Journal of Marine Science and Engineering
Article The historical reconstruction of the 1755 earthquake and tsunami in downtown Lisbon, Portugal
Angela Santos 1,* , Mariana Correia 1, Carlos Loureiro 2, Paulo Fernandes 2,3 and Nuno Marques da Costa 1
1 Centre for Geographical Studies, Institute of Geography and Spatial Planning, Universidade de Lisboa, Rua Branca Edmée Marques, 1600-276 Lisboa, Portugal 2 Museu de Lisboa, EGEAC, Campo Grande 245, 1700-091 Lisboa, Portugal 3 Centro de Estudos em Arqueologia, Artes e Ciências do Património, Universidade de Coimbra, 3000-395 Coimbra, Portugal * Correspondence: [email protected]; Tel.: +351-210-443-000
Received: 1 April 2019; Accepted: 27 June 2019; Published: 4 July 2019
Abstract: The historical accounts of the 1755 earthquake and tsunami in Lisbon are quite vast providing a general overview of the disaster in the city. However, the details remain unknown. Therefore, the objective of this research is to understand and reconstruct the impact of the 1755 event (earthquake, tsunami, and fire) in downtown Lisbon. Thus, the historical data has been compiled and analyzed, to complement tsunami modeling and a field survey. Although census data are not very accurate, before the disaster there were about 5500 buildings and about 26,200 residents in downtown Lisbon; after the disaster, no records of the buildings were found and there were about 6000–8800 residents. There were about 1000 deaths in the study area. The results also show that the earthquake did not cause significant damage to most of the study area, which contradicts general knowledge. After the earthquake, a fire started that quickly spread throughout the city causing most damage to property. The tsunami hit mostly the west and central parts of the study area. The numerical model results show the tsunami hit the studied area about 60 min after the earthquake, inundating the seafront streets and squares up to 200 m inland. In addition, two major waves were calculated, which are in agreement with the historical accounts.
Keywords: 1755 tsunami; downtown Lisbon; historical data; numerical model
1. Introduction The 1 November 1755 earthquake triggered a tsunami that hit the entire Portuguese coastline. According to the historical records previously analyzed [1] in Lisbon municipality, the combined effects of the earthquake, tsunami, and fire caused significant damage to the city’s buildings. However, the administrative limits of Lisbon municipality have been changing over time, which has been one of the limitations in the interpretation of this historical event in the city. Still, it is known that the disaster killed more than 10,000 people [1] in the municipality, which in 2010 had 54 civil parishes. Moreover, the 18th century census data show that before the earthquake Lisbon city had 109,754–157,192 residents (older than 7 years). As a result, the fatalities due to the 1755 disaster correspond to 6.4%–9.1% of the Lisbon city resident population [1]. The recovery process started immediately after the disaster. Nevertheless, only on 12 May 1758 was the Reconstruction Law of Lisbon approved [2]. It established a five-year period to conclude the reconstruction project. On the other hand, although the historical accounts are quite vast providing a general overview of the disaster in the Lisbon municipality, details remain unknown, especially in the downtown area. In addition, the 1755 event has been largely
J. Mar. Sci. Eng. 2019, 7, 208; doi:10.3390/jmse7070208 www.mdpi.com/journal/jmse J. Mar. Sci. Eng. 2019, 7, 208 2 of 21 J. Mar. Sci. Eng. 2019, 7, x FOR PEER REVIEW 2 of 20 discussedcommunity, among however, the public, the authors stakeholders did not and find scientific any published community, detailed however, analysis the of authors the disaster did not in find the anyLisbon published municipality. detailed analysis of the disaster in the Lisbon municipality. Therefore,Therefore, thethe aimaim of of this this research research is is to to understand understand and and reconstruct reconstruct the the impact impact of of the the 1755 1755 event event in downtownin downtown Lisbon, Lisbon, which which includes includes earthquake, earthquake, tsunami, tsunami, and fire and damage fire damage and the and number the number of victims, of asvictims, well as as tsunami well as parameters tsunami parameters (travel times, (travel number times, of wavesnumber and of inundationwaves and area). inundation The study area). area The is presentedstudy area in is Figurepresented1, corresponding in Figure 1, corresponding to a stretch of to coastline a stretch of of about coastline 1.8 km, of about including 1.8 km, only including 5 civil parishesonly 5 civil (out parishes of 54 administrative (out of 54 administrative limits of Lisbon limits city inof 2010).Lisbon This city area in 2010). was selected This area due was to available selected datadue to and available relevance data to and the relevance comprehensive to the comprehe analysis ofnsive the tsunami.analysis of Furthermore, the tsunami. Furthermore, this research isthis a collaborationresearch is a collaboration between academia between and academia the Museum and the of Lisbon,Museum which of Lisbon, is quite which innovative is quite in innovative Portugal. Within Portugal. this research, With thethis authors research, hope the to contributeauthors hope to a clearerto contribute and objective to a understandingclearer and objective of this historicalunderstanding event inof downtownthis historical Lisbon event and in to downtown advance the Lisbon general and knowledge to advance about the thisgeneral historical knowledge event thatabout has this not historical been properly event addressedthat has not or been discussed. properly addressed or discussed.
FigureFigure 1.1. Geographical setting of the study area: ( a) Location of Portugal and the Lisbon municipality; ((bb)) locationlocation ofof thethe studystudy area;area; ((cc)) detailsdetails ofof thethe studystudy area,area, which which in in 2010 2010 had had 5 5 civil civil parishes. parishes.
2.2. Review of the Seismo-Tectonics OOffshoreffshore ofof thethe PortuguesePortuguese MainlandMainland TheThe seismo-tectonicsseismo-tectonics o offshoreffshore of of the the Portuguese Portuguese mainland mainland show show that that the the current current tectonic tectonic regime regime at theat the boundary boundary of the of African the African and Eurasian and Eurasian plates isplates located is withinlocated 35–40 within◦N. This35–40°N. boundary This isboundary commonly is dividedcommonly into divided three sections into three [3], sections presented [3], in presented Figure2([ in4]): Figure (i) the 2 Azores([4]): i) Sectionthe Azores (35◦ SectionW to 24 (35°W◦W): the to feature24°W): thatthe feature dominates that thedominates Azores the section Azores is the section triple is point the triple where point the Northwhere American,the North EuroasianAmerican, andEuroasian African and plates African join. Theplates Terceira join. The Ridge Terceira is responsible Ridge is for responsible the active for volcanism the active found volcanism in the Azores found islands.in the Azores (ii) The islands. Central ii) SectionThe Central (24◦ WSection to 13 ◦(24°WW): the to main13°W): feature the main is the feature Gloria is Fault,the Gloria a rectilinear Fault, a right-lateralrectilinear right-lateral fault. The east fault. end The of thiseast faultend isof notthis well fault defined; is not well (iii) defined; the East sectioniii) the (13East◦W section to 5◦W): (13°W the to 5°W): the tectonics of the East section (see the rectangle in Figure 2) is governed by the interaction between the Euroasian and African plates [5]. This is a region of complex bathymetry with a very low
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J.tectonics Mar. Sci. Eng. of the 2019 East, 7, x sectionFOR PEER (see REVIEW the rectangle in Figure2) is governed by the interaction between 3 of the 20 Euroasian and African plates [5]. This is a region of complex bathymetry with a very low convergence 1 −1 convergencerate of 4 mm rate yr− of[6, 74], mm trending yr [6,7], NW–SE, trending consistent NW– withSE, consistent the observed with maximum the observed horizontal maximum stress horizontaldirection [ 8stress–11]. direction The transition [8–11]. between The transition the localized between and the di fflocalizeduse plate and boundary diffuse mayplate be boundary due to a maychange be indue the to nature a change and in age the of nature the lithosphere and age of [12 th].e Thelithosphere main bathymetry [12]. The main structures bathymetry of the East structures section ofare the presented East section in Figure are presented3. in Figure 3.
Figure 2. PlatePlate tectonics tectonics of the Atlantic North East, and th thee location of the east section. The rectangle on the east section will be explained in more detail [[4].4].
The East Section is dominated by the Gorringe Bank (Figure3 3).). ItIt isis orientatedorientated inin aa SW–NESW–NE direction, consistent with the tectonics of the regi region,on, where the stress field field is dominated by a trending trending approximately inin thethe NW–SE NW–SE direction direction [5 ].[5]. It hasIt has dimensions dimensions of 200 of 200 km bykm 80 by km 80 and km reaches and reaches 25 m below 25 m belowthe mean the sea mean level, sea separating level, separating Tagus and HorseshoeTagus and Abyssal Horseshoe Plaines Abyssal (Figure 3Plaines); it is asymmetrical, (Figure 3); withit is asymmetrical,the northern flank with steeper the northern than the flank southern. steeper Gorringe than Bankthe southern. consists ofGorringe 2 seamounts, Bank the consists Gettysburg of 2 seamounts,Seamount, in the the Gettysburg Southwest Seamount, and Ormonde in the Seamount, Southwest in theand Northwest, Ormonde separatedSeamount, by in athe saddle-shaped Northwest, separatedstructure [by13 –a15 saddle-shaped]. An idea of structure a thrust origin[13–15]. for An the idea Gorringe of a thrust Bank origin has beenfor the supported Gorringe byBank in situhas beencore sampling.supported Aby deep in situ sea core drilling sampling. project A deep (DSDP) sea showeddrilling project that the (DSDP) Gorringe showed Bank that has the a number Gorringe of Banksimilarities has a number to an ophiolite of similarities complex to [15 an]. ophiolite The Gettysburg complex Seamount [15]. The appears Gettysburg to be Seamount essentially appears formed to of beserpentinite, essentially whereas formed theof serpentinite, basement of thewhereas Ormonde the basement Seamount of appears the Ormond to consiste Seamount of an oceanic appears section to consistwith gabbros of an oceanic of Berriasian section age with (143 gabbros Ma). Itof hasBerriasian been proposed age (143 byMa). several It has authorsbeen proposed that the by Gorringe several authorsBank is anthat uplifted the Gorringe thrust Bank block is of an crustal uplifted and thrust upper block mantle of crustal rocks, resultingand upper from mantle the Euroasia–Africarocks, resulting fromcollision the Euroasia (for ex., [–14Africa,15]). collision In fact, it (for has ex., been [14,15]). shown In that fact the, it has Gorringe been shown Bank over that thrustedthe Gorringe the Tagus Bank overAbyssal thrusted Plain the for 4–5Tagus km Abyssal [16], although Plain for its 4 seismic–5 km [16], profile although was inconclusive. its seismic profile was inconclusive. The Horseshoe Scarp (HSS) is situated to the SW of the Cabo São Vicente Canyon (CSVC) reverse fault, in the SE flank of the Horseshoe Abyssal Plain. It dips to the SE and just to the west of the fault. It is the origin of the Ms = 8.0 earthquake occurred in 28 February, 1969 (Figure 4). This was the highest instrumental earthquake event in the Iberia–Morocco–Atlantic domain [11,17]. The seismic activity at Cabo São Vicente Canyon (CSVC) could be attributed to infiltration of the sea water along the fault plane and corresponding lubrication, facilitating the movement along it [13]. Deformation is distributed over an increasingly large area that can reach a N–S width of 300 km near the continental margin of Iberia [18].
J. Mar. Sci. Eng. 2019, 7, 208 4 of 21 J. Mar. Sci. Eng. 2019, 7, x FOR PEER REVIEW 4 of 20
Figure 3.3. PortuguesePortuguese continental continental margin margin represented represented in 3D. in The3D.most The evidentmost evident structure structure is the Gorringe is the GorringeBank with Bank 200 kmwith in 200 length. km in Abbreviations length. Abbreviation by alphabeticals by alphabetical order are: Aorder Smt: are: Ampere A Smt: Seamount; Ampere Seamount;CoP Smt: Coral CoP PatchSmt: Coral Seamount; Patch CSVC:Seamount; Cabo CSVC: São Vicente Cabo Canyon;São Vicente GaB: Canyon; Guadalquivir GaB: Bank;Guadalquivir Ge Smt: Bank;Gettysburg Ge Smt: Seamount; Gettysburg HAP: Seamount; Horseshoe HAP: Abyssal Horsesho Plain;e HAbyssal Smt: Hirondelle Plain; H Smt: Seamount; Hirondelle HSS: Seamount; horseshoe HSS:Scarp; horseshoe MPS: Marqu Scarp;ês de MPS: Pombal Marquês Scarp; de Or Pombal Smt: Ormonde Scarp; Or Seamount; Smt: Ormonde PAM: PrincipesSeamount; de PAM: Avis Mountain;Principes dePSS: Avis Pereira Mountain; de Sousa PSS: Scarp; Pereira SAP: de Seine Sousa Abyssal Scarp; SAP: Plain. Seine TAP: Abyssal Tagus Abyssal Plain. TAP: Plain Tagus (adapted Abyssal from Plain [4]). (adapted from [4]). The Horseshoe Scarp (HSS) is situated to the SW of the Cabo São Vicente Canyon (CSVC) reverse fault,A in small the SE area flank between of the Horseshoe7°W–8°W Abyssaland 36°N Plain.–37°N It shows dips to significant the SE and seismic just to the activity west of(Figure the fault. 4), butIt is the the bathymetry origin of the variationMs = 8.0 earthquakeis not significant, occurred co inmpared 28 February, with the 1969 previous (Figure 4structures.). This was The the authors highest didinstrumental not find publications earthquake eventrelated in to the this Iberia–Morocco–Atlantic area and further tectonic domain investigation [11,17]. should be carried out in thisThe zone. seismic Nevertheless, activity at Caboit is the São most Vicente likely Canyon location (CSVC) of the could source be attributed of the 1722 to infiltrationearthquake of and the tsunamisea water (Figure along the4c). fault plane and corresponding lubrication, facilitating the movement along it [13]. DeformationAnother isstructure, distributed but over with an less increasingly seismic activi largety, area is thatthe Pereira can reach de a Sousa N–S width Scarp of (PSS), 300 km a nearN–S normalthe continental fault with margin downthrown of Iberia [18of]. the west of the block. It was uplifted and rotated by ongoing compressionA small without area between reactivation 7◦W–8 because◦W and it 36 is◦ notN–37 suit◦Nably shows oriented significant relative seismic to the present activity stress (Figure field;4), belowbut the it bathymetry is the East dipping variation blind is not thrust significant, of Príncipe compared de Avis with seamount. the previous It is a structures. possible source The authors for the earthquakedid not find occurred publications on the related 12th November, to this area and1858, further offshore tectonic Sinesinvestigation and Setúbal (Figure should be4). carried out in this zone.Guadalquivir Nevertheless, Bank it(GaB) is the is most an E likely–W pop-up, location 50 of thekm sourcelong and of the 30 1722km wide. earthquake It is the and source tsunami of instrumental(Figure4c). seismicity, suggesting active uplift of an inherited paleo-relief of late Mesozoic age [8,16]. Another interesting structure is the Marquês de Pombal Scarp (MPS), which was identified as a major overthrust [18,19], oriented NNE–SSW of the continental margin over the ocean basins to the WNW, with sea bottom elevation of 1.1 km in a domain located 100 km to the SW of Portugal; this thrust could be followed in that direction for 60 km and extended at least to 30 km depth [3]. Furthermore, the instrumental seismicity of the East Section is complex and more diffuse [3,14] and the definition of the plate boundary is not clear. Generally, the earthquakes are shallow (less than 14 km), and the magnitude is less than 6.2 (Figure 4). By analyzing Figure 4, four clear clusters of
J. Mar. Sci. Eng. 2019, 7, x FOR PEER REVIEW 5 of 20 earthquakes can be detected on the Gorringe Bank, on the Horseshoe Scarp (HSS), on the Cabo São Vicente Canyon (CSVC) and on a small area between 7°W–8°W and 36°N–37°N. The fact that many
J.present-day Mar. Sci. Eng. earthquakes2019, 7, 208 are situated on this section shows that the tectonic activity is still continuing,5 of 21 with the potential to generate large earthquakes that trigger tsunamis [20,21].
Figure 4. SeismicitySeismicity of of the the East East Section: Section: (a) (amagnitude,) magnitude, (b) (focalb) focal depth, depth, (c) major (c) major earthquake. earthquake. (T) (T)indicates indicates that that the the earthquake earthquake generated generated a atsunami. tsunami. Data Data from from United United States States Geological Geological Survey (USGS), fromfrom 1414 DecemberDecember 20002000 toto 1414 DecemberDecember 20072007 (adapted(adapted fromfrom [[4,17]).4,17]).
AnotherSince the structure, 1755 earthquake but with and less tsunami seismic activity,is a historic is theal event, Pereira there de Sousa are uncertainties Scarp (PSS), arelated N–S normal to the faultlocation with of downthrown its source, combined of the west with of complex the block. seis Itmo-tectonics was uplifted described and rotated above. by ongoing One of compressionthe key tools withoutto understand reactivation past tsunamis because is it to is notcarry suitably out nume orientedrical modeling, relative to at the regional present scale stress (propagation) field; below and it is thelocal East scale dipping (inundation). blind thrust A numerical of Príncipe model de Aviscan be seamount. used to complement It is a possible historical source fordata, the allowing earthquake the occurredvalidation on of the the 12th source November, model. Another 1858, off advantageshore Sines of and this Set toolúbal is (Figureto carry4 ).out simulations on coastal areasGuadalquivir where there are Bank no (GaB) accounts. is an In E–W this pop-up, case, the 50 model km long results and provide 30 km wide. a more It iscomprehensive the source of instrumentalanalysis of the seismicity, tsunami impact. suggesting For activethese upliftreasons, of anin this inherited study, paleo-relief numerical ofmodeling late Mesozoic was carried age [8 ,out16]. at theAnother local scale interesting (including structure inundation) is the at Marqu downtownês de PombalLisbon. Scarp (MPS), which was identified as a majorMoreover, overthrust several [18, 19authors], oriented have NNE–SSWused different of themethodologies continental that margin pointed over out the that ocean the basins tsunami to thesource WNW, area with could sea be bottom located elevation on the Gorringe of 1.1 km Bank in a domain( Figure located3; Figure 100 4): km a) to Santos the SW et of al. Portugal; [22] re- thisanalyzed thrust tsunami could be travel followed times in reported that direction by the for witn 60esses. km and They extended conducted at least the towave 30 km ray depth analysis [3]. and determinedFurthermore, the tsunami the instrumental source area seismicitycould be located of the on East the Section Gorringe is complex Bank; b) and turbidities more di wereffuse found [3,14] andnearby the the definition Gorringe of the Bank plate by boundary two different is not teams clear. Generally,of researchers the earthquakes [23,24] who are concluded shallow (less that than the 14records km), andwere the associated magnitude with is the less 1755 than earthquake 6.2 (Figure; 4c)). a By seismic analyzing moment Figure assessment4, four clear was clusters conducted of earthquakesby [25] and the can author be detected proposed on the an Gorringe earthquake Bank, of M onw the= 8.7, Horseshoe with the Scarpsource (HSS), model on located the Cabo on Stheão VicenteGorringe Canyon Bank, and (CSVC) with and dimensions on a small of area200 km between by 80 7km;◦W–8 d)◦ seismicW and 36intensity◦N–37◦ N.modeling The fact was that carried many present-dayout by [11], earthquakeswho were able are to situated validate on the this observ sectioned shows seismic that intensity; the tectonic e) numerical activity is modeling still continuing, of the with1755 thetsunami potential was to carried generate out large at the earthquakes regional scale that triggerby [22]. tsunamis The authors [20,21 were]. able to validate the tsunamiSince initial the 1755 response, earthquake which and was tsunami the subsidence is a historical at Cadiz, event, Spain there and are Morocco, uncertainties as reported related by to the locationwitnesses. of The its source, authors combined also validated with complexmost of the seismo-tectonics travel times report describeded by above.the witnesses, One of theand key tsunami tools towater understand level waveforms past tsunamis in the isUK; to carryf) numerical out numerical modeling modeling, of the 1755 at regional tsunami scale carried (propagation) out at the local and localscale scaleon several (inundation). Portuguese A numerical coastal areas model allowed can be researchers used to complement to calculate historical the tsunami data, allowinginundation, the validationreproducing of thetsunami source travel model. times Another and advantagelocal tsunami of this features tool is to such carry as out the simulations number of on coastalwaves, areasinundation where extension, there are noand accounts. run-up [17,26 In this–28]. case, As thea consequence, model results in providethis study, a more the comprehensivetsunami source analysisarea will of be the considered tsunami impact.at the Gorringe For these Bank, reasons, with in the this source study, parameters numerical modeling used by [11,17,25 was carried–28]. out This at theis a localkey input scale for (including the numerical inundation) modeling at downtown of the 1755 Lisbon. tsunami. Moreover, several authors have used different methodologies that pointed out that the tsunami source area could be located on the Gorringe Bank (Figure3; Figure4): (a) Santos et al. [ 22] re-analyzed tsunami travel times reported by the witnesses. They conducted the wave ray analysis and determined the tsunami source area could be located on the Gorringe Bank; (b) turbidities were found nearby the Gorringe Bank by two different teams of researchers [23,24] who concluded that the records were associated with the 1755 earthquake; (c) a seismic moment assessment was conducted by [25] and the J. Mar. Sci. Eng. Eng. 20192019,, 7,, x 208 FOR PEER REVIEW 6 of 20 21
3. Methods author proposed an earthquake of Mw = 8.7, with the source model located on the Gorringe Bank, and withIn dimensions this study ofseveral 200 km methods by 80 km; were (d) used, seismic as summa intensityrized modeling in Figure was 5. carriedThe historical out by data [11], were who werecompiled able tofrom validate different the observedsources, namely seismic historical intensity; accounts (e) numerical [29], modelingand census of data, the 1755 both tsunami before wasand aftercarried the out disaster at the [1,29]. regional In addition, scale by [ 22the]. scale The authors model of were the ablecity before to validate the earthquake the tsunami (Figure initial response,6) allows whicha 3D perspective was the subsidence of Lisbon, at including Cadiz, Spain an indication and Morocco, of the as reportedbuildings’ by heights. the witnesses. The authors also validated most of the travel times reported by the witnesses, and tsunami water level waveforms in the UK; (f) numerical modeling of the 1755 tsunami carried out at the local scale on several Portuguese coastal areas allowed researchers to calculate the tsunami inundation, reproducing tsunami travel times and local tsunami features such as the number of waves, inundation extension, and run-up [17,26–28]. As a consequence, in this study, the tsunami source area will be considered at the Gorringe Bank, with the source parameters used by [11,17,25–28]. This is a key input for the numerical modeling of the 1755J. Mar.tsunami. Sci. Eng. 2019, 7, x FOR PEER REVIEW 6 of 20
3. Methods In this study several methods were used,used, as summarizedsummarized in Figure5 5.. TheThe historicalhistorical datadata werewere compiled from different different sources, namely historical accounts [29], [29], and census data, both before and after the disaster [[1,29].1,29]. In In addition, addition, the the scale scale model model of the the city city before before the the earthquake earthquake (Figure 6 6)) allowsallows a 3D perspective of Lisbon, including an indication of the buildings’ heights. a 3D perspective of Lisbon,Figure 5.including Schematic an summary indication of the of methodsthe buildings’ used in heights. this study.
In order to construct the detailed digital elevation model (DEM) for the tsunami model, it was necessary to prepare the vector plot of Lisbon before the earthquake. This has been an ongoing task that started in 2005. It was based mostly on the topographic plant of the ruined city of Lisbon [30], presented in Figure 7. In this map, also the new project for the reconstruction of the city is shown [31]. The vector plot of the city before the earthquake has also been updated as new archeological evidence has been discovered [32–36]. Furthermore, archeological data was also used to identify local altimetry of the study area before the disaster, combined with modern topographic data. In addition, in order to carry out an accurate numerical model, described in more detail below, historical bathymetry maps were also compiled [37]. All the evidence shows that downtown Lisbon consisted of many open areas and squares before the earthquake. Almost all the streets were wider than 6 m, and only a few streets were narrow with the narrowest streets 3m wide. Hence, the resolution of the numerical model must reproduce these features and, accordingly, the cell size of the computational area for the inundationFigure was 5. 3 Schematicm.Schematic summary summary of of the the methods used in this study.
In order to construct the detailed digital elevation model (DEM) for the tsunami model, it was necessary to prepare the vector plot of Lisbon before the earthquake. This has been an ongoing task that started in 2005. It was based mostly on the topographic plant of the ruined city of Lisbon [30], presented in Figure 7. In this map, also the new project for the reconstruction of the city is shown [31]. The vector plot of the city before the earthquake has also been updated as new archeological evidence has been discovered [32–36]. Furthermore, archeological data was also used to identify local altimetry of the study area before the disaster, combined with modern topographic data. In addition, in order to carry out an accurate numerical model, described in more detail below, historical bathymetry maps were also compiled [37]. All the evidence shows that downtown Lisbon consisted of many open areas and squares before the earthquake. Almost all the streets were wider than 6 m, and only a few streets were narrow with the narrowest streets 3m wide. Hence, the resolution of the numerical model must reproduce these features and, accordingly, the cell size of the computational area for the inundation was 3 m. Figure 6. PartPart of of the the Lisbon Lisbon city city befo beforere the the 1755 1755 disaster. disaster. The Thescale scale model model was built was during built during the 1950s the 1950sand is and available is available at the at Lisbon the Lisbon Museum Museum to the to thepublic. public. Photo Photo taken taken by by the the second second author author on on 17 September 2018.
The administrative limits of the civil parishes of Lisbon have been changing over time, and in some cases even the names have been changed. For this reason, the civil parishes’ limits before the
Figure 6. Part of the Lisbon city before the 1755 disaster. The scale model was built during the 1950s and is available at the Lisbon Museum to the public. Photo taken by the second author on 17 September 2018.
The administrative limits of the civil parishes of Lisbon have been changing over time, and in some cases even the names have been changed. For this reason, the civil parishes’ limits before the
J. Mar. Sci. Eng. 2019, 7, 208 7 of 21
In order to construct the detailed digital elevation model (DEM) for the tsunami model, it was necessary to prepare the vector plot of Lisbon before the earthquake. This has been an ongoing task that started in 2005. It was based mostly on the topographic plant of the ruined city of Lisbon [30], presented in Figure7. In this map, also the new project for the reconstruction of the city is shown [ 31]. The vector plot of the city before the earthquake has also been updated as new archeological evidence has been discovered [32–36]. Furthermore, archeological data was also used to identify local altimetry of the study area before the disaster, combined with modern topographic data. In addition, in order to carry out an accurate numerical model, described in more detail below, historical bathymetry maps wereJ. Mar.also Sci. Eng. compiled 2019, 7, x [ 37FOR]. AllPEER the REVIEW evidence shows that downtown Lisbon consisted of many open areas 7 of 20 and squares before the earthquake. Almost all the streets were wider than 6 m, and only a few streets wereearthquake narrow have with theto be narrowest compiled streets [38]. 3mIconography wide. Hence, representing the resolution the ofdisaster the numerical in Lisbon model was must also reproducecompiled. These these featuresimages are and, available accordingly, on a permanent the cell size exhibition of the computational at the Museum area of for Lisbon the inundation and allow wasa more 3 m. comprehensive analysis of the disaster.
Figure 7. Reproduction of the “Topographic plantplant ofof thethe ruinedruined citycity ofof Lisbon”Lisbon” [[30].30].
TheThe administrativetsunami source limitsmodel of considered the civil parishes the earthq of Lisbonuake fault have parameters been changing proposed over by time, [11,17,25 and in– some28], with cases dimensions even the of names 200 km have by 80 been km, changed. located on For the this Gorringe reason, Bank. the The civil co-seismic parishes’ displacement limits before theof the earthquake seafloor haveis transferred to be compiled to the [38sea]. Iconographysurface displacement representing because the disasterthe rupture in Lisbon process was of also an compiled.earthquake These is usually images much are available shorter onthan a permanent the tsunami exhibition wave period. at the Museum Thus, the of Lisboninitial andsea allowsurface a moredisplacement comprehensive of the 1755 analysis tsunami of the was disaster. calculated by using the Okada formulas [39], which lead to a maximumThe tsunami uplift of source about model 6 m and considered a subsidence the earthquake of 0.4 m (Figure fault parameters 8a). proposed by [11,17,25–28], with dimensionsThe tsunami of modeling 200 km bywas 80 carried km, located out by on using the Gorringethe TUNAMI-N2 Bank. The code co-seismic of the Tohoku displacement University of thewhich seafloor considers is transferred the non-linear to the seashallow surface water displacement equations, because discretized the rupturewith a staggered process of leap-frog an earthquake finite isdifference usually much scheme shorter [40]. thanThe governing the tsunami equation wave period.s, written Thus, in theCartesian initial seacoordinates, surface displacement are: of the 1755 tsunami was calculated by using the Okada formulas [39], which lead to a maximum uplift of about 6 m and a subsidence∂𝑀 of∂ 0.4𝑀 m (Figure∂ 𝑀𝑁8a). ∂𝜂 𝑔𝑛 𝑀 + + +𝑔𝐷 + 𝑀 +𝑁 =0 (1) ∂𝑡 ∂𝑥 𝐷 ∂𝑦 𝐷 ∂𝑥 𝐷
∂𝑁 ∂ 𝑀𝑁 ∂ 𝑁 ∂𝜂 𝑔𝑛 𝑁 (2) + + +𝑔𝐷 + 𝑀 +𝑁 =0 ∂𝑡 ∂𝑥 𝐷 ∂𝑦 𝐷 ∂𝑦 𝐷
∂𝜂 ∂𝑀 ∂𝑁 + + =0 (3) ∂𝑡 ∂𝑥 ∂𝑦 where, 𝑀 = 𝑢dz (4)