Environ Earth Sci (2016) 75:1354 DOI 10.1007/s12665-016-6151-y ORIGINAL ARTICLE Investigation of site properties in Adapazarı, Turkey, using microtremors and surface waves Ali Silahtar1 • Emrah Budakoğlu1 • Gündüz Horasan1 • Eray Yıldırım2 H. Serdar Küyük3,4 • Evrim Yavuz5 • Deniz Çaka5 • Received: 23 January 2016 / Accepted: 30 September 2016 / Published online: 14 October 2016 Ó Springer-Verlag Berlin Heidelberg 2016 Abstract Determination of suitable areas for new residential buildings is crucial to increase the resilience of buildings against earthquake hazards. After the 1999 Izmit earthquake Mw 7.4, the city of Sakarya has been expanding rapidly in terms of both the population and number of superstructures. Despite the fact that Sakarya suffered several large earthquakes in the last two decades, the geophysical properties of the region have not been adequately investigated. In this study, the site properties of Sakarya University, Esentepe Campus, and its surrounding Serdivan district, which is one of the important parts of the city, are determined using microtremor measurements and surface wave analysis. Nakamura’s spectral ratio method (spectral ratio between the horizontal and vertical components, H/V or HVSR) was used to determine the fundamental frequency and site amplification values. The shear wave velocity profiles of the studied sites were determined using the multichannel analysis of surface waves method. Seismic measurements were performed at 34 locations to record the surface waves in the area. The fundamental frequency and site amplification values are determined as 1.02–11.68 and 1.33–5.96 Hz, respectively, from the microtremor measurements. The fundamental frequency is between 4.0 and 11.5 Hz in the campus area and between 1.3 and 2.0 Hz near the D-100 intercity highway. The site amplification was determined to be 1–2.5 in the campus area. The greatest site amplification (6) is obtained at thick alluvium deposits in the valley between hills. The average shear wave velocity values are within the range of 300 and 1120 m/s. Some parts located on the hill area have better soil condition (B) categories, according to the National Earthquake Hazard Reduction Program, and have comparatively high shear wave velocities in the range of 740–1080 m/s, whereas low velocity values are found at the thick alluvium deposits (D). We found that the geological properties and topographies play very important roles on the shear wave velocity and the amplification factors in the investigated area. & Gündüz Horasan [email protected] Keywords Microtremor Surface waves Vs30 Adapazarı 1 2 Department of Geophysical Engineering, Faculty of Engineering, Sakarya University, 54187 Serdivan, Sakarya, Turkey Department of Civil Engineering, Faculty of Natural Sciences, Architecture and Engineering, Bursa Technical University, 16330 Bursa, Turkey 3 Department of Civil Engineering, Faculty of Engineering, Sakarya University, 54187 Serdivan, Sakarya, Turkey 4 Kandilli Observatory and Earthquake Engineering Institute, Bogazici University, 81220 Istanbul, Turkey 5 Department of Geophysical Engineering, Faculty of Engineering, Kocaeli University, 41000 İzmit, Kocaeli, Turkey Introduction The seismicity of the area in Sakarya Prefecture, Turkey, is controlled by the North Anatolian Fault Zone (NAFZ). The NAFZ is located in the south of the Adapazarı basin, and it passes through approximately 19 km south of Adapazarı (Fig. 1). This fault zone has created large earthquakes in the region (Ms 6.6 1943 Hendek-Adapazarı; Ms 7.1 1957 Abant-Bolu; Ms 6.8 1967 Mudurnu-Bolu; Ms 7.8 1999 Izmit and Ms 7.5 1999 Düzce earthquakes). Thousands of people have lost their lives, and hundreds of buildings have 123 1354 Page 2 of 15 Environ Earth Sci (2016) 75:1354 Fig. 1 Regional topographic map showing the North Anatolian Fault Zone (NAFZ) and large earthquakes (1943 Hendek-Adapazarı; 1957 Abant-Bolu; 1967 Mudurnu-Bolu; 1999 Kocaeli and 1999 Düzce) pointed out with red stars. The study area is marked by a shaded rectangle been damaged heavily because of these earthquakes. One of the largest of these earthquakes, the August 17, 1999, Izmit earthquake Mw 7.4, ruptured 140 km in the segment of the North Anatolian Fault (NAF), which extends from Izmit bay in the west to Akyazi in the east, and caused approximately 20,000 losses of lives and 20,000 collapsed buildings. Adapazarı has been developed on the young floodplain deposits of Sakarya River. Therefore, soft soil deposits 123 were thought to have large effects on these past damages. The elastic properties of near-surface materials and their effects on seismic wave propagation are very important in both earthquake/civil engineering and environmental/earth science studies. The increase of amplitudes in soft sediments is one of the most important factors responsible for the amplification of earthquake motions. To characterize the local conditions in terms of the dynamic response of the soil, the horizontal-to-vertical spectral ratio (HVSR or H/V) Environ Earth Sci (2016) 75:1354 and the fundamental frequency have been used extensively by many researchers (Nogoshi and Igarashi 1970; Nakamura 1989, 2000; Lermo and Chávez-Garcia 1993, 1994; Theodulidis and Bard 1995; Suzuki et al. 1995; Lachet and Bard 1994; Gallipoli and Mucciarelli 2009; Gosar 2010; Ozalaybey et al. 2011; Akkaya 2015). Deriving the fundamental frequency of the soft sediments overlying bedrock using the HVSR method has become increasingly popular because of its application simplicity and low cost. Surface wave measurements also have great potential for use in site characterization. The Kansas Geological Survey has been conducting a three-phase research project since 1995 to estimate the near-surface S-wave velocities from Rayleigh waves. Surface waves have been processed using the 1D multichannel analysis of surface waves (MASW) method to infer the shear wave velocity profile of soil. This MASW technique has been effectively used to map bedrock (Xia et al. 1998; Miller et al. 1999; Park et al. 1999). All variations of the MASW methods are environment-friendly, noninvasive, low cost, rapid and robust; moreover, they consistently provide reliable shear wave velocity profiles within the first 30 m below the surface (Xia et al. 2002; Kanlı et al. 2006; Martı́nez-Pagán et al. 2014). Microzonation studies are frequently performed based on the use of the average shear wave velocity in the uppermost 30 m (Vs30) because of the limited exploration depth of invasive methods; this approach is adopted by the National Earthquake Hazard Reduction Program (NEHRP) classification in the USA. The original work of Borcherdt (1992) on Vs30 was based on data from the western USA; the first papers discussing advantages and disadvantages of the Vs30 method were Anderson et al. (1996) and Wald and Mori (2000). The general principle in surface wave methods is the utilization of the dispersive characteristic of surface waves recorded by passive (environmental noise) or active (horizontal or vertical) sources. The MASW method, which is one of the most effective active-source surface wave methods, is used to determine soil characterization up to 30 m. A limited number of researchers have studied the site parameters of the Sakarya basin. Komazawa et al. (2002), Kudo et al. (2002), Ozel and Sasatani (2004), Siyahi and Selçuk (2005), Ozcep et al. (2013) and Firat et al. (2016) determined the site effect parameters in a few regions of the Adapazarı basin after the 1999 Izmit earthquake. Ozel and Sasatani (2004) studied the site effects of the Adapazarı basin, Turkey, where heavy damage occurred during the 1999 Izmit earthquake based on the strong- and weakmotion data obtained using a temporal array observation. In their study, the S-wave amplifications in the basin were evaluated by using the traditional spectral ratio method. They performed a quantitative interpretation of the empirical amplifications based on the S-wave velocity structures at the stiff-soil reference site as well as the basin Page 3 of 15 1354 sites, which were estimated by microtremor array measurements. Ozcep et al. (2013) determined the soil-type information based on the Vs30 values. They found that the Genç, Seker, Babalı and Hastane stations were located on soft soil, whereas the Imar and Toyota areas were located on stiff soil or soft rock. Firat et al. (2016) performed onedimensional ground response analyses at Adapazarı region (Teverler, Yeni cami, Sakarya high school, Atatürk stadium) using the August 17, 1999, Izmit earthquake strong ground motion records. However, many areas in the city that are susceptible to the next expected Marmara Earthquake have not been studied adequately. Recently, many new buildings are being constructed in new residential areas, such as around the Sakarya University, Esentepe Campus, and the Serdivan and Beşköprü provinces. The areas of high risk around these regions should be determined. The aim of this study is to assess the fundamental frequency, site amplification and Vs30 velocity values at the Esentepe Campus and its environment. We also classified the study areas based on the Vs30 values in the seismic design code (NEHRP). Geological setting The simplified geological map of Adapazarı and its surroundings is shown in Fig. 2. The city of Adapazarı lies essentially on the active floodplain of the Sakarya River, and the river has deposited the near-surface soft sediments underlying the majority of the city. The Adapazarı basin contains quaternary alluvial sediments covering the tectonic units within the boundaries of the basin. The quaternary aged alluvium mainly consists of silt and fine sand deposited by the Sakarya River; silt-sand layers are found in the downtown Adapazarı by Sancio et al. (2002). Sarıaslan et al. (1998) summarized the characteristics of the surroundings of the work area as follows: Sultaniye metamorphics (PTRs): This metamorphic unit primarily outcrops on higher hills south and southwest of Sapanca. Sultaniye metamorphics consist of schist-marble, limestone and ophiolite schist, and it is covered discordantly by the upper cretaceous-tertiary older formation. The unit is of Permian–Triassic age. Akçay metamorphics (Ka): Outcrops at the south of the Adapazarı, Akçay valley and near Memnuniyet village. The outcrops consist of limestone, mudstone, quartzite, quartz schist, gravel, tuff, basalt, recrystallized limestone and marble. Akveren formation (KTa): Our study area is situated in the Akveren formation. This formation yields an outcrop at the south and southwest hills of Adapazarı and the Serdivan district. The Akveren formation is mainly composed of argillaceous limestone, marl, claystone, siltstone, gravel, 123 1354 Page 4 of 15 Fig. 2 Simplified surface geology map of Adapazarı region (modified after Sarıaslan et al. 1998) Environ Earth Sci (2016) 75:1354 N SAKARYA Tç Tçy Qa Kta Sapanca Lake NAF Qa Qa Rs Tör Tör PT Ka Tç Study Area Çaycuma Fm 5 km 0 Eocene Quaternary Qa Pliocene Tör Örencik Fm Upper Cretaceous Lower Eocene reef limestone and volcanic rocks. The age of this formation is upper Cretaceous to Eocene. Çaycuma formation (Tc): This formation consists of limestone, mudstone, volcanic rocks and gravel. It outcrops at the hills west of Adapazarı. It is from middle Eosen. Yıgılca formation (Tçy): This formation outcrops at the hill at the west side of Serdivan district. It consists of andesite, basalt, gray and brownish thick-layered agglomerate, tuff, local sandstone with volcanic material and nummulitic limestone layer. The age of this formation is lower Eosen. Örencik formation (Tor): This formation consists of gravel, limestone, mudstone and claystone. It outcrops mostly at the towns of Sapanca and Karapürçek. This formation settled in river and floodplains and is of Pliocene age. Alluvion (Qa): Most of Sakarya and its districts remain on the hardened quaternary aged alluvium base. The quaternary aged sediment base is primarily coarse-grained near the edges and fine-grained in the inner parts. Microtremor data analysis Microtremor data are used frequently to determine the local soil conditions in earthquake engineering. The horizontalto-vertical spectral ratio has been used by many researchers 123 Tçy Yığılca Fm Upper Jura Lower Cretaceous Kta Akveren Fm Permian-Triassic Ka PTRs Akçay Metamorphic Sultaniye Metamorphic to characterize the local conditions in terms of the dynamic response of the soil. In this study, we used the well-known Nakamura (1989, 2000) methods to analyze the microtremor data. This method is based on three components to perform single-station measurements and is called the horizontal-to-vertical spectral ratio method. We used a Guralp CMG-6TD broadband seismometer with three components (UD, NS and EW) to obtain the microtremor data at the Sakarya University, Esentepe Campus, and its environment. Microtremor measurements were conducted at 34 sites in the study area (Fig. 3). The sampling rate of the recorded data was 100 samples per second, and the recording time was approximately 15 min at each site. The acquisition system was equipped with a 24-bit digitizer. Microtremor data analysis was performed using Geophysical Signal Database for Noise Array Processing (GEOPSY 1997) software developed during the Site EffectS assessment with the AMbient Excitations (SESAME 2004) European Project (Bard 2000). The window length selected for computing the H/V spectral ratio was 25 s. Next, a cosine taper of 10 % was applied on the signal to remove the oscillations. All signals were bandpass-filtered between 0.1 and 20 Hz, and then the Fourier spectra were calculated for the three components. The spectra were smoothed using the Konno and Ohmachi algorithm (1998) Fig. 3 Location of microtremor and surface wave measuring sites (red circles both HVSR and MASW, white circle only MASW, yellow circle only HVSR) Environ Earth Sci (2016) 75:1354 Page 5 of 15 1354 123 1354 Page 6 of 15 Environ Earth Sci (2016) 75:1354 Fig. 4 Examples of spectral ratio (H/V) curves at six sites (esv, cmp-11, klm, e5-3, bsk-1 and bsk-2) in Fig. 3 labelled with white-colored letters indicating the locations. Thick lines are the average HVSR values with a smoothing constant value of 40. Subsequently, the logarithmic average and the standard deviation were obtained at each site for all spectral ratios in the frequency range between 0.1 and 20 Hz. The spectral ratios of six different sites at the study area are shown in Fig. 4. The fundamental frequency (f0) and the corresponding H/V amplitude at every site were estimated; the contour maps of f0 and H/V amplitude variations are shown in Figs. 5 and 6. The fundamental frequencies were determined to range from 1 to 11.5 Hz, and the maximum H/V amplitude was six. Surface wave analysis The measurements of the surface waves were conducted at 34 sites (Fig. 3). The data were collected using the 12-channel geometrics Smartseis S-3000 seismograph and the channel streamer (which consists of 4.5-Hz vertical geophones). The spacing between each geophone was 5 m, and the total length of the spread was 75 m. A 7-kg sledge hammer source was used. The offset interval from the first 123 geophone was equal to 20 m. SeisImager/SW seismic software was used for preprocessing, editing, visualization and 1D/2D spectral analysis. The processing includes two main steps: The first step is to calculate the dispersion, namely the change in phase velocity with frequency, using the Pickwin module [note: surface wave dispersion can be significant in the presence of velocity layering, which is common in the near-surface environment (SeisImager/SW 2005)]; the second step is to calculate the shear wave velocity (Vs) profile by mathematical inversion (based on the least square method) of the dispersive phase velocity of the surface waves using the WaveEq module. The steps involved in these calculations are presented for one site in Fig. 7. A thorough assessment of the shallow shear wave velocity is crucial for earthquake hazard assessment studies (Wald and Mori 2000). The average shear wave velocity of the upper 30 m (Vs30) was calculated using the following expression: Vs 30 ¼ PN 30 i¼1 hi =vi ð1Þ Fig. 5 Fundamental resonance frequency map of the study area Environ Earth Sci (2016) 75:1354 Page 7 of 15 1354 123 Environ Earth Sci (2016) 75:1354 Fig. 6 Contour map of H/V amplitude ratio 1354 Page 8 of 15 123 Environ Earth Sci (2016) 75:1354 Page 9 of 15 1354 Phase Velocity, [m/s] 0 Distance, [m] 500 0 75 1500 1000 2000 b a Frequency, [Hz] 10 0.2 20 30 40 Frequency, [Hz] 0 10 15 20 25 30 35 45 40 Phase Velocity, [m/s] 50 c 1800 0.4 Time, [s] 5 S/N ratio 1400 1000 600 0.6 obtained estimated 200 0.0 Vs Velocity, [m/s] 0 200 400 600 800 1000 1200 d 6 Depth, [m] 0.8 12 18 24 1.0 30 Fig. 7 Main steps of the MASW processing technique (data acquired from esv site) where hi and vi denote the thickness (in meters) and shear wave velocity, respectively, of the ith formation or layer, with a total of N layers existing in the top 30 m. Results and discussion Because of the high rate of urbanization of Adapazarı, many new buildings are being constructed in new residential areas, such as around the Sakarya University, Esentepe Campus, and Serdivan and Beşköprü provinces. In this study, we obtained the site effect parameters for these new developing areas. A limited number of researchers have studied the site parameters of the Sakarya basin after the 1999 Izmit earthquake (Komazawa et al. 2002; Kudo et al. 2002; Ozel and Sasatani 2004; Siyahi and Selçuk 2005; Ozcep et al. 2013; Firat et al. 2016). Our study area is different than the study areas of these previous researchers. We determined the fundamental frequency and the site amplification using the H/V spectral ratio method 123 1354 Page 10 of 15 and the shear wave velocities for the top 30 m using the multichannel surface wave analysis method for the Sakarya University, Esentepe Campus, and its environment. Next, the average shear wave velocities for the top 30 m were classified and mapped in accordance with the NEHRP site classification code (Fig. 9). The estimated values of the fundamental frequencies range from 1.0 Hz up to 11.5 Hz at the study area. The estimated value of the amplification factor ranges from 1.33 to 5.96 at the study area. The distribution of the fundamental frequencies and the site amplifications at the Sakarya University, Esentepe Campus, and its surroundings are shown in Figs. 5 and 6. The resonance frequency f0 varies from 4.5 to 11.5 Hz at the top of the hill of the campus. The hillside has lower f0 values of less than 4 Hz. The lower frequency values (1.0–2.0 Hz) were also obtained at the D-100 highway and the south-southeastern parts of the study area. We obtained the maximum amplification (Amax * 6.0) at the Beşköprü district. Although HVSR is usually considered to be a lower bound for amplification estimations compared with other techniques, we obtained meaningful amplification values in this study. This high amplification and low frequency region is located in the valley between two hills at the southeastern part of the study area. The valley has been filled with thick sediment over time (personal communication, Ramazanoğlu 2013). On the other hand, the estimated value of the amplification factor ranges from 1.4 to 3.6 in the other part of the study area. The minimum amplification was obtained at the top of the campus area (Fig. 6). The site amplification and fundamental frequency values we obtained are very similar to the values obtained by Siyahi and Selçuk (2005). They obtained amplification values of 4.7 and 5.7 at the Istiklal and Karaosman districts, respectively, where heavy damage occurred because of the 1999 Izmit earthquake. They also obtained fundamental frequencies between 0.7 and 9 Hz at the alluvial site using microtremor data. This wide range of change indicates the rapid increase of sediment thickness. Komazawa et al. (2002) found a sedimentary cover thickness in the range of 1000–1500 m for the Adapazarı basin using gravity anomaly data. Ozel and Sasatani (2004) evaluated the S-wave amplification in the Adapazarı basin by using the traditional spectral ratio method. These spectral ratios showed that the S-waves are considerably amplified in the frequency range of 0.5 to approximately 5 Hz at the basin sites but are apparently damped at frequencies higher than approximately 10 Hz. They confirmed that the amplifications at low frequencies are attributed to the thick sedimentary layers in the Adapazarı basin and that apparent damping at high frequencies is partly caused by the reference site response. Parolai et al. (2001) stated that the resonance frequency becomes lower in areas where the basement 123 Environ Earth Sci (2016) 75:1354 depth is greater and higher where it is shallower. Accordingly, the presence of higher and lower values reflects the variation in the thicknesses of sediments throughout the area. We obtained similar results to the results of Ozel and Sasatani (2004). We also obtained larger amplifications at low frequencies for thick sediments and small amplification at high frequencies at the top of Esentepe Campus. Ozel and Sasatani (2004) suggested that heavy damage in downtown Adapazarı during the 1999 Izmit earthquake was caused not only by strongly amplified S-waves but also by the long-period basin surface waves of long duration. Firat et al. (2016) obtained soil characteristics and depth to engineering bedrock at the selected sites are different. The observed level of structural damage at these sites during the Izmit earthquake was also different. They found the largest amplification for soil profiles is between 0.63 and 2.5 Hz. The highest peak ground acceleration is obtained at the Yeni cami site. Vs30 was accepted for site classification in the USA (NEHRP) by the UBC (Uniform Building Code) in 1997 (Dobry et al. 2000; Kanlı et al. 2006) and also in the Eurocode 8 (Sabetta and Bommer 2002; Sêco and Pinto 2002; Doğangün and Livaoğlu 2006; Sandikkaya et al. 2010). In order to reduce the earthquake hazard, it is very important to select the correct areas for the new buildings. In this study, we classified the average Vs30 values in the upper 30 m of soil according to the NEHRP classification code presented in Table 1. The results of the Vs profiles at six sites (esv, cmp-11, kml, e5-3, bsk-1 and bsk-2) are shown in Fig. 8. The hill zone at the top of the campus (cmp-11) region has the highest velocity value compared to that of the other regions. The average shear wave velocity values range from 300 to 1120 m/s in the region (Fig. 9). These velocity values show that the Esentepe Campus area has a very thin sedimentary cover with high shear velocities, underlined by hard bedrock, except behind the Faculty of Arts and Sciences area. Ramazanoğlu (2005) determined a decomposed and blocked rock at depths in the range of 1.3–1.9 m and bedrock under this depth around the top of the Esentepe Campus. In addition, the lower shear wave velocities were observed along the D-100 highway and the Table 1 NEHRP site classification NEHRP site class Average shear wave velocity to 30 m (m/s) General description A [1500 Hard rock B 760–1500 Rock C 360–760 Very dense soil and soft rock D 180–360 Stiff soil E \180 Soft soil Environ Earth Sci (2016) 75:1354 Page 11 of 15 1354 Fig. 8 Shear wave velocity profiles at six sites (esv, cmp-11, klm, e5-3, bsk-1 and bsk-2) Beşköprü district. We determined three types of soil at the Esentepe Campus and its surroundings: Type B soil (1020–760 m/s), Type C soil (760–360 m/s) and Type D soil (360–300 m/s). Type B soil (beneath the campus area) was considered to be equivalent to engineering bedrock (i.e., reference bedrock). A large fraction of the study region corresponds to Type C soil. The alluvial basin belongs to the D category, according to the NEHRP standards. Kudo et al. (2002) determined the S-wave velocity structures at the Adapazarı basin using the spatial autocorrelation method (SPAC). They estimated the S-wave velocity to be approximately 1000 m/s or higher on the very hard soil at the SKR (40.737°N, 30.381°E) station, whereas they estimated small S-wave velocities in the soft layer (Vs of *230 m/s) and the intermediate hard layer (Vs of *440 m/s) in the heavily damaged area of downtown following the 1999 earthquake. The S-wave velocity values obtained in this study are very similar to the values of Kudo et al. (2002). We obtained a high S-wave velocity value (1120 m/s) at the bedrock and a low S-wave velocity value (300 m/s) at the soft soil in the study area. The Vs30 values were used in the classification map of the Esentepe Campus and the Serdivan and Beşköprü districts. The low S-wave velocity region is considered to be at very high risk for near-future earthquakes. Ozcep et al. (2013) investigated the shear wave velocity distribution at the Adapazarı basin using the MASW method. They also obtained amplifications using the reference station method and the fundamental periods using the single-station method at the station sites (Imar, Toyata, Şeker, Hastane, Babalı and Genç). They calculated the amplification and the fundamental periods at the Adapazarı basin range to be 1–8.4 and 0.1–1.1 s, respectively. They classified and mapped the average shear wave velocities for the top 30 m in accordance with the Eurocode 8 standard. They found that Hastane, Genç, Şeker and Babalı stations are located on Type D sites, Toyota station is located on a Type C site, and Imar is located on a Type B site. By comparing their results to our results, we found lower amplifications values. Although our study region is slightly different from those of previous studies, high velocities are obtained at the rock basin and low velocities are obtained at the alluvial and soft basin in Adapazarı and its surroundings. Ozcep et al. (2013) found that the amplifications obtained by Vs30 did not agree well with the data from the observed earthquakes in their study area. They highlighted the complex basin structure of the region as the reason for their result. As Ozel and Sasatani (2004) indicated, the Adapazarı basin is characterized not only by considerable amplification of the S-waves but also by long-period basin surface waves of long duration. They noted that, in basin structures of this type, Vs30 does not adequately represent amplifications that occur under actual earthquake conditions. For this reason, these types of complexity must be considered as specific conditions in the seismic design codes. The estimated fundamental frequencies together with the site amplifications and the average shear wave velocities are shown in Fig. 10. We found that the parameters are in agreement with each other. There is also a good correlation between cross sections AA0 and BB0 in Fig. 11. A lower velocity area, i.e., a small part of the campus region that is located behind the Faculty of Arts and Sciences area, is examined in the cross section AA’. This small area belongs to the D category according to the NEHRP standard. Beyond this area, the velocity values are higher 123 Fig. 9 Map showing average Vs30 variation in the study area obtained from the shear wave velocity profiles of sites shown in Fig. 3. Soil classification is given according to NEHRP site classification 1354 Page 12 of 15 123 Environ Earth Sci (2016) 75:1354 Fig. 10 Fundamental frequencies together with spectral ratios (H/V) and the average shear wave velocities (Vs30) Environ Earth Sci (2016) 75:1354 Page 13 of 15 1354 123 1354 Page 14 of 15 1000 Environ Earth Sci (2016) 75:1354 A' A 800 800 Vs30 700 600 500 400 300 200 500 400 300 200 fo 9 11 Fundamental Frequency, [Hz] Fundamental Frequency, [Hz] A' A 10 8 7 6 5 4 3 2 1 0 A' A 3.0 1.8 1.4 1.0 0.6 0.2 B' fo 9 8 7 6 5 4 3 2 1 0 B B' H/V 4.4 4.0 3.6 H/V ratio 2.2 B 10 4.8 H/V 2.6 H/V ratio Vs30 600 0 0 3.4 B' 100 100 11 B 700 Vs 30 Velocity, [m/s] Vs 30 Velocity, [m/s] 900 3.2 2.8 2.4 2.0 1.6 1.2 0.8 0.4 Fig. 11 Cross sections AA0 and BB0 for fundamental frequencies, spectral ratios (H/V) and average shear wave velocities (Vs30) compared to those of soft soil. 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