Fieldwork focused on identifying and describing the stratigraphic, sedimentological, and physical features of the 1873 phreatic deposit in the north-western flank of the La Fossa cone, with additional investigations on the southern slopes. Stratigraphic logs were compiled at each site, correlating stratigraphies and collecting samples from the main stratigraphic units at the most complete outcrops. Samples were mechanically dry-sieved at half-phi intervals (phi=-log2(d/d0), where d is particle diameter in millimetres and d0 = 1 mm) for the fraction ≥ 250 µm. The fraction below 250 µm was analysed using the Malvern Morphologi G3 particle analyser instrument. Grain-size distributions were obtained combining data from both techniques, assuming constant density across different classes. Abundances of particles with diameters of 355 and 250 µm identified by the particle analyser were combined with the size bin immediately below (i.e. ϕ = 2.0–2.5 or 177–255 µm).
Isopach maps were compiled for the different stratigraphic units. Given the complex isopach shapes and lack of a regular thickness attenuation with distance, we estimated the volume of the deposit using the trapezoidal rule (Froggatt 1982; Fierstein and Nathenson 1991), avoiding thickness extrapolation with distance implied in other methods. The uncertain eruptive vent location and unknown deposit distribution in the proximity of the source (tens of meters) complicated isopach contour tracing. Consequently, our calculations might underestimate thickness in very proximal areas. Volume determination considers two different extensions of the zero isopach: one based on measured data and another assuming a larger affected area up to approximately 1 km from the La Fossa north-western crater rim.
To model the explosion and dispersal of the ejected products, the pre-1888 morphology of the La Fossa crater and cone were reconstructed from the 1868 topographic map of Vulcano Island. The historical map, obtained from the Italian Istituto Geografico Militare (IGM), was geo-referenced using a recent model (1 m of resolution) of Vulcano Island as a reference, aligning areas with similar morphology. Contour lines were digitised at 5 m intervals for the La Fossa crater and 10 m for the cone flanks, approximating the vertical accuracy of the map. The QGIS open-source software was used to extract contour lines and generate two interpolated Digital Elevation Models (DEMs) with a 1 m grid, which were then merged into a unified DEM with a 2 m grid using an appositely written Python script to minimise altitude differences in overlapping zones.
The “Breccia De Fiore” deposit
Stratigraphy
A complex stratified breccia and tuff deposit rich in hydrothermally altered clasts, was found in the north-western flank of the La Fossa cone (Fig. 3a). This deposit, named here Breccia De Fiore (BDF) after Prof. Ottorino De Fiore, who extensively documented the activity of La Fossa in the 1873–1888 period, is interbedded between the deposits of the Pietre Cotte eruptive sequence and the products of the last magmatic eruption of 1888–1890 (Fig. 3b).
Based on eyewitness accounts reporting vent opening in the northern sector of the La Fossa crater (Mercalli 1883), the duration of the activity (a total of 44 days), and field observations, we confidently attribute the BDF to the 1873 eruptive phase, the most intense phreatic crisis between 1873 and early August 1888. Because of their stratigraphic features, further phreatic deposits below the 1888–1890 Vulcanian phase cropping out in the south-eastern flank and south-western crater rim (Fig. 3a) were not correlated with those in the western and north-western side, and they were associated to different eruptive episodes.
The BDF is a very poorly sorted lapilli tuff or tuff breccia, with centimetric to pluri-decimetric thickness (45 cm on average), composed of lithics ranging from fine ash to coarse lapilli and minor blocks. Clasts are primarily fragments of old lavas and tuffs showing variable alteration (Fig. 3c). No clear juvenile material was recognised in all the samples, according to the phreatic nature of the deposit. Despite its complexity, the BDF exhibits distinguishable characteristics, such as sedimentological, grain size, and colour variations, allowing the identification of five layers generally separated by planar surfaces, denoted as layer A to layer E.
Layer A (3–30 cm) is a grey, matrix-supported, fine lapilli-bearing layer at the base of the BDF sequence (Figs. 4 and 5). It usually lays on an erosive surface cut on a brownish ash deposit at top of the Pietre Cotte cycle or on reworked deposits related to lahars or slope grain flows. The amount of ash ranges between 35 and 90 wt.%, with the highest values corresponding to the more lateral and distal outcrops (Table S1). It varies from massive, weakly reversely graded, poorly sorted (e.g., sections 1, 3, 15; Figs. 4a, e, and 5) to stratified, with alternations of well-sorted, reversely graded, fine lapilli beds and coarse to fine ash beds (Fig. 4b, g). In its uppermost portion, it is often characterised by a concentration of coarse lapilli (2–5 cm in diameter) and minor blocks with average diameter of 11–15 cm (Fig. 4a, f). Layer A coarsens at section 10, where a laterally discontinuous, openwork-textured bed of blocks and coarse lapilli is present at the top (Figs. 4d and 5). At outcrops in drainage channels close to the base of the cone (i.e., section 14), this layer is thickened by reworked material forming alternations of parallel-bedded ash and lapilli layers (Figs. 4c and 5). At the most distal sector, layer A grades into a weakly laminated thin level of grey to yellowish, coarse ash (Figs. 4h and 5).
Layer B (1–18 cm) is an ash rich, matrix-supported, laminated to stratified reddish to brownish bed (Table S1). It is formed by an alternation of well-sorted, fine to coarse ash up to fine lapilli beds (Fig. 4b and sections 8, 10 in Fig. 5). Locally, layer B shows weak laminations and reverse grading (Figs. 4a, e, f). It is absent in the most lateral sections (i.e., sections 4 and 9) and at the base of the cone (i.e., sections 5, 14, and 16; see Figs. 4c, g, h, and 5).
Layer C (2–35 cm) is grey, matrix-supported, and fine to coarse lapilli-bearing (Table S1), with an internal structure varying from massive to stratified (Fig. 4g, f). In most cases, stratification includes alternating levels of fine to coarse ash and fine to coarse lapilli. Coarse, lapilli-bearing lenses (e.g., section 1) and scattered clasts of 5–10 cm of diameter are locally present (Fig. 4f, g). At the foot of the north-western flank of the cone, this layer is represented by a 2-cm-thick massive bed of fine to coarse ash (Figs. 4h and 5). Layer C is absent in the easternmost outcrops (i.e., sections 10, 11).
Layer D (1–39 cm) is the most characteristic and coarsest bed of the sequence (Table S1). It is a yellow, clast- to locally matrix-supported layer composed of moderately-to-well-sorted, fine to coarse lapilli and scattered blocks. It is in all sections, except for the easternmost (section 10; Figs. 4d and 5). It is generally massive, with the exception of section 3 where it is organised in a clast-supported basal portion of moderately sorted, coarse lapilli, a central portion of fine to coarse lapilli with abundant ash, and a clast-supported, poorly sorted top portion composed of coarse to fine lapilli (Fig. 4e). It can also show reverse grading (Fig. 4b, e).
Layer E (3–18 cm) caps the whole BDF eruptive sequence in almost all outcrops (Figs. 4 and 5). It is a hardened, massive, matrix supported, grey to pinkish layer composed of fine to coarse lapilli and rare blocks in a vesicular, fine, cohesive ash matrix. The matrix content tends to increase moving down to the base of the cone. Vesicles are mostly concentrated in the matrix at the base of the layer.
Contrary to layers A, B, C, and D, which are thicker in the north-western sector of the cone and can show lateral thinning at the scale of the outcrop (Fig. 4), thickness of layer E is higher in proximal (i.e., sections 1, 3, 12) and distal (i.e., sections 14 and 15) zones compared to the central outcrops (see sections 5 and 8 in Fig. 5).
Sample grain-size and Total Grain Size Distribution (TGSD)
Eight sections located in the western (i.e., 1, 2, 3, 4), eastern (i.e., 10), central (i.e., 15) and distal (i.e., 14, 16) sectors of the BDF deposit were selected to investigate grain-size variations. Grain-size data and statistical parameters are listed in Table S1. Samples generally show multi-modal grain-size distributions that can be deconvoluted in 2 to 4 normal subpopulations (SP-A to SP-D, Table S2) of variable weight in each sample. The mean values of these subpopulations cluster into 4 groups and, on this basis, average mean (µ) and sorting (σ) values for each of the 4 subpopulations can be defined: SP-A, µ = -3.7 φ and σ = 0.7; SP-B, µ = -1.6 φ and σ = 1.1; SP-C, µ = 0.9 φ and σ = 0.14; SP-D, µ = 5.5 φ and σ = 1.0.
The coarsest products are usually associated with layers A and D, often presenting a very abundant mode (up to 25–30 wt.%) in the coarse lapilli fraction. Grain size distributions of layers C and E are generally mostly centred on the fine lapilli to coarse ash fractions. Layer B represents the finest grained bed, with an important presence of medium to fine ash.
In terms of SPs, the coarsest SP-A is never present in layer B samples, the latter being dominated by SP-C (around 70 wt.% of the total). Contribution of SP-A is instead important for A and D layers (on average 20 wt.% and 35 wt.%, respectively, for all the samples, except for the most distal ones), while values generally lower than 17 wt.% characterise layers C and E. The finer grained SP-D is always present in all the layers, although in a very low amount (generally lower than 5 wt.%).
Given the good areal coverage of the analysed samples, grain-size data from all the stratigraphic sections and layers were weighted by the relative thickness of each layer to estimate a total grain size distribution (TGSD) for the whole deposit. TGSD was estimated both directly averaging weighted grain size distributions of each sample or their deconvolution into the 4 normal subpopulations listed above (Table 1). Figure 6a shows a bimodal TGSD, with peaks at ∼-4 and 1 ϕ and a clear negligible contribution of fine ash.
Table 1
TGSD of the BDF deposit. Data derived from the weighted sum (based on relative thickness) of the grain size distribution of each sample (left) and from the weighted contributions of each normal sub-population (right)
Phi | Wt.% | | SP | Mean | Sorting | % of the total |
-6 | 0.00 | | A | -3.7 | 0.7 | 17.8 |
-5 | 2.39 | | B | -1.6 | 1.1 | 21.0 |
-4 | 9.24 | | C | 0.9 | 1.4 | 59.9 |
-3 | 12.13 | | D | 5.5 | 1.0 | 1.3 |
-2 | 10.38 | | | | | |
-1 | 13.21 | | | | | |
0 | 16.46 | | | | | |
1 | 15.10 | | | | | |
2 | 10.57 | | | | | |
3 | 5.92 | | | | | |
4 | 1.98 | | | | | |
5 | 1.32 | | | | | |
6 | 0.76 | | | | | |
7 | 0.38 | | | | | |
8 | 0.14 | | | | | |
9 | 0.02 | | | | | |
10 | 0.00 | | | | | |
Physical and numerical modelling
Field evidence suggest that the BDF was emplaced through PDCs and ballistic fallout (see the Discussion section). Our numerical modelling is aimed at assessing whether a small volume (i.e., < ∼105 m3), shallow phreatic explosion could produce PDCs and ballistic fallout matching field observations. We also investigate the role of vent geometry and initial pressure and temperature conditions on the eruptive cloud and product distribution.
We simulate an explosion of magnitude in the estimated range for either the total BDF deposit or a single layer. We assume a scenario involving gas accumulation and overpressure build-up at shallow depths beneath the La Fossa crater, exceeding the tensile strength of rocks (Browne and Lawless 2001; Stix and De Moor 2018), followed by explosive decompression of a mixture of gases and fragmented material in the atmosphere.
The simulations use the transient, three-dimensional, multiphase flow model OpenPDAC (see S4 for model; Neri et al. 2003; Esposti Ongaro et al. 2012), describing the explosion dynamics of a gas and fine particles mixture (Eulerian-Eulerian description) one-way coupled with coarser ballistic particles (Lagrangian model; de’ Michieli Vitturi et al. 2010). The model simulates the sudden decompression of high-temperature, high-pressure fluids (water vapour) and fragmented rocks, resulting in a multiphase mixture ejected into the atmosphere.
Initial conditions for simulations
We explore a range of initial conditions (e.g., erupted volume/mass, explosive energy, temperature, pressure) to reproduce some of the main observed deposit feature. To set initial and boundary conditions, we identified a set of observables constrained by field and volcanological data to define the eruptive scenarios. We imposed geometric boundary conditions (crater and volcano morphology), total ejected solid mass, pressure of the water vapour, and temperature of the erupted material. We also defined parameters for the physical properties of the eruptive mixture, including gas composition and particle size and density. Input parameters for eruption scenarios are summarized in Table 3.
Table 3
Input parameters and results of numerical modelling. ID: simulation number; R/D: vent radius and diameter; V, M: ejected volume and mass of particles (considering particle density of 2000 kg/m3); ɑp: fine particle volume fraction within the eruptive vent; P, T initial pressure and temperature of the gas-particle mixture in the vent; dp: fine particle diameter; E, Em: total explosive energy and specific energy (considering a bulk density of 600 kg/m3); F, Cr, Co: percentage of fine particles within PDCs, the La Fossa crater, and the eruptive column, respectively.
ID | R/D | i, d | V [m3] | M [kg] | αp | P [MPa] | T [°C] | dp [mm] | E [×1011J] | Em [kJ/kg] | F [%] | Cr [%] | Co [%] |
1 | 20/100 | 0° | 2.5×104 | 5×107 | 0.3 | 5 | 250 | 1 | 5.8 | 12 | 21 | 31 | 48 |
2 | 20/100 | 21°, W | 2.5×104 | 5×107 | 0.3 | 5 | 250 | 1 | 5.8 | 12 | 22 | 22 | 56 |
3 | 20/100 | 21°, NW | 2.5×104 | 5×107 | 0.3 | 5 | 250 | 1 | 5.8 | 12 | 17 | 12 | 71 |
4 | 15/150 | 21°, W | 2.1×104 | 4.2×107 | 0.3 | 5 | 250 | 1 | 5.8 | 12 | 20 | 40 | 40 |
5 | 20/100 | 21°, W | 2.5×104 | 5×107 | 0.3 | 7 | 250 | 1 | 8.5 | 17 | 7 | 17 | 76 |
6 | 20/100 | 21°, W | 2.5×104 | 5×107 | 0.3 | 3 | 250 | 1 | 3.2 | 6 | 53 | 35 | 12 |
7 | 20/100 | 21°, W | 5×104 | 1×108 | 0.6 | 5 | 250 | 1 | 3.3 | 3 | 38 | 60 | 2 |
8 | 20/100 | 21°, W | 2.5×104 | 5×107 | 0.3 | 5 | 400 | 1 | 5.8 | 12 | 9 | 8 | 83 |
9 | 20/100 | 21°, W | 2.5×104 | 5×107 | 0.3 | 5 | 250 | 0.177 | 5.8 | 12 | 35 | 6 | 59 |
10 | 10/100 | 0° | 6.3×103 | 1.3×107 | 0.3 | 5 | 250 | 1 | 1.5 | 12 | 6 | 18 | 76 |
11 | 10/100 | 21°, W | 6.2×103 | 1.2×107 | 0.3 | 5 | 250 | 1 | 1.5 | 12 | 11 | 13 | 75 |
12 | 10/100 | 21°, NW | 6.3×103 | 1.3×107 | 0.3 | 5 | 250 | 1 | 1.5 | 12 | 18 | 10 | 72 |
13 | 10/100 | 21°, W | 1.3×104 | 2.5×107 | 0.6 | 5 | 250 | 1 | 0.83 | 3 | 47 | 52 | 1 |
Pre-eruption topography, vent position and geometry were based on available historical data and field evidence. The 1888–1890 eruption significantly modified the La Fossa cone topography and the crater area (Fig. 7), which was filled by approximately one-third (Mercalli and Silvestri 1891; De Fiore 1922). To simulate an eruption in a topographic setting like that before 1888, we used a reconstructed DEM from the digitisation of the 1868 contour line map of Vulcano Island (see Materials and Methods section). Given the absence of any residual structure related to the phreatic vents formed in 1873 and according to the descriptions of Mercalli (1883), we positioned the explosion vent inside the La Fossa crater, near the northern crater wall. This vent was modelled as a prolate hemispheroid shape with specific radius (semi minor axis) and depth (semimajor axis). Historical descriptions (Mercalli 1883) suggest the explosion vents possibly measured up to 20 meters in diameter. However, to accommodate a predetermined volume of particle and gas, we assumed vent diameters ranging from 20 to 40 m, with depths of 100 to 150 meters. In some scenarios, the geometry of the source area was inclined at a 21° angle with respect to the vertical axis by translating horizontally the base of the hemispheroid.
Erupted solid mass was constrained by field data (see Isopach maps and volume estimation section), thus all our eruption scenarios fall below the maximum value of hypothesized erupted mass (i.e., 8×107 kg).
The initial temperature of the gas-particle mixture was set at 250°C as minimum value, based on stable mean values recorded at the fumaroles at the summit of La Fossa before the 2021 unrest (Diliberto 2021). Although higher values cannot be excluded, we considered a maximum initial value of 400°C, in the range of the peak temperature registered throughout the 2021–2023 crisis (Federico et al. 2023).
We assumed homogeneous pressure within the eruptive vent, exploring a range of 3–7 MPa (Table 3) based on lithostatic pressure and rock fragmentation thresholds. At a depth of 100 to 150 m below the La Fossa crater, the lithostatic pressure ranges between 1.9 and 2.9 MPa (considering an average rock density of 2000 kg/m3). The initial pressure in the vent must be higher than these values. Typical fragmentation thresholds (Spieler et al. 2004; Scheu et al. 2006; Koyaguchi et al. 2008; Mayer et al. 2016) are between 2 and 5 MPa (e.g., Mayer et al. 2015, 2016; Montanaro et al. 2016). Because we do not model fragmentation and the energy spent in fragmentation is typically in the order of 10–15% of the total energy (Montanaro et al. 2016), we assumed that the initial overpressure is of the same order of magnitude of the rock fragmentation threshold.
The total explosive energy (E), expressed in Joules, was calculated using an ideal gas model, considering adiabatic and reversible expansion of water vapour (Montanaro et al. 2016):
$$E=\left[\frac{{P}_{0}\times {V}_{wv}}{\gamma -1}\right]\times \left[1-{\left(\frac{{P}_{atm}}{{P}_{0}}\right)}^{\frac{\gamma -1}{\gamma }}\right]$$
where P0 represents the initial pressure (Pa) within the vent prior to the explosion, Vwv is the initial volume of water vapour (m3) in the vent, Patm is the atmospheric pressure (Pa), and γ is the ratio of specific heats (i.e., about 1.3 for water vapour). From the average density per unit volume (J/m3), the initial particle volume fraction, and fine particles average density (2000 kg/m3) we calculate the average specific energy (energy per unit of mass) available in the explosion in the range 3–17 J/kg (Table 3).
The initial porosity of the host rocks determines the volume fraction of gas in the explosion vent, thus it defines the specific energy available in the explosion (Montanaro et al. 2016). To account for this factor, we set a fixed volume fraction of gas, and consequently of particles, within the eruptive vent. However, this value does not directly correlate with the actual initial porosity of source rocks, as it represents, in our simulations, the amount of gas and hence the energy available for expansion after fragmentation (fragmentation energy is not considered in the calculation). As initial conditions, we either assumed a porosity of 40%, based on studies on rocks involved in phreatic/hydrothermal explosions (Mayer et al. 2015, 2016), and a higher porosity of 70% considered as the porosity after fragmentation and just before the initial expansion.
To simplify the numerical computation and focus on the large-scale eruptive dynamics, we have used the two-phase (i.e., gas plus monodispersed solid particles) version of the Eulerian-Eulerian flow model, which requires the use of a single, hydraulically equivalent grain size and density (Carcano et al., 2014). This can be computed as the first-order moment of the TGSD. According to TGSD calculations (refer to Sample grain-size and Total Grain Size Distribution section) we chose a single class of 1 mm in diameter and 2000 kg/m3 of density as the fine material composing the erupted mixture. Future studies will address this modelling aspect more specifically.
Modelling results
Simulations describe the generation and propagation of an eruptive mixture of water vapour, ash (1 mm in diameter), and coarser particles or ballistics (5, 10, and 20 cm in diameter) over time in three-dimensional space. Three main stages are identified: i) an initial decompression phase (5 to 7.5 s) involving the expansion of the eruptive mixture and acceleration of ballistics; ii) a column formation phase where the gas-ash mixture is driven vertically by buoyancy and coarser particles follow quasi-ballistic trajectories; and iii) a column collapse and PDCs propagation phase.
Run 1 is our first-guess scenario, with a vertical vent of 20 m radius and 100 m depth, hosting a total solid mass of 5×107 kg at 250°C and 5 MPa, resulting in a specific energy of 12 kJ/kg (Table 3). In the initial phase (∼5 s), the gas particle-mixture expands up to 550 m above the vent at 191 m/s (average between particle and gas velocity; Fig. 8a), driven by gas decompression. Ballistics are ejected at maximum angle of about 55° (with respect to the vertical axis) and accelerated to 140 m/s by the gas-particle drag force (de’ Michieli Vitturi et al., 2010; Fig. 8a). After this phase, convection drives the mixture upwards, mixing with the surrounding atmosphere. In the north-east side, this mixture expands (see Carcano et al. 2014) forming a PDC climbing over the crater rim (Fig. 8b) but remaining confined within the outer C-PC crater rim (Fig. 9a). At 20 s, the mixture starts partially collapsing from 1.1 km asl (Fig. 8c), generating two PDCs, one east-directed and a smaller one travelling northward (Fig. 8d) and reaching 700 m of distance after 60 s. The remaining part of the mixture reaches 1.8 km asl (i.e., the maximum vertical size of the domain).
Ballistics reach a maximum height of 850 m above the vent and decouple from the mixture at about 13 s. By 30 s, nearly all of them have landed, largely preceding the PDCs phase. They distribute radially around the eruptive vent, up to 700 m of distance (Fig. 10a). It is important to remark that the number of ballistics on the ground is not representative of the real number observed on the field, as this number results from the combination of the defined vent size and an assumed number density of ballistics within the vent.
We evaluated about 48% of the erupted mass going into convection, 21% feeding PDCs, and 31% settling into the La Fossa crater (for method see S5).
Using a westward-inclined vent (21° to the vertical axis, azimuth 270°) with the same initial conditions as Run 1 (i.e., Run 2 in Table 3), produces similar maximum height and velocity of both the ejected mixture and ballistics (Fig. 8e), but the material distribution changes, affecting the western and north-western flanks of the cone (Figs. 8e–h, 9c, d and 10b). The expansion phase (∼5 s) produces a PDC overcoming the north-western flank of the cone, propagating at 15–25 m/s, keeping a temperature of up to 220°C along the propagation axis, and of 150°C on the flow edges. The eruptive column develops vertically, not significantly influenced by vent inclination (Fig. 8f). It partially collapses at 20 s (Fig. 8g) forming a second PDC impacting the western flank, partially overlapping the first flow (Fig. 8h). By 60 s, the flow runout extends to 1 km from the eruptive vent (or 700 m from the north-western rim of the La Fossa crater).
Ballistics reach a maximum height of ∼850 m above the vent following more directional trajectories, likely due to the complex decompression dynamics and the effect of the non-isotropic crater geometry. This results in an asymmetrical ground distribution: up to 900 m in the W-E direction and 700 m in the N-S (Fig. 10b). The timing of the ballistic landing and the invasion of the first PDC is similar, with the PDC at times preceding the ballistic shower (as observed in the deposit), particularly near the crater rims.
By the end of Run 2, 22% of the total erupted mass is conveyed into PDCs, 56% into convection, while 22% settles within the La Fossa crater (Fig. 11, Table 3).
Since the areal dispersion of the erupted material in the westward-inclined vent scenario (i.e. Run 2) more closely agrees with the observed distribution of the BDF compared to the vertical vent scenario (i.e. Run 1), Run 2 was used as a reference to examine the influence of different vent geometries, initial and boundary conditions, and erupted volumes. A vent inclined to the northwest (21° to the vertical, azimuth 315°; Run 3 in Table 3), produces a faster PDC directed to the north-western flank of the cone (Fig. 9e, f). The partial collapse of the column generates a second PDC confined to the north, on the Pietre Cotte lava flow (Fig. 9f). The ground distribution of ballistics is asymmetrical, elongated in a NW-SE direction according to the direction of vent inclination (Fig. 10c). The percentage of collapse is significantly lower compared to Run 2, with 71% of the mass going into convection, only 17% into PDCs, and 12% settling within the La Fossa crater (Table 3).
A different vent aspect ratio (15 m radius, 150 m depth; Run 4, Table 3) does not significantly vary PDCs and ballistics distribution with respect to Run 2. However, it affects the expansion stage (Figs. 9g, h and 10d) increasing the decompression time to ∼7.5 s and lowering the maximum mixture velocity to 180 m/s. Consequently, the percentage of collapse is higher, with 40% of the mass going into convection, 20% feeding PDCs, and 40% falling back into the La Fossa crater (Table 3).
In Runs 5 and 6, we investigated the effects of different initial pressures because pressure is one of the main parameters controlling the total energy available in the expansion process, therefore the mixture and ballistic behaviour. A higher initial pressure of 7 MPa (Run 5, Table 3) increases the mixture expansion velocity up to 230 m/s, ejection velocity of ballistics to 180 m/s and their maximum height to 1.2 km. The specific energy increases to 17 kJ/kg, significantly reducing the percentage of collapse (7% of the material in PDCs, 17% into the crater, 76% into convection; Table 3, Fig. 11c). The affected area is wider compared to Run 2 (Fig. 10e). Conversely, a lower pressure of 3 MPa (Run 6) reduces the specific energy to 6 kJ/kg, lowering the exit velocity of the mixture (140 m/s), ballistics ejection velocity (100 m/s) and maximum height (550 m above the vent). The percentage of collapse significantly increases to 83% (53% of the material in PDCs, 35% settled within the La Fossa crater, 12% into convection; Table 3, Fig. 11b).
The results described above refer to an initial gas volume fraction of 70%. An initial gas volume fraction of 40% (i.e., Run 7, Table 3) results in almost total column collapse (98%; Fig. 11d) due to the reduced amount of gas available for expansion. The specific energy drops to 3 kJ/kg (Table 3), with reduced mixture expansion velocity (120 m/s), ballistic ejection velocity (94 m/s), and ballistic maximum height (400 m above the vent). Most of the ejected mixture collapses around the vent area (60% of the material settling within the La Fossa crater), and a single PDC carrying 38% of mass affects the north-western and western flanks of the cone. Only 2% of mass goes into convection (Table 3, Fig. 11d).
Increasing the initial temperature of the gas-particle mixture to 400°C (Run 8 in Table 3) does not significantly vary the expansion energy, therefore, the jet and initial PDC dynamics are very similar to Run 2. However, column buoyancy increases, reducing the collapse percentage (9% of the material in PDCs, 8% settling within the La Fossa crater, and 83% in convection; Table 3).
A smaller average grain size of 0.177 mm (Run 9 inTable 3) extends the decompression phase to 6 s, increasing the mixture expansion velocity to 200 m/s and ballistics ejection velocity to 160 m/s. The percentage of collapse is higher than Run 2, with 35% of the mass forming PDCs, 6% settling within the La Fossa crater, and 59% in the convective column (Table 3).
Runs 10–13 involve erupted masses not exceeding the values estimated for single layers of the BDF (Table 3). Runs 10 and 11 test respectively vertical and westward-inclined vents (both 10 m in radius and 100 m deep) under the same initial conditions as Run 2, resulting in a specific energy of 12 kJ/kg. Both scenarios produce similar mixture expansion (180 m/s) and ballistic ejection (130 m/s) velocities. They also generate a single main PDC that, for the vertical vent scenario (Run 10), is confined to the northern and north-eastern flanks of the cone (Figs. 8i–l and 9i, j), while the westward-inclined vent (Run 11) directs it northwest. In the latter case, part of the flow is initially confined between the La Fossa Modern and PC-C crater rims, then splits into two lobes, one flowing above the Pietre Cotte lava and the other to its west (Figs. 8m-p and 9k, l). Ballistics are asymmetrically distributed on the ground: up to 800 m to the north-west and 500 m to the south. Some of them land simultaneously with the passage of the flow. The percentage of collapse is lower compared to Run 2, with 11% of the material feeding PDCs, 13% settling within the La Fossa crater, and 75% forming the eruptive column (Run 11, Table 3; Fig. 11e).
Run 12, with a northwest-inclined vent, confines the PDC to the northern and north-western flanks of the cone (Fig. 9m, n), elongating the ballistic ground distribution in the NW direction (Fig. 10k). The exit velocity of the mixture and maximum column and ballistic height reduce compared to Run 11, resulting in a slightly higher percentage of collapse (17% of the material in the PDCs, 10% within the La Fossa crater, and 73% into convection; Table 3, Fig. 11g).
Finally, run 13, with a lower initial gas fraction of 40% (Table 3), results in nearly total collapse (99%; Table 3, Fig. 11h), impacting the north-western to south-western flanks. Ballistics are confined to the La Fossa crater rims, with many falling within the La Fossa crater (Fig. 10l).
In summary, eruption dynamics are influenced mainly by erupted mass, explosion energy, and vent geometry. Higher initial pressure increases the mixture ejection velocity and ballistic range, decreasing collapse percentage. Ballistic landing time is around 30 s but reduces with less erupted mass and lower initial volume fraction of gas. Using non-spherical ballistic shapes does not significantly change the landing time, but varies the ground distribution, resulting in shorter distances from the vent due to the larger drag coefficients. Coarse ballistics (20 cm) reach longer distances than finer clasts (5, 10 cm), due to stronger inertia of coarser blocks, allowing to reach greater distances from the eruptive vent. Vent inclination strongly controls ballistic distribution and PDC propagation. Initial temperature has a smaller impact, mainly enhancing mixture buoyancy and reducing collapse percentage.