1 Introduction

The recent devastating earthquakes which occurred in Croatia, specifically in Zagreb and Petrinja once again revelated the inadequate seismic behavior of structures in the urban environment. This scenario can be connected to various factors, first of all, the age of the buildings, as most of these structures, are old buildings constructed more than 60 years ago. As well as, inadequate maintenance of buildings during their service life, poor quality of material, and deterioration of material during the time. This all has awakened the research community in Bosnia and Herzegovina (BIH) in the area of seismic assessment of existing structures, due to the similarity of building construction and the same building codes that were enforced for both countries, as before they were part of ex-Yugoslavia.

In order to evaluate the potential losses caused by moderate to high ground motions from the financial point as well as threats regarding the lives of the population, seismic risk assessment became a very powerful tool, which has been utilized not only by government agencies but as well by the owners. The results obtained by such an analysis can be used for mitigation strategies and making priority plans regarding possible strengthening procedures (Blyth et al. 2020, Kohrangi et al. 2021a).

To evaluate the seismic risk, it is necessary to obtain information on hazard, exposure, and vulnerability, all identified as probabilistic components (Kohrangi et al. 2021b). Hazard can be defined as the intensity and reoccurrence of the earthquakes in specific areas which is defined by the seismic hazard maps with a certain return period. Exposure is defined as the spatial distribution of elements at risks exposed to the seismic hazard, and vulnerability is defined as the behavior of the buildings exposed to seismic activities. Knowledge regarding a building’s behavior and its vulnerability is a piece of important information for the engineers as it provides information required for decisions regarding their strengthening measures which will lead to the reduction of vulnerability, an increase of building capacity, and as a consequence, the seismic risk will be reduced. The vulnerability of the building stock in the urban center is high as most of the structures are old structures, usually lacking adequate maintenance. Additionally, the exposure of the population is high due to the densely populated areas.

Depending on the available data different approaches can be used in the vulnerability assessment of existing buildings (Arto et al. 2020). In this research, the macroseismic method with the vulnerability index was applied for selected 203 buildings taking into account the site effects which have amplified the seismic impact on the structure’s vulnerability.

As far as the authors are aware, very scarce information is available regarding studies dealing with vulnerability assessment of existing buildings in Bosnia and Herzegovina. Most of the studies were done by individual researchers (Ademović 2011; Ademović et al. 2013, 2019, 2020). Vulnerability assessment in this region has not only been underestimated but to a much degree neglected. Until today to the authors’ knowledge, no seismic assessment of existing buildings and structures has been done in the Tuzla region.

To obtain the required data about the existing structures, survey forms are required (Vicente et al. 2014; Formisano 2016). In this specific case, the utilized database was the result of the European research project TABULA (IWU 2017) which was implemented from 2014 to 2016. The main goal of this project was to establish a connection between the typology of residential buildings and their energy efficiency (Arnautović-Aksić et al. 2016).

Apart from the usual aspects which are taken into account during the vulnerability assessment (construction time, structural type, number of stories, preservation state, etc.) (Işık 2016; Hadzima-Nyarko et al. 2017, etc.), in the recent studies influence of the geological effects have been taken into consideration for better and more accurate prediction of expected damage (Giovinazzi 2006, 2009; Chieffo and Formisano 2019). Barbat et al. (2010) performed a vulnerability assessment, with the influence of site effects, of the city of Barcelona which is located in low to moderate seismicity. The results showed high seismic vulnerability. The influence of soil was considered by increasing the estimated intensity in the macroseismic intensities and both deterministic and probabilistic scenarios were envisaged. The behavior of the building is dependent upon the local amplification effects, an inherent attribute of the site (Chieffo and Formisano 2019), emphasizing the importance of taking into account the geo-morphological effects. Seismic ground motion is highly dependent on the site effects (geology, geomorphology) which may either amplify or deamplify the seismic motions during their propagation before reaching the surface and affecting the foundation of the structures. It is not only the high-intensity magnitudes that cause a high level of ground shaking, but shaking may be amplified due to specific geological formulations in the low magnitude earthquakes. Cherif et al. (2016) conducted an assessment of 1102 buildings for obtaining the vulnerability factors. The intensity map was produced with soil effect based on the lithological map for both deterministic and probabilistic scenarios. Taibi et al. (2019) evaluated the seismic vulnerability of reinforced concrete structures in Algeria taking into account the site effects as defined in the Algerian codes and produced the fragility curves. A similar investigation was done in 2019 for more than 3000 residential buildings in Imzouren City (Northern Morocco) after the 2004 earthquake (Mw = 6.4) (Cherif et al. 2019), obtained results from the deterministic approach were congruent with the observed damage on the site.

Additionally, the duration of the strong ground motion is dependent on the soil conditions and all this has a direct implication of the level of damage of a structure (Giovinazzi, 2009). The local site conditions, besides affecting the frequency content, can have an effect on the duration of the strong ground motion. The 1985 Mexico earthquake showed how extremely soft clay layers amplified the motion of the ground shaking causing a collapse of high-rise buildings at a distance of 200 km from the epicentral location. Significant damage was observed after the 2011 Lorca earthquake, even though it was a fairly small event with Mw = 5.2 and a macroseismic intensity of VII (Cabañas 2014). Several factors contributed to such high earthquake actions, effects of a near-source and shallow depth (Cabañas, 2014), together with rupture directivity (López-Comino et al. 2012) The horizontal peak ground acceleration (PGA) reached a high value of 0.37 g, and calculated spectral amplification were up to 4 for frequencies of 7–8 Hz (Alguacil 2014). The level of damage was most probably increased by the soil-building resonances at several sites (Navarro et al., 2013). For specific soil conditions, the ground motion was amplified by the resonant effect and equated with the predominant eigen periods leading to major damages.

This work represents the continuation of work conducted by the authors for the City of Sarajevo and Banja Luka. The main goal of this article is to conduct a vulnerability assessment on 203 buildings taking into account not only the basic modifiers as construction type, construction year, number of floors, but as well putting the center of attention on the geo-hazard effects on the build-up areas. Due to the lack of available geotechnical data on this region, a lithological map was used. The locations were classified into two main categories B and C according to Eurocode 8 (EN 1998-1:2004).

2 Tuzla region

2.1 The historical background

The city of Tuzla is located in northeastern Bosnia and is the third most populated city in Bosnia and Herzegovina (Fig. 1). It represents the scientific, cultural, and economic center of this region. Tuzla is located in the valley of Jala river. Medium–high Mountain Majevica surrounds the city from the northeast and Spreča valley from the south. The urban area of Tuzla is located between 18°56′ and 18°79′ E and 44°48′ and 44°60′ N, at an altitude from 202 and 480 m.

Fig. 1
figure 1

Location of the city of Tuzla

Starting already from the Neolithic (young stone age) times until today, all the settlements in Tuzla were connected to the salt deposits and their excavation. The very center of the Tuzla city (present) was the location of the first Neolithic settlements. Millions of tons of salt are left behind by the old Pannonian Sea, when, more than 10,000,000 years ago, it withdrew from this area. The name of the city has always, through the time of its existence and in various languages connected with salt. The river Jala, which flows through Tuzla, bears the name derived from the Greek word Jalos, which means salt, while the city throughout its history, was called salt in various languages, from Castron de Salenes, Salenes (Greek), Ad Salinas (Latin), Soli (South Slavic), Memlehatejn (Arabic), Memleha-i Zir (Persian), to Tuz (Turkish) (Kožar 1995).

2.2 Seismicity and geological structures of the Tuzla region

The majority of the territory of BIH (83.2%) is identified as a seismic hazard area zone with the PGA up to 0.24 g, which is occupied by almost 90% of the entire population of Bosnia and Herzegovina (BAS 2018).

In recent history, Tuzla was hit by numerous earthquakes of low to moderate magnitude. On August 30th, 2019, an earthquake of magnitude mb = 4.7 and the intensity from V to VI according to the MCS scale hit an area located 6 km from Mramor a village located 10 km from Tuzla. Tuzla belongs to the North Eastern belt known as the Inner Dinaric Alps. This zone is characterized by the most important epicentral areas including Banja Luka, Derveta, Tuzla, and Skelani with reverse faults.

According to the National Annex of Bosnia and Herzegovina (BAS 2018), the peak ground acceleration (PGA) for Tuzla is 0.21 g (Fig. 2), note that PGA = agR.

Fig. 2
figure 2

a Seismic hazard map for Bosnia and Herzegovina (475 years) in the function of PGA (BAS 2018) b Interactive seismic map for the city of Tuzla (http://eurokodovi.ba/seizmika/)

The urban area spreads over an area of 98.37 km2 and is a residence to a population of 110,797 peoples (CBS 2013).

Dominant tectonic structures for Tuzla are left horizontal faults (NE-SW direction), right horizontal faults (NW–SE direction), and normal faults (Fig. 3). On the right side an extract from the seismotectonic map of BIH is presented showing the deep faults, then the so-called first and second-order faults, as well as labile geological blocks near Tuzla. Green marked circles indicate locations of frequently registered earthquakes: Mramor, Puračić, Gnojnica, Krtova, Dobošnica, and part of the terrain south of Srebrenik. The regional fault south of the Tuzla going above Banja Luka towards Kostajnica, Petrinja, and extents south of Zagreb accumulated a certain amount of seismic energy.

Fig. 3
figure 3

Geotectonic map of Bosnia and Herzegovina (Hrvatović 2005–2010); Seismotectonic map of Tuzla region (Photo: A. K./Klix.ba)

In the last 100 years, 58 earthquakes were selected that influenced the seismicity of the Tuzla region (Threat Assessment 2016). The maximum recorded magnitude by Richter’s scale was 5.1, the intensity was VII by MCS scale, focal depth at 10 km, which occurred on October 29th, 1974 in Dobošnica, around 19 km from Tuzla. During this period, 16 earthquakes with magnitudes between 5 and 7 were registered with intensities between VI and VII degrees on the MCS scale. This region is characterized by shallow earthquakes and the average value of the focal depth (58 earthquakes) is only 8.8 km.

The terrains of the Tuzla Canton are classified into 3 categories of MCS seismic intensity. The wider area of Tuzla in the northwest-southeast direction, from Puračići to the line connecting Tupkovići and Tojšići, from Banovići to the south to Gornja Tuzla in the north, belongs to the category of VII accruing to MCS. The terrain of Neogene basins southeast of Gračanica, between Kakmuž, Donja and Gornja Lohinja and Orahovica, belongs to the same category. Terrains south of the Sava, in a semicircle: Orašje, Žabar, Gornji Rahić, Brusnica, Tobut, Mezgraja, Čengić, and Bijeljina belong to “calmer” terrains of the Intensity V by MCS. They are composed mainly of loose and loosely bound materials and with few tectonic elements. All other terrains of Tuzla Canton belong to the intensity VI according to MCS. The maximum expected earthquake in the city of Tuzla is of VIII intensity by MCS scale, and 6.5 by Richter’s scale. The urban center of Tuzla City belongs mainly to VII intensity by MCS scale, while two regions are identified with a higher intensity (VIII) in the region of Pannonian lakes and Brđani (Fig. 4).

Fig. 4
figure 4

Seismic map of Tuzla Canton (Department of Urbanism Tuzla Municipality 2011)

Time variation of the seismic activity based on historical records and instrumental measurement of earthquakes indicates increased seismic activity in the area of Banja Luka, Tuzla, Zenica, and Herzegovina (Threat Assessment 2016). Having in mind the degree of urbanization of Tuzla Canton (TC), the number of floors of buildings, the character of the represented industry (chemical industry and mining), as well as knowledge of non-compliance with “seismic” construction buildings, it can be said that TC is a fairly seismically endangered area. The problem is complicated by the subsidence of the terrain in the urban part of Tuzla, as a consequence of uncontrolled exploitation of the salt deposit, in a longer period of time, as well as numerous industrial complexes near the most dangerous tectonic fault, in the municipality of Lukavac (Threat Assessment 2016).

The TC area has a complex geological soil structure characterized by weak physical–mechanical soil properties which, in unfavorable hydrological conditions and periods with long-term precipitation, are manifested as soil instability. The area of this Canton is built mostly of marly-clay and sandy sediments of the Neogene age. In the surface part, a layer thickness of 5–6 m is developed. This soil composition as well as the geomorphological properties of the terrain (mild to steep slope), together with intensive mining activity and uncontrolled urbanization, have led to the activation of a large number of landslides. In Tuzla on December 1st, 2014, the number of reported landslides was 2170 (Threat Assessment 2016). This has led to the production of an engineering geological map with marked active landslides which was used in this study and will be presented later in the paper.

The representatives of the oldest geological structures in Tuzla are the formations from Miocene dominated by organogenic limestone (known as “Slavinovićki” limestones and dolomites) with sporadic marls. Over time clasts have been deposited over them, with specific reddish color (sandstone and conglomerates). The continuation of the sedimentation cycle is made of lithological members dolomite, anhydrite, and tufts where the salt formation is located. All this is known as a “prugasta” eng. stripe series (Čerimagić 2019). Among many authors, this is recognized as “trakasta” eng. layered series (Čičić 2002; Čerimagić 2019). It should be mentioned that in the lateral parts this is known as “šarena” eng. colorful series (Torbarov and Jovanović 1978). The youngest Miocene is characterized by the organogenic limestones, clays, marly clays, sands, and subsidiary conglomerates (Fig. 5) (Čičić et al. 1991). The development of the lower Pliocene is characterized by the deposition of several seams of lignite. The bottom of the Tuzla basin is covered by the youngest Quaternary formations. The bottom surface of the basin is mainly covered by deposits made of semi-bonded and bonded fluvial terraces and alluvial sediments (sand and pebbles) (Lepirica 2013).

Fig. 5
figure 5

Geological map of Tuzla (Čičić et al. 1991)

Under the surface of Tuzla lies 650 million tons of salt rocks. The exploitation of the salt springs according to the written documents goes back to 1548. It is during the Austrian-Hungarian Empire that massive salt exploitation started in the Tuzla region. The first written documents regarding salt boiling were found in Greek writers Pseudo Aristotle and Strabon (Bakalović and Perić 2011). According to (Mancini et al. 2009a) Tuzla has sunk up to 12 m from 1956 until 2009, which thought the years had a damaging effect on building and infrastructure facilities. Bašić et al. (2012) as a result of their study produced a map indicating the risk induced by the salt extraction from the underground. In their study, they have concluded that the withdrawal of saltwater has triggered new hazards such as fast water table rise after the reduction in the extraction activities. Mancini et al. (2009b) analyzed the building risk assessment exposed to subsidence due to salt excavation identifying five risk zone classes from 1 (the lowest risk) to 5 (the highest risk).

Besides the above-mentioned peculiarity of the Tuzla region, rapid urbanization and identification of landslides in this region have dramatically increased the vulnerability of existing buildings, especially in areas with dense populations. Estimating the capacity of the build-up areas provides information on seismic vulnerability (Chieffo and Formisano 2020).

3 Database of buildings

3.1 Data resource used in the analysis

The study on the residential buildings in the urban area of Tuzla was performed from a database obtained from the project Typology of residential buildings in Bosnia and Herzegovina (Arnautović-Aksić et al. 2016). The typology database contains a collection of architectural and structural properties which was undertaken from 2014 to 2016, as well as energy performance of the surveyed buildings, throughout the entire territory of BIH, according to the predefined criteria and methodologyFootnote 1 for the purpose of energy assessment of the national building stock. Due to the lack of an official and systematic registry on the residential buildings stock in the country, this project launched the first-of-a-kind survey of a sample of 13,044 residential buildings, from single-family houses to apartment buildings and residential high-rises. The survey consisted of in-situ data collection and their subsequent statistical analysis. Albeit the objective of the research focused on energy consumption, the database itself contains valuable information on existing buildings, which may be used for further research, such as their location, size, form and urban micro-location, construction period, the overall arrangement in horizontal and vertical plans, external finishes, etc. Moreover, the quarter of the entire sample was recorded in more detail, resulting in data compilation on their materialization of the building envelope (roof, external walls), floors and horizontal construction, window types, heating systems, etc.

The application of the statistical and cluster analysis, as well as the inductive-deductive methodological framework, enabled the projection of the recorded data of the sample on the entire building stock in the country. This examination led to a classification of the recorded buildings into six typological groups according to their urban, architectural, and structural features, as well as into six chronological periods, based on the estimate of their construction period, in a timeframe from 1918 to 2014. The entire building stock was classified into the following six building types, two types of single-family houses (Type 1 and 2) and four types of collective housing (Types 4–6):

  • Type 1. Detached single-family houses,

  • Type 2. Terraced single-family houses,

  • Type 3. Multi-family houses,

  • Type 4. Attached apartment building in urban blocks,

  • Type 5. Apartment blocks, and

  • Type 6. High-rise buildings.

The database of the typology of residential buildings of BIH serves as a basis for different kinds of future analyses on the national level. On the other hand, it may further be utilized to study the topic at the level of particular urban areas, such as cities, towns, or municipalities, such as the city of Tuzla in this case.

3.2 Typology of sampled buildings

In this analysis 203 buildings in Tuzla were identified and elaborated. An almost equal percentage of buildings were constructed in the two periods, namely 1983–1991 (26.1%), from 1992 to 2014 (26.6%), however, the highest percentage of buildings were constructed in the period from 1964 to 1982 (42.9%). This period is characterized by the temporary technical standards for construction in earthquake areas that were enforced in 1964 and were effective until 1981. Only four percent of all buildings in the database belong to the period from 1946 to 1963. This is valuable information as the construction age can be indirectly connected with the enforced codes at that time and construction typologies. The vast majority of buildings are low-rise structures having one to two floors (66.5%), while 16.7% of all investigated structures are marked as high-rise buildings having more than 8 stories, and mid-rise buildings make up 16.7% of all built-up area (Fig. 6).

Fig. 6
figure 6

Characteristics of the examined buildings

The study is conducted in several regions in the city of Tuzla, where three types of masonry building typologies and one type of reinforced concrete buildings were identified. The structural typologies for masonry buildings are classified according to the RISK-UE Building Category MatrixMilutinovic and Trendafiloski (2003). Masonry buildings with wooden (flexible) floors marked as M3.1, masonry buildings with rigid floors marked as M3.4, and confined masonry buildings marked as M4. The reinforced concrete structures are marked as RC4 representing the dual system according to Milutinovic and Trendafiloski (2003). As for the typology of structures, URM with rigid floors is the most represented type. A little bit less than 50% are URM structures with rigid floors (47.8%), confined masonry makes up 33.5% of all structures, while URM with flexible floors makes up only 3.9%. Thirty reinforced concrete dual system (RC4) structures have been identified in this analysis and all of them are high-rise buildings having ten or more storeys (Fig. 6).

Low-rise single-family masonry buildings with wooden floors (M3.1) are mainly constructed in the period 1946–1960 and from 1961 to 1970. External walls are made of solid brick with thicknesses of 25 cm. Due to the lack of connection between the walls and the flexible wooden floor box behavior of the structure is not possible. Buildings for the collective housing built in the period from 1946 to 1960, had a maximum of three floors, and the slabs were constructed by semi-prefabricated concrete elements, making the structure horizontally rigid (M3.4). The loadbearing structure was made of solid brick with a wall thickness of 38 cm. From the mid-sixties, after the 1963 Skopje earthquake, the construction of confined masonry (M4) structures began and continued up to date mainly for individual houses, but not for all, while for collective housing reinforced concrete moment-resisting frames were used.

It should be mentioned that the first regulations in the Socialist Federal Republic of Yugoslavia (SFRY) limited the seismic share 2–3% of the weight of the building and were enforced in 1948. On the level of SFRY the second temporary seismic code was imposed in 1964 TTPCSR (1964) and was used until 1982. However, on the Republic level, Slovenia imposed their Republic Seismic Design Codes 40 days before the 26 July 1963 Skopje earthquake took place. The Seismic Code of 1981 entitled Technical Regulations for Design and Construction of Buildings in Seismic Regions (TRCBSR 1981), became effective from July 1982, 1 year after their publication, as there was a 1-year postponement due to the lack of accompanying seismic zoning maps. The revision of the seismic codes from 1964 started in 1975 and its completion was accelerated due to the occurrence of the Montenegro earthquake of 1979. A characteristic pattern of this code is that in seismic regions (MCS intensity ≥ VII degrees), it limits the minimum base shear to 2% of the seismic weight of the building (Milutinovic et al. 2017).

Besides the various types of masonry typologies in this study reinforced concrete dual system (RC4) structures were assessed, all are high-rise buildings having ten and more floors. The high-rise buildings are of square or rectangular plan and flat accessible roof. The structural system is a reinforced concrete frame with concrete shear walls (a dual system). The infill material is made of either hollow bricks or clay blocks of various dimensions.

As previously specified, the arrangement of the building typologies is presented in Fig. 7.

Fig. 7
figure 7

Distribution of location of surveyed residential buildings in Tuzla Canton (in total 203 buildings)

4 Macroseismic method

In EMS-98, qualitative descriptions were defined for five damage grades for intensity levels V to XII for six different vulnerability classes (A–F). According to the macroseismic method proposed by Giovinazzi and Lagomarsino (2001, 2004), the EMS-98 scale (Grünthal, 1998) represents the basis for the determination of the damage probability functions.

Table 1 gives a link between acronyms used for the description of the structural types they represent and the nominal EMS-98 vulnerability class.

Table 1 Link between acronyms used for the description of the structural types they represent and the nominal EMS-98 vulnerability class

The advantage of the indirect method is that in addition to the typology of buildings, it uses other characteristics of buildings that affect their vulnerability. In terms of numerical value, the vulnerability index function has an arbitrary value; for simplicity, values from 0 (best-designed buildings) to 1 (most vulnerable buildings) are taken. Figure 8 shows the vulnerability index which defines the affiliation of a building to a particular vulnerability class. In terms of fuzzy set theory, the vulnerability index membership function has a plausible range (χ = 1) and linearly plausible ranges. Table 2 shows the most likely value for each vulnerability class V0 according to the fuzzy definition. It also shows the limits (V and V+) of the possible range (χ = 1) and the upper and lower limits of its possible values (Vmin and Vmax) (Giovinazzi 2005).

Fig. 8
figure 8

Membership functions for vulnerability index, V for vulnerability classes A to F according to EMS-98 (Giovinazzi 2005)

Table 2 The values of vulnerability indices for vulnerability classes (Giovinazzi, 2005)

An analytical term is defined for the operational implementation of the methodology; therefore, the mean damage class μD is a function of macroseismic intensity I and depends on two parameters, the vulnerability index, V, and the ductility index, Q (Giovinazzi 2005):

$$\mu_{D} = 2.5\left[ {1 + \tanh \left( {\frac{{I + 6.25V_{I} - 13.1}}{Q}} \right)} \right]$$
(1)

I—macroseismic intensity, V—vulnerability index, Q—ductility index which describes the ductility of a certain structural type (ranging from 1 to 4).

The seismic behavior depends not only on the behavior of the structure but also on other factors, so an equation for the damage index has been proposed (Giovinazzi 2005):

$$V = V_{I}^{*} + \Delta V_{R} + \Delta V_{m}$$
(2)

where ΔVR—regional vulnerability factor, ΔVm—behavior modifier factor.

Since the seismic performance of buildings depends not only on the construction system but also on various factors such as quality, height, horizontal and vertical irregularities, etc., behavior modification factors are defined (shown for masonry and reinforced concrete structures in Table 3), Vm,k, for each typology of buildings according to equation (Giovinazzi 2005):

$$\Delta V_{m} = \sum\limits_{k} {V_{m,k} }$$
(3)

where Vm,k—behavior modifiers.

Table 3 Values for behavior modifier factors for masonry and RC4 buildings—

The behavior modifiers according to Milutinovic and Trendafiloski (2003) and extended by Lantada et al. (2010) for masonry buildings, and reinforced concrete structures of dual systems (RC4) as defined in Milutinovic and Trendafiloski (2003) are presented in Table 3 (only the ones that were taken in the study). Eight behavior modifiers were taken into account for masonry typologies and five for reinforced concrete (RC4) typology. Additionally, for both typologies, the influence of the site effects was taken separately into consideration.

After the devastating effects of the 1979 Montenegro earthquake, moderate code regulations regarding seismic actions were enforced in 1982. Mass implementation of RC frame systems started following the Skopje earthquake. The reinforced concrete buildings built in the period from 1948 to 1961 were considered as low earthquake-resistant structures, the construction period from 1964–1982 was classified as medium earthquake-resistance design level (ERDL), and high ERDL is marked to RC buildings constructed from 1982 onwards.

5 Amplification due to site characteristics

In the rapid vulnerability assessment, the damage scenario is obtained on a global scale. The vulnerability is dependent on the properties of the analyzed buildings (the type of construction, number of floors, the position of the structure, type of roof, etc.). However, to obtain more precise information regarding the structure’s vulnerability, it is important to take into account as well the geo-hazard effects within the vulnerability index method.

The first necessary data is the geology engineering map of the elaborated terrain. The geology engineering map (lithological map) of the Tuzla territory indicated four major soil classifications in the study area. The division is conducted regarding lithofacial composition and basic characteristics of the soil classification are provided. The area of assessed buildings belongs to one of five engineering geological units which are marked by numbers 8, 9, 15, 33, and 34 (Fig. 9). Table 4 describes individual engineering geological units (EGU) and a correlation with the soil classes as per Eurocode 8 (EN 1998–1:2004) is given.

Fig. 9
figure 9

Lithofacial map of Tuzla Canton (Department of Urbanism Tuzla Municipality 2011)

Table 4 Engineering geological units for the analyzed construction sites

According to the TC4-ISSMGE manual (1993; revised 1999) relation between the surface geology and the seismic intensity is obtained and the increment is provided by empirical relations if the expected hazard is denoted through the macroseismic intensity. Medvedev (1962) made a correlation between the geology units and the intensity increment (∆IM.M.I). He grouped different soils into nine groups, and for each group, a range of values indicating the intensity increment were provided, for example, the highest intensity was for moist fill and soil ground which was in the range from 3.3 to 3.9, and the lowest was for limestone, sandstone, and shale in the range from 0.2 to 1.3, using granite as the ethanol (value is equal to 0). On the other hand, Everdnden and Thomson (1985) classified the soil units into twelve categories provided with a single value of the intensity increment. The lowest value in the amount of 0.4 was for Paleozoic rock, while the highest intensity increment in the value of 1.5 was marked for two classes, Oligocene to middle Pliocene rocks and Alluvium (100 ft < water table). Midorikawa (1987) proposed a correlation between surface geology and PGA through the relative amplification factor (fag). His classification consists of Holocene, Pleistocene, Quaternary volcanic rocks, Miocene and Pre-Tertiary. Pre-Tertiary is taken as an etalon, giving a zero value for the ∆IM.M.I and the maximum value is 2.3 for Holocene. An increase in the intensity can be done according to the empirical correlation presented by Bard (1997) or according to expert opinions.

Faccioli and Pessina (2003) made a correlation between the soil classification provided in Eurocode 8 and the intensity increment when the EMS scale is considered (∆IEMS). Ground-type A, represented as rock or other rock-like geological formation, including at most 5 m of weaker material at the surface, with the shear velocity of Vs30 > 800 m/s, is taken as the ethanol, together with ground-type B, and the increment ∆IEMS for ground-type C which is classified as deep deposits of dense or medium – dense sand, gravel or stiff clay with thickness from several tens to many hundreds of meters is equal to 0.5, while for ground-type D the increment is equal to 1.0. The limit of this approach was that it is not able to capture the changes in the dynamic amplification linked to the fundamental frequencies of both the soil and the structure (Giovinazzi 2009). Giovinazzi and Lagomarsino (2004) in their work proposed a procedure for obtaining the vulnerability increment ∆V from the EC8 Ground Types and for different building categories. This procedure was applied for all construction types (masonry and reinforced concrete) in this study, taking into account the fundamental period for masonry structures as proposed in Eurocode 8, which is given by an Eq. (4)

$$T_{1} = 0.05 \times H^{0.75}$$
(4)

and for dual reinforced concrete structures defined in Eq. (5) as proposed by Jalali and Milani (2005)

$$T_{1} = 0.026 \times H^{0.85}$$
(5)

where H is the height of the building, in m, from the foundation or the top of a rigid basement.

The values of the fundamental period for masonry and reinforced concrete dual buildings are presented in Table 5.

Table 5 Fundamental period T1 for masonry and RC4 dual buildings

An example of the calculation for ground-type C is provided. A multiplier factor fPGA for Ground Type C is obtained according to Eq. (6)

$$f_{PGA} = S_{a} \left[ {T_{1} } \right]_{Soil\;K} /S_{a} \left[ {T_{1} } \right]_{Soil\;A}$$
(6)

and presented in Giovinazzi and Lagomarsino (2004). For low and medium-rise masonry buildings fPGA = 1.15, while for high-rise fPGA = 1.265, and high-rise reinforced concrete dual structures the obtained value is fPGA = 1.725.

Guagenti and Petrini (1989) proposed a relation between the Intensity increment ∆I and multiplier factor fPGA given by Eq. (7)

$$\Delta I = \, \ln \left( {f_{PGA} } \right)/0.602$$
(7)

This is valid when the connection between intensity and vulnerability is controlled by an analytical expression, providing vulnerability curves as an output (Giovinazzi and Lagomarsino 2004), as defined by Eq. (1).

The ductility index Q for masonry is equal to 2.3 (Basaglia et al. 2018; Lagomarsino and Giovinazzi 2006). Reinforced concrete buildings built before 1964 were considered low earthquake-resistant structures with a ductility index of 2.3. The construction period from 1964 to 1982 is classified as the moderate earthquake-resistance design level (ERDL), a value of ductility index of 2.6 was used. The period from 1982 to 1990 regarding the level of development of the seismic codes in ex-Yugoslavia would be considered as high, however as Tuzla according to the seismic maps valid at that time (1982) was identified to have an intensity of 6 by MCS, the structures are classified as low earthquake-resistant structure. The construction period from 1990 to 2005 was classified as medium earthquake-resistance design level (ERDL), a value of ductility index of 2.6, and for RC dual structures constructed from 2006 onwards a value of Q was taken to be equal to 3.1, as per (Giovinazzi 2005).

Once the intensity increment is obtained, vulnerability increment is calculated according to a linear relation given in Eq. (8)

$$\Delta V = \Delta I/6.25$$
(8)

Vulnerability index soil modifiers for Ground Type C evaluated for masonry typology buildings and reinforced concrete dual typology for various height classifications are shown in Table 6.

The same procedure was done for Class Type B.

Table 6 Vulnerability increment ∆V for masonry and RC4 dual buildings

6 Results

6.1 Damage probability matrices (DPM) and vulnerability curves

The occurrence probability of a specific damage level for dissimilar typological classes exposed to different seismicity levels according to the EMS-98 scale is expressed by the Damage Probability Matrices (DPM) (Grünthal 1998). Lantada et al. (2009) correlated the mean damage degrees and damage states. The relationship between the relation obtained by Lantada et al. (2009) with the damage level states according to EMS-98 (1998) is presented in Table 7.

Table 7 Damage states for mean damage degrees (Lantada et al. 2009)

The mean damage grades were calculated for the three types of masonry structures and the reinforced concrete dual buildings. The first calculation was done for the case of soil independence and secondly, the site effects were taken into consideration in respect to the build-up area of the selected buildings in this study. The damage grades for the five intensity levels are presented indicating various damage from no damage (D0) to total collapse (D5). As anticipated the type of floor had a significant effect on the behavior of the URM structures. Seismic resistance of URM structures with flexible floors (M3.1) is much lower in comparison to the URM with rigid floors (M3.4) and confined masonry (M4). A complete collapse of the M3.1 structures is expected for the intensity XI which is quite realistic. For intensity XI, total collapse may be expected even for reinforced concrete structures, and URM structures regardless of the floor type (Fig. 10). Out of 30 elaborated reinforced concrete dual system structures (RC4), 93.3% belong to moderate seismic code, while 6.67% belong to high ERDL. The second modifier which has the greatest effect on the behavior of RC4 structures is that all of these buildings are high-rise structures, having more than 9 floors.

Fig. 10
figure 10

Damage Probability Matrices for a RC4, b M3.1, c M3.4, and d M4 not taking into account soil effects

The site effect has a significant influence on the behavior of all types of structures, confirming that this is something that should be taken into account during the assessment of the existing structure. Disregarding the soil effect may lead to inadequate conclusions regarding the available capacity of the structure and its resistance which may be overestimated. Rather good behavior and lower damage levels are noted for confined masonry. This may be connected to the modifiers taking into account the height of the structure. The earthquake intensity level of VIII would cause slight damage to these types of structures while the same level of damage would be expected for lower intensities (one or two levels) for the other masonry structure typologies. The majority of the structures are low and mid-rise buildings up to 4 floors (83.3%) and the rest 16.7% are high-rise structures. For the case of maximum expected intensity VIII, depending on the typology, damage D1, defined as slight, to D4, defined as very severe can be expected (Table 8).

Table 8 Average values of mean damage grades for six levels of intensity not taking and taking into account soil effects

Damage probability matrices (DPM) with the implementation of the binomial distribution are obtained in the case of not taking into account the soil effects, as indicated in Fig. 10, and the case when the soil effects are taken into account as shown in Fig. 11.

Fig. 11
figure 11

Damage Probability Matrices for a RC4, b M3.1, c M3.4, and d M4 taking into account soil effects

From Fig. 10 it is evident that for different typology classes the binomial distribution has various positions where the highest coefficient is manifested. The highest coefficient is observed for the Damage grade D0 for typology class RC4 and M4 and intensity of earthquake equal to IV. So, for typology class M4 there is a probability of 96.6% that no damage will be observed on these types of structures due to intensity IEMS-98 = IV. Depending on the typology classes the probability of damage due to the highest intensity IEMS-98 = XII results in various percentages of probability damage. The highest damage percentage is observed for URM with flexible floors (86.9%), while the least probability is noted for confined masonry structures (50.2%). In the case of the highest intensity, 26.8% of the thirty RC4 structures would collapse.

In the case of VII and VIII earthquake intensity, which are the most probable intensities in this region, 63.7% and 36.7% respectably of confined masonry structures would experience no damage, in contrast to the URM structures with rigid floors (37.6% and 12.6% respectably). For intensity VII 15.1% of all URM with flexible floors would not experience damage, while only 2.5% for VIII intensity earthquake. RC4 structures exposed to VII intensity level would experience no damage for 69.1%, while for a higher intensity level this percentage is reduced by 32.4%.

Figure 11 shows the influence of the soil effects on the damage level and probability of damage for various typological classes and given intensities IEMS-98. For RC4 structures exposed to intensity level VIII and once site effects are considered, the percentage of structures that would be damaged-free decreased by 22.2%, while an increase of 13.2% is noted for structures that would experience moderate damage (damage level D2).

The soil effect for URM with flexible floors for the earthquake intensity of VII caused a decrease in damage grade 0 and 1, in almost the same percentage (4.78%, 5.01%), while an increase was observed in all other damages (2, 3, 4 and even 5) in the amounts of 2.21%, 5.24%, 2.25%, and 0.60% respectably. For intensity VIII, the largest increase is in the damage grade D4 and D5, which increases by 5.72% and 2.54% respectably. Looking at the URM with rigid floors, for intensity level VII, the impact of the site effect was the largest for the damage grade 2. In this case, an additional 8.14% of all buildings would experience moderate damage. In the case of VIII intensity, the highest increase was observed for damage class 3, where now 22.2% of all elaborated structures would experience significant to severe damage. Confined masonry structures exposed to earthquake intensity of VII taking into account site effect would cause an increase in the damage grade 1 and 2, together in the amount of 7.25%, with 61.0% in increase in damage grade 1, and 39.0% increase in damage grade 2. For the same earthquake intensity, for RC4 structures, if soil effects are considered a 19.8% decrease in the number of structures that would be free of damage, is detected. Once site effects are considered, an increase of 10.9%, 7.3%, and 1.4% is observed for damage grades 1, 2, and 3 respectably. Additionally, 0.12% of structures would experience very severe damage once soil effects are considered in the vulnerability assessment (Fig. 12). In the case of VIII intensity, 40.63% of all M4 structures would have slight damage, while 23.35% would be marked with moderate damage (5.2% increase compared to soil effect neglection). On the other hand, RC4 once exposed to this level of intensity would lead that twenty-five of the thirty RC4 structures would experience slight, and five structures would be damage-free. An additional 6.3% of RC structures once site effects are considered would experience significant to severe damage (D3), resulting in 8.4% of RC structures that would have this level of damage (Fig. 12).

Fig. 12
figure 12

Damage Probability Matrices for a RC4, b M3.1, c M3.4, and d M4 not taking into account soil effects for Intensity level VII

Average mean damage grades for the whole database, three types of masonry structure, and one type of reinforced concrete dual system structure (RC4) are shown in Fig. 13. It is evident that the type of slab has a direct impact on the behavior of structures due to ground motion, so the smallest damage is noted on the confined masonry structures, then on masonry structures with rigid floors, and the URM with flexible slabs would experience the highest damage. The behavior of RC4 buildings is as expected. The RC4 structures would experience the least damage out of all selected structures. This is directly connected to the level of seismic codes as the majority of these structures are constructed according to the medium and high-level seismic codes. The largest site effect impact is detected on these structures due to their location connected to the soil characteristics as opposed to the masonry structure types due to the location of the buildings. As expected, the URM buildings with flexible floors are to experience the heaviest damage in an earthquake event and the least damage would be experienced by confined masonry structures.

Fig. 13
figure 13

Average mean damage grades for the whole database

After obtaining the average mean damage grade for every structural type, the influence of all behavior modifiers which were considered is determined (solid lines), and the soil effect modifier is shown separately (dashed lines), as presented in Fig. 14 for RC4 structures. The influence of all modifiers including site effects is more emphasized for the lower intensities, as for intensity VI it reaches a percentage of 51.71, and for intensity VII 45.43 without taking the site effects. In the case of incorporation of the site influence, this difference increases by an additional 23.11% and 25.09% respectably. For the highest intensity, the difference regarding average mean grade value (AMGV) in relation to the smallest intensity is smaller 43.3 times. Using the maximum values for construction of the vulnerability curves would lead to an increase of the mean damage grades in the amount of up to 16.4% for intensity VI and VII earthquake in relation to the AMGV. The difference between the vulnerability curves obtained from minimum value and without using the modifiers is 41.51% for VI intensity and 40.96% for VII earthquake intensity, and this amount is increased by 17.74% and 17.84% respectably, once site effects are included.

Fig. 14
figure 14

Vulnerability curves for RC4 structures without and with soil effects

The behavior of masonry typologies is quite different in respect to the reinforced concrete dual system structures (RC4). Separate calculations were done for all masonry types, and vulnerability curves (without and with soil effects) are presented in Figs. 15, 16, 17. A similar pattern of the average mean damage grade regardless of the floor type was obtained, while confined masonry had some characteristic features. As most probably earthquake intensity shaking in the Tuzla region has been identified for VII and VIII intensity, M4 structures experienced an increase of the AMGV due to soil effects is 27.35% and 22.76% respectably. In the case of masonry structures with rigid floors, this increase was smaller and amounted to 20.04% and 15.46%. The reasoning for this lies in the fact that these buildings are low to medium-rise buildings in which case the soil effects were the smallest. Masonry structures with flexible floors had an increase of 15.88% and 10.57% respectably which can be connected to the fact that all eight buildings are low-rise buildings so the effect of soil even though they are located in the ground-type C is the smallest. The highest effect was noted on RC4 where the increase was 80.53% and 59.64% respectably. An increment of 66% was detected for local effects in the study conducted by Chieffo and Formisano (2019). The reasoning lies in the fact that two-thirds of all the RC4 structures are located in ground-type C and all are high-rise structures, all have ten or more floors. It has been confirmed that the local site effects and soil-structure interaction (SSI) are more noticeable in the case of soft soil formations and high-rise structures as found in Stewart et al. (1999).

Fig. 15
figure 15

Vulnerability curves for URM with flexible floors without and with soil effects

Fig. 16
figure 16

Vulnerability curves for URM with rigid floors without and with soil effects

Fig. 17
figure 17

Vulnerability curves for Confined masonry without and with soil effects

6.2 Vulnerability classes

Taking into account all the aforementioned, behavior modifiers for reinforced concrete dual system and three types of masonry structures obtained as a result of the visual inspection of each building and by applying the formulas (1), (6), and (8), the vulnerability index was calculated and the intermediate degree of vulnerability for each building, while the soil effects are separately calculated and shown. The average values of the vulnerability index and the behavior modifiers are shown in Table 9.

Table 9 Average values of the vulnerability index

The vulnerability index values are affected by the influence of various modifiers. This means that in some cases structures of lower vulnerability class will pass to higher vulnerability class. Looking specifically to the influence of the site effects, from 30 RC4 structures twenty-three were classified as D, and seven as E. After the implementation of the site effects, 26 were identified as C, and four as D. All URM buildings with flexible floors, once soil effects are taken into account became class A (50% were B classes). For masonry buildings with rigid floors before soil effects are incorporated in the calculation, 60% of all structures are classified as in B class, and 40% as C class. The soil effects influence the behavior of structure so after their incorporation in the calculation 2% of all structures became class A and the rest is classified in class B. Regarding confined masonry structures once soil effects were taken into account 22 buildings passed from class D to C, while nine moved from C to B, and one was identified as class A. So, once soil effects are taken into account 80.9% of buildings are in class C, 14.7% class B, 2.9% class D, and 1.5% class A.

The result for the whole database consisting of 203 buildings is presented in Fig. 18. After taking into account the impact of site effects on the vulnerability classes, it is seen that the percentage of vulnerability class A increased by 3.4%, while the same percentage of buildings was kept in vulnerability type C. After taking into account site effect the vulnerability class B has additional forty-one building. Forty-four buildings left class D, while after taking into account the soil effect no buildings of vulnerability class E remained.

Fig. 18
figure 18

Vulnerability class: a for the structural type not taking into account site effects, b after the influence of soil effects on all structures

The influence of the site effects on various types of structures in relation to different seismic intensity levels for summary purposes is given in Tables 10, 11, 12, 13. Table 14 presents how soil influences the EMS-98 vulnerability class and a modified vulnerability class is obtained.

Table 10 Percentage of buildings with different damage grades for vulnerability classes (not) taking into account soil effects for various earthquake intensities for URM with flexible floors
Table 11 Percentage of buildings with different damage grades for vulnerability classes (not) taking into account soil effects for various earthquake intensities URM with rigid floors
Table 12 Percentage of buildings with different damage grades for vulnerability classes (not) taking into account soil effects for various earthquake intensities for Confined Masonry
Table 13 Percentage of buildings with different damage grades for vulnerability classes (not) taking into account soil effects for various earthquake intensities for reinforced concrete dual systems
Table 14 Distribution of buildings per structural type and effect of soil on the vulnerability class

6.3 Simulation of the results on the selected urban block in Tuzla

According to the provided data from the TABULA database, a block with all typologies was identified as shown in Fig. 19. The ground type identified according to Eurocode 8 was C and according to the lithofacial map of Tuzla Canton (Fig. 9), and the number of EGU was 33 according to Table 3. This area has been recorded by unmanned aircraft systems (UAS) (Fig. 19b), commonly known as drones. So, the obtained data in TABULA was additionally verified together with the information kindly provided by the Service for Physical Planning and Environmental Protection of Tuzla Municipality.

Fig. 19
figure 19

Selected urban block in Tuzla b Aerial photo of the site (DRONE)

The damage grades for this block were calculated for earthquake most probable earthquake intensity VII, maximum possible intensity VIII, and in the case of IX earthquake intensity. In all the cases the first calculation did not take into account the site effects, while in the second case, the impact of specific site effect (in this case Type C) was incorporated. For earthquake intensity VII, most of the structures would experience slight damage, while six confined masonry buildings would experience no damage at all. These buildings are all mid-rise structures, two of them were constructed in the period from 1982 to 1991, and the remaining four were reconstructed in the period from 2000 to 2010.

Fig. 20
figure 20figure 20

Damage grades of the selected urban block a VII without soil effects, b VII with soil effects; c VIII without soil effects, d VIII with soil effects; e IX without soil effects, f IX with soil effects

In the case of the highest expected earthquake intensity (VIII) in the city of Tuzla, the damage state of the building increases. With the inclusion of the site effects, the URM building with flexible floors would experience significant to severe damage, and only one URM building with rigid floors (Fig. 20). All the rest of the URM buildings with rigid floors would experience moderate damage with and without site effects, with exception of one building that would have significant to severe damage with the inclusion of the site effects. Rather good behavior is observed for confined masonry structures in which case out of 13 buildings, 92.3% would have slight damage and only one building would experience moderate damage in the case site effects were neglected. Once site effects are taken into account the situation dramatically changes, where 53.9% would experience moderate damage, while 46.1% would experience slight damage. The RC4 building inside of the block has fourteen storeys, and once site effects are incorporated in the analysis, it would experience from slight (for intensity VII) to moderate damage (intensity IX) in comparison to the case when site effects are not considered where the largest level of damage would be sight (for intensity IX). It should be noted that in all cases the values are close to the upper limit of the damage interval.

7 Conclusion

Tuzla, as the third-largest and populated city in Bosnia and Herzegovina, was chosen to be analyzed in this study. Tuzla with the PGA of 0.21 g is considered to be in the medium to high seismicity range.

The analyzed structures belong to various construction periods leading to structural heterogeneity. The data-based used in this analysis was taken from the typology of residential buildings of the BIH project which was used to establish a connection between the typology of residential buildings and energy efficiency. Thermal radiography enabled the identification of the type of vertical and horizontal construction systems which was used for the classification of the buildings in certain typologies. The identified typologies were masonry buildings with various types of floorings, flexible floors (M3.1), rigid floors (M3.4), confined masonry (M4), and reinforced concrete dual systems (RC4), according to the acronyms in the EMS-98 scale.

The macroseismic method with the vulnerability index was used for the creation of vulnerability curves and assessment of damage for various intensity scales according to the EMS-98. This simple method has confirmed its applicability in the case of scarce information as a powerful tool for vulnerability assessment of existing buildings.

The analysis was concentrated on the most probable intensities VII and VIII. In the case of the lower intensity, the best behavior was noted for RC4 structures. In the case of an intensity increase to VIII, 38.40% of structures would experience slight damage, while 12.62% of structures would have moderate damage if no soil effects are considered, and if local effects are to be taken into account an increase of structure that would experience significant to severe damage increases by 6.32%. The highest increase in the soil effect impact was observed in RC4 structures due to the type of soil where the buildings were located and the height of the buildings, all classified as high-rise structures. For the intensity VIII, 32.51% of all URM floors with flexible floors would experience significant to severe damage and 17.78% would have very severe damage if no site effects are considered. In the case of inclusion of site effects this percentage increases by 1.87% and 5.72% respectably. In the case of M3.1 after considering the soil impact all structures pass to vulnerability class A. In the case of earthquake intensity VII, 17.57% of the URM with rigid floors would experience moderate damage if no local soil characteristics are considered, while this percentage increases by 4.60% if the ground type is taken into account. The behavior of confined masonry was rather good because most of the structures were of low-rise buildings. Slight damage would be manifested in 34.46% if the site effects are considered, while 30.04% if not. Thus, it has been detected that the local site effects provide the largest impact on the seismic intensity in the case of RC4 structures.

In the case of VII and VIII earthquake intensity, which are the most probable intensities in this region, taking into account soil effects, confined masonry structures would experience no damage for a large number of structures (55.94% and 28.29% respectably), in contrast to the URM structures with rigid floors (30.11% and 8.37% respectably). For intensity VII only 10.32% of all URM with flexible floors would not experience damage, while an insignificant number of 1.35% of these buildings would have no damage for VIII intensity earthquake (site effects considered). 49.3% of the built area of RC4 structures exposed to VII intensity level would experience no damage (taking into account soil effects), while for a higher intensity level this percentage is reduced by 50.3%. In this specific case, the behavior of confined masonry showed better performance in relation to the RC4 structures due to the location of the buildings, specific site effects at that location, and the fact that all RC4 buildings are high-rise structures having more than nine floors.

One selected block was analyzed due to its heterogeneity and various damages have been observed for different structures and the influence of the site effects have been presented.

From this study and obtained results, it may be concluded that the site effects play a dominant role in the assessment of the vulnerability of existing structures in the urban area of Tuzla city under moderate to high-intensity ground motion. Disregarding the site effects would lead to inaccurate results leading to underestimation of damages and overestimation of the capacity of existing buildings.

This is a pioneer work in this field in the Tuzla region, BIH, and can be the starting point for further and more extensive analysis in this urban center, as well as in other urban areas in the country. It is believed that this approach with slight modifications can be applied to other cities in BIH and the entire Western-Balkan countries due to the same building class typologies.