Introduction

The coasts of Chile are subject to a high incidence of tsunami due to high seismic activity associated to the Peru–Chile Trench, where the Nazca Plate subducts beneath the South American Plate (Kulikov et al. 2005). The magnitude of the energy released in the interaction interplates generates a high frequency of earthquakes capable of triggering tsunamis, many of which have impacted these coasts in the last four centuries, with run-up in the order of 15–21 m along the area adjacent to the coastline (Barrientos et al. 2007; Ruiz and Madariaga 2018). South-central Chile is the most extensively studied area, because this coastal region is the most tectonically active where large megathrust earthquakes frequently occur. However, the historic tsunamogenic events in the North coast is not well known yet (León et al. 2019; Costa and Andrade 2020), although the identification of these events has fundamental implications for current understanding of the risk and potential magnitude of earthquakes in northern Chile.

Regarding Atacama region, historical reports of tsunamis are available. Thus, on April 11, 1819, there was a magnitude 8.5 earthquake at sea off Caldera. This earthquake lasted approximately 7 min and almost completely destroyed the city of Copiapó. In Caldera, a tsunami with waves up to four meters high was registered. The tsunami reached all coasts within a radius of 800 km, reaching the coast of Hawaii. More recently, on November 11, 1922, the Vallenar earthquake, also in Caldera with its epicenter located in the Andes mountains range, hit the Chilean coast about 15 min reaching the waves a maximum height of 8 m and destroying several civil buildings. In Chañaral (1922), the tsunami consisted of three waves which destroyed most of the buildings and road infrastructure (http://www.sismo24.cl/500sismos/730h1922vall.html, http://www.sismologia.cl/links/terremotos/). Three waves were also observed in Coquimbo, the last one being the most destructive, with a maximum height of seven meters. In Huasco, the wave was five meters high. Other towns such as Carrizal Bajo, Tongoy, and Los Vilos also suffered the impact of the sea.

Recently, Klein et al. (2017) analyzed the coupling between the two plates from 27°S to 37.5°S after the 2015 Illapel earthquake and concluded that there are two possible future seismic scenarios compatible with each other. These authors raise the possibility that an earthquake of magnitude ≥ 9, belonging to the 300-year supercycle, may occur in a rupture zone that spans from Concepción (37°S) to at least La Serena (30°S) or even further north. On the other hand, there is a high probability that, after the Illapel earthquake, there will be a northward propagation of seismicity, causing a rupture of the segment in Atacama that would generate an earthquake of magnitude ≥ 8. According to these authors, the coupling in this segment is mature enough to generate an event of this magnitude; therefore, this scenario seems the most likely of the two. In any event, the tsunami generated after either one of the two proposed seismic events and would affect the coasts of the Atacama Region with a very significant magnitude. For this reason, the probability of a high-energy marine event in the area is very high.

In this context, the study of the frequency and intensity of tsunamis can contribute to the prediction of new catastrophic events. While the historical record of earthquakes and tsunamis in the last two centuries has been reasonably well determined (Fritz et al. 2011; Donnelly et al. 2017; Ruiz and Madariaga 2018), however, the lack of information for prehistoric periods is especially relevant in the Atacama Desert region, where the geological record of tsunamis has been assumed to be scarcer due to the unfavorable conditions for preservation, with a steep coastal geomorphology and high levels of erosion in the hyper-arid climate (Spiske et al. 2013). However, recently, in the Atacama region, towards the North of Copiapó River estuary, was discovery many boulder fields associated with sand lobes in the opposite direction to the sea and that could be related to paleotsunamis. For this, a study has been carried out that integrates sedimentological, geochemical and biological analyzes, including characterization of the boulders, composition and properties of the substrate, isotopic ratios and diatoms analyzes.

Materials and methods

Geomorphological and environmental setting

The north coast of Chile has a straight general layout but locally abrupt with a succession of small beaches, pocket bays, a steep coastal slope dominate by coastal cliffs. The study area is located in Bahía Inglesa (Fig. 1), a small bay in the coastal Atacama Desert region. Two topographic and geological environments converge. In one side, the ancient massif of the Morro de Copiapó, located on the western sector (295–100 m a.s.l.). On the other side, the area of Bahía Inglesa, in the eastern sector, with altitudes between 100 and 0 m a.s.l. formed by Neogene and Quaternary deposits (Figs. 1, 2a). The Morro de Copiapó is composed by granodiorites, quartzite diorites, and tonalite of Jurassic age. Granodiorites Morro Copiapó, Godoy et al. (2003)). They are densely fractured conditioning the fluvial network and the morphology of the cliffs over the Pacific Ocean. These materials are bordered on their margins by faults, highlighting the Morro Copiapó fault that marks the contact with the Bahía Inglesa (Fig. 2a), although there are also small rocky outcrops close to Bahía Inglesa locality (Figs. 2a, b). The Bahía Inglesa Fm was sedimented during the Neogene discordantly covering the rocky substrate of the eastern sector of the Morro de Copiapó. This marine-littoral sedimentary environment is characterized by several such as conglomerates, breccias, mollusk lumaquelas, sandstones and grayish-yellow shales; the last ones may have muddy appearance and intercalations of diatomites, phosphorites and grayish and whitish cinerites (Carreño 2012). Abundant fossils like scales and fish, skeletal of birds, cetaceans and sea lions or many mollusk species have been found (Guzmán et al. 2003; Marchant et al. 2000). Achurra (2004) interpret this geological formation as the result of the continental platform sedimentation with transitions toward slope deposits during the Neogene. In addition, the north and central Chilean coast was subject to a continued subduction process among plates along the Cenozoic that determined the main tectonic deformations (Hartley et al. 2000; Marquardt et al. 2000a, 2000b; Laursen et al. 2002; González et al. 2003; Encinas et al. 2008).

Fig. 1
figure 1

a Location of the study area indicate by a rectangle of the coast of Bahía Inglesa in the Atacama region (Chile); b Topography of the studied sector; c General view and situation of the Morro Norte area and location of the study area; d Paleotsunami deposit of sandy lobes and boulder fields (DigitalGlobe © 2016); e Boulder field situation; and f Panoramic view of the boulder field

Fig. 2
figure 2

a Geomorphological map of the study area (see Fig. 1e); b cross-section and location of the palaeotsunami remains

The Bahía Inglesa Fm and part of the granodiorites of the Morro de Copiapó were discordantly covered by eight levels of Quaternary marine terraces named Estrato de Caldera Fm (Marquardt et al. 2000a, 2004). Above them, there are older stages, badly preserved, located over 300 m a.s.l. The ages of these morphologies are important to calculate the coastal uplift during the Quaternary. Up to now, the average rates are assessed on 0.3/0.4 m/ka (Goy et al. 1992; Macharé and Ortlieb 1992; Marquart et al. 2004).

Climatic conditions are those of Coastal Desert with abundant clouds (BWn) according to Köppen classification. The scarce rainfalls are concentrated in few days during the winter (June and July). The presence of coastal fogs, locally named camanchacas, is very frequents/relevant source of water? They are formed by the wet air traversing the Humboldt Current. However, the most significant phenomenon of interannual variability is the ENSO. In the area of Bahía Inglesa-Caldera rains are concentrated in June and July, normally in one to three annual events, annual average is about 26.9 mm (Caldera). There are sporadic extreme events, like in 1997, when the weather station of Caldera recorded 84.0 mm in August, and 90% fell in 1 day (Cereceda et al. 2000). Average annual temperature is of 16.1 °C, with large daily oscillations.

The northwest–southeast orientated embayment of Bahía Inglesa is protected from the dominant south-west waves by a high rocky headland in the south extreme. The swell on the coasts of Chile is mainly characterized by waves generated in large ocean sectors, specifically from low-pressure systems in the South Pacific, and head towards the southern extreme of South America (Monárdez et al. 2008). The local mean tidal range is ~1 m in the coast of the Atacama Desert region, with a regional estimate of the mean significant wave height of 2.04 m (Campos 2016), while it reaches 4 m in the extreme south of Chile according to satellite measurements (Fugro OCENOR: http://www.oceanor.no/Services/Worldwaves/WW_database).

Description and analysis of the boulder field

The distribution pattern of unusually large boulders in the study area were mapped using a Stonex 8 GNSS GPS. The analyzed blocks were associated with a 150-m-long sand lobe (Fig. 2) composed of very fine sands. Fifty-four blocks were characterized. For each block, its long axis (L), intermediate axis (I), and short axis (S) were measured to determine its volume. Because the product of L·I·S is a simplification of the volume of the block (Robinson et al. 2008), triangulation was performed based on the methodology of Roig-Munar et al. (2015), whose average result reduces volumetric values by 15% and gives a more reliable estimate of the actual volume of the blocks. From this volume, granite density (2.63 t/m3) was used to calculate their mass.

To analyze the blocks, the values of the Transport Figure (TF; Eq. 1, Scheffers and Kelletat 2003), which uses basic block parameters (weight, altitude, and distance from the coast) were calculated. TF values is an estimates the energy necessary to mobilize and transport each block.

$${\text{TF }} = \, P \, \cdot \, D \, \cdot \, H,$$
(1)

where P is the weight of the block in tons, D is the distance from the block to the sea in meters, and H is the height of the block above sea level in meters.

In this case, given the location of all the blocks on the marine terrace +70/75 m asl, the distance to the paleocoast found on the lower marine terrace, located at +45/50 m asl, was considered. The same technique was followed to estimate parameter H adjusted to the paleocoast. The relationship between the boulders morphometry and their spatial arrangement variables has been explored using a Spearman correlation (rs) analysis, applying a t Student test to determine the level of statistical significance of correlations between parameters. All statistical analyses were performed using XLSTAT (2020).

Sediment analysis of sandy lobes

Samples of 200 g of the greater sandy lobe in the Bahia Inglesa deposit have been collected in two points at four depths (i.e. 0–5, 5–10, 10–15 and 15–20 cm). The sized particles were separated using the Robinson pipette method (Gee and Bauder 1986). Twenty grams of dry sample were subjected to attack by hydrogen peroxide (15%) for 5 days to remove organic matter; 50 ml HCl (1 M) were then added and left for 20 min, occasionally shaking, to remove oxides and hydroxides of Al and Fe. The sample was then washed until free from chlorides, and sodium hexametaphosphate was added as a dispersing agent. Mechanical agitation (2 h) used in combination with chemical treatments enhances dispersal. After dispersal, the samples were sieved in the following six fractions: Fine sand (5 × 10–2–0.2 mm), medium sand (0.2–0.6 mm), coarse sand (0.6–2 mm) and gravels (> 2 mm). Clay and silt fraction were determined in the fraction less than 5 10–2 mm according to the Robinson pipette method (Gee and Bauder 1986). Total organic carbon (TOC) was determined by an elemental analyzer (LECO-CNS model 2000) after pretreatment of the samples with 6 mol l−1 HCl to eliminate the possible presence of inorganic carbon. pH was determined in an extract 1:2.5 (10 g of sediment and 25 ml distilled water), electrical conductivity (EC) in an extract 1:5 (Dellavalle 1992). Soluble anions and cations were analyzed in an extract 1:5 previous filtration of the sample by 0.45 μm. Dissolved cations was measure by atomic absorption spectrometer with a Perkin Elmer 3100, while anions was measured by ion exchange chromatography with a Dionex ICS-5000 Capillary Ion Chromatography System (Dahnke and Whitney 1988). The mineralogical content was determined in ground samples of the sand lobes by fluorescence of X-ray spectrometry (XRF) with a Bruker-Nonius wavelength dispersing S4 fluorescence spectrometer in the University of A Coruña’s Research Support Service (Servizo de Apoio a Investigación, S.A.I.).

Stable isotopes analyses

Samples of the sand lobes to four depths (0–5, 5–10, 10–15, 15–20 cm) of the Bahía Inglesa deposit were ground powder. Also, three spatial replicates of soils samples (0–5 cm) were collected in the south of the study area, one sampling point are inland soils of the Atacama region (AT1–AT2) in the upper Copiapó river basin near the city of Copiapó (Copiapó, Chile), and other sampling point are soil samples in the coastal area (CO1–CO3) near and the mouth of the Copiapó river and the town of Puerto Viejo (Copiapó, Chile). The possible presence of carbonates in soil and sediment samples has previously been ruled out by direct acidification with 1 N HCl 1:10 (p/v) at room temperature during 12 h according to Verardo (1990). Samples were then washed by centrifugation in deionized water. Finally, the samples were dried in an oven at 40 °C overnight and subsequently ground. The natural abundance of 13C in sediments was determined after conversion of dried samples to CO2 in an elemental analyzer (Carlo Erba Instruments EA 1108) coupled through interface ConfloIII (ThermoFinnigan) to an isotope-ratio mass spectrometer (Thermo Finnigan MAT253). Natural abundance values of 13C were expressed as isotope ratios (‰) according to the formula:

$${\text{d}}X \, = \, \left[ {\left( {R_{{\text{sample}}} \, /R_{{\text{standard}}} } \right) \, - \, 1} \right] \, 1000,$$

where X = 13C, R = 13C/12C, and standard = Peedee Belemnite carbonate for δ13C. All isotope determinations were run in duplicate.

Diatoms and sponge spicules preparation samples

30 g sediment samples of the sand lobes to four depths (0–5, 5–10, 10–15, 15–20 cm) of the Bahía Inglesa deposit were wet-sieved through nested 350-µm and 5-µm sieves to concentrate the diatom size fraction, as well as to remove silt and clay particles. The diatom and sponge spicule fractions were purified of mineral particles using a high-density ZnBr solution (2.5 g cm−3); the light fraction was then recovered and washed with distilled water, followed by successive centrifugations at 900×g for 4 min. Diatom sample preparation followed the method described by Renberg (1990): aliquots were placed on clean coverslips and allowed to air-dry for LM analysis. For the preparation of permanent slides, coverslips were mounted on glass slides using Naphrax® resin (refractive index = 1.74; Brunel Microscopes: http://www.brunelmicroscopes.co.uk/). Diatoms and sponge spicules were examined under LM with a Nikon Eclipse E600 equipped with a plan-apochromat 100 × objective (N.A. 1.30) and differential interference contrast (Nomarski) optics. LM photographs were taken with an AxioCam ICc5 Zeiss digital camera. Concentrations of diatoms and sponge spicules were estimated by adding to a known volume of the samples a known concentration of polystyrene microspheres with 5 µm diameter, using a calibrated stock solution with 1000 microspheres cm−3. Aliquots of samples were mounted on aluminum stubs, sputtered with platinum/palladium (15 nm) for 1 min using a Cressington Sputter Coater 208HR SEM coating system, and studied with a Field Emission SEM JSM 7200F (JEOL) microscope operated at 15 kV in the Research Support Service (Servizo de Apoio a Investigación, S.A.I.) of the University of A Coruña.

Diatom identification was based on standard diatom floras Krammer and Lange-Bertalot (2000–2006), Lange-Bertalot (2000), Hoffman et al. (2011) and Witkowski (2000), as well as region-specific references (Hustedt 1927; Frenguelli 1929, 1936; Rumrich et al. 2000; Servant-Vildary 1978; Servant-Vildary and Blanco 1984). The autoecological criteria used to define life forms and salinity (halobian) preference groups were mainly Vos and Wolf (1988, 1993), Hemphill-Haley (1993) and van Dam et al. (1994), also regional data of Servant-Vildary et al. (2002) and Hassan et al. (2009) were used as secondary references for inland water diatoms.

Results and discussion

The geomorphological context

The western limit of Bahía Inglesa is formed by the cliffs of granodiorite of the Morro de Copiapó and some reliefs of the Bahía Inglesa Fm partially covered by Quaternary marine terraces. The block of Morro de Copiapó is characterized by flattened surfaces bordered by abrupt scarps forming straight cliffs over the Pacific Ocean, while towards Bahía Inglesa, there are tectonic steps bordered by faults. These structures give place to the formation of two small elongated depressions NNE-SSW oriented (western basins) and to another depression NNW-SSE oriented following the El Morro inverse fault (Figs. 2a, b). The last one is one of the most active faults affecting very young Quaternary deposits (Castro Correa 2014). Due to its softer lithological composition, the Bahía Inglesa Fm was severely eroded by the fluvial network with the formation of rills, deep ravines, wide waddis or badlands.

The most important geomorphological features are the Quaternary marine terraces stepped since the El Morro towards the coastline. These terraces reach between 0.9 and 3 m thickness of gravels, sands, and mollusk shells, sometimes forming compacted lumachelas. Normally, sand forms the matrix in the mollusk layers. These formations are known since one and a half century, but was Paskoff (1970) who started with the researchers in the area during the 60 s and 70 s. Higher and older terraces are located further inland from Bahía Inglesa as pointed by Marquard et al. (2004) and Quezada et al. (2007) at 139, 205–210, and 300–320 m a.s.l. In the study area, the higher level is located at 110–120 m a.s.l. forming a flatten area affected by tilt and fluvial erosion (Figs. 2a, b). This terrace was formed during the MIS9 interglacial, and was dated around 330 ± 10 Ky (Marquardt et al. 2004). The level is extended along the graben side of the Chorrillos ravine, in the east side of El Morro. It forms a paleocliff, together with some hard layers of Neogene calcarenites of the Bahía Inglesa Fm. On its foot, there are younger marine terrace levels. These younger accumulations are at + 70–90 m, + 45–50 m, + 30–40 m, + 16–23 m, + 7–10 m a.s.l., although the last one has smaller surface (Figs. 2a, b). There are several deformations due neotectonic activity, highlighting the faults uplifting the terrace of + 70–75 m to + 80–90 m (Fig. 2a). Marquardt et al. (2004), using the U/Th and ESR datings of Radtke (1987) and Leonard et al. (1994) in areas close to Bahía Inglesa and the correlation of warm water bivalves (Ortlieb et al. 1997) propose a chronological sequence of marine terraces. The + 70–90 m terrace would belong to MIS 7 (around 210 ± 10 ky), the + 45–50 m terrace was fomed during the MIS5e (125 ± 5 ky), the + 30–40 m terrace during the MIS5c (105 ± 5 ky), the + 16–23 m terrace during the MIS5a (83 ± 3 ky), and the lowest was formed during the Holocene (6 ± 2 ky).

The surface of the marine terraces shows features characteristic from aeolian deflation, giving place to the development of a reg of rounded gravels due to the loss of the fine matrix. The pavement of gravels is widely extended; they have siliceous composition, well rounded and large flattening index. Some gravels have badly developed rock varnishes and aeolian polish, there are also many broken and superficially corroded specimens due to lichens and mosses biochemical action that use to locally form biological crusts (Castro Correa 2014). In the slopes between the steps of the marine terraces, the Bahía Blanca Fm appears, although there are also coverings composed by eroded gravels coming from the immediately upper terrace. In the case of the + 110 and + 70 m terrace, giving its position next to the Morro, there are alluvial cones (Fig. 2a).

Boulder field, morphometry and distribution of the boulders

Over the marine terrace located + 70–75 m a.s.l., the satellite images (Fig. 1d,e) as well as the photographs taken from El Morro (Fig. 3a,b) show large boulder field at the top of the cliff accompanied by three large lobes of sandy sediments. These lobes show elongated shape NE-SW oriented over the terrace and the alluvial fans of the depression formed in the contact with the El Morro fault.

Fig. 3
figure 3

a Panoramic view of the study area landscape in Bahía Inglesa, sand lobes and field boulder deposits on the marine terrace + 70–75 m at the cliff top (see Fig. 1e and Fig. 2), b detail of the sand lobe deposits

The morphometric values of the boulders are shown in Table S1 and Figure 1S. The average weight of the 54 boulders was 1.15 t; and their average distance from the coastline was 112.78 m, with an average orientation of 129° (Figure 1Sa). The shape of the boulders is mainly equant and elongate unfavorable to rolling transport (Figure 1Sb), in fact, the boulders did not show any signs of wave abrasion or friction marks. Conversely, they have been affected by post-depositional desquamation processes. Regarding shape, mean Corey Shape Factor (CSF) (Corey AT 1949) was found to be 0.57, with a value of 1 representing a perfect sphere. Mean altitude of the boulder field was 68.79 m a.s.l. on the cliff-top of the marine terrace at + 70–75 m a.s.l., while at the base of the cliff there is a marine terrace t + 45–50 m a.s.l. (Fig. 2). The orientation of the boulders shows a significant correlation with the distance to the sea (rs = −0.342; p value < 0.05), the most distant boulders to sea (120–127.6 m) are clearly oriented to the NE (0–80°), but the weight and the shape of the blocks does not show significant correlation with the distance to the sea. Therefore, the tsunami that originated this deposit in Bahía Inglesa occurred in the interval that both terraces were formed between two interglacial periods MIS 7 (ca. 210 ± 10 ky) and MIS5e (ca.125 ± 5 ky) according to the chronological frame proposed by Marquart et al. (2004). The combination of the disposition of the deposit on the cliff-top in the hyper-arid environment of the Atacama coast, only affected by aeolian processes and the historically low human presence have preserved this paleotsunami deposit (Spiske et al. 2013; Ishimura and Miyauchi 2015).

The study of boulders transported either by tsunamis or by storms is of great value for reconstructing this type of events occurred in the past (Nott 2003), as well as for estimating the hydraulic properties that have given rise to these accumulations (Imamura et al. 2008). The distinction between them is based on a set of sedimentological, morphological, chronological, stratigraphic, and organizational criteria (Roig-Munar 2016). Goto et al. (2011) proposed that boulder measurements and their spatial distribution can be used to estimate the velocities of wave flows generated by storms or tsunamis. The interlocking boulder deposits aligned along the coasts, either forming a single strip or several overlapping strips, are clear indicators of tsunami-associated transport, according to Browne (2011), Weiss (2012), Scheffers and Kinis (2014), and Roig-Munar et al. (2017). In the last decade, the discussion on boulders transport with the aim of discerning between those originated by tsunamis and by storms has led to a more thorough consideration of the role of storms on rocky shores (Etienne and Paris 2010; Switzer and Burston 2010; Roig-Munar et al. 2017).

The formula applied by Scheffers and Kelletat (2003) simplifies the equations, thus allowing for an approximation to limits and conditions to obtain the storm column of a tsunami wave. According to Scheffers and Kelletat (2003), when applying the TF to their research, TF values up to 230 correspond to boulders transported by storm surges, while boulder with TF > 250 correspond to those transported by tsunami waves. In this case, the criteria of Roig-Munar et al. (2015) for tsunami boulders in the Balearic Islands have been used. These authors established a threshold of TF > 1000 to consider a tsunami-related origin, which offers a greater certainty by establishing a higher margin than that considered by Scheffers and Kelletat (2003).

Applying the Transport Figure equation, an average TF value 2607.53 was obtained for the 54 boulders analyzed. Forty-five blocks had TF values < 1000; these boulders showed average dimensions (L*I*S) of 112, 73, and 48 m and an average weight of 1.12 t (Fig. 3), and they were located at an average distance of 112.50 m from the coastline and at a mean altitude of 68.72 m above the current sea level, with an average orientation of 125.33°. The theoretical calculations using the Scheffers and Kelletat (2003) formulas determines that a tsunami wave can move boulder of 1 t at a height of between 20 and 30 m, so the boulder field is in this theorical range at an altitude of 23.79 m from the paleocoast line following the lower marine terrace at + 45–50 m a.s.l. (Fig. 2). This theoretical possibility of transport of large boulders by tsunami events has been verified in the Paleotsunami deposit of Bahía Cisne in nearby coastal areas (Fig. 1), with a boulder field on the shore at + 20 m from actual sea level (Abad et al. 2019). The rose diagram (Fig. 4) shows that the A-axis presents dominant SE–NW direction, parallel of the paleocoast, and NE-SW direction like the sand lobes orientated with the possible wave flood direction, with a predominant landward movement with a rapid loss of transport capacity of the wave flow inland from the cliff edge.

Fig. 4
figure 4

Boulder distribution and representation of the A-axis direction binned every 10°, the points indicate each of the measured blocks

The boulder field at the top of the cliff in Bahía Inglesa is analogous to the boulder transport by tsunami events documented in other paleotsunami deposit on the near coast of Bahía Cisne (Abad et al. 2019), or on the shore in coastal areas of the Central Chile (Spiske and Bahlburg 2011; Bahlburg and Spiske 2012, 2015; Aedo et al. 2021) and the Peruvian coast (Spiske et al. 2013), but also the boulders field on the shore with a tsunamigenic origin are documented on other Pacific coastal areas, such as the Solomon Islands (McAdoo et al. 2008), Sumatra Island (Indonesia) (Paris et al. 2010), Sabusawa Island (Japan) (Goto et al. 2012) or Sanriku Coast (Japan) (Ishimura and Miyauchi 2015).

Composition and geochemical properties of the sand lobes sediment

The major mineralogical composition of sandy lobes is siliceous, with no major changes in depth. The mean mineralogical composition of the sand lobes sediment is as follows: SiO2 76.31%, Al2O3 5.58%, Fe 5.50%, MgO 3.78, K 2.14, NaAlSi3O8 1.80% and Ca 1.57%. The gravels have a percentage between 2.54 and 6.54%, with an increasing proportion in depth with between 5.23 and 6.54% in the samples of 10–15 and 15–20 cm, respectively. The fraction minor than 2 mm sand was the dominant fraction (92.99–95.00%). Clay and silt represented < 2% (Table 1).

Table 1 Chemical parameters analyzed from the samples of the sandy lobes of the paleotsunami deposit of Bahía Inglesa

The pH was alkaline, ranging between 9 and 9.5 and the electric conductivity was very low (<100 μS cm−1) according with the low ionic concentration observed in the extract (Table 1). Sediment reaction (pH), electric conductivity (EC) and soluble ionic concentration of the sediments (Table 1) have relatively low values with respect to seawater except for pH, also the Na:Cl ratio of 1.37–2.87 is higher than seawater (0.86), however, the conductivity and the majority ions are not always good indicators due to its high solubility can wash out over time (Chagué-Goff 2010).

The organic C content was extremely low (<0.20%) and, accordingly, so was the total N (TN) content, generally lower than the detection limit (DL) (DL < 0.01%), however, the content in total P (TP) is relatively high (Table 1). The high percentage of sands and low total organic carbon (TOC) supports the removal of organic matter during high-energy event consistent with a tsunamigenic origin (Chagué-Goff 2010).

The isotopic signature of the organic matter of the sand lobes sediment deposit in Bahía Inglesa is different between the upper layer BI1 and the lower levels BI2–BI4. Isotopic signature of δ13C shows important differences between the upper layer BI1 with a value of 25.4 ‰ and the lower layers BI2–BI4 with a range of values of −22.8 to −21.4 ‰. The δ13C value of BI1 is close to the values of the coastal samples CO1-CO3 of −26.1 to −27.6 ‰, while the lowest values are soil samples AT1–AT2 of −30.3 to −31.6 ‰ (Fig. 6). Plot of the δ13C signature and C:N ratio (Fig. 6) shows the grouping of samples BI2–BI4 in the range of marine origin, BI1 and CO1–CO3 in the range of coastal origin, and AT1–AT2 in the range of terrestrial origin (Middelburg et al. 1997; Carreira et al. 2002; Barros et al. 2010; Mackensen et al. 2019), while the upper layer BI1 have a coastal origin possibly by subsequent eolian deposition in a hyper-arid environment. The geochemical signature of the tsunami deposits is poorly conserved due to post-depositional erosion processes or washing of more soluble chemical compounds (Chagué-Goff 2010), however, the disposition, genetic origin and the exceptional hyper-arid conditions of the Bahía Inglesa paleotsunami deposit on the Atacama coast have played a key role in the preservation of the original chemical signals of organic matter (Spiske et al. 2013).

Biological remains, diatoms and sponge spicules

Biological remains, diatom and sponge spicules, incorporated in sedimentary records of the sandy lobes (Fig. 7) constitute reliable stratigraphic evidence to determine the provenance of the deposit and estimate tsunami run-up beyond the landward limit of tsunami deposits (Roux et al. 1991; Dura et al. 2016; Pilarczyk et al. 2014; Hocking et al. 2017; Hong et al. 2017; Castillo-Aja et al. 2019). Also, the presence and abundance of diatoms and sponge spicules coincide with previous sedimentary and geochemical evidence in sand lobes (i.e., grain size, carbon content, trace elements, isotopes signature) (Figs. 5, 6) all of them indicative of a tsunamigenic origin. A total of 27 diatom taxa were observed in sedimentary deposits of Bahía Inglesa (Table S2). The upper levels BI1–BI2 (0–5 cm, 5–10 cm) showed no presence of diatoms, but the lower levels BI3–BI4 (10–15 cm, 15–20 cm) showed small diatom concentrations, estimated between 19.5 and 82.6 diatom valves per 30 g. Compositions of diatom communities were similar between both levels BI3–BI4: a mixture of freshwater, brackish, and marine taxa with a high percentage of brackish/marine diatoms (53.8–62.4%). Of particular importance were planktonic marine taxa such as Paralia sulcata, Aptinoptychus senarius, and Amphitetras antediluviana (Fig. 7). Alkaline conditions lead to a poor conservation status of diatom valves, and a large proportion of valves were fragmented (70.5–78.9%) (Fig. 7). Allochthonous diatom marine communities or a chaotic mixture of marine, brackish, and freshwater taxa in coastal or continental deposits may constitute evidence of marine tsunami events, as documented in other paleotsunami deposits in the Chilean coast and South America (e.g., Chagué-Goff et al. 2011, 2015; Goff et al. 2011) or in other regions of the world (e.g., Hemphill-Haley 1995; Sawai et al. 2002; Dura et al. 2016).

Fig. 5
figure 5

Biological remains, both diatom and sponge spicules, in the sand lobes of the study area in Bahía Inglesa (Chile)

Fig. 6
figure 6

Plot of the δ13C signature and C:N ratio of sand lobes samples of Bahía Inglesa tsunami deposit (BI-Bahía Inglesa) and regional soils samples (CO-Copiapó; AT-Atacama). The compositional ranges illustrated in the plots are derived from previously published studies (Middelburg et al. 1997; Goñi et al. 2003; Barros et al. 2010; Yu et al. 2010; Mackenses and Schmiedl 2019)

Fig. 7
figure 7

Diatoms taxa (an) and marine sponge spicules (ou) presents in Bahía Inglesa sedimentary deposits: a Aptinoptychus senarius (Ehrenberg) Ehrenberg; b Amphitetras antediluviana Ehrenberg; c Diploneis dydima (Ehrenberg) Ehrenberg; d Halamphora turgida (Gregory) Levkov; e Paralia sulcata (Ehrenberg) Cleve; f Cocconeis distans W. Gregory; g Achnanthidium minutissimum (Kützing) Czarnecki; h Pseudostaurosira brevistriata (Grunow) D.M.Williams and Round; i Tabellaria flocculosa (Roth) Kützing; j Opephora sp.; k Eunotia implicata Ehrenberg; l Pinnularia borealis Ehrenberg; m Pinnularia microstauron (Ehrenberg) Cleve; n Caloneis sp.; oq type 1, fragments of monactinal monaxon spicules slightly curved with smooth surface; rs type 2, fragments of monactinal monaxon spicules slightly curved with microspines; t type 3, fragments of tylostyle spicules; u type 4, triradiate spicules. (scale bar = 10 µm)

Mainly four morphotypes of marine sponge spicules were observed in sedimentary deposits of Bahía Inglesa (Fig. 7). The high fragmentation of spicules (90–100%) prevented their identification at the species level. Type-1 sponge spicules, the most abundant morphotype, were monactinal, monaxon, and slightly curved, showed a smooth surface, and they measured 715.6 ± 97.15 (592.7–810.4) µm long and 10.3 ± 2.61 (8.4–12.5) µm wide. Type-2 sponge spicules were long, acanthostyle, and slightly curved, with a microspine surface. Larger spicule fragments were 134.7 ± 48.35 (90.3–188.7) µm long and 5.2 ± 0.78 (4.1–6.0) µm wide. Type-3 sponge spicules were long, narrow, tylostyle, and slightly curved and showed a smooth surface. Larger fragments were 215.6 ± 37.15 (187.5–244.6) µm long and 4.5 ± 1.08 (3.2–5.8) µm wide. Type-4 sponge spicules were triradiate, and their average axis length was 18.77 ± 3.8 (15.2–26.1) µm. The upper level BI1 (0–5 cm) showed no presence of sponge spicules. The middle level BI2 (5–10 cm) showed a very low concentration (10.7 fragments of spicules per 30 g), while concentrations were slightly higher in the lower levels BI2-BI4 (10–15 cm, 15–20 cm), with 83.3 and 92.5 fragments of spicules per 30 g, respectively (Fig. 5). Also, the high fragmentation of diatom valves and sponge spicules (Fig. 5), could constitute evidence of a high-energy turbulent event, compatible with a tsunami (Dawson et al. 1996; Sawai et al. 2002; Smith et al. 2004; Witter et al. 2009).

Conclusions

Cliff-top boulder fields are of great interest as evidence of the high-energy tsunamigenic events that repeatedly threaten the Pacific coast of South America. Therefore, the knowledge of these records plays a key role in the historical reconstruction of these catastrophic phenomena, their magnitude, and their consequences on coastal geomorphology. In this work, we studied a cliff-top boulder field associated with three sand lobes oriented towards land, which has been described and interpreted as a sedimentary deposit on a paleocliff originated by a tsunamigenic event in the geomorphological context of a hanging paleocoast. The sedimentary deposit in Bahia Inglesa is located on the margin of a marine terrace at a height + 30–40 m above another lower marine terrace that constituted the paleocoastal level at the time of the tsunamigenic event, which based on the previously known geomorphological context regarding the ages of these terraces, must have occurred between interglacial periods MIS 7 (ca. 210 ± 10 ky) and MIS5e (ca.125 ± 5 ky). The morphometry of the boulders suggests that they could not be transported by rolling, and the majority of Transport figure (TF) values calculated from boulder weight (~1.15 t) indicate that the energy required for the waves to move these blocks exceeds the established threshold to consider a tsunamigenic event (TF > 1000), consistently with the arrangement of the boulders on the margin of the paleocliff, both in relation to distance from the coastline (~112.78 m) and to orientation (~129°). Moreover, the distribution of the elongated sand lobes behind the field of boulders suggests a directionality from sea to land; the composition, with a high percentage of sand (90–95%) and low organic matter content (<0.2%), is consistent with a high-energy event; and the lower levels in depth (5–20 cm) and the stable carbon isotope signature indicates a marine origin of the organic matter. In addition, the siliceous biological remains, such as diatoms and spicules from marine sponges, constitute direct evidence of the marine origin of the sediment in sand lobes. The preservation of geochemical signs and biological remains in sand lobes of this paleotsunami deposit has been favoured by the extreme climatic aridity of the coast of the Atacama Desert. Therefore, tsunamis, as catastrophic events of very high energy, originate complex sedimentary deposits with a great heterogeneity and chaotic structure, whose correct identification can be very difficult and requires a multiple approach to rule out other possible origins.