole data, considering velocity and depth
maps and seismic survey refraction data, we compiled numerical
models of the subsurface. Information about lithology and
depth of layers at sites situated close to or at boreholes
were taken from “ATLAS of cross-sections”, 1999 and
Lithological Borehole Data, 2001. The shear-wave structures
for different layers were deduced by trial-and-error fitting
of observed and theoretical transfer function.
Figure 19a
shows the comparison of analytical and empirical response
functions at Point 123 (Yehoshua well) together with the
corresponding lithological cross-section. As The initial range
of S-wave velocity values for model development were taken the
results of refraction surveys
(see Table 3). In
Table 5 we
present a three-layers model for Point 123 derived by
trial-and-error procedure of adjusting the analytical response
functions to empirical one.
Suggested S-wave velocities yield
satisfactory agreement between fundamental resonant frequency
and maximum amplification of the model and experimental
function.
The fitting procedure was repeated retaining
velocity values derived from modeling at the previous Point
123 for some other sites situated close the borehole.
Figure 19b and
Table 6 display such an example for Point 58. S-wave
velocities for loamy sand, loam and calcerous sandstone are
taken from model described above, while for the layer of sand
we fitted a value of 200 m/s.
Another type of model, for which
the bedrock is represented by limestones with S-wave velocity
ranging, depending on its location, from 900 to 1100 m/s, we
propose for Points 144, 147, 20-22 (Ashdod), Delek (Tel-Aviv)
and for Points 64-70 situated in the Netanya area. Suitable
models in comparison with experimental ratios and their
parameters are shown in the
Figures 20a,b and in
Table 7. Our
conclusions regarding higher Vs velocity of kurkar in the
Tel-Aviv area are in agreement with the refractor velocity
obtained from the refraction survey carried out at the
Tel-Aviv Power Station, that is 1170 m/s. For Point 147
situated in the Ashdod area, only assuming as bedrock the 40m
thick layer of limestone bedding at a depth of 115m, we
obtained modeled frequency and amplification close to the
measured ones
(see Table 6 and
Fig. 21a,b). It is interesting
to note that using clay underlaying the limestone at a depth
of 155m as half-space, we also obtain a good agreement (see
Figure 21b). This result confirms our assumption that just a
layer of limestone 40m thick provides the shear-wave
reflection . In
Figure 22a we demonstrate an example of a
model in which the 18m thick layer of kurkar cannot be
considered as a halfspace, while the clay of the Yaffo Fm.
gives a good similarity between analytical and experimental
functions (see Table 6 for parameters). Conditions where clay
appears as a half-space were observed in the eastern part of
the investigated area where the kurkar is thinning.
For the
Carmel coastal area, where the loose sediments overlaying the
kurkar bed on the Turonian-Cenomanian carbonates and
distinguished owing to the high level of amplifications and we
present the following two examples: At Point 82c sediments and
kurkar rest on dolomites, while in the case of Point 90-1 the
bedrock is chalk. Geotechnical parameters used for model
construction are shown in
Table 5, average spectral ratio and
analytical model are displayed in
Figures 22b, c.
The
shear-wave structures for different sediments deduced by
trial-and error fitting of observed and theoretical transfer
functions helped to adjust the thickness of the sedimentary
layers at locations where no borehole information is
available. The geotechnical parameters, which, in turn, were
used to compute the Uniform Site-specific acceleration
spectra, are summarized in Table A2 (see Appendix A).
Site Response
Function determination is an important stage in the overall
process of seismic hazard assessment despite the fact that the
function itself has no direct engineering application. In
order to estimate the ability of buildings at a certain site
to withstand seismic activity, we need to obtain the
site-specific acceleration spectrum. This design acceleration
spectrum is essentially a representation of the maximum
acceleration amplitudes, for a prescribed probability of
occurrence, developed on a set of one degree of freedom
oscillators with a given damping ratio.
Since the seismic
activity in areas like Israel is low, local acceleration data
from strong earthquakes is insufficient to estimate directly
the design acceleration spectrum, therefore, we must resort to
the use of synthetic data. For this purpose Shapira and van
Eck (1993) developed the SEEH method (Stochastic Estimation of
the Earthquake Hazard) which is based on the generation of
synthetic seismic events using events assembled in simulated
earthquake lists and local seismological characteristics such
as mechanism and strength of the event, epicenter location,
mechanical and dynamic characteristics of the propagation
paths etc. (Shapira and Hofstetter, 1993; Shapira and Shamir,
1994; Hofstetter, 1996;Shamir et al 2001). So, the regional
information is used to synthesizing many accelerograms for the
surface of the underlying bedrock and then they are convolved
with the response function of the site under investigation, to
yield the expected accelerations on the free surface of that
site. The final result of the application of the SEEH method
is the uniform hazard, site specific acceleration spectrum for
the investigated site in which the same probability of
occurrence applies to each point. This design acceleration
spectrum is calculated for a different probability of
occurrence over different period of years with different
damping ratio.
The basic input parameters of optimal
analytical models used in stochastic simulations are presented
in Table A2. As previously mentioned, based on the analysis of
the observation site response, it is suggested that the
coastal plain area be divided into two regions, each of them
characterized by an amplification factor. The Uniform hazard
site specific acceleration spectra for the two regions was
computed for a probability of an exceedence of 10% during an
exposure time of 50 years and a damping ratio of 5%. We used
70 and 35 analytical response functions for southern and
northern zones, respectively. The results of our computations
are shown in
Figures 23 and
24 . We can see that the scatter
between acceleration spectra calculated for different sites is
very high. Comparison of the acceleration spectra curves shows
that the maximum of spectral acceleration changes from 0.12g
to 0.42g for the southern zone and from 0.16g to 0.6g for the
northern zone of area. On the other hand, the scatter of peak
ground acceleration (PGA) is small. Therefore, buildings built
on soft soil may be subjected to seismic forces several times
larger than similar buildings built on rock, if the peak
ground acceleration is the same in both cases.
In the
corresponding National Earthquake Hazard Reduction Program
(NEHRP) recommended for seismic regulations for new buildings
and other structures (USA Seismic Code, 1997) a new design
response spectrum curve will be developed based on two
fundamental parameters: SDS – the design spectral response
acceleration at short period (T0=0.2 sec) and SD1 – the design
spectral response acceleration at 1 second. Therefore, in
Figures 25 and
26 spectral acceleration maps with 10%
probability of exceedence in 50 years (damping ratio 5%)
calculated for 0.2 sec and 1 sec are plotted.
In order to
facilitate earthquake hazard assessment in terms of the
Uniform Hazard Site-specific Acceleration Spectra for the
Coastal Plain, we divided the investigated area into six zones
based on the distribution maps of fundamental frequency and
amplification factor
(see Fig. 27). We constructed soil-column
model, based on microtremor recordings, geological,
geotechnical and borehole information, for each zone. The
model was obtained using cluster analysis and robust
statistical approach. The parameters obtained are presented in
Table 7.
For verification of suggested generalized models we
compared Spectral accelerations computed using averaged models
and models calculated for some individual measurement points
located within each zone with different geographical
coordinates.
The Uniform Hazard Site-specific Acceleration
Spectra were computed for a probability of exceedence of 10%
during an exposure time of 50 years and a damping ratio of 5%.
For Zone 1 the site-specific acceleration response was
calculated under the assumption that there are no site
effects. The results of the comparison are plotted in
Figure 28.
Locations of selected for comparison points are shown on
Figure 27. We can see that in the majority of cases the
difference between spectral acceleration computed using
generalized model and acceleration computed for individual
sites does not exceed 15%. Thus we concluded that the proposed
generalized models, which encompass the gross features of the
geology, incorporate borehole data and geophysical
information, can be useful for making regional hazard
decisions.
Local site condition
maps are major factors in preparing earthquake damage
scenarios. In-situ measurements with controlled-source seismic
methods allow one to image the subsurface structure. However,
it is, in general, not possible to carry out such measurements
in regions where the seismic activity is relatively low, as in
Israel. We therefore focused on microtremor measurements. We
computed horizontal-to-vertical spectral ratios (Nakamura’s
ratio) over 190 sites across the Coastal Plain between
Ashqelon and Haifa.
The estimation of ground motion
amplification at resonance frequency using different
techniques is very controversial, with some authors achieving
good results while others find no correlation between the
different methods. Based on measurements of explosions,
earthquake and ambient noise by reference and non-reference
techniques, Malagnini et al., (1996) showed that the use of
microtremors (Nakamura technique) failed to identify both the
resonance frequency and its amplification. Nevertheless,
Seekins et al., 1996, showed that horizontal-to-vertical
spectral ratios obtained from microtremors agree better with
sediment-to-bedrock spectral ratio from S-wave than the
microtremor ratio with respect to the reference site.
Moreover, Meneroud et al., (2000) show that H/V ratio from
microtremor measurements is very successful and gives the same
results than more expensive and time consuming methods.
During
the last decade, more than 50 sites in Israel have been
investigated in an attempt to estimate the possible
amplification of seismic ground motion (Shapira et al., 2001;
Zaslavsky et al. 2002a; Zaslavsky et al., 2002b). We used
various empirical methods to study the site response,
including reference and non-reference techniques as well as
different sources of excitation – earthquakes, explosions and
ambient noise. Our results obtained from many case studies
show that the Nakamura’s method predicts amplifications, in
addition to the fundamental frequency, that are similar to
those that estimated from earthquake data and modeling
techniques.
We should emphasize that there were cases in which
the Nakamura’s technique failed to yield conclusive results.
This often happens when the ratio of the shear-wave velocity
of the soil to the shear wave velocity of the underlying half
space (bedrock) is higher than 0.5-0.6 (amplification up to a
factor of ~2) or when we are dealing with a complicated 3D
structure of the underlying geology. Other examples are
associated with poor excitation of the soil column due to
weakness or remoteness of the microtremor sources. Thus, in
many cases, this poor behavior of the Nakamura method could be
foreseen and other methods should have been used. In other
cases, when the situation is better suited to the feasibility
of the method, the results showed great similarity to the
results obtained by other techniques and, thus, provide useful
feedback to improve the reliability of the experimental
results. In rare cases, the Nakamura technique even provided
estimations of higher harmonics of the resonating soil column.
Analysis of the site response of 190 sites located in the
Coastal plan area reveals two geographical zones
differentiated by amplification levels. The first zone is the
Ashqelon-Binyamina zone (the central Coastal Plain) and the
second zone is the Carmel zone (northern Coastal Plain). Using
results of microtremor analysis we established that in the
central region of the area investigated (Ashqelon-Binyamina)
the reflector (half space) is calcareous sandstone of the
Kurkar Group, but not clay of the Top Yaffo Fm. as was assumed
anteriorly according to geological information. Loose
sediments overlaying calcareous sandstone form impedance
contrast in this region.
Fig. 29 presents a geological
cross-section showing the subsurface structure along Line 6
situated in the Ashdod area. The dominant frequency along this
profile decreases from 2.7 Hz (sites 20 and 21) to 1.7 Hz
(Site 147) related to the thickness of the loose sediments
represented by sand dunes and loam. At Points 22 and 147 we
observe a relatively high amplification factor. This
observation could be associated with the thickness of alluvium
sediments accumulated along the Lakhish paleo riverbed and can
reach 50m. To the east along the profile, amplification
decreases to factor 1 (no amplification) that could be
connected with outcropping of Kurkar and/or facies
substitution of calcareous sandstone by loose sand and sandy
loam (Rehovot Fm.) with no impedance contrast between the
surficial and underlying beds. Based on our noise
investigation we corrected the relief of the bedrock near
Points 21 and 22 as shown on Fig. 29 by the red line.
On the
geological cross-section located north of the Tel-Aviv area
(see Fig. 30) we observe the increase in sedimentary thickness
from 5-10m at the shore line up to 50-70m to the east. This
increasing thickness is detected by the measurements, namely,
by a dominant frequency decreasing from 3.4 Hz at Point 58 up
to 1.6 Hz at Point 60. Higher amplifications up to factor 4-5
were observed at the Yarkon riverbed and could be explained by
a consolidation of sandstone along the riverbed and its facies
substitution by limestone. The Carmel coastal zone is
distinguished on the amplification map owing to its higher
level of amplification values (up to 7). As seen in the
geological cross-section along the Carmel coast
(Fig. 31), in
the southern part of the profile (sites 131 and 132) loose
sediments overly the calcareous sandstone, i.e. we have the
geological conditions described above in the central region.
Close to Binyamina a deep-seated transverse fault was mapped.
To the north of this fault, according to our observations, the
reflector (half space) in this region is correlated to the
hard carbonates of Top Judea Group. The calcareous sandstone
exposed along the coastline yields amplification less than
factor 2. Higher levels of amplification from factor 4 up to
factor 7 were observed in the Carmel Coastal Plain where 15-35
m thick silt together with calcareous sandstone overlays dense
dolomites and chalks. The prevalent frequency in Carmel
Coastal Plain area is 2-3 Hz. The increase in dominant
frequency to the north is related to the thinning of the
sedimentary cover (site 86) and/or the lithological
composition of sediments.
Generally, theoretical site response
requires input local geology data of spatial distribution of
soft materials above the hard bedrock in terms of densities
and shear velocities or equivalent parameters. In many cases
the complexity of actual conditions and the uncertainties
associated with interpreting indirect measurements, limit the
availability, quality and reliability of these data (see also
Boor and Brown, 1998); hence, different possible 1D models of
the subsurface based on the same geological and geophysical
observations, may yield analytical functions that are very
different from those obtained empirically. As demonstrated in
Figure 32, there is a difference between the theoretical
transfer function derived on the basis of available
information about subsurface structure at Point 59 and the
response function obtained from measurement data. It is
strongly recommended that prediction of earthquake ground
motions be obtained by combining different empirical
approaches, supplemented with geophysical and geological
information. If a model is required for estimating nonlinear
strong motion effects, the empirical results can be utilized
to select a plausible geological model that yields agreement
with the empirical determination at weak motion levels.
Local-scale uniform seismic hazard site-specific acceleration
spectra maps are an important component of loss estimation,
because they provide information on possible site effects. In
recent studies (Boore and Joyner, 1997; Boore, 2000) a new
definition of site classes and empirical amplification factor
characterized by average shear-wave velocity in the upper 30m
is given. The site characterization is now dependent only on
the top 30m of soil disregarding the soil properties below 30m
and that of the rock underlying the soil. Therefore, the site
characterization is dependent on single parameters.
Figure 33
shows examples of Site-specific acceleration spectra for two
sites obtained by Stochastic Estimation of the Earthquake
Hazard method (SEEH) developed Shapira and van Eck (1993)
superimposed on pseudo-acceleration response spectra for the
random horizontal component (Boore and Joyner, 1997). The
computations were made for M=6.5, distance 70km and shear-wave
velocity V30=250 m/sec. The shapes of the spectra obtained are
significantly different from the ones prescribed by the
average shear-wave velocity in the shallowest 30m and SEEH
method based on convolution of the synthetic acceleration with
the response function of the site. Note, however, that the PGA
values are very similar.
The experiment
discussed in the present study had the following goals:
- in
situ site effect estimation in the Coastal Plain area between
Ashqelon and Haifa using the microtremor measurements of
ground motions;
- improving theoretical site response
determinations by comparing the empirical and the analytical
assessments, selecting parameters of the soil column models
for satisfactorily predicting the transfer function by
multi-layer 1-D models when linear behavior of the soil is
assumed;
- evaluating site-dependent seismic hazard in terms
of ground motion parameters used for engineering applications.
The conclusions may be summarized as follows:
1. The selection
of an appropriate ensemble of windows of microtremors for
horizontal-to-vertical spectral ratios facilitates successful
removal of time-variant source effects. In the studied area
the ground motion amplifications are of factor 2-7 over the
frequency range from 1 to 6 Hz. The amplification obtained by
H/V ratios may be explained not only by peaks in the spectra
of the horizontal components but also by trough in the spectra
of the vertical component.
2. The soil profiles at the
investigated sites are very different. Some sites have simple
profiles in the uppermost surface layer and very clear
contrast between the soft soil layer and half-space rock
layer. Other sites have complicated surface soil layers
structures, less distinct contrast between the surface soils
and underlying Vs reflector. In many cases our attempts to
estimate depth to the half-space from borehole data failed.
Only when the distribution of the predominant frequency and
maximum amplifications maps were constructed, were strong
correlation between features of geological structure and
measurement results revealed:
a) The 1.2-3.5 Hz ratio pattern
and amplification factor 2-3 matched loose deposits lying on
kurkar of 10-50m thick. The bedrock represented by limestone
with shear-wave velocities of 900-1110 m/s can increase
amplification up to factor 6 in the frequency range 1.2-3.5
Hz.
b) In the Carmel coast loose sediments and kurkar with a
total thickness of 15-35m overlaying carbonates of the Top
Judea Gr. can yield amplification factor up to 8 at
frequencies of 2-3 Hz.
c) Thinning sedimentary thickness
causes increase in the dominant frequency up to 6 Hz. Such
frequencies are observed in the northern part of the Carmel
coastal area.
d) We observed that the site response is almost
flat over the entire frequency range and does not show a
predominant frequency in cases where the kurkar is resting on
clays of the Yafo Fm., or loose deposits a few meters thick
overlay kurkar.
e) Locally enhanced amplification (factor 3-6)
along river beds could be interpreted as an indication of
consolidation of sandstone and its facies substitution by
limestone.
3. Numerical methods for estimating site effects
required the characterization of the geotechnical properties
of the area. The specific parameters used for such analysis
are shear-wave velocity, density, damping and thickness of
each layer. The main disadvantage of these methods is the
relatively high cost in conducting the necessary geotechnical
or geophysical studies and the inherent uncertainty of the
data. The joint application of analytical and empirical
techniques for assessing soil response functions can provide
useful feedback to improve the reliability of the obtained
results. A detailed comparison of the analytical and empirical
values constitutes a low-cost, efficient and fast procedure in
order to establish the spatial dependence of both suitability
and reliability of the method, improvement of models assumed
and delimitation of those areas for which in-depth surveys are
needed for proper assessment of soil response.
4. It is very
important to derive the ground shaking characteristics,
resonance frequency and amplification factor in order to
estimate the dynamical behavior of structure for seismic
resistant design and for the damage assessment due to future
predicted earthquake. Microtremors studies with
horizontal-to-vertical spectral ratio can yield relevant
information to the field of earthquake hazard assessment and
microzonation. This is especially true given the lack of
alternative economic and time-saving method available for
characterizing site response in regions with low levels of
seismicity.
5. The hazard maps presented here in terms of
Uniform Site Specific Acceleration Response Spectra may be
useful for land use planning or for making regional hazard
mitigation decisions. The use of these maps in loss estimation
can help state and the authorities to set priorities in
managing enforcing building codes, conducting seismic
strengthening programs for existing structures, and planning
for emergency response and long term recovery.
Our cordial thanks
for the financial support of the Steering Committee for the
National Earthquake Preparedness and Mitigation.
We are most
thankful to Dr. A. Hofshtetter and L. Fleisher for fruitful
discussion.
Thank are also due to I. Chelinski, D. Artzi and
Y. Menahem for their assistance in preparing this report.
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2001. ñ÷ø øôø÷õéä ñééñîéú òí âìé ìçéöä åâìé âæéøä áàúø úçðú äëåç
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æñìáñ÷é, é., 1996. ç÷ø àúø áòæøú ñ÷øéí âéåôéñééí áàéæåø
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ðúåðéí ìéúåìåâééí á÷éãåçéí , îùøã úùúéåú; äîëåï äâéàåìåâé; äùøåú
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Figure 1 Geological map and locations of observation points
Figure 2 Locations of
the seismometers during various sets of site investigations
Figure 3 H/V spectral ratio from microtremors observed at
Point 4 at different times
Figure 4 Examples of average
Fourier spectra and H/V spectral ratios of microtremor ground
motion in different sites providing true evaluation of site
effects:(a) Point 65-3 and (b) Point 51
Figure 5 Examples of
average Fourier spectra and H/V spectral ratios of microtremor
ground motion in different sites providing false evaluation of
site effects:(a) Point 87; (b) Point 135 and (c) Point 140
Figure 6 Examples of individual and average H/V spectral
ratios for three points located on the kurkar outcrop
Figure 7
Individual and average H/V spectral ratios for two sites
located on thin unconsolidated sediments (thickness varying
from 2 to 6 m to bedrock).
Figure 8 Individual and average H/V
spectral ratios for two neighboring points
Figure 9 Examples
of individual and average H/V spectral ratios for three points
located on identical soil profile overlying the kurkar with
different S velocities:(a) VS=1100 m/sec; (b) VS=900 m/sec;
(c) VS=700 m/sec
Figure 10 Examples of individual and average
H/V spectral ratios for four points with low contrast
(VSrock/VSsoil<1.4)
Figure 11 Examples of individual and
average H/V spectral ratios for four points with medium
contrast (VSrock/VSsoil=2)
Figure 12 Example of localization
peak in H/V spectral ratios: narrow trough in vertical spectra
and high in horizontal spectra
Figure 13 Examples of average
Fourier spectra and H/V spectral ratios of microtremor ground
motions at different sites facilitating spectral ratio
estimates using the frequency-independents factor
Figure 14
Example of significant variation of site effects over very
short distances:(a) Point 85; (b) Point 85-1.
Figure 15
Distribution of the maximum amplification factor estimated
from the H/V spectral ratios of microtremors for the Coastal
Plain area
Figure 16 Distribution of the fundamental frequency
estimated from H/V spectral ratios of microtremors for the
Coastal Plain area.
Figure 17 Comparison between refractor
depth obtained by mapping the sediment refractor and well
section
Figure 18 Example of logging interpretation at
Ashdod-1 borehole
Figure 19 Comparison between experimental
and analytical response functions:(a) – for Point 123; (b) –
for Point 58.
Figure 20 Comparison of analytical and
experimental functions:(a) for Point 144; (b) – for Point 68.
Figure 21 Example of two possible models for Point 147 with
different half-space:(a) – limestone; (b) – clay
Figure 22
Theoretical response functions compared with experimental
spectral ratios:(a) - for Point 149; (b) – for Point 82C and
(c) – for Point p90-1 (Carmel Coast)
Figure 23 Uniform hazard
site-specific acceleration spectra for different sites in the
central Coastal Plain.
Figure 24 Uniform hazard site-specific
acceleration spectra for different sites along the Carmel
coast
Figure 25 Distribution of spectral acceleration at 0.2
sec for 10% probability of exceedence in 50 years and damping
ratio 5% in Coastal Plain area
Figure 26 Distribution of
spectral acceleration at 1 sec for 10% probability of
exceedence in 50 years and damping ratio 5% in Coastal Plain
area
Figure 27 Map showing zones division in the Coastal Plain
Figure 28 Comparison between site-specific acceleration
spectra computed on the basis of generalized models and models
calculated for individual sites
Figure 29 Geological cross
section along Line 6 (Ashdod area)
Figure 30 Geological cross
section along Line 12 (Tel-Aviv area)
Figure 31 Geological
cross section along Carmel coast
Figure 32 Difference between
analytical response functions for Point 59 calculated by
geological data and on the basis of measurements
Figure 33
Comparison of 5%-damped site-specific acceleration spectra for
two sites obtained by Shapira and van Eck method (1993) and
pseudo-acceleration response spectra for the random horizontal
component proposed by Boor et al., (1997). The computations
were made for M=6.5, distance 70 km and V30=250 m/sec
Table 1
Stratigraphic nomenclature of sedimentary rocks for the
Coastal Plain of Israel
Table 2 Dominant frequency and maximum
amplification factor at Coastal Plain
Table 3 Velocity
structure of the Coastal Plain obtained from seismic surveys
at different sites.
Table 4 Mechanical properties of the
different materials in the geotechnical model obtained by
logging at Ashdod-1 borehole
Table 5 Geotechnical model used
in theoretical site response estimation and comparison between
fundamental parameters of experimental and calculated response
function for Yehoshua well (Point 123)
Table 6 Optimal
geotechnical models used in the theoretical site response
estimation and comparison between fundamental parameters of
experimental and calculated response functions
Table 7
Parameters of the generalized soil-column models for the Zones
at the Coastal Plain