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Use of Seismotectonic Information for the Seismic Hazard Analysis for Surat City, Gujarat,
India: Deterministic and Probabilistic Approach
T. P. THAKER,1 GANESH W. RATHOD,1 K. S. RAO,1 and K. K. GUPTA1
AbstractSurat, the financial capital of Gujarat, India, is a
mega city with a population exceeding five millions. The city falls
under Zone III of the Seismic Zoning Map of India. After the
devastating 2001 Bhuj earthquake of Mw 7.7, much attention is
paid towards the seismic microzonation activity in the state of
Gujarat. In this work, an attempt has been made to evaluate the
seismic hazard for Surat City (21.170 N, 72.830 E) based on the
probabilistic and deterministic seismic hazard analysis. After col-
lecting a catalogue of historical earthquakes in a 350 km radius
around the city and after analyzing a database statistically, deter-
ministic analysis has been carried out considering known tectonic
sources; a further recurrence relationship for the control region is
found out. Probabilistic seismic hazard analyses were then carried
out for the Surat region considering five seismotectonic sources
selected from a deterministic approach. The final results of the
present investigations are presented in the form of peak ground
acceleration and response spectra at bed rock level considering the
local site conditions. Rock level Peak Ground Acceleration (PGA)
and spectral acceleration values at 0.01 s and 1.0 s corresponding
to 10% and 2% probability of exceedance in 50 years have been
calculated. Further Uniform Hazard Response Spectrum (UHRS) at
rock level for 5% damping, and 10% and 2% probability of
exceedance in 50 years, were also developed for the city consid-
ering all site classes. These results can be directly used by
engineers as basic inputs in earthquake-resistant design of struc-
tures in and around the city.
Key words: Seismotectonics, PSHAs, DSHAs, PGA,
Response spectrum, Earthquakes, Gujarat.
1. Introduction
Peninsular India (PI) has been considered to be a
stable continental region (SCR), which has, never-
theless, experienced many strong to moderate
earthquakes since the 18th century (RAO and RAO,
1984; RAO, 2000). Some of the major earthquakes
reported in PI include, the Mahabaleshwar (1764),
Kutch (1819), Dammoh (near Jabalpur, 1846), Mount
Abu (1848), Coimbatore (1900), Son-valley (1927),
Satpura (1938), Anjar (1956), Koyna (1967), Broach
(1970), Killari (1993), Jabalpur (1997), and recently,
Bhuj (2001) earthquakes. MANDAL et al. (2000)
highlighted that during the last four decades, PI has
experienced moderate seismic activity.
The city of Surat is located in Peninsular India on
the banks of the River Tapi. As of 2007, Surat and its
metropolitan area have a population of more than five
million people. In recent times, the city has emerged
as a hub for chemicals, minerals, textiles, engineer-
ing, oil and port based industries. Surat has
infrastructure and a conducive environment for
industrial growth making it one of the most indus-
trialized cities of India. Even for moderate
earthquakes, Surat is vulnerable due to the presence
of varied kinds of structures found on soft soils of
varying thicknesses. The seismic zoning map of India
(BIS: 18932002) marks the region in zone III, which
shows basic peak ground acceleration (PGA) of
0.16 g. Such a broad zoning is too simplistic because
seismic hazard is known to have considerable spatial
variability even at shorter wave lengths. Engineering
approaches to earthquake resistant structural design
will be successful when the forces due to future
shocks are accurately estimated at the location of a
given structure. Moreover, in an historic city like
Surat, it is not just new construction that has to be
designed safe, it is equally important to protect the
existing monuments, industrial and infrastructural
facilities. Considering all aspects, seismic studies
have become very vital for the region.
In this study, an attempt has been made to esti-
mate seismic hazard at bedrock level in terms of PGA
1 Department of Civil Engineering, Indian Institute of
Technology Delhi, Hauz Khas, New Delhi 110016, India. E-mail:
[email protected]; [email protected]; raoks@civil.
iitd.ac.in; [email protected]
Pure Appl. Geophys. 169 (2012), 3754
2011 Springer Basel AGDOI 10.1007/s00024-011-0317-z Pure and Applied Geophysics
-
and spectral acceleration (Sa) using state of the art
probabilistic seismic hazard analysis (PSHA). A new
seismotectonic map of the study area considering
350 km radius around Surat city has been prepared
for this purpose, which consists of the past earth-
quake data (collected from various sources and
available literature) and earthquakes associated with
these tectonic sources. Available earthquake data is
analysed statistically and a recurrence relationship
has been obtained using G-R (GUTENBERG and RICH-
TER, 1944) method. Bed rock level PGA and Sa
values at 0.01 and 1.0 s corresponding to 10% and
2% probability of exceedance in 50 years; have been
calculated for Surat city. Further, Uniform Hazard
Response Spectra (UHRS) at rock level for 5%
damping and 10 and 2% probability of exceedance in
50 years were also developed for the city considering
all site classes as per the National Earthquake Hazard
Reduction Program (NEHRP) (BSSC, 2001). These
spectral accelerations and uniform hazard spectra can
be used to assess the design forces and also to
develop the design spectra for important structures.
2. Study Area
The seismic zonation studies started in 1959 by
TANDON (1956) and KRISHNA (1959) demarcate areas
of potential earthquake damage in the Indian sub-
continent. The intensity-based mapping of the Indian
Subcontinent was presented by GUHA (1962) and
GUBIN (1968). The probabilistic seismic hazard
studies for this area were done by several researchers
including BASU and NIGAM (1977), KAILA and RAO
(1979), KHATRI et al. (1984), JAISWAL and SINHA
(2006, 2007) and VIPIN et al. (2009). The study area
considered for the present investigation covers an
area of 350 km radius around the city as per regula-
tory guide 1.167 (1997). Other details such as
regional geology and seismological details for the
study area have been collected from an extensive
literature review.
The study area consists of the centre point at Surat
city with latitude 21.17 N and longitude 72.83 E,with a radius of 350 km around. This area covers the
latitude from 18.00 N to 24.32 N and longitude of69.45 E to 76.20 E and covers a major part of
Gujarat state, southern part of Rajasthan, western-
central part of Madhya Pradesh and part of Maha-
rashtra state including Mumbai city. According to the
seismic zoning map of India, the whole study area
falls into zones II to V. The major area of Kutch
district falls in zone V, the other part of Kutch district
and some part of Surashtra falls in zone IV, and the
rest of Gujarat, Maharashtra and Madhya Pradesh
falls in zone III; some areas of Rajasthan, Maha-
rashtra and Madhya Pradesh fall in the zone II of BIS
1893:2002. The study area marked in the seismic
zoning map of India is shown in Fig. 1.
3. Seismic Characteristics of the Region
Surat city, which lies along the west coast of
India, is in the stable continental region of PI.
Cambay, Rann of Kutch and Narmada-Tapti regions
are recognised as one of the most active regions of PI.
In the recent past, many researchers have addressed
the seismicity of PI (KAILA et al. 1972; CHANDRA,
1977; RAO and RAO, 1984; KHATTRI, 1992; IYENGAR
and RAGHUKANTH, 2004; SITHARAM and ANBAZHAGAN,
2007; VIPIN et al. 2009). GUHA and BASU (1993) have
compiled a catalogue of PI earthquakes of magnitude
C3. RAO and RAO (1984) fitted the frequency mag-
nitude relationship for PI. They demonstrated that the
interval 18701920 had been the period of quies-
cence, whereas prior to and after this time window, PI
showed higher levels of seismic activity. JAISWAL and
SINHA (2008) reported that most of the historical
earthquakes in PI have been concentrated near the
weak rifting zones (Rann of Kutch, Narmada linea-
ment) or in the passive continental margins (both
eastern and western), whereas the cratonic zones
(northern and eastern) and inactive grabens are gen-
erally free from large earthquake activity and thus
form stable shields within the Indian plate.
The earthquake catalogue for this area was pre-
pared by combining and consolidating the available
information from different sources covering the time
period 18182008. The earthquake data were col-
lected from different sources, i.e., Geological Survey
of India (GSI), Indian Meteorological Department
(IMD), International Seismological Centre (ISC),
National Geophysical Research Institute (NGRI),
38 T. P. Thaker et al. Pure Appl. Geophys.
-
Gujarat Engineering Research Institute (GERI),
Institute of Seismological Research (ISR), and United
States Geological Survey (USGS). In addition to that,
a few more data were collected from the catalogues
published by different researchers like CHANDRA
(1977); OLDHAM (1883); MALIK (1999) and JAISWAL
and SINHA (2005).
The data collected were carefully analyzed to
remove the repetitions. In some cases the magnitudes
of the same event reported by different agencies were
slightly different and in those cases, a higher mag-
nitude event has been selected for the analysis. The
data obtained were in different magnitude scales and
some of the literature only report the intensity value
for historical earthquakes. Estimation of seismic
hazard values in any region requires complete details
of past earthquakes with a uniform magnitude scale
and hence these data were converted to a common
scale of moment magnitude (Mw) as per KANAMORI
(1983) and HEATON et al. (1986), maximum value has
been adopted. In addition to that the intensity values
are converted using the empirical relation (M = (2/3)
I ? 1) by GUTENBERG and RICHTER (1956), where I is
the earthquake intensity value. Hence, in the present
context, the term magnitude refers to moment mag-
nitude (Mw) in the text here after.
About 464 earthquake events were collected with
minimum magnitude of 3.0 and maximum of 7.7.
After removing the dependent events, the data set
contains 150 events between magnitude 3 and 3.9, 111
Figure 1Study area and seismic zonation map of India (Modified from BIS 1893:2002)
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 39
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Figure 2Histogram of earthquakes in study area
Figure 3Seismotectonic map of study area
40 T. P. Thaker et al. Pure Appl. Geophys.
-
events between 4 and 4.9, 36 events between 5 and 5.9
and 4 and 2 events of between magnitudes 66.9 and
more than 7.0 respectively. The number of earth-
quakes reported in each decade is shown in Fig. 2.
4. Generation of a Seismotectonic Map
The seismic sources in the study area were iden-
tified from the Seismotectonic Atlas (SEISAT, 2000),
published by the Geological Survey of India (GSI).
The base map of the area has been collected from the
United States Geological Survey (USGS). Earthquake
data and seismic sources, like major faults and line-
ament are superimposed on it. The seismotectonic
map of 350 km radius around Surat city along with the
details of earthquakes is shown in Fig. 3. A total of 17
sources identified in the study area out of which 12 are
major faults and five are major lineaments. The
lengths of seismic sources vary from 105 to 550 km.
5. Deterministic Estimation of Peak Ground
Acceleration
Deterministic seismic hazard assessments seek to
identify maximum credible earthquake (MCE) that
will affect the site. The MCE is the largest earthquake
that can be reasonably expected to occur in the region
(KRINITZSKY, 2002). It can be obtained by the deter-
ministic method (KRINITZSKY, 2002). In the present
study, vulnerable sources refer to the sources that are
capable enough to produce significant magnitude of
earthquake. Hence, those sources produce the earth-
quake magnitude of 4.0 and above have been
considered in the analysis, are listed in Table 1.
Maximum magnitude has been assigned to each
source based on maximum reported earthquake in the
past and the proximity to each seismic source. Also, it
is very important to determine the focal depth of
earthquake in the region. Considering the distribution
of epicenters, focal depth of 10 km is adopted as
shown in Fig. 4. The attenuation relationship devel-
oped by IYENGAR and RAGHUKANTH (2004) is
considered for the analysis.
6. Regional Recurrence
Usually, the seismic activity of the region is
characterized by recurrence relationships. Various
recurrence relationships are reported in the literature
(GUTENBERG and RICHTER, 1944; MERZ and CORNELL,
1973; SHAH et al. 1975). In the present investigations,
Table 1
Estimation of peak ground acceleration: deterministic approach
Major faults/lineaments Notation Length
(km)
Epicentral
distance (km)
Hypocentral distance
(h = 10 km), R (km)
Max. magnitude
(Mw)
PGA (g)
Kutch Mainland Fault (KMF) F1 140 339.00 339.15 7.7 0.008
Island Belt Fault (IBF) F2 130 350.00 350.14 5.6 0.001
Cambay West Fault (CWF) F3 200 120.00 120.42 5.7 0.016
North Katiawar Fault (NKP) F4 135 343.00 343.15 5.7 0.001
Son Narmada Fault (SNF) F5 550 42.42 43.58 6.3 0.128
Tapi North Fault (TNF) F6 395 6.43 11.89 5.0 0.158
Barwani Sukta Fault (BSF) F7 180 220.00 220.23 6.3 0.008
Upper Godawari Fault (UGF) F8 240 110.00 110.45 4.3 0.004
West Coast Fault (WCF) F9 308 35.47 36.85 5.7 0.090
Chiplun Fault (CF) F10 105 251.00 251.20 4.2 0.001
Kim Fault (KF) F11 180 123.00 123.41 5.0 0.007
Cambay East Fault (ECF) F12 290 105.00 105.48 5.7 0.020
Lathi-Rajkot Lineament L1 205 295.00 295.17 5.7 0.002
Chambal-Jamnagar Lineament L2 175 300.00 300.17 5.8 0.002
Kishangarh-Chipri Lineament L3 210 169.00 169.30 4.6 0.003
Rakhabodev Lineament L5 325 213.00 213.23 5.2 0.003
Bold values represent faults considered for the probabilistic analysis
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 41
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a simple and widely used GUTENBERG and RICHTER
(1944) relationship has been adopted to evaluate the
seismic hazard parameter b.
log10 N a bM 1where, N stands for the cumulative number of
earthquakes greater than or equal to a particular
magnitude M per year, parameters a and b describe
the seismic activity of the region. The simplest way
to obtain a and b is through least square regression,
but due to incompleteness of the database, such an
approach leads to erroneous results. Historical
earthquake records are usually more complete for
larger earthquakes than for smaller ones. Small
earthquakes can go undetected for a variety of
physical and demographical reasons. Fitting a straight
line, such as that implied by the G-R law, through
recurrence data, in which the mean rate of exceed-
ance of small earthquakes is underestimated, will
tend to flatten the line. As a result, the actual mean
rate of small earthquakes will be underestimated and
the mean rate of large earthquakes will be overesti-
mated (MENON et al. 2010). Two different methods,
namely, the visual cumulative (CUVI) method (TINTI
and MULARGIA, 1985) and the method by STEPP (1973)
were used to calculate the completeness periods for
different magnitude classes as shown in Fig. 5 and
Fig. 6. Table 2 summarizes completeness periods
estimated with these two methods. Recently, the
study by EPRI (2006) indicates that the parameter a
and b are sensitive to the selection of the threshold
magnitude (m0). In the present study m0 has been
found from the frequency magnitude distribution, as
the value from where the data depart from a straight
line as suggested by WIEMER and Wyss (2000). In
addition, the effects of very small earthquakes are of
little interest as they are not capable of causing sig-
nificant damage and hence earthquakes above,
m0 = 4.0 is set as threshold value for the present
analysis.
The completeness periods from both the analyses
(Table 2) have been used to compute the G-R mag-
nitude-frequency relationship as shown in Fig. 7. The
recurrence relations obtained from both the methods
is,
LogN 0:87Mw 3:8; R2 0:985 From Stepp 1973 method 2a
LogN 0:91Mw 4:0; R2 0:985 From CUVI method 2b
However, comparison of both the methods from
Table 2 and Fig. 7 suggests that the results are in
good agreement; hence, the average value has been
adopted in the present study as given below.
LogN 0:89 0:02Mw 3:9 0:1 2From Figs. 2, 8 and Table 2 it can be concluded
that the catalogue for the period since 1958 is com-
plete from magnitude 3.0 as better recording of data
has been observed in the last 50 years. Hence, the
whole catalogue from 18182008 has been divided in
two parts; 18181958 historical data (as the extreme
part of catalogue) and from 19582008 instrumental
Figure 4Latitude and longitude with depth of earthquake occurrences
42 T. P. Thaker et al. Pure Appl. Geophys.
-
(b)
(a)
(c)
(d)
(e)
(f)
(g)
(h)
Figure 5CUVI method
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 43
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data (complete part of catalogue) as shown in Fig. 8.
It has been noted that the effect of Bhuj (2001) and
Kutch (1819) earthquakes are also considered in the
analysis as the Bhuj (2001) event produced signifi-
cant damages in the Surat and surrounding areas
although the epicenter of this earthquake is just
outside the limit of 350 km radius around the city.
The b value obtained in this study matches well
with the previous studies RAO and RAO (1984), SEE-
BER et al. (1999), RAGHUKANTH and IYENGAR (2006),
JAISWAL and SINHA (2006), ANBAZHAGAN et al. (2008)
and VIPIN et al. (2009) in PI. However, LAI et al.
(2009) and MENON et al. (2010) reported higher b
values for Kancheepuram and Tamil Nadu respec-
tively, this may imply that the study area is prone to
higher magnitude earthquakes in comparison to these
regions of Tamil Nadu. Table 3 presents the b
values published by different authors for PI along
with the values obtained in the present study.
7. Deaggregation and Selection of Sources
for Probabilistic Hazard Analysis
From the deterministic seismic hazard analysis
carried out on 16 sources in the study area (Table 1),
five sources gave PGA above 0.01 g, have been
selected for the probabilistic seismic hazard estima-
tion. These sources are namely Cambay East Fault
(CEF), Son Narmada Fault (SNF), Tapi North Fault
(TNF), West Coast Fault (WCF) and West Cambay
Fault (CWF). The detail of five sources with reported
numbers of earthquake data close to each source are
shown in Table 4. In Table 4, the shortest and longest
Figure 6Stepp method
Table 2
Completeness period for different magnitude classes
CUVI method STEPP (1973) method
Magnitude class
(Mw)
Completeness
period
Completeness
interval (years)
Magnitude
class (Mw)
Completeness
period
Completeness
interval (years)
3.03.4 19582008 50 3.03.4 19582008 50
3.53.9 19582008 50 3.53.9 19582008 50
4.04.4 19582008 50 4.04.4 19582008 50
4.54.9 19522008 56 4.54.9 19482008 60
5.05.4 19382008 70 5.05.4 19382008 70
5.55.9 19032008 105 5.55.9 19082008 100
6.06.4 18452008 163 C6.0 18382008 170
C6.5 18182008 190 *** *** ***
Figure 7Regional frequency-magnitude relationships
44 T. P. Thaker et al. Pure Appl. Geophys.
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distances from the point of interest (Surat city) are
presented.
The recurrence relation in Eq. 2 derived in the
present study is for the entire region and not nec-
essarily applicable to any particular fault. Fault level
recurrence is necessary to differentiate activity rates
among the seismic sources. The most reliable way is
to plot a frequency magnitude relation for individual
sources. Because of the paucity of sufficient number
of earthquake data around the individual sources, it
is very difficult to compute reliable seismic param-
eters and, therefore, this approach may lead to
erroneous results. An alternative is to empirically fix
the b value by measuring the slip rate of a fault.
For the faults under consideration, no slip values are
available. Moreover, PI earthquakes are associated
with poor surface expressions of faults and hence
reliable estimation of slip rates has not yet been
possible (RAJENDRAN and RAJENDRAN, 1999; IYENGAR
and RAGHUKANTH, 2004), hence an approach given
by RAGHUKANTH and IYENGAR (2006) based on heu-
ristic basis invoking the principle of conservation of
seismic activity is adopted, This method has also
been followed by IYENGAR and GHOSH (2004), RAG-
HUKANTH and IYENGAR (2006), ANBAZHAGAN et al.
(2008) and VIPIN et al. (2009) for PSHA of Delhi,
Mumbai, Bangalore and PI respectively. According
to RAGHUKANTH and IYENGAR (2006), the regional
seismicity measured in terms of the number of
earthquakes per year with m C m0, should be equal
to the sum of such events occurring on individual
faults.
Hence; Nm0 X
Nim0i 1; 2. . .; 5 3
However, in finding Ni(m0), some assumptions are
necessary. First, a longer fault can produce more
small events of magnitude m0 than a shorter fault.
Hence, Ni (m0) may be taken as being proportional to
the length of the fault, leading to a simple weight
factor for source i,
ai LiPLi
4
where Li is the length of the fault i.
On the other hand, one may also consider that
future activity will continue, at least in the short run,
similar to past activity. Hence, irrespective of its
length, the seismic activity should relate to the
number of past events associated with it in the cata-
logue. This way one can arrive another weight factor
vi as;
vi NiNR
5
where Ni = number of earthquakes close to the
source and NR = total number of earthquakes in the
region.
The recurrence relation for source i is obtained by
averaging both weighting factor and multiplying the
regional relation as given below;
Figure 8Distribution of earthquake magnitude with years
Table 3
Comparison of b values with values reported in the literature
for PI
Author b Value Region
RAM and RATHOR (1970) 0.81 PI
KAILA et al. (1972) 0.70 PI
RAO and RAO (1984) 0.85 PI
SEEBER et al. (1999) 0.89 Maharashtra State
RAGHUKANTH and
IYENGAR (2006)
0.86 Mumbai city
JAISWAL and SINHA (2006) 0.91 PI
ANBAZHAGAN et al. (2008) 0.87 0.03 Bangalore city
VIPIN et al. (2009) 0.891 0.07 PI
LAI et al. (2009) 1.26 Kancheepuram,
Tamil Nadu
MENON et al. (2010) 1.13 Tamil Nadu
Present analysis 0.89 0.02 Surat city
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 45
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m Nim0 0:5ai viNm0 6The weighting factors calculated for each source
are shown in Table 5. The maximum magnitude
(mmax) for each source was estimated based on the
maximum reported magnitude at the source plus 0.5
(KIJKO and GRAHAM, 1998; RAGHUKANTH and IYENGAR,
2006; ANBAZHAGAN et al. 2008). The recurrence
relation for each fault capable of producing earth-
quake magnitude in the range of m0 to mmax was
calculated using the truncated exponential recurrence
model developed by MCGUIRE and ARABASZ (1990)
and an annual rate of event of magnitude CMw (km)is given by following expression;
km m expbm mo expbmmax mo1 expbmmax mo
7for mo B m B mmax
where, mo is the threshold magnitude, b = 2.303b and Ni (m0) or m is the weightage factor for a par-ticular source based on deaggregation. The
deaggregation of regional hazard in terms of fault
recurrence is shown in Fig. 9. Finally probability
density function fM(m) is calculated for each fault
based on the following expression.
fMm PM\m=m0 mmmax b expbm mo
1 expbmmax mo 8
8. Predictive Relationship
Magnitude, distance and site conditions are the
principal variables used in predicting future ground
motions. A large number of predictive relationships
derived from regression analysis of strong motion
Table 4
Vulnerable sources considered for probabilistic seismic hazard analysis
Faults/lineaments Notation Magnitude
(Mw)
Shortest hypocentral
distance (km)
Longest hypocentral
distance (km)
No. of earthquakes
close to the source
Cambay East Fault (ECF) F12 5.7 108.67 340.66 08
Son Narmada Fault (SNF) F5 6.3 43.58 393.67 23
Tapi North Fault (TNF) F6 5.0 11.89 370.85 19
West Coast Fault (WCF) F9 5.7 36.86 348.05 22
Cambay West Fault (CWF) F3 5.7 139.65 334.28 24
Table 5
Source recurrence relation weighing factors
Faults/
lineaments
Surat
city
Magnitude
(Mw)
Length
(Lf)
No. of earthquakes
close to the source
ai vi Average weighingfactor
ECF F12 5.7 290 8 0.166 0.026 0.096
SNF F5 6.3 550 23 0.316 0.076 0.196
TNF F6 5.0 395 19 0.227 0.063 0.145
WCF F9 5.7 308 22 0.177 0.073 0.125
CWF F3 5.7 200 24 0.115 0.079 0.097
Figure 9Deaggregation of regional hazard in terms of fault recurrence
46 T. P. Thaker et al. Pure Appl. Geophys.
-
data are available for peak ground acceleration. Since
the study area is located in PI, the attenuation relation
developed by IYENGAR and RAGHUKANTH (2004)
through a statistically simulated seismological model
for rock a site is used for this study. The attenuation
relation suggested for the study area is given in Eq. 9.
ln Y C1 C2M 6 C3M 62 ln R C4R ln e
9where Y, M, R and e refer to the PGA/Spectralacceleration (g) at the bedrock level, Moment mag-
nitude, hypocentral distance, and error associated
with the regression respectively. The coefficients C1,
C2, C3 and C4, derived for the western-central region
of India by IYENGAR and RAGHUKANTH (2004) is con-
sidered for the hazard analysis. These coefficients in
Eq. 9 have been obtained from the extensive seis-
mological modeling and simulation by RAGHUKANTH
and IYENGAR (2007). This relation is valid for bedrock
sites with a shear wave velocity of 3.6 km/s. The
normal cumulative function has a value which is
more efficient in terms of the standard normal vari-
ables (z) which can be computed for any random
variable using a transformation as given below;
z ln Y ln Y
rln e 10
Where Y* is the various targeted PGA/Sa levels
which will be exceeded, ln Y is the value calculated
using predictive relationship and ln e is the uncer-tainty in the predictive relation expressed by the
standard deviation.
PETERSEN et al. (2004) compared Kutch ground
motion data from the 2001 Bhuj earthquake for sites
located 230 km and 950 km from hypocenter in Ah-
madabad and Delhi respectively (University of
Roorkee, CRAMER and WHEELER, 2001) with published
ground motion equations. This comparison suggests
that the crustal intraplate relation of FRANKEL et al.
(1996) yields ground motion similar to the strong
ground motion data recorded from 2001 Bhuj earth-
quake at large distances. A comparison of various
attenuation relationships have been made by JAISWAL
and SINHA (2007), and they gave 50% weightage to the
relationship developed by IYENGAR and RAGHUKANTH
(2004) and rest to other attenuation relationships.
9. Local Site Effects
Considerable variation in the ground motion is
observed due to local site conditions, and hence, sur-
face level spectral acceleration values can be different
from bed rock values. Several approaches were used
to include site effect into PSHA (e.g. SUZUKU and
KIREMIDJAN, 1998; BERNREUTER et al. 1986; TOKI et al.
1991; BORCHERDT, 1994; MARITINI et al. 1994; ERDIK,
1995; etc.) most of them use site coefficients which
modify the basic PGA, spectral shape or intensity based
on the site classification, depending on the geotechnical
properties like shear wave velocity (BORCHERDT, 1994)
or geological condition (TOKI et al., 1991). The widely
adopted method for classifying a site is the average
shear wave velocity in the top 30 m of the site com-
monly known as Vs30. This parameter has been adopted
by many building codes for classifying a site for the
purpose of incorporating local site conditions in the
estimation of the design ground motion. The results of
Eq. 9 are modified for local site condition (RAGHUKANTH
and IYENGAR, 2007) used for the present analysis.
ys YFs 11and; ln Fs a1Y a2 ln ds 12
where Fs is amplification coefficient, ys is spectral
acceleration at the ground surface for a given site
class, a1 and a2 are regression coefficients and ds isthe error term corresponding to site classification,
s = A, B, C, D. These coefficients along with the
standard deviation of error r(ln ds) as reported byRAGHUKANTH and IYENGAR (2007) are considered for
the analysis. The variation from the mean is charac-
terized by standard deviation expressed as:
rln es rln e2 rln ds2
q13
10. Probabilistic Seismic Hazard Analysis
Probabilistic seismic hazard analysis (PSHA) was
initially developed by CORNELL (1968) and incorpo-
rates the influence of all potential sources of
earthquakes and the activity rate assigned to them.
Thereafter, many researchers have adopted this meth-
odology for evaluating hazard and recently this method
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 47
-
has been adopted by IYENGAR and GHOSH (2004),
RAGHUKANTH and IYENGAR (2006), ANBAZHAGAN et al.
(2008), and VIPIN et al. (2009) for the probabilistic
seismic hazard analysis of Delhi, Mumbai, Bangalore
and PI respectively. The procedure for carrying out
PSHA has been demonstrated by KRAMER (1996) and is
adopted for the present analysis. A common approach
involves the development of seismic hazard curves,
which indicates the annual probability of exceedance
of different values of a selected ground motion
parameter. The seismic hazard curves can be used to
compute the probability of exceeding the selected
ground motion parameter in a specified period of time.
Seismic hazard curves can be obtained for individual
source zones and are combined to express aggregate
hazards at a particular site. For a given earthquake
occurrence, the probability that a ground motion
parameter Y will exceed a particular value y* can be
computed using total probability theorem; that is:
P Y [ y P Y [ y=X P X Z
P Y [ y=X fxXdx 14
where X is a vector of random variables that influ-
ences Y. In most cases, the quantities in X are limited
to magnitude M, and distance R. Assuming that M
and R are independent, the probability of exceedance
can be written as:
PY [ y ZZ
PY [ y=m; rfMmfRrdmdr15
where P[Y [ y*/m,r] is obtained from the predictiverelationship and fM(m) and fR(r) are the probability
density functions for magnitude and distance,
respectively. If the site of interest is a region of Ns
potential earthquake sources, each of which has an
average rate of threshold magnitude exceedances,
m expai bimo; the total average exceedancerate the region will be given by
ky XNs
i1mi
ZZPY [ y=m; rfMimfRirdmdr
16The individual components of Eq. 16 are, quite
complicated that the integrals cannot be evaluated
analytically. Numerical integration, which can be
performed by a variety of different techniques, is
therefore required. One approach used for simplicity
to divide the possible ranges of magnitude and dis-
tance into NM and NR segments respectively. The
average exceedance rate can be estimated by,
ky XNs
i1
XNM
j1
XNR
k1miPY [y=mj;rkfMimjfRirkDmDr
17where mj = mo ? (j - 0.5)(mmax - mo)/NM, rk =
rmin ? (k - 0.5)(rmax - rmin)/NR, Dm = (mmax -mo)/Nm and Dr = (rmax - rmin)/NR. This is equiva-lent to assuming that each source is capable of
generating only NM different earthquakes of different
magnitude mj, at only NR different source to site
distances, rk, and hence, Eq. 17 equivalent to,
ky XNs
i1
XNM
j1
XNR
k1miPY [y=mj;rkPMmjPR rk
18Assuming that the number of earthquakes occur-
ring on a fault follows a stationary Poissons process,
the probability that the control variable Y exceeds
level y*, in terms of a finite time interval T years is
given by:
PYT [ y 1 exp ky T 19
Figure 10Seismic hazard at rock level for Surat, Gujarat, India
48 T. P. Thaker et al. Pure Appl. Geophys.
-
The seismic hazard curves can be obtained by
computing the mean annual rate of exceedance ky, fordifferent specified ground motion values y*. These
curves are first obtained individually for all the five
faults and combined to estimate the aggregate hazard
at the site. The seismic hazard curve for PGA at bed
rock obtained by the above method is shown in Fig. 10
along with the individual contribution from all five
faults. It is observed that the seismic hazard at Surat is
mainly contributed by three faults namely, Tapi North
Fault (TNF), Son Narmada Fault (SNF) and West
Coast Fault (WCF). The site condition in Surat city
may vary A-type to F-type based on the NEHRP
classification. Ideally, with the help of detailed shear
wave velocity profiles, covering all parts of city, pre-
cise estimation of site specific hazard will be possible.
Even in absence of this, the design response spectrum
can be standardized for the sites of A, B, C, and D.
Seismic hazard curves for PGA computed separately
for these sites in Surat is shown in Fig. 11, for E- and
F-type sites, rigorous nonlinear site response analysis
would be needed, with specific parameters and is
outside the scope of the present study.
11. Uniform Hazard Response Spectrum
The current approach in engineering practice is to
use design response spectra with equal probability of
exceedance over the entire frequency range of inter-
est. Such design spectra are known as Uniform
Hazard Response Spectra (UHRS). In the present
study, uniform hazard response spectra is developed
from probabilistic ground motion analysis that has
equal probability being exceeded at each period of
vibration. For finding UHRS, seismic hazard curves,
response spectra at specified probability of exceed-
ance over the entire frequency range of interest are
evaluated using Eq. 9 and site coefficients suggested
by RAGHUKANTH and IYENGAR, 2007. The International
Code IBC (2000) prescribed design forces based on
spectral acceleration (Sa) corresponding to 10 and 2%
probability of exceedance in 50 years. These corre-
spond to 475 and 2,475 years return periods
respectively. Figure 12 shows the UHRS (with
damping of 5%) at bed rock level for Surat city
corresponding to the above two standard return
periods. Spectral acceleration (Sa) corresponding to
1 s natural period, is known as long period seismic
period. It is observed that, for the same return period,
spectral acceleration is high on soft soil sites.
Figure 13 shows the hazard curves corresponding to
1 s natural period for different site classes (A, B, C and
D). Uniform hazard response spectrum (with damping
of 5%) for different site in Surat city according to
NEHRP site classification for 10 and 2% probability of
exceedance in 50 years presented in Fig. 14.
12. Results and Discussions
In the present study, the seismic hazard analysis is
carried out for the establishment of PGA at bed rock
Figure 11Effect of local site condition on seismic hazard in Surat, Gujarat
Figure 12UHRS (with damping of 5%) at bed rock level for Surat city
corresponds to 10 and 2% of probability of exceedance in 50 years
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 49
-
level for Surat city based on the deterministic
approach. An attempt has also been made to evaluate
the seismic hazard in terms of PGA and Sa at rock
level and PGA at ground level, based on different site
classes for Surat city based on probabilistic hazard
analysis. The seismic hazard curves and UHRS for 2
and 10% probability of exceedance in 50 years are
calculated using newly developed Microsoft Excel
program. There are no previous engineering studies
in open literature on probabilistic seismic hazard
analysis covering Surat region. Hence, the results of
the present study are compared with the studies
reported in the literature on PI (SEEBER et al. 1999;
IYENGAR and RAGHUKANTH, 2004; ANBAZHAGAN et al.
2008; BOOMINATHAN et al. 2008; JAISWAL and SINHA,
2008, VIPIN et al. 2009). The results are also com-
pared with the Indian Standard Code (BIS 1893:
2002).
Site A Site B
Site C Site D
Bedrock
Figure 13Hazard curves for 1 s for different sites (Class A, B, C, D, and bedrock)
50 T. P. Thaker et al. Pure Appl. Geophys.
-
As stated earlier, b value obtained in the present
study matches well with the most studies reported in
the literature for PI.
In the present investigation, the peak ground
accelerations (PGA) 0.100 and 0.138 g are obtained
for 10 and 2% probability of exceedance in 50 years,
respectively. As the time unit is not taken into
consideration in the deterministic approach, the
probabilistic and deterministic values should not
compare. However, in the present study, they have
been compared considering NEHRP (BSSC 2001)
clause 4.1.3.1. According to this, when site specific
procedure are utilized, maximum considered earth-
quake ground motion shall be taken as that motion
represented by a 5% damped acceleration response
spectrum having a 2% probability of exceedance in a
50 years. Deterministic approach is also considered
for maximum credible earthquake. Hence considering
the MCE is likened to ground motion with 2475 yr
return period, while the DBE is likened to the 475 yr
return period (MENON et al., 2010), the deterministic
results are compared with 2% probability of
exceedance in 50 years (2,475 R.P.) results. The
value of PGA at 2% of probability of exceedance in
50 years is comparable with PGA value of 0.158 g
obtained from deterministic analysis. The study
illustrates that the probabilistic and deterministic
approaches may lead to comparable answers and
complementing each other and provides additional
insights to the seismic hazard assessment.
The PGA value for 10% probability of exceed-
ance in 50 years for Surat city, considering different
sites varies from 0.100 to 0.210 g, with a maximum
value of 0.210 for Site D (BSSC, 2001). However,
these PGA values at bedrock obtained from the cur-
rent investigation are comparable with GSHAP maps
of BHATIA et al. (1999) for the same region. However,
BHATIA et al. (1999) have not given any information
regarding the influence of local Soil.
In recent years, the building codes are revised to
consider the 2% probability of exceedance in
50 years (VIPIN et al., 2009) which corresponds to a
return period of 2,475 years. Peak ground accelera-
tion value for the above return period varies from
0.138 to 0.335 g considering the various site condi-
tion (BSSC, 2001) with maximum value of 0.335 g
for Site D. The PGA value of 0.335 g corresponds to
zone V as per the current seismic hazard map of India
(BIS 1893:2002). Similarly for return period of
475 years the maximum PGA value of 0.210 g is
obtained for Site D, which corresponds to zone IV
as per the current seismic hazard map of India.
However, Surat region is placed in the zone III cor-
responds to maximum PGA value of 0.16 g.
Uniform hazard response spectra (UHRS) with 10
and 2% probability of exceedance in 50 years were
developed for bedrock and A, B, C and D type soil
classes (BSSC, 2001) for Surat city (Fig. 14). The
results of these curves show the variation of pre-
dominant frequency with change in soil types. The
period of oscillation corresponding to maximum
spectral acceleration varies from 0.04 s at bedrock
level to 0.1 s at ground surface for site class D which
shows low rise buildings are most vulnerable to
earthquake damage. VIPIN et al. (2009) and RAGHUK-
ANTH and IYENGAR (2004) found that the period of
oscillation for Bangalore and Mumbai city respec-
tively in PI, the values ranges from 0.05 s for bedrock
(a)
(b)
`
Figure 14Uniform hazard response spectrum for different sites according to
NEHRP classifications a 10% probability of exceedance in 50 years
b 2% probability of exceedance in 50 years
Vol. 169, (2012) Use of Seismotectonic Information for the Seismic Hazard Analysis 51
-
to 0.2 s for site class D. The results of present
investigations are compared with various studies in
the literature for PI (Table 6). The values obtained
from the present study shows some degree of simi-
larity with the studies reported in the literature.
In this article, Surat city has been represented as a
single point. This is not a major limitation in
estimating seismic hazard. Previous work on mi-
crozonation of Delhi (IYENGAR and GHOSH, 2004; RAO
and NEELIMA, 2005) shows that surface level spatial
variation of hazard, on a city size region, depends
more on local soil conditions rather than on the
disposition of seismic sources. Hence at bedrock
condition, spatial variation within city limits is
expected to be minimal. However, different sites in a
city will have different Vs30 values and belong to one
of A, B, C and D types. With this in view, in the
present study, design response spectra have been
derived for these four types of sites. Also, the current
study highlights the influence of local site effect on
the ground motion characteristics and shows the need
for the revision of the current code (IS 1893:2002) of
practice in India.
However, the above process has several limita-
tions as cited by RAGHUKANTH and IYENGAR (2006). In
addition, all the sources are assumed to be a line
source. It is important to note that for large portions
of peninsular India (i.e., the quiet zones of cratons);
the historical catalog includes no information about
the previous earthquake activity due to its relatively
short time span (JAISWAL and SINHA, 2008). It is
possible that many smaller magnitude earthquakes in
these quiet zones have not been recorded due to a
sparse instrumental network even during the last
several decades. A seismic source incorporating
background seismicity was not included in the pres-
ent study. Apart from the above limitations, this
procedure may lead to the best possible results under
the present seismic scenario as stated by RAGHUKANTH
and IYENGAR (2006).
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Table 6
Comparison of ground motion parameters reported in literature
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54 T. P. Thaker et al. Pure Appl. Geophys.
Use of Seismotectonic Information for the Seismic Hazard Analysis for Surat City, Gujarat, India: Deterministic and Probabilistic ApproachAbstractIntroductionStudy AreaSeismic Characteristics of the RegionGeneration of a Seismotectonic MapDeterministic Estimation of Peak Ground AccelerationRegional RecurrenceDeaggregation and Selection of Sources for Probabilistic Hazard AnalysisPredictive RelationshipLocal Site EffectsProbabilistic Seismic Hazard AnalysisUniform Hazard Response SpectrumResults and DiscussionsReferences