Articles | Volume 15, issue 4
https://doi.org/10.5194/se-15-437-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/se-15-437-2024
© Author(s) 2024. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Research article
| 
03 Apr 2024
Research article |
| 03 Apr 2024
| 03 Apr 2024
Lahar events in the last 2000 years from Vesuvius eruptions – Part 2: Formulation and validation of a computational model based on a shallow layer approach
Mattia de' Michieli Vitturi
CORRESPONDING AUTHOR
Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Pisa, Pisa, 56125, Italy
Antonio Costa
Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Bologna, Bologna, 40128, Italy
Mauro A. Di Vito
Istituto Nazionale di Geofisica e Vulcanologia, Osservatorio Vesuviano, Naples, 80124, Italy
Laura Sandri
Istituto Nazionale di Geofisica e Vulcanologia, Sezione di Bologna, Bologna, 40128, Italy
Domenico M. Doronzo
Istituto Nazionale di Geofisica e Vulcanologia, Osservatorio Vesuviano, Naples, 80124, Italy
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Laura Sandri, Mattia de' Michieli Vitturi, Antonio Costa, Mauro Antonio Di Vito, Ilaria Rucco, Domenico Maria Doronzo, Marina Bisson, Roberto Gianardi, Sandro de Vita, and Roberto Sulpizio
Solid Earth, 15, 459–476, https://doi.org/10.5194/se-15-459-2024, https://doi.org/10.5194/se-15-459-2024, 2024
Short summary
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We study the lahar hazard due to the remobilization of tephra deposits from reference eruptions at Somma–Vesuvius. To this end, we rely on the results of two companion papers dealing with field data and model calibration and run hundreds of simulations from the catchments around the target area to capture the uncertainty in the initial parameters. We process the simulations to draw maps of the probability of overcoming thresholds in lahar flow thickness and dynamic pressure relevant for risk.
Mauro Antonio Di Vito, Ilaria Rucco, Sandro de Vita, Domenico Maria Doronzo, Marina Bisson, Mattia de' Michieli Vitturi, Mauro Rosi, Laura Sandri, Giovanni Zanchetta, Elena Zanella, and Antonio Costa
Solid Earth, 15, 405–436, https://doi.org/10.5194/se-15-405-2024, https://doi.org/10.5194/se-15-405-2024, 2024
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We study the distribution of two historical pyroclastic fall–flow and lahar deposits from the sub-Plinian Vesuvius eruptions of 472 CE Pollena and 1631. The motivation comes directly from the widely distributed impact that both the eruptions and lahar phenomena had on the Campanian territory, not only around the volcano but also down the nearby Apennine valleys. Data on about 500 stratigraphic sections and modeling allowed us to evaluate the physical and dynamical impact of these phenomena.
Mattia de' Michieli Vitturi, Tomaso Esposti Ongaro, and Samantha Engwell
Geosci. Model Dev., 16, 6309–6336, https://doi.org/10.5194/gmd-16-6309-2023, https://doi.org/10.5194/gmd-16-6309-2023, 2023
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We present version 2 of the numerical code IMEX-SfloW2D. With this version it is possible to simulate a wide range of volcanic mass flows (pyroclastic avalanches, lahars, pyroclastic surges), and here we present its application to transient dilute pyroclastic density currents (PDCs). A simulation of the 1883 Krakatau eruption demonstrates the capability of the numerical model to face a complex natural case involving the propagation of PDCs over the sea surface and across topographic obstacles.
Gro B. M. Pedersen, Melissa A. Pfeffer, Sara Barsotti, Simone Tarquini, Mattia de'Michieli Vitturi, Bergrún A. Óladóttir, and Ragnar Heiðar Þrastarson
Nat. Hazards Earth Syst. Sci., 23, 3147–3168, https://doi.org/10.5194/nhess-23-3147-2023, https://doi.org/10.5194/nhess-23-3147-2023, 2023
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The lava eruption at Fagradalsfjall in 2021 was the most visited eruption in Iceland, with thousands of visitors per day for 6 months. To address the short- and long-term danger of lava inundating infrastructure and hiking paths, we used the lava flow model MrLavaLoba before and during the eruption. These simulations helped communicate lava hazards to stakeholders and can be used as a case study for lava hazard assessment for future eruptions in the area, which are likely to be more destructive.
Mattia de' Michieli Vitturi and Federica Pardini
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Here, we present PLUME-MoM-TSM, a volcanic plume model that allows us to quantify the formation of aggregates during the rise of the plume, model the phase change of water, and include the possibility to simulate the initial spreading of the tephra umbrella cloud intruding from the volcanic column into the atmosphere. The model is first applied to the 2015 Calbuco eruption (Chile) and provides an analytical relationship between the upwind spreading and some characteristic of the volcanic column.
Alessandro Tadini, Andrea Bevilacqua, Augusto Neri, Raffaello Cioni, Giovanni Biagioli, Mattia de'Michieli Vitturi, and Tomaso Esposti Ongaro
Solid Earth, 12, 119–139, https://doi.org/10.5194/se-12-119-2021, https://doi.org/10.5194/se-12-119-2021, 2021
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In this paper we test a simplified numerical model for pyroclastic density currents or PDCs (mixtures of hot gas, lapilli and ash moving across the landscape under the effect of gravity). The aim is quantifying the differences between real and modelled deposits of some PDCs of the 79 CE eruption of Vesuvius, Italy. This step is important because in the paper it is demonstrated that this simplified model is useful for constraining input parameters for more computationally expensive models.
Sara Lenzi, Matteo Cerminara, Mattia de' Michieli Vitturi, Tomaso Esposti Ongaro, and Antonello Provenzale
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2020-28, https://doi.org/10.5194/gmd-2020-28, 2020
Revised manuscript not accepted
Mattia de' Michieli Vitturi, Tomaso Esposti Ongaro, Giacomo Lari, and Alvaro Aravena
Geosci. Model Dev., 12, 581–595, https://doi.org/10.5194/gmd-12-581-2019, https://doi.org/10.5194/gmd-12-581-2019, 2019
Short summary
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Pyroclastic avalanches are a type of granular flow generated at active volcanoes by different mechanisms, including the collapse of steep pyroclastic deposits (e.g., scoria and ash cones) and fountaining during moderately explosive eruptions. We present IMEX_SfloW2D, a depth-averaged flow model describing the granular mixture as a single-phase granular fluid. Benchmark cases and preliminary application to the simulation of the 11 February pyroclastic avalanche at Mt. Etna (Italy) are shown.
M. de' Michieli Vitturi, A. Neri, and S. Barsotti
Geosci. Model Dev., 8, 2447–2463, https://doi.org/10.5194/gmd-8-2447-2015, https://doi.org/10.5194/gmd-8-2447-2015, 2015
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In this paper a new mathematical model of volcanic plume, named Plume-MoM, is presented. The model is based on the method of moments and it is able to describe the continuous variability in the grain size distribution (GSD) of the pyroclastic mixture ejected at the vent, crucial to characterize the source conditions of ash dispersal models. Results show that the GSD at the top of the plume is similar to that at the base and that plume height is weakly affected by the parameters of the GSD.
Laura Sandri, Mattia de' Michieli Vitturi, Antonio Costa, Mauro Antonio Di Vito, Ilaria Rucco, Domenico Maria Doronzo, Marina Bisson, Roberto Gianardi, Sandro de Vita, and Roberto Sulpizio
Solid Earth, 15, 459–476, https://doi.org/10.5194/se-15-459-2024, https://doi.org/10.5194/se-15-459-2024, 2024
Short summary
Short summary
We study the lahar hazard due to the remobilization of tephra deposits from reference eruptions at Somma–Vesuvius. To this end, we rely on the results of two companion papers dealing with field data and model calibration and run hundreds of simulations from the catchments around the target area to capture the uncertainty in the initial parameters. We process the simulations to draw maps of the probability of overcoming thresholds in lahar flow thickness and dynamic pressure relevant for risk.
Mauro Antonio Di Vito, Ilaria Rucco, Sandro de Vita, Domenico Maria Doronzo, Marina Bisson, Mattia de' Michieli Vitturi, Mauro Rosi, Laura Sandri, Giovanni Zanchetta, Elena Zanella, and Antonio Costa
Solid Earth, 15, 405–436, https://doi.org/10.5194/se-15-405-2024, https://doi.org/10.5194/se-15-405-2024, 2024
Short summary
Short summary
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We present version 2 of the numerical code IMEX-SfloW2D. With this version it is possible to simulate a wide range of volcanic mass flows (pyroclastic avalanches, lahars, pyroclastic surges), and here we present its application to transient dilute pyroclastic density currents (PDCs). A simulation of the 1883 Krakatau eruption demonstrates the capability of the numerical model to face a complex natural case involving the propagation of PDCs over the sea surface and across topographic obstacles.
Gro B. M. Pedersen, Melissa A. Pfeffer, Sara Barsotti, Simone Tarquini, Mattia de'Michieli Vitturi, Bergrún A. Óladóttir, and Ragnar Heiðar Þrastarson
Nat. Hazards Earth Syst. Sci., 23, 3147–3168, https://doi.org/10.5194/nhess-23-3147-2023, https://doi.org/10.5194/nhess-23-3147-2023, 2023
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Geosci. Model Dev., 16, 3459–3478, https://doi.org/10.5194/gmd-16-3459-2023, https://doi.org/10.5194/gmd-16-3459-2023, 2023
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Two novel techniques for ensemble-based data assimilation, suitable for semi-positive-definite variables with highly skewed uncertainty distributions such as tephra deposit mass loading, are applied to reconstruct the tephra fallout deposit resulting from the 2015 Calbuco eruption in Chile. The deposit spatial distribution and the ashfall volume according to the analyses are in good agreement with estimations based on field measurements and isopach maps reported in previous studies.
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Nat. Hazards Earth Syst. Sci., 23, 2289–2311, https://doi.org/10.5194/nhess-23-2289-2023, https://doi.org/10.5194/nhess-23-2289-2023, 2023
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A new methodology to calculate a probabilistic long-term tephra fallout hazard assessment in southern Italy from the Neapolitan volcanoes is provided. By means of thousands of numerical simulations we quantify the mean annual frequency with which the tephra load at the ground exceeds critical thresholds in 50 years. The output hazard maps account for changes in eruptive regimes of each volcano and are also comparable with those of other natural disasters in which more sources are integrated.
Andrea Bevilacqua, Alvaro Aravena, Willy Aspinall, Antonio Costa, Sue Mahony, Augusto Neri, Stephen Sparks, and Brittain Hill
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Manuel Titos, Beatriz Martínez Montesinos, Sara Barsotti, Laura Sandri, Arnau Folch, Leonardo Mingari, Giovanni Macedonio, and Antonio Costa
Nat. Hazards Earth Syst. Sci., 22, 139–163, https://doi.org/10.5194/nhess-22-139-2022, https://doi.org/10.5194/nhess-22-139-2022, 2022
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This work addresses a quantitative hazard assessment on the possible impact on air traffic of a future ash-forming eruption on the island of Jan Mayen. Through high-performance computing resources, we numerically simulate the transport of ash clouds and ash concentration at different flight levels over an area covering Iceland and the UK using the FALL3D model. This approach allows us to derive a set of probability maps explaining the extent and persisting concentration conditions of ash clouds.
Mattia de' Michieli Vitturi and Federica Pardini
Geosci. Model Dev., 14, 1345–1377, https://doi.org/10.5194/gmd-14-1345-2021, https://doi.org/10.5194/gmd-14-1345-2021, 2021
Short summary
Short summary
Here, we present PLUME-MoM-TSM, a volcanic plume model that allows us to quantify the formation of aggregates during the rise of the plume, model the phase change of water, and include the possibility to simulate the initial spreading of the tephra umbrella cloud intruding from the volcanic column into the atmosphere. The model is first applied to the 2015 Calbuco eruption (Chile) and provides an analytical relationship between the upwind spreading and some characteristic of the volcanic column.
Andrew T. Prata, Leonardo Mingari, Arnau Folch, Giovanni Macedonio, and Antonio Costa
Geosci. Model Dev., 14, 409–436, https://doi.org/10.5194/gmd-14-409-2021, https://doi.org/10.5194/gmd-14-409-2021, 2021
Short summary
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This paper presents FALL3D-8.0, the latest version release of an open-source code with a track record of 15+ years and a growing number of users in the volcanological and atmospheric communities. The code, originally conceived for atmospheric dispersal and deposition of tephra particles, has been extended to model other types of particles, aerosols and radionuclides. This paper details new model applications and validation of FALL3D-8.0 using satellite, ground-deposit load and radionuclide data.
Alessandro Tadini, Andrea Bevilacqua, Augusto Neri, Raffaello Cioni, Giovanni Biagioli, Mattia de'Michieli Vitturi, and Tomaso Esposti Ongaro
Solid Earth, 12, 119–139, https://doi.org/10.5194/se-12-119-2021, https://doi.org/10.5194/se-12-119-2021, 2021
Short summary
Short summary
In this paper we test a simplified numerical model for pyroclastic density currents or PDCs (mixtures of hot gas, lapilli and ash moving across the landscape under the effect of gravity). The aim is quantifying the differences between real and modelled deposits of some PDCs of the 79 CE eruption of Vesuvius, Italy. This step is important because in the paper it is demonstrated that this simplified model is useful for constraining input parameters for more computationally expensive models.
Silvia Massaro, Roberto Sulpizio, Gianluca Norini, Gianluca Groppelli, Antonio Costa, Lucia Capra, Giacomo Lo Zupone, Michele Porfido, and Andrea Gabrieli
Solid Earth, 11, 2515–2533, https://doi.org/10.5194/se-11-2515-2020, https://doi.org/10.5194/se-11-2515-2020, 2020
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In this work we provide a 2D finite-element modelling of the stress field conditions around the Fuego de Colima volcano (Mexico) in order to test the response of the commercial Linear Static Analysis software to increasingly different geological constraints. Results suggest that an appropriate set of geological and geophysical data improves the mesh generation procedures and the degree of accuracy of numerical outputs, aimed at more reliable physics-based representations of the natural system.
Lucia Nardone, Roberta Esposito, Danilo Galluzzo, Simona Petrosino, Paola Cusano, Mario La Rocca, Mauro Antonio Di Vito, and Francesca Bianco
Adv. Geosci., 52, 75–85, https://doi.org/10.5194/adgeo-52-75-2020, https://doi.org/10.5194/adgeo-52-75-2020, 2020
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We studied the subsoil structure of the Campi Flegrei area using both spectral ratios and array techniques (f-k and MSPAC) applied to seismic noise recorded by three different array. By means of joint inversion of dispersion curve and spectral ratio we obtained a Vs model, that is in a good agreement with the stratigraphic information available in the area. In areas such as Campi Flegrei the definition of the velocity model is a crucial issue to characterize the physical parameters of the medium
Sara Lenzi, Matteo Cerminara, Mattia de' Michieli Vitturi, Tomaso Esposti Ongaro, and Antonello Provenzale
Geosci. Model Dev. Discuss., https://doi.org/10.5194/gmd-2020-28, https://doi.org/10.5194/gmd-2020-28, 2020
Revised manuscript not accepted
Arnau Folch, Leonardo Mingari, Natalia Gutierrez, Mauricio Hanzich, Giovanni Macedonio, and Antonio Costa
Geosci. Model Dev., 13, 1431–1458, https://doi.org/10.5194/gmd-13-1431-2020, https://doi.org/10.5194/gmd-13-1431-2020, 2020
Short summary
Short summary
This paper presents FALL3D-8.0, the latest version release of an open-source code with a track record of 15+ years and a growing number of users in the volcanological and atmospheric communities. The code, originally conceived for atmospheric dispersal and deposition of tephra particles, has been extended to model other types of particles, aerosols and radionuclides. This paper details the FALL3D-8.0 model physics and the numerical implementation of the code.
Silvia Massaro, Antonio Costa, Roberto Sulpizio, Diego Coppola, and Lucia Capra
Solid Earth, 10, 1429–1450, https://doi.org/10.5194/se-10-1429-2019, https://doi.org/10.5194/se-10-1429-2019, 2019
Short summary
Short summary
The Fuego de Colima volcano (Mexico) shows a complex eruptive history, with periods of rapid and slow lava dome growth punctuated by explosive activity. Here we reconstructed the 1998–2018 average discharge rate by means of satellite thermal data and the literature. Using spectral and wavelet analysis, we found a multi-term cyclic behavior that is in good agreement with numerical modeling, accounting for a variable magmatic feeding system composed of a single or double magma chamber system.
Mattia de' Michieli Vitturi, Tomaso Esposti Ongaro, Giacomo Lari, and Alvaro Aravena
Geosci. Model Dev., 12, 581–595, https://doi.org/10.5194/gmd-12-581-2019, https://doi.org/10.5194/gmd-12-581-2019, 2019
Short summary
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Pyroclastic avalanches are a type of granular flow generated at active volcanoes by different mechanisms, including the collapse of steep pyroclastic deposits (e.g., scoria and ash cones) and fountaining during moderately explosive eruptions. We present IMEX_SfloW2D, a depth-averaged flow model describing the granular mixture as a single-phase granular fluid. Benchmark cases and preliminary application to the simulation of the 11 February pyroclastic avalanche at Mt. Etna (Italy) are shown.
Matthieu Poret, Stefano Corradini, Luca Merucci, Antonio Costa, Daniele Andronico, Mario Montopoli, Gianfranco Vulpiani, and Valentin Freret-Lorgeril
Atmos. Chem. Phys., 18, 4695–4714, https://doi.org/10.5194/acp-18-4695-2018, https://doi.org/10.5194/acp-18-4695-2018, 2018
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This study aims at proposing a method to better assess the initial magma fragmentation produced during explosive volcanic eruptions. We worked on merging field, radar, and satellite data to estimate the total grain-size distribution, which is used within simulations to reconstruct the tephra loading and far-travelling airborne ash dispersal. This approach is applied to 23 November 2013, giving the very fine ash fraction related to volcanic hazards (e.g. air traffic safety).
Arnau Folch, Jordi Barcons, Tomofumi Kozono, and Antonio Costa
Nat. Hazards Earth Syst. Sci., 17, 861–879, https://doi.org/10.5194/nhess-17-861-2017, https://doi.org/10.5194/nhess-17-861-2017, 2017
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Atmospheric dispersal of a gas denser than air can threat the environment and surrounding communities. In complex terrains, microscale winds and local orographic features can have a strong influence on the gas cloud behavior, potentially leading to inaccurate model results if not captured by coarser-scale simulations. We introduce a methodology for microscale wind field characterization and validate it using, as a test case, the CO2 gas dispersal from 1986 Lake Nyos eruption.
A. Folch, A. Costa, and G. Macedonio
Geosci. Model Dev., 9, 431–450, https://doi.org/10.5194/gmd-9-431-2016, https://doi.org/10.5194/gmd-9-431-2016, 2016
Short summary
Short summary
We present FPLUME-1.0, a steady-state 1-D cross-section-averaged eruption column model based on the buoyant plume theory (BPT). The model accounts for plume bending by wind, entrainment of ambient moisture, effects of water phase changes, particle fallout and re-entrainment, a new parameterization for the air entrainment coefficients and a model for wet aggregation of ash particles in presence of liquid water or ice.
M. de' Michieli Vitturi, A. Neri, and S. Barsotti
Geosci. Model Dev., 8, 2447–2463, https://doi.org/10.5194/gmd-8-2447-2015, https://doi.org/10.5194/gmd-8-2447-2015, 2015
Short summary
Short summary
In this paper a new mathematical model of volcanic plume, named Plume-MoM, is presented. The model is based on the method of moments and it is able to describe the continuous variability in the grain size distribution (GSD) of the pyroclastic mixture ejected at the vent, crucial to characterize the source conditions of ash dispersal models. Results show that the GSD at the top of the plume is similar to that at the base and that plume height is weakly affected by the parameters of the GSD.
R. Tonini, L. Sandri, A. Costa, and J. Selva
Nat. Hazards Earth Syst. Sci., 15, 409–415, https://doi.org/10.5194/nhess-15-409-2015, https://doi.org/10.5194/nhess-15-409-2015, 2015
Related subject area
Subject area: The evolving Earth surface | Editorial team: Geochemistry, mineralogy, petrology, and volcanology | Discipline: Volcanology
Lahar events in the last 2000 years from Vesuvius eruptions – Part 3: Hazard assessment over the Campanian Plain
Lahar events in the last 2000 years from Vesuvius eruptions – Part 1: Distribution and impact on densely inhabited territory estimated from field data analysis
Transient conduit permeability controlled by a shift between compactant shear and dilatant rupture at Unzen volcano (Japan)
Reproducing pyroclastic density current deposits of the 79 CE eruption of the Somma–Vesuvius volcano using the box-model approach
Laura Sandri, Mattia de' Michieli Vitturi, Antonio Costa, Mauro Antonio Di Vito, Ilaria Rucco, Domenico Maria Doronzo, Marina Bisson, Roberto Gianardi, Sandro de Vita, and Roberto Sulpizio
Solid Earth, 15, 459–476, https://doi.org/10.5194/se-15-459-2024, https://doi.org/10.5194/se-15-459-2024, 2024
Short summary
Short summary
We study the lahar hazard due to the remobilization of tephra deposits from reference eruptions at Somma–Vesuvius. To this end, we rely on the results of two companion papers dealing with field data and model calibration and run hundreds of simulations from the catchments around the target area to capture the uncertainty in the initial parameters. We process the simulations to draw maps of the probability of overcoming thresholds in lahar flow thickness and dynamic pressure relevant for risk.
Mauro Antonio Di Vito, Ilaria Rucco, Sandro de Vita, Domenico Maria Doronzo, Marina Bisson, Mattia de' Michieli Vitturi, Mauro Rosi, Laura Sandri, Giovanni Zanchetta, Elena Zanella, and Antonio Costa
Solid Earth, 15, 405–436, https://doi.org/10.5194/se-15-405-2024, https://doi.org/10.5194/se-15-405-2024, 2024
Short summary
Short summary
We study the distribution of two historical pyroclastic fall–flow and lahar deposits from the sub-Plinian Vesuvius eruptions of 472 CE Pollena and 1631. The motivation comes directly from the widely distributed impact that both the eruptions and lahar phenomena had on the Campanian territory, not only around the volcano but also down the nearby Apennine valleys. Data on about 500 stratigraphic sections and modeling allowed us to evaluate the physical and dynamical impact of these phenomena.
Yan Lavallée, Takahiro Miwa, James D. Ashworth, Paul A. Wallace, Jackie E. Kendrick, Rebecca Coats, Anthony Lamur, Adrian Hornby, Kai-Uwe Hess, Takeshi Matsushima, Setsuya Nakada, Hiroshi Shimizu, Bernhard Ruthensteiner, and Hugh Tuffen
Solid Earth, 13, 875–900, https://doi.org/10.5194/se-13-875-2022, https://doi.org/10.5194/se-13-875-2022, 2022
Short summary
Short summary
Volcanic eruptions are controlled by the presence of gas bubbles in magma, which, in excess, can cause explosions. Eruption models lack an understanding of how gas percolates in magma flowing in a conduit. Here we study gas percolation in magma associated with the 1994–1995 eruption at Mt. Unzen, Japan. The results show that the pathways for gas escape depend on the depth and ascent rate of magma. Pathways closed at depth but opened along fractures when magma ascended rapidly near the surface.
Alessandro Tadini, Andrea Bevilacqua, Augusto Neri, Raffaello Cioni, Giovanni Biagioli, Mattia de'Michieli Vitturi, and Tomaso Esposti Ongaro
Solid Earth, 12, 119–139, https://doi.org/10.5194/se-12-119-2021, https://doi.org/10.5194/se-12-119-2021, 2021
Short summary
Short summary
In this paper we test a simplified numerical model for pyroclastic density currents or PDCs (mixtures of hot gas, lapilli and ash moving across the landscape under the effect of gravity). The aim is quantifying the differences between real and modelled deposits of some PDCs of the 79 CE eruption of Vesuvius, Italy. This step is important because in the paper it is demonstrated that this simplified model is useful for constraining input parameters for more computationally expensive models.
Cited articles
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Short summary
We present a numerical model for lahars generated by the mobilization of tephra deposits from a reference size eruption at Somma–Vesuvius. The paper presents the model (pyhsics and numerics) and a sensitivity analysis of the processes modelled, numerical schemes, and grid resolution. This work provides the basis for application to hazard quantification for lahars in the Vesuvius area. To this end, we rely on results of the two companion papers (Part 1 on field data, Part 3 on hazard maps).
We present a numerical model for lahars generated by the mobilization of tephra deposits from a...
