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Citation: Estêvão, J.M.C.; Morales-Esteban, A.; Sá, L.F.; Ferreira, M.A.; Tomás, B.; Esteves, C.; Barreto, V.; Carreira, A.; Braga, A.; Requena-Garcia-Cruz, M.-V.; et al. Improving the Earthquake Resilience of Primary Schools in the Border Regions of Neighbouring Countries. Sustainability 2022,14, 15976. https://doi.org/10.3390/ su142315976 Academic Editors: Vittorio Rosato, Maurizio Pollino, Sonia Giovinazzi and Paolo Clemente Received: 31 October 2022 Accepted: 23 November 2022 Published: 30 November 2022 Publisher’s Note: MDPI stays neutral with regard to jurisdictional claims in published maps and institutional affiliations. Copyright: © 2022 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/). sustainability Article Improving the Earthquake Resilience of Primary Schools in the Border Regions of Neighbouring Countries João M. C. Estêvão1,2,* , Antonio Morales-Esteban 3, Luis F. Sá4, Mónica A. Ferreira 5, Bruno Tomás1, Carlos Esteves 1, Vítor Barreto 1, Ana Carreira 1, Alfredo Braga 1, Maria-Victoria Requena-Garcia-Cruz 3, Emilio Romero-Sanchez 3, Jaime de-Miguel-Rodriguez 3, Maria-Luisa Segovia-Verjel 3, Beatriz Zapico Blanco 3 and Carlos Sousa Oliveira 5 1Department of Civil Engineering, ISE, University of Algarve, 8005-217 Faro, Portugal 2 CIMA—Centre for Marine and Environmental Research, UAlg, Campus de Gambelas, 8005-139 Faro, Portugal 3Department of Building Structures and Geotechnical Engineering, University of Seville, 41004 Seville, Spain 4Autoridade Nacional de Emergência e Proteção Civil, 2794-112 Carnaxide, Portugal 5CERIS—Instituto Superior Técnico, 1049-001 Lisboa, Portugal *Correspondence: [email protected]; Tel.: +351-289-800-154 Abstract: This work summarises the strategy adopted in the European research project PERSISTAH. It aims to increase the resilience of the population, focusing on the existing primary schools in the Algarve (Portugal) and Huelva (Spain) regions. Software was developed to assess the seismic safety of these schools, considering different earthquake scenarios. Seismic retrofitting measures were studied and numerically tested. Some of them were also implemented in the retrofitting activities of two case study schools (one in each country). It was found that the adopted ground motion prediction equations (GMPEs) considerably affect the results obtained with the software, especially for offshore earthquake scenarios. Furthermore, the results show that the masonry buildings would be the most damaged school typologies for all the scenarios considered. Additionally, a set of guidelines was created to support the school community and the technicians related to the construction industry. The goal of these documents is to increase the seismic resilience of the population. Different activities were carried out to train schoolteachers in seismic safety based on the guidelines produced, obtaining positive feedback from them. Keywords: earthquake resilience; school buildings; earthquake scenarios; pushover analysis; risk education; PERSISTAH 1. Introduction One of the 17 Sustainable Development Goals (SDGs) that were adopted by the United Nations (UN) [ 1 ] includes resilience (goal 11: Make cities and human settlements inclusive, safe, resilient, and sustainable). In this context and in earthquake-prone regions, improving the earthquake resilience of communities is a very important issue. There are many definitions of resilience, with different types and dimensions [ 2 , 3 ]. Despite that, it seems evident that post-traumatic disturbance after an earthquake considerably depends on the resilience of the population [ 4 ]. This might be a relevant problem in schools due to the possible presence of very young children. This is even more problematic in primary school buildings. Therefore, it is crucial to improve the earthquake resilience of this type of construction to reduce the impact of catastrophic situations in the education system. In fact, school buildings have presented important seismic damage all over the world [ 5 – 9 ]. This can also be related to the relative position of school buildings to the earthquake rupture [ 10 ]. The reduction in the seismic risk is the result of a combination of actions, processes and attitudes aiming to improve resilience. These can be divided into three main groups of activities [ 11 ]: prevention (usually by building schools in proper locations and with an adequate seismic resistance), mitigation (by retrofitting the most vulnerable buildings and Sustainability 2022,14, 15976. https://doi.org/10.3390/su142315976 https://www.mdpi.com/journal/sustainability
Sustainability 2022,14, 15976 2 of 24 communicating this need to teachers, students and the whole community where the school is placed, for example), and preparation (by creating emergency plans, training in the earthquake context, producing guidelines for teachers and learning materials for students about this issue, and alerting the community to the seismic risk). In this context, civil protection agencies usually promote the development of tools for risk and crisis management, aiming to increase the protection of people and property against earthquake disasters. Regarding the existing school buildings, prevention is not an option: it is not possible to change their location. Additionally, they might not have enough seismic resistance due to their construction date. In fact, they might not comply with the requirements of new seismic codes. To solve this problem, the only possible solution is to carry out activities related to mitigation and preparation. The existing methods for the seismic vulnerability assessment of buildings can be divided into three major groups [ 12 ]: the empirical methods, usually based on statistical mean data obtained in post-earthquake scenarios and in expert knowledge; the analytical/mechanical methods, which are normally based on structural analyses to assess seismic safety according to different limit states (LS); and the hybrid methods, which gather characteristics of the other two methods. The empirical methods are more suitable for large-scale seismic risk studies. The analytical/mechanical methods seem to be more adequate to study individual buildings. This is due to the possible differences in the results of each type of approach, as shown by recent studies [13]. The seismic vulnerability of the structural elements of school buildings is of great importance. In fact, it can lead to the collapse of the building. However, it is also important to understand the seismic behaviour of non-structural elements. Recent tests, carried out on shaking tables, highlighted the effects of earthquakes on non-structural elements that usually exist in buildings [ 14 ]. This might be especially important in buildings presenting low seismic vulnerability, or in general when buildings are subject to low levels of vibration. This is especially important when there is the possibility of a high concentration of people, as in school buildings. Past earthquakes seem to evidence the key role that schools have with regard to society in the event of an earthquake and at different levels [ 15 ]. Besides their importance regarding seismic performance, it is also necessary to ensure that teachers are trained. They can better transmit their knowledge about earthquakes to the students but also act accordingly in case of a seismic emergency [ 16 , 17 ]. The importance of schools in the seismic resilience of a modern society is the goal of many studies. These adopt a wide range of strategies based on the requirements of each country where the study is carried out. In addition, they bear in mind the number of school buildings that are studied. Thus, it is necessary to understand the real structural behaviour of each school building, either through laboratory studies [18] or complemented through numerical studies. Recent works using more rigorous analytical methods have been normally carried out only for individual buildings, such as schools or hospitals. In this context, it is usual to adopt nonlinear static analyses [ 19 – 23 ] or nonlinear dynamic analyses [ 24 – 29 ]. The latter are more rigorous, but they require more computational effort. These aspects should be considered in the case of large-scale studies. However, the use of these methods is also the best way to understand the influence of the level of conservation on the seismic safety of schools [ 30 ]. They are also useful to evaluate the effectiveness of seismic retrofitting measures [ 31 , 32 ]. Simplified empirical methods are widely applied as well [ 33 ]. Contrariwise, these are essentially supported by visual inspections and expert knowledge and can be easily applied to a large number of schools [34,35]. For large-scale studies on the seismic safety of schools, it is common to use algorithms from other scientific areas, using empirical information to maximise the accuracy of the results. Such is the case of machine learning (expert systems, genetic algorithms, and neural networks, for example) [ 36 – 38 ], as well as the development of specific computer tools [39,40].
Sustainability 2022,14, 15976 3 of 24 It should be noted that earthquake effects cross borders between countries. Therefore, studies should not be limited by these national borders, such as is the case of the European research project PERSISTAH (Projetos de Escolas Resilientes aos SISmos no Território do Algarve e de Huelva, in Portuguese, or Projects of Earthquake-Resilient Schools of the Algarve and Huelva, in English). The area under study is the Algarve (Portugal) and Huelva (Spain) provinces, which are next to each other near the Portugal–Spain border. The project is focused on the agreements of Hyogo [ 41 ] and Sendai [ 42 ] on the cooperation to reduce countries’ seismic risk. The research steps of the project are outlined in Figure 1. First, a survey of the existing primary schools in the regions under study was carried out to create a database. Then, nonlinear structural analyses of a set of school buildings of different construction dates and structural systems were carried out. The outputs of these analyses were added to a software that was developed in the context of the PERSISTAH project. This allows us to perform the seismic assessment of individual school buildings and create ranked lists based on their individual safety. These lists can be instantly exported to a KML file and displayed in Google Earth, or in Google Maps, with a colour scale. Additionally, this allows us to place the maps with the results on a website with an intuitive and interactive interface. This information is especially useful for civil protection authorities. The results are helpful to support mitigation and preparation activities (from enhancing emergency planning to facilitating technical training and exercises, in the civil protection context). Furthermore, it enables us to improve the risk communication to the population. After identifying the most vulnerable school typologies, two case study schools were selected for their seismic retrofitting (one located in the Algarve and the other in Huelva). Training actions were also carried out for teachers and for the technical community of the two regions under study. Several guides were produced to support teachers, students, and civil construction technicians. Sustainability 2022, 14, x FOR PEER REVIEW 3 of 26 Contrariwise, these are essentially supported by visual inspections and expert knowledge and can be easily applied to a large number of schools [34,35]. For large-scale studies on the seismic safety of schools, it is common to use algorithms from other scientific areas, using empirical information to maximise the accuracy of the results. Such is the case of machine learning (expert systems, genetic algorithms, and neural networks, for example) [36–38], as well as the development of specific computer tools [39,40]. It should be noted that earthquake effects cross borders between countries. Therefore, studies should not be limited by these national borders, such as is the case of the European research project PERSISTAH (Projetos de Escolas Resilientes aos SISmos no Território do Algarve e de Huelva, in Portuguese, or Projects of Earthquake-Resilient Schools of the Algarve and Huelva, in English). The area under study is the Algarve (Portugal) and Huelva (Spain) provinces, which are next to each other near the Portugal–Spain border. The project is focused on the agreements of Hyogo [41] and Sendai [42] on the cooperation to reduce countries' seismic risk. The research steps of the project are outlined in Figure 1. First, a survey of the existing primary schools in the regions under study was carried out to create a database. Then, nonlinear structural analyses of a set of school buildings of different construction dates and structural systems were carried out. The outputs of these analyses were added to a software that was developed in the context of the PERSISTAH project. This allows us to perform the seismic assessment of individual school buildings and create ranked lists based on their individual safety. These lists can be instantly exported to a KML file and displayed in Google Earth, or in Google Maps, with a colour scale. Additionally, this allows us to place the maps with the results on a website with an intuitive and interactive interface. This information is especially useful for civil protection authorities. The results are helpful to support mitigation and preparation activities (from enhancing emergency planning to facilitating technical training and exercises, in the civil protection context). Furthermore, it enables us to improve the risk communication to the population. After identifying the most vulnerable school typologies, two case study schools were selected for their seismic retrofitting (one located in the Algarve and the other in Huelva). Training actions were also carried out for teachers and for the technical community of the two regions under study. Several guides were produced to support teachers, students, and civil construction technicians. Figure 1. Flowchart of the PERSISTAH project approach and some inputs–outputs. Figure 1. Flowchart of the PERSISTAH project approach and some inputs–outputs. As mentioned, owing to the difficulties of large-scale seismic risk studies of schools, it is usual to simplify the seismic vulnerability assessment procedures. However, this entails a substantial increase in uncertainty regarding the reliability of the results, which is often unknown. The innovative feature of the PERSISTAH project is related to the use of the most advanced structural analysis methods that are established in the Eurocodes for the large-scale assessment of school buildings. To do so, a computer tool, which allows us to improve the knowledge about the main factors that may influence the seismic behaviour of
Sustainability 2022,14, 15976 4 of 24 school constructions, was developed. This information was also included in the guides that were created to help civil construction professionals. More than just thinking about creating a finished, watertight product, which often characterises this type of research project, it was sought to create a methodology and a set of tools that can be continuously updated, namely for civil protection purposes. 2. Developing a Computational Strategy for the Seismic Assessment Software was developed in the framework of the PERSISTAH project due to the high number of primary schools in the Algarve–Huelva regions. The main goal of this software is to identify school buildings that do not comply with the safety criteria established in the seismic codes that are mandatory in each country. The software was developed in Object Pascal (Delphi) and consists of several modules (Figure 2). These modules are associated with a set of independent, yet fully interconnectable, computational objects [ 43 ] that resulted from the dismemberment of previously developed software, such as SIMULSIS [ 44 ]. This feature gave the new software unique characteristics since it inherited the attributes of the original computer programmes in a symbiotic way, such as the user interfaces. Sustainability 2022, 14, x FOR PEER REVIEW 5 of 26 Figure 2. Global organisation of the PERSISTAH project software. 2.1. Schools Database The data about schools were gathered and included in a database. Similar information was obtained for schools of each country and used in the adopted seismic safety assessment procedure. Instead of using a generic database software, a specific database was developed adopting some innovative strategies. Such is the case of the creation of a visual system that allows the user to easily have access to information about schools. The database allows us to save that information and export it to external software since it is georeferenced. It enables the creation of a KML file to use in Google Earth or MS Excel files directly through the clipboard. In total, 281 primary schools in the Algarve–Huelva region were added to the database. Each school campus might be composed of several buildings or structurally independent modules. In some cases, these buildings were built at different times, and they might present different structural systems. Therefore, evaluating their seismic safety with high accuracy is difficult to accomplish. 2.1.1. Primary Schools in the Algarve Region (Portugal) Many of the existing school buildings in the Algarve were built with standardised designs. This facilitated the study of their seismic safety given the high number of existing Figure 2. Global organisation of the PERSISTAH project software.
Sustainability 2022,14, 15976 5 of 24 2.1. Schools Database The data about schools were gathered and included in a database. Similar information was obtained for schools of each country and used in the adopted seismic safety assessment procedure. Instead of using a generic database software, a specific database was developed adopting some innovative strategies. Such is the case of the creation of a visual system that allows the user to easily have access to information about schools. The database allows us to save that information and export it to external software since it is georeferenced. It enables the creation of a KML file to use in Google Earth or MS Excel files directly through the clipboard. In total, 281 primary schools in the Algarve–Huelva region were added to the database. Each school campus might be composed of several buildings or structurally independent modules. In some cases, these buildings were built at different times, and they might present different structural systems. Therefore, evaluating their seismic safety with high accuracy is difficult to accomplish. 2.1.1. Primary Schools in the Algarve Region (Portugal) Many of the existing school buildings in the Algarve were built with standardised designs. This facilitated the study of their seismic safety given the high number of existing schools. However, it was not possible to analyse all the buildings of the 142 schools that were included in the database because the structural configurations of the buildings were rather different. Thus, the study focused on studying the buildings that could be more vulnerable based on their characteristics: (i) traditional masonry buildings; (ii) reinforced concrete (RC) structures constructed prior to the application of the seismic codes in Portugal; (iii) existing buildings with much lower seismic requirement levels than those currently established by Part 1 of Eurocode 8 (EC8-1) [ 45 ] and the respective National Annex (NP EN 1998-1:2010 [46]). Some of the most vulnerable constructions are the oldest masonry school buildings. It should be noted that these buildings were constructed according to a set of standardised designs developed for the Algarve by several architects before the first Portuguese seismic code. They are part of the so-called “Plano dos Centenários”. Examples of these designs are those created by Raul Lino in the 1930s, Alberto Braga de Sousa in the 1940s or Fernando Peres in the 1950s. In this case, it was possible to gather information of the architectural designs of most of those schools. Additionally, documents related to the construction works were also available. Therefore, it was possible to carry out the structural analysis of many buildings belonging to these typologies. Many of these buildings are still functioning as schools; others are occupied by Administrations [47]. The following standardised designs date from the 1970s. In this case, this group of buildings has RC structures. The architecture designs of the so called “P3” schools were created at this time. This is an RC typology commonly found in the Algarve. Unfortunately, no structural blueprints were found. Fortunately, these buildings present columns and beams with exposed concrete. It was possible to identify the location of the reinforcements, as well as the mechanical properties of the materials, based on the results of in situ nondestructive testing procedures. This knowledge allowed the determination of capacity curves [48]. In the case of most modern schools, each building has its own design, not following standardised ones. 2.1.2. Primary Schools in the Huelva Region (Spain) In Huelva, a total of 139 primary schools (269 different buildings) were identified. First, they were grouped according to their structural system and to their date of construction. Later, they were classified according to their geometry and their volumetry. It was found that 82% of the buildings were constructed with RC frames, 13% with unreinforced masonry walls and 4% with steel frames. It was not possible to identify the structural system of only 1% of the buildings.
Sustainability 2022,14, 15976 6 of 24 Regarding the construction date, 48% of the buildings were built during the 1970s and 1980s; therefore, they were built before the application of seismic codes in Spain. Most of the masonry buildings were built before 1970, while the RC buildings were mainly constructed after that period (1970s–1980s). Regarding the geometry, they were classified into six different groups according to the aerial views and on-site visits: compact, linear, prism, intersection, juxtaposition, and sportive. It was found that 36% and 34% of them are compact or linear, respectively. The compact buildings are characterised by a square shape, while the linear structures are rectangular. Further information on the classification of the buildings can be obtained in [49]. 2.2. Seismic Action This is a module of the developed software in which it is possible to select the seismic action to be used in the seismic safety assessment of each school building. Different types of seismic actions can be selected: (i) the code-based seismic action, mandatory in each municipality where the school is located, to verify the compliance of the legal requirements; (ii) the seismic action resulting from a given earthquake scenario, to support civil protection activities. 2.2.1. Code-Based Seismic Action In this case, the seismic action is represented by the EC8-1 response spectrum. A computational object was created with different subclasses, one for each country. The same computer routines were always used, regardless of the country, the region, and the municipality. Therefore, the results were more easily obtained. For the Algarve, the response spectra established in the mandatory NP EN 1998-1:2010 [ 46 ] were implemented. For Huelva, the current Spanish seismic code, the NCSE-02 [50], was implemented. By using this software, it was easier to compare the differences between the maximum values of the design ground acceleration for schools in the border regions of the Algarve and Huelva. The peak acceleration a g of the EC8-1 (Equation (1)), which depends on the reference peak acceleration (agR) and on the importance factor (γI), is equal to: ag=agR ·γI(1) It is evident that the seismic hazard does not bear in mind borders between countries. Therefore, the seismic codes of each country should not present very different values. In fact, this is the idea on which the European Seismic Hazard Model (ESHM) was based, which supported the creation of the ESHM13 [ 51 ] and the new ESHM20 [ 52 ] models. Contrary to this idea of harmonisation, it was possible to observe very significant differences on the border between Portugal and Spain (Figure 3). This is due to two reasons: (i) the reference peak ground accelerations (agR) are higher in the Portuguese seismic code for the Algarve region; (ii) the importance factor for schools is higher than one in the NP EN 1998-1:2010 for the Algarve region, while this value is equal to one in the NCSE-02 for the Huelva region. From a practical point of view, the return period (T R ) of the seismic action that must be used to check the safety of schools in the Algarve is 821 years, in accordance with the Portuguese National Annex of Part 5 of Eurocode 8 (EC8-5) [ 53 ], while in the region of Huelva, the Spanish NCSE-02 adopts TR= 475 years. 2.2.2. Earthquake Scenarios This functionality implemented in the developed software enables the definition of earthquake scenarios. This is particularly useful for the civil protection authorities since it allows us to assess the possible impact of this natural phenomenon on the evaluated schools. For each earthquake occurrence scenario, it is necessary to define the magnitude of the event, the characteristics of the rupture (which can be a point source, a line, or a plane), the type of seismic fault, and the geographic location of the earthquake rupture. It seems evident that it is not scientifically correct to idealise earthquakes of any magnitude and location. This may lead to effects on school buildings whose probability of
Sustainability 2022,14, 15976 7 of 24 occurrence is quite low. In this work, to illustrate the potential of the software developed, scenarios whose magnitudes are stipulated in official documents were chosen [ 53 ]. Their locations are selected according to the seismic faults identified in international scientific publications, or where earthquakes have occurred in the past. Sustainability 2022, 14, x FOR PEER REVIEW 8 of 26 Figure 3. Values of ag that are established in national codes for the primary school buildings placed in the regions of the Algarve and Huelva (range between a maximum 3.90 m/s2, in the Algarve region, and a minimum 0.61 m/s2 in the Huelva region). At the border, the discontinuity is from 2 to 1. It seems evident that it is not scientifically correct to idealise earthquakes of any magnitude and location. This may lead to effects on school buildings whose probability of occurrence is quite low. In this work, to illustrate the potential of the software developed, scenarios whose magnitudes are stipulated in official documents were chosen [53]. Their locations are selected according to the seismic faults identified in international scientific publications, or where earthquakes have occurred in the past. It is not usual for seismic codes to establish the magnitude of the earthquakes for a given seismic action because they express seismic actions throughout a uniform probability response spectrum. Therefore, they do not correspond to an isolated event and location, but to a set of seismic events related to a certain probability of exceedance. Nevertheless, hazard disaggregation analyses [54] can enable the establishment of scenarios for the occurrence of earthquakes with return periods consistent with those established in a seismic code. To do so, two types of events were selected according to the magnitudes indicated in the Portuguese National Annex of the EC8-5 [53] for liquefaction studies in the Algarve region: an offshore far-field earthquake with magnitude M = 7.7, and a nearfield earthquake with magnitude M = 5.2. Both correspond to a return period of 821 years. For a return period of 475 years, the magnitudes for these two scenarios are M=7.4 and M = 5.1, respectively. Nevertheless, the possible locations of these seismic events are not indicated in the EC8-5. The seismic hazard disaggregation analysis [54] showed that the São Vicente Canyon area is the one with the highest probability of originating the seismic action established in the EC8-1 for the Algarve region. The zone between the Guadalquivir Bank and the Guadalquivir Fault [55] is another area with high seismic activity. It corresponds to a cluster [56] where there seems to be seismic faults whose total dimension can originate an offshore earthquake of magnitude M = 7.7. Figure 3. Values of a g that are established in national codes for the primary school buildings placed in the regions of the Algarve and Huelva (range between a maximum 3.90 m/s 2 , in the Algarve region, and a minimum 0.61 m/s2in the Huelva region). At the border, the discontinuity is from 2 to 1. It is not usual for seismic codes to establish the magnitude of the earthquakes for a given seismic action because they express seismic actions throughout a uniform probability response spectrum. Therefore, they do not correspond to an isolated event and location, but to a set of seismic events related to a certain probability of exceedance. Nevertheless, hazard disaggregation analyses [ 54 ] can enable the establishment of scenarios for the occurrence of earthquakes with return periods consistent with those established in a seismic code. To do so, two types of events were selected according to the magnitudes indicated in the Portuguese National Annex of the EC8-5 [ 53 ] for liquefaction studies in the Algarve region: an offshore far-field earthquake with magnitude M = 7.7, and a near-field earthquake with magnitude M= 5.2. Both correspond to a return period of 821 years. For a return period of 475 years, the magnitudes for these two scenarios are M= 7.4 and M= 5.1, respectively. Nevertheless, the possible locations of these seismic events are not indicated in the EC8-5. The seismic hazard disaggregation analysis [ 54 ] showed that the São Vicente Canyon area is the one with the highest probability of originating the seismic action established in the EC8-1 for the Algarve region. The zone between the Guadalquivir Bank and the Guadalquivir Fault [ 55 ] is another area with high seismic activity. It corresponds to a cluster [ 56 ] where there seems to be seismic faults whose total dimension can originate an offshore earthquake of magnitude M = 7.7. According to the Spanish IGN [ 57 ] (Instituto Geográfico Nacional) earthquake catalogue, an earthquake of a magnitude greater than 4.5 (happening in this offshore area after 1961) occurred on 3 January, 2005, with an epicentre located at latitude 36.6161 ◦ and longitude − 7.5947 ◦ . This corresponds to an earthquake of magnitude M= 4.9. This is an area where earthquakes usually have focal mechanisms of the reverse type [ 58 ]. For the far-field
Sustainability 2022,14, 15976 8 of 24 scenario, the coordinates of the abovementioned earthquake were adopted (Figure 4). The rupture plane dimensions were obtained according to an empirical expression [ 59 ]. The adopted azimuth of the fault was equal to 244.5 ◦ and the dip angle was 64 ◦ . The primary school that is closest to the epicentre is in Portugal (Escola Básica de Ilha da Culatra) at an epicentre distance of 47.1 km. Near the border, the school that is closest to the rupture is in Spain (Colegio Virgen del Carmen) at 43.3 km from the fault plane. Sustainability 2022, 14, x FOR PEER REVIEW 9 of 26 According to the Spanish IGN [57] (Instituto Geográfico Nacional) earthquake catalogue, an earthquake of a magnitude greater than 4.5 (happening in this offshore area after 1961) occurred on 3 January, 2005, with an epicentre located at latitude 36.6161° and longitude −7.5947°. This corresponds to an earthquake of magnitude M = 4.9. This is an area where earthquakes usually have focal mechanisms of the reverse type [58]. For the farfield scenario, the coordinates of the abovementioned earthquake were adopted (Figure 4). The rupture plane dimensions were obtained according to an empirical expression [59]. The adopted azimuth of the fault was equal to 244.5° and the dip angle was 64°. The primary school that is closest to the epicentre is in Portugal (Escola Básica de Ilha da Culatra) at an epicentre distance of 47.1 km. Near the border, the school that is closest to the rupture is in Spain (Colegio Virgen del Carmen) at 43.3 km from the fault plane. Figure 4. Earthquake scenario with magnitude M = 7.7 located in a possible offshore source [55]. This is identified near the border between the Algarve (left side of yellow border line) and Huelva (right side of yellow border line) regions. The largest onshore earthquake recorded after 1961 that exists in the IGN catalogue occurred on 20 December 1989. This occurred at a latitude of 37.225° and a longitude of −7.3917°, with a depth of 23 km and a magnitude of M = 5.0. In this area, earthquakes normally present strike–slip focal mechanisms [58]. The closest primary school to the epicentre is in Spain (Colegio Galdames) at about 1.2 km. Thus, this location seems to be quite good for establishing the near-source earthquake scenario for the present study, with a magnitude of M = 5.2. A strike–slip rupture was adopted, with a focal depth of 13 km and a vertical plane aligned with the Guadiana River (Figure 5). Figure 4. Earthquake scenario with magnitude M= 7.7 located in a possible offshore source [ 55 ]. This is identified near the border between the Algarve (left side of yellow border line) and Huelva (right side of yellow border line) regions. The largest onshore earthquake recorded after 1961 that exists in the IGN catalogue occurred on 20 December 1989. This occurred at a latitude of 37.225 ◦ and a longitude of − 7.3917 ◦ , with a depth of 23 km and a magnitude of M = 5.0. In this area, earthquakes normally present strike–slip focal mechanisms [ 58 ]. The closest primary school to the epicentre is in Spain (Colegio Galdames) at about 1.2 km. Thus, this location seems to be quite good for establishing the near-source earthquake scenario for the present study, with a magnitude of M = 5.2. A strike–slip rupture was adopted, with a focal depth of 13 km and a vertical plane aligned with the Guadiana River (Figure 5). Sustainability 2022, 14, x FOR PEER REVIEW 10 of 26 Figure 5. Earthquake scenario with magnitude M = 5.2 near the borderline (in yellow) between the Algarve (left side) and Huelva (right side) regions. It has the same epicentre as the 20 of December of 1989 earthquake (M = 5.0) according to the IGN catalogue. 2.3. Vulnerability Evaluation As mentioned in the introduction, there are several possible approaches for assessing the seismic vulnerability of existing schools. The objectives of the PERSISTAH project were to analyse the seismic safety of these buildings according to the legal framework of both regions under study and to rank the seismic risk of school buildings for seismic retrofitting purposes. Therefore, it was opted to apply the seismic structural analysis methodologies presented in Part 3 of Eurocode 8 (EC8-3) [60], considering the limit states (LS) established for the Algarve in the NP EN 1998-3:2017 [61]. These are usually adopted for the seismic assessment of a single building. However, in this case, they were applied to a large number of school buildings throughout the development of the computer routines that were developed to automatically carry out this task [43] as if each building were analysed individually. From all the different seismic analysis approaches proposed in the EC8-3, nonlinear static seismic analyses were selected. First, a different software was used to perform nonlinear static analyses to compute the capacity curves of each school building following the requirements of the EC8-3 (12 for each building, in most cases). These capacity curves were then imported into the PERSISTAH software to rank the seismic safety of the school buildings according to different possible seismic actions. 2.3.1. Capacity Curves Obtained for the Algarve Region (Portugal) Regarding the Algarve region, particular attention was given to the unreinforced masonry (URM) school buildings that were built before the first Portuguese seismic codes. The capacity curves of these buildings were determined according to the principles and rules defined in the EC8-3 [47], using the TreMuri software [62]. In the case of RC schools built in the early 1990s, it was not possible to check the safety levels currently required in the NP EN 1998-3:2017 for all the LS. As concluded in [63], the level of seismic vulnerability of this type of structure seems to be much lower and much less worrying. However, RC buildings designed before the 1983 Portuguese code, namely the so-called “P3” schools [48], present low shear reinforcement ratios in their columns. For these buildings, the nonlinear structural analyses were carried out with Seismostruct [64]. The results show premature shear failures. In this case, as already carried out in earlier studies [65] and considering the civil protection purposes, a residual shear strength of the columns was adopted to reproduce the expected degree of damage for higher displacement values. Figure 5. Earthquake scenario with magnitude M= 5.2 near the borderline (in yellow) between the Algarve (left side) and Huelva (right side) regions. It has the same epicentre as the 20 of December of 1989 earthquake (M= 5.0) according to the IGN catalogue.
Sustainability 2022,14, 15976 9 of 24 2.3. Vulnerability Evaluation As mentioned in the introduction, there are several possible approaches for assessing the seismic vulnerability of existing schools. The objectives of the PERSISTAH project were to analyse the seismic safety of these buildings according to the legal framework of both regions under study and to rank the seismic risk of school buildings for seismic retrofitting purposes. Therefore, it was opted to apply the seismic structural analysis methodologies presented in Part 3 of Eurocode 8 (EC8-3) [ 60 ], considering the limit states (LS) established for the Algarve in the NP EN 1998-3:2017 [ 61 ]. These are usually adopted for the seismic assessment of a single building. However, in this case, they were applied to a large number of school buildings throughout the development of the computer routines that were developed to automatically carry out this task [ 43 ] as if each building were analysed individually. From all the different seismic analysis approaches proposed in the EC8-3, nonlinear static seismic analyses were selected. First, a different software was used to perform nonlinear static analyses to compute the capacity curves of each school building following the requirements of the EC8-3 (12 for each building, in most cases). These capacity curves were then imported into the PERSISTAH software to rank the seismic safety of the school buildings according to different possible seismic actions. 2.3.1. Capacity Curves Obtained for the Algarve Region (Portugal) Regarding the Algarve region, particular attention was given to the unreinforced masonry (URM) school buildings that were built before the first Portuguese seismic codes. The capacity curves of these buildings were determined according to the principles and rules defined in the EC8-3 [ 47 ], using the TreMuri software [ 62 ]. In the case of RC schools built in the early 1990s, it was not possible to check the safety levels currently required in the NP EN 1998-3:2017 for all the LS. As concluded in [ 63 ], the level of seismic vulnerability of this type of structure seems to be much lower and much less worrying. However, RC buildings designed before the 1983 Portuguese code, namely the so-called “P3” schools [ 48 ], present low shear reinforcement ratios in their columns. For these buildings, the nonlinear structural analyses were carried out with Seismostruct [ 64 ]. The results show premature shear failures. In this case, as already carried out in earlier studies [ 65 ] and considering the civil protection purposes, a residual shear strength of the columns was adopted to reproduce the expected degree of damage for higher displacement values. 2.3.2. Capacity Curves Obtained for the Huelva Region (Spain) In the case of Huelva, the seismic assessment of the buildings was carried out according to the performance-based method. In a similar way to the Algarve, the seismic safety was verified according to the EC8 requirements. The capacity of the buildings was obtained according to different numerical modelling procedures. The seismic hazard was acquired according to the seismic code in Spain (NCSE-02) [ 50 ] and the Spanish update of the ground acceleration values [66]. For URM buildings, the TreMuri software was also used. In [ 67 ], the optimal seismic retrofitting of a URM case study was analysed. It was representative of the URM buildings identified in the area. It was found that this case presents a probability of “collapse” and of “severe damage” of 45% and 40%, respectively. Furthermore, it presented a very low ductile behaviour. It was concluded that the most effective solutions (according to a cost–benefit analysis) were the addition of encirclements with L-shape profiles and steel grids spaced at certain distances. The seismic assessment was mainly focused on RC buildings. This was due to the amount of them and to the available data at different local archives (such as blueprints and reports). Different software was used to numerically model the buildings, focusing on the use of OpenSees [ 68 ]. The ageing effects of the RC frames, the infills, the irregularities in plans and in height or the presence of smooth rebar were considered in the analyses, as presented in [ 69 ]. The soil–structure interaction effects have also been tested [ 70 ]. It was found that they can worsen the capacity of the medium-rise buildings up to 10%.
Sustainability 2022,14, 15976 16 of 24 Sustainability 2022, 14, x FOR PEER REVIEW 17 of 26 𝑙𝑛 𝑆() = 𝑓 () 𝑓 () 𝑓 () 𝑓 () 𝑓 () 𝑓 () 𝑓 (). (3) To better understand the accuracy that we can expect for the selected damage scenarios, the results of the GMPEs [98–103] that were implemented in the developed software were first compared with response spectra obtained from earthquake records. The first set was recorded in the CHBH14 (V s30 = 201 m/s, ground type C of the EC8-1, focus distance of 72 km) and in the IBRH18 (V s30 = 559 m/s, ground type B of the EC8-1, focus distance of 78 km) Japanese stations of the KiK-net [104]. This network provides records obtained at the bedrock level and at the surface and presents much information about the geological characteristics of the sites. The 11 March 2011 earthquake (JMA magnitude of 7.7, Mw = 7.8), which was an aftershock of the great Tohoku Earthquake (Mw = 9.0) [105], was considered. This offshore earthquake and those station sites were chosen because the earthquake mechanism and the relative position of those sites regarding the fault rupture have some similarities to the context of the earthquake scenario presented in Figure 4. For this sensitivity analysis, it was assumed that the focus was placed on the middle of the fault plane, and the NIED earthquake mechanism was adopted (strike equal to 209° and dip equal to 31°, which are close to the mainshock values [106]). The comparison of the results is presented in Figure 10, only using the implemented GMPEs [100–103] that are valid for earthquakes up to M = 7.8. When analysing the response spectra shown in Figure 10, it is possible to conclude that the GMPE presenting the highest spectral values is the one that was established for the Chilean subduction area [102]. For the CHBH14 site, the values are too high, but for the IBRH18 site, this is the only GMPE that presents results close to the recorded ones. All the other GMPEs exhibit much lower values when compared with the records. Those differences might be due to the possibility of the fault plane not being centred in the focus, which might increase, or decrease, the closest distance from the rupture. Other factors such as the relative distance from fault asperities and the geological site effects are also factors that can influence the response spectra shape and, consequently, the building damage, as shown in previous studies [107]. Figure 10. Comparison of the response spectra obtained with several GMPEs for the offshore scenario, the Japan earthquake records (Mw = 7.8), and the seismic actions of the Portuguese (type 1 of the NP EN 1998-1:2010 [46] for Vila Real de Santo António) and for the Spanish (NCSE-02 [50] for Ayamonte) seismic codes, which are currently mandatory for each region: (a) for the CHBH14 site (ground type C) and (b) for the IBRH18 site (ground type B) [100–103]. The offshore area that is close to the Algarve and Huelva regions where the M = 7.7 earthquake rupture was placed is not a subduction area, so it is questionable to use GMPEs that are obtained in subduction areas. Nevertheless, the region studied is not very far from the subduction zone below the Gibraltar Arc [108], so these GMPEs were tested in this study as well. (a) (b) Figure 10. Comparison of the response spectra obtained with several GMPEs for the offshore scenario, the Japan earthquake records (Mw = 7.8), and the seismic actions of the Portuguese (type 1 of the NP EN 1998-1:2010 [ 46 ] for Vila Real de Santo António) and for the Spanish (NCSE-02 [ 50 ] for Ayamonte) seismic codes, which are currently mandatory for each region: ( a ) for the CHBH14 site (ground type C) and (b) for the IBRH18 site (ground type B) [100–103]. This strategy was also adopted to assess the ability of the implemented GMPEs to reproduce near-field earthquake scenarios (in this case, the GMPEs that were developed for subduction areas were not used). A superficial onshore earthquake that occurred in Japan on 21 September, 2011 (JMA magnitude of 5.2, Mw = 5.1) was selected. This earthquake was recorded in two very close sites of the KiK-net network: the IBRH13 site (V s30 = 335 m/s, ground type C of the EC8-1, focus distance of 10.8 km) and the IBRH14 site (V s30 = 829 m/s, ground type A of the EC8-1, focus distance of 10.3 km). These records presented PGA values which are close to the ones obtained in Spain after the 2011 Lorca earthquake [ 109 ]. For this scenario, two of the adopted GMPEs use the closest distance to the rupture [ 100 , 101 ]. The other two use the Joyner–Boore distance [ 98 , 99 ]. The comparative results are presented in Figure 11. Sustainability 2022, 14, x FOR PEER REVIEW 18 of 26 This strategy was also adopted to assess the ability of the implemented GMPEs to reproduce near-field earthquake scenarios (in this case, the GMPEs that were developed for subduction areas were not used). A superficial onshore earthquake that occurred in Japan on 21 September, 2011 (JMA magnitude of 5.2, Mw = 5.1) was selected. This earthquake was recorded in two very close sites of the KiK-net network: the IBRH13 site (V s30 = 335 m/s, ground type C of the EC8-1, focus distance of 10.8 km) and the IBRH14 site (V s30 = 829 m/s, ground type A of the EC8-1, focus distance of 10.3 km). These records presented PGA values which are close to the ones obtained in Spain after the 2011 Lorca earthquake [109]. For this scenario, two of the adopted GMPEs use the closest distance to the rupture [100,101]. The other two use the Joyner–Boore distance [98,99]. The comparative results are presented in Figure 11. Figure 11. Comparison of the response spectra obtained with several GMPEs for the near-source scenario, the Japan earthquake records (Mw = 5.1), and the seismic actions of the Portuguese (type 2 of the NP EN 1998-1:2010 [46] for Vila Real de Santo António) and Spanish (NCSE-02 [50] for Ayamonte) seismic codes, which are currently mandatory for each region: (a) for IBRH13 site (ground type C) and (b) for the IBRH14 site (ground type A) [99–101]. Again, the high dispersion of the results is noticeable when observing the response spectra obtained with different GMPEs. With this issue in mind, it is important to figure out what are the consequences for the damage evaluation that can result from this variation observed in the estimated response spectra. In this context, two GMPEs were adopted for each earthquake scenario, which were the ones that induced the lower and the higher collapse ratios. Figures 12–15 show the results obtained for the scenarios that were tested in this work for the LS of NC (a red marker with a number higher than 1.00 means that the collapse of the school building is most likely to occur). The damage maps obtained for the different earthquake scenarios are probably value information. It emphasises the importance of transmitting to society that a huge amount of uncertainty still exists in relation to the occurrence of earthquakes, with regard to their recurrence, the propagation of seismic waves, the phenomena of local amplification or their effects on buildings. Interestingly, the GMPE that presents the highest values for the near-field onshore earthquake is also the one that has the lowest values for the far-field offshore earthquake scenario. The damage that schools would effectively present due to the earthquake scenarios that were studied would probably fall between the upper and lower limits of the results shown in Figures 12–15, where the presented collapse ratio was computed for the LS of NC by using Equation (2). The enormous uncertainty inherent in seismic risk assessment procedures is observed in the results obtained in this study. For this reason, it is important to transmit this uncertainty to society and to promote a culture of risk. This is probably the only way we can build a more resilient and sustainable society. The importance of this issue was also very evident in Japan after the 2011 Tohoku earthquake, as has been highlighted by some authors [110,111]. (a) (b) Figure 11. Comparison of the response spectra obtained with several GMPEs for the near-source scenario, the Japan earthquake records (Mw = 5.1), and the seismic actions of the Portuguese (type 2 of the NP EN 1998-1:2010 [ 46 ] for Vila Real de Santo António) and Spanish (NCSE-02 [ 50 ] for Ayamonte) seismic codes, which are currently mandatory for each region: ( a ) for IBRH13 site (ground type C) and (b) for the IBRH14 site (ground type A) [98–101]. Again, the high dispersion of the results is noticeable when observing the response spectra obtained with different GMPEs. With this issue in mind, it is important to figure out what are the consequences for the damage evaluation that can result from this variation observed in the estimated response spectra. In this context, two GMPEs were adopted
Sustainability 2022,14, 15976 17 of 24 for each earthquake scenario, which were the ones that induced the lower and the higher collapse ratios. Figures 12–15 show the results obtained for the scenarios that were tested in this work for the LS of NC (a red marker with a number higher than 1.00 means that the collapse of the school building is most likely to occur). Sustainability 2022, 14, x FOR PEER REVIEW 19 of 26 Figure 12. Collapse ratios for the studied offshore earthquake scenario (M = 7.7) when using the Idini et al. GMPE [102]. Figure 13. Collapse ratios for the studied offshore earthquake scenario (M = 7.7) when using the Bindi et al. GMPE [100]. In the context of the Algarve and Huelva regions, it is important to remember the destruction caused by the 1755 earthquake [89]. The Algarve was the most damaged region [112]. This is a recurrent phenomenon in this area, as there are sedimentary, palaeontological and geomorphological records of tsunamis of similar effects to the 1755 earthquake [113], as well various historical accounts of different destructive earthquakes [90]. The only way to reduce this uncertainty is to obtain records of large-magnitude earthquakes. These must be recorded at different distances from the source and with different geological characteristics, which unfortunately do not exist in sufficient numbers in this region. Even using stochastic earthquake simulation [44,107], where it is possible to control many of these factors, uncertainty is also high, and the processing speed is much lower Figure 12. Collapse ratios for the studied offshore earthquake scenario (M= 7.7) when using the Idini et al. GMPE [102]. Sustainability 2022, 14, x FOR PEER REVIEW 19 of 26 Figure 12. Collapse ratios for the studied offshore earthquake scenario (M = 7.7) when using the Idini et al. GMPE [102]. Figure 13. Collapse ratios for the studied offshore earthquake scenario (M = 7.7) when using the Bindi et al. GMPE [100]. In the context of the Algarve and Huelva regions, it is important to remember the destruction caused by the 1755 earthquake [89]. The Algarve was the most damaged region [112]. This is a recurrent phenomenon in this area, as there are sedimentary, palaeontological and geomorphological records of tsunamis of similar effects to the 1755 earthquake [113], as well various historical accounts of different destructive earthquakes [90]. The only way to reduce this uncertainty is to obtain records of large-magnitude earthquakes. These must be recorded at different distances from the source and with different geological characteristics, which unfortunately do not exist in sufficient numbers in this region. Even using stochastic earthquake simulation [44,107], where it is possible to control many of these factors, uncertainty is also high, and the processing speed is much lower Figure 13. Collapse ratios for the studied offshore earthquake scenario (M= 7.7) when using the Bindi et al. GMPE [100].
Sustainability 2022,14, 15976 18 of 24 Sustainability 2022, 14, x FOR PEER REVIEW 20 of 26 than that resulting from the use of GMPEs, which can make their use unrealistic in software intended for civil protection. Figure 14. Collapse ratios for the studied near-field earthquake scenario (M = 5.2) when using the Bindi et al. GMPE [100]. Figure 15. Collapse ratios for the studied near-field earthquake scenario (M = 5.2) when using the Campbell and Bozorgnia GMPE [101]. The influence of uncertainty surrounding damage seems to be greater for large-magnitude far-field offshore earthquake scenarios, as it influences the results of a greater number of buildings. In relation to scenarios with near-field earthquakes (with lower magnitudes), the differences are less significant and influence the damage results of a smaller number of buildings. For new buildings, the adoption of capacity design rules intends to solve the problem of aleatory and epistemic uncertainty inherent to the effects of earthquakes on constructions, such as the case of the rules presented in the EC8-1, for example. This type of structural design strategy has long been adopted as a way of desensitising the structural behaviour of the earthquake characteristics [114]. However, in the context of the assessment of existing buildings, the influence of the variability of the seismic action is still an important problem that needs to be minimised. Recent seismic hazard studies have adopted backbone approaches to capture the epistemic uncertainty, namely, by combining a set of GMPEs within logic trees [52,115]. However, there are also issues related to this approach, because sensitivity studies have shown that the selection of GMPEs has a greater impact on the results than the weights assigned to each branch of the logic trees [116]. If all branches are given an equal weight, this is equivalent to the mere arithmetic mean, which may not be the best option, given the difference in results observed in the response spectra presented in Figures 10 and 11. It is also not certain that these weights are equally valid Figure 14. Collapse ratios for the studied near-field earthquake scenario (M= 5.2) when using the Bindi et al. GMPE [100]. Sustainability 2022, 14, x FOR PEER REVIEW 20 of 26 than that resulting from the use of GMPEs, which can make their use unrealistic in software intended for civil protection. Figure 14. Collapse ratios for the studied near-field earthquake scenario (M = 5.2) when using the Bindi et al. GMPE [100]. Figure 15. Collapse ratios for the studied near-field earthquake scenario (M = 5.2) when using the Campbell and Bozorgnia GMPE [101]. The influence of uncertainty surrounding damage seems to be greater for large-magnitude far-field offshore earthquake scenarios, as it influences the results of a greater number of buildings. In relation to scenarios with near-field earthquakes (with lower magnitudes), the differences are less significant and influence the damage results of a smaller number of buildings. For new buildings, the adoption of capacity design rules intends to solve the problem of aleatory and epistemic uncertainty inherent to the effects of earthquakes on constructions, such as the case of the rules presented in the EC8-1, for example. This type of structural design strategy has long been adopted as a way of desensitising the structural behaviour of the earthquake characteristics [114]. However, in the context of the assessment of existing buildings, the influence of the variability of the seismic action is still an important problem that needs to be minimised. Recent seismic hazard studies have adopted backbone approaches to capture the epistemic uncertainty, namely, by combining a set of GMPEs within logic trees [52,115]. However, there are also issues related to this approach, because sensitivity studies have shown that the selection of GMPEs has a greater impact on the results than the weights assigned to each branch of the logic trees [116]. If all branches are given an equal weight, this is equivalent to the mere arithmetic mean, which may not be the best option, given the difference in results observed in the response spectra presented in Figures 10 and 11. It is also not certain that these weights are equally valid Figure 15. Collapse ratios for the studied near-field earthquake scenario (M= 5.2) when using the Campbell and Bozorgnia GMPE [101]. The damage maps obtained for the different earthquake scenarios are probably value information. It emphasises the importance of transmitting to society that a huge amount of uncertainty still exists in relation to the occurrence of earthquakes, with regard to their recurrence, the propagation of seismic waves, the phenomena of local amplification or their effects on buildings. Interestingly, the GMPE that presents the highest values for the near-field onshore earthquake is also the one that has the lowest values for the far-field offshore earthquake scenario. The damage that schools would effectively present due to the earthquake scenarios that were studied would probably fall between the upper and lower limits of the results shown in Figures 12–15, where the presented collapse ratio was computed for the LS of NC by using Equation (2). The enormous uncertainty inherent in seismic risk assessment procedures is observed in the results obtained in this study. For this reason, it is important to transmit this uncertainty to society and to promote a culture of risk. This is probably the only way we can build a more resilient and sustainable society. The importance of this issue was also very evident in Japan after the 2011 Tohoku earthquake, as has been highlighted by some authors [110,111]. In the context of the Algarve and Huelva regions, it is important to remember the destruction caused by the 1755 earthquake [ 89 ]. The Algarve was the most damaged region [ 112 ]. This is a recurrent phenomenon in this area, as there are sedimentary, palaeontological and geomorphological records of tsunamis of similar effects to the 1755 earthquake [ 113 ], as well various historical accounts of different destructive earthquakes [ 90 ]. The only way to reduce this uncertainty is to obtain records of large-magnitude earthquakes.
Sustainability 2022,14, 15976 19 of 24 These must be recorded at different distances from the source and with different geological characteristics, which unfortunately do not exist in sufficient numbers in this region. Even using stochastic earthquake simulation [ 44 , 107 ], where it is possible to control many of these factors, uncertainty is also high, and the processing speed is much lower than that resulting from the use of GMPEs, which can make their use unrealistic in software intended for civil protection. The influence of uncertainty surrounding damage seems to be greater for largemagnitude far-field offshore earthquake scenarios, as it influences the results of a greater number of buildings. In relation to scenarios with near-field earthquakes (with lower magnitudes), the differences are less significant and influence the damage results of a smaller number of buildings. For new buildings, the adoption of capacity design rules intends to solve the problem of aleatory and epistemic uncertainty inherent to the effects of earthquakes on constructions, such as the case of the rules presented in the EC8-1, for example. This type of structural design strategy has long been adopted as a way of desensitising the structural behaviour of the earthquake characteristics [ 114 ]. However, in the context of the assessment of existing buildings, the influence of the variability of the seismic action is still an important problem that needs to be minimised. Recent seismic hazard studies have adopted backbone approaches to capture the epistemic uncertainty, namely, by combining a set of GMPEs within logic trees [ 52 , 115 ]. However, there are also issues related to this approach, because sensitivity studies have shown that the selection of GMPEs has a greater impact on the results than the weights assigned to each branch of the logic trees [ 116 ]. If all branches are given an equal weight, this is equivalent to the mere arithmetic mean, which may not be the best option, given the difference in results observed in the response spectra presented in Figures 10 and 11. It is also not certain that these weights are equally valid for all magnitudes and distances, namely, in the context of the region under study. Moreover, it is likely that the set of GMPEs, as well as the weights of the logic trees, should be properly adjusted for each particular region, instead of being uniform for large areas. In all the tested scenarios, it was the masonry school buildings that had the highest school score in terms of possible collapse. Therefore, buildings with this structural system are the ones where seismic retrofitting measures are most needed, which was the support for selecting the two pilot school buildings that were retrofitted. In relation to the differences observed between the seismic actions that are stipulated on each side of the border between Portugal and Spain, it will be necessary to carry out more studies. These should be of a probabilistic nature, to better define the seismic action for the border zone between these two countries. In this context, this type of study should be continued for this region, transcending country borders, which is of utmost importance to increase the resilience of the communities, as the effects of the earthquakes do not recognise international borders, which should be reflected in the future generation of EC8. 6. Conclusions As a result of the work carried out in the PERSISTAH project, it is possible to present the following main conclusions: • It is feasible to carry out the evaluation of the seismic safety of a large number of buildings using the analysis methods established in the EC8-3, when using dedicated software, such as the one that was developed for the project; • Using this approach, it has been possible to verify the great influence of the selection of the GMPEs on the estimation of the collapse ratio of the school buildings. Therefore, the real degree of damage expected for the earthquake scenarios tested is not certain. Nevertheless, it would probably be within the upper and lower limits obtained; • The seismic retrofitting of two pilot schools made it possible to observe the main execution errors of the most usual solutions adopted for masonry buildings. Moreover,
Sustainability 2022,14, 15976 20 of 24 it stressed the need to provide training courses to all types of workers involved in this type of work and not to just focus attention on structural designers; • The resources and educational material developed, as well as the training actions carried out with teachers, were a great success. This shows that this procedure is one of the best ways to create a more resilient society to the effects of earthquakes; • The PERSISTAH project can help government agencies to prepare a vulnerability reduction plan, promoting structural and non-structural mitigation, to enhance the safety of existing schools and reduce their vulnerability; • The fact that PERSISTAH is a cross-border project allowed a better understanding of the differences between the seismic codes of Portugal and Spain, in particular for school buildings. Therefore, it is desirable to carry out more joint studies concerning the seismic hazard of these regions. Author Contributions: Conceptualisation and methodology, J.M.C.E., A.M.-E., L.F.S., M.A.F. and C.S.O.; software, J.M.C.E.; validation, J.M.C.E.; formal analysis, J.M.C.E., B.T., C.E., V.B., M.-V.R.-G.-C. , E.R.-S., J.d.-M.-R. and M.-L.S.-V.; investigation, J.M.C.E., A.M.-E., M.A.F., M.-V.R.-G.-C. , E.R.-S., J.d.-M.-R. , M.-L.S.-V. and B.Z.B.; resources, J.M.C.E., A.C., L.F.S., A.B., M.A.F., M.-V.R.-G.-C., E.R.-S. and J.d.-M.-R. ; writing—original draft preparation, J.M.C.E., A.M.-E., M.-V.R.-G.-C., E.R.-S. and B.Z.B.; writing—review and editing, J.M.C.E., A.M.-E., M.-V.R.-G.-C., M.A.F. and C.S.O.; supervision, J.M.C.E., A.M.-E. and C.S.O.; project administration, J.M.C.E., A.M.-E. and L.F.S.; funding acquisition, J.M.C.E., A.M.-E., L.F.S., M.A.F. and C.S.O. All authors have read and agreed to the published version of the manuscript. Funding: This research was funded by the INTERREG-POCTEP España–Portugal programme and the European Regional Development Fund through the 0313_PERSISTAH_5_P project. Institutional Review Board Statement: Not applicable. Informed Consent Statement: Not applicable. Data Availability Statement: All detailed information about the PERSISTAH project can be found at the following link: https://sites.google.com/view/persistah/en, accessed on 30 October 2022. Acknowledgments: The authors wish to thank the Municipalities of the Algarve that have contributed to this project, in particular the Municipality of Olhão, the General Directorate for Schools (Algarve Region Service Directorate of Faro), and the Portuguese General Secretariat of the Ministry of Education and Science of Lisbon, for providing information and architectural drawings of some school buildings. The first author would also like to acknowledge the financial support of the Portuguese Foundation of Science and Technology (FCT) of CIMA through UIDP/00350/2020. Conflicts of Interest: The authors declare no conflict of interest. The funders had no role in the design of the study; in the collection, analyses, or interpretation of data; in the writing of the manuscript, or in the decision to publish the results. References 1. UN. The 17 Sustainable Development Goals (SDGs). United Nations. Available online: https://sdgs.un.org/goals (accessed on 20 December 2021). 2. Mendonça, D.; Amorim, I.; Kagohara, M. An historical perspective on community resilience: The case of the 1755 Lisbon Earthquake. Int. J. Disaster Risk Reduct. 2019,34, 363–374. [CrossRef] 3. Winstanley, A.; Hepi, M.; Wood, D. Resilience? Contested meanings and experiences in post-disaster Christchurch, New Zealand. K¯ otuitui N. Z. J. Soc. Sci. Online 2015,10, 126–134. [CrossRef] 4. Xi, Y.; Yu, H.; Yao, Y.; Peng, K.; Wang, Y.; Chen, R. Post-traumatic stress disorder and the role of resilience, social support, anxiety and depression after the Jiuzhaigou earthquake: A structural equation model. Asian J. Psychiatry 2020 ,49, 101958. [CrossRef] [PubMed] 5. Bal, ˙ I.E.; Smyrou, E. Simulation of the earthquake-induced collapse of a school building in Turkey in 2011 Van Earthquake. Bull. Earthq. Eng. 2016,14, 3509–3528. [CrossRef] 6. Chen, H.; Xie, Q.; Lan, R.; Li, Z.; Xu, C.; Yu, S. Seismic damage to schools subjected to Nepal earthquakes, 2015. Nat. Hazards 2017 , 88, 247–284. [CrossRef] 7. Di Ludovico, M.; Digrisolo, A.; Moroni, C.; Graziotti, F.; Manfredi, V.; Prota, A.; Dolce, M.; Manfredi, G. Remarks on damage and response of school buildings after the Central Italy earthquake sequence. Bull. Earthq. Eng. 2019,17, 5679–5700. [CrossRef]
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