Natalya Zeinalova

Karlsruhe Institute of Technology

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Alik Ismail‐Zadeh

Karlsruhe Institute of Technology

Oleg Melnik

Lomonosov Moscow State University

Igor Tsepelev

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Frank Schilling

German Institute of Food Technologies

Vyacheslav M. Zobin

Universidad de Colima

Illya Starodubtsev

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Alexander Korotkii

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Yulia Starodubtseva

Russian Academy of Sciences

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Russian Academy of Sciences

Institute of Earthquake Prediction Theory and Mathematical Geophysics

N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Ural Federal University

Ural Branch of the Russian Academy of Sciences

Karlsruhe Institute of Technology

Czech Academy of Sciences, Institute of Mathematics

Helmholtz Centre Potsdam - GFZ German Research Centre for Geosciences

Universidad de Colima

Universidad Nacional Autónoma de México

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Numerical thermo-mechanical modelling of lava dome growth during the 2007-2009 dome-building eruption at Volcán de Colima

Natalya Zeinalova Alik Ismail‐Zadeh Igor Tsepelev Oleg Melnik Frank Schilling

Lava domes form during effusive eruptions due to an extrusion of highly viscous magmas from volcanic vents. We present here a study of the lava dome growth at Volcán de Colima, Mexico during 2007-2009 using numerical modelling. The mathematical model treats the lava dome extrusion dynamics as a thermo-mechanical problem. The equations of motion, continuity, and heat transfer are solved with the relevant boundary and initial conditions in the assumption that the viscosity depends on the volume fraction of crystals and temperature. Numerical experiments have been performed to analyse the internal structure of the lava dome (i.e., the distributions of the temperature, crystal content, viscosity, and velocity) depending on various heat sources and thermal boundary conditions. It was demonstrated earlier that the lava dome dynamics at Volcán de Colima during short (for a couple of months) dome-building episodes can be modelled by an isothermal lava extrusion with the viscosity depending on the volume fraction of crystals. We show here that cooling plays a significant role during long (up to several years) dome-building episodes. A carapace develops as a response to a convective cooling at the lava dome interface with the air. The carapace becomes thicker if the radiative heat loss at the interface is also considered. The thick carapace influences the lava dome dynamics constraining its lateral advancement. The latent heat of crystallization leads to higher temperatures inside the lava dome and to a relative flattening of the dome. The developed thermo-mechanical model of lava dome dynamics at Volcán de Colima can be used elsewhere to analyze effusive eruptions, dome carapace evolution and its failure potentially leading to pyroclastic flow hazards. 

Lava dome

Dome (geology)

10.5194/egusphere-egu23-1068

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Lava Dome Morphology and Viscosity Inferred From Data-Driven Numerical Modeling of Dome Growth at Volcán de Colima, Mexico During 2007-2009

Frontiers in Earth Science (2021)

Natalya Zeinalova Alik Ismail‐Zadeh Oleg Melnik Igor Tsepelev Vyacheslav M. Zobin

Magma extrusion, lava dome growth, collapse of domes, and associated pyroclastic flow hazards are among important volcanological studies. In this paper, we analyze the influence of the magma viscosity and discharge rates on the lava dome morphology at Volcán de Colima in Mexico during a long dome-building episode lasting from early 2007 to fall 2009 without explosive dome destruction. Camera images of the lava dome growth together with recorded volumes of the erupted lava have been used to constrain numerical modeling and hence to match the history of the dome growth by nudging model forecasts to observations. Our viscosity model incorporates crystal growth kinetics and depends on the characteristic time of crystal content growth (or CCGT) and the crystal-free magma viscosity. Initially, we analyze how this viscosity, CCGT, and the rate of lava extrusion influence the morphology of the growing dome. Several model scenarios of lava dome growth are then considered depending on the crater geometry, the conduit location, the effective viscosity of dome carapace, and the extrusion rates. These rates are determined either empirically by optimizing the fit between the morphological shape of modeled domes and that of the observed dome or from the recorded lava dome volumes. The maximum height of the modeled lava dome and its horizontal extent are in a good agreement with observations in the case of the empirically-derived extrusion rates. It is shown that the topography of the crater at Volcán de Colima is likely to be inclined toward the west. The viscosity of the modeled lava dome (∼10 12 Pa s) is in a good agreement with the effective viscosity estimated experimentally from lavas of Volcán de Colima. Due to the interplay between the lava extrusion and the gravity forces, the dome reaches a height threshold, and after that a horizontal gravity spreading starts to play an essential role in the lava dome evolution. The model forecasts that the dome carapace of higher viscosity (∼10 14 Pa s) influences the dome growth and its morphology during long dome-building episodes by retarding horizontal advancement and developing steep-sided eastern edge of the dome at the volcano. The developed model can be used in assessments of future effusive eruptions and lava dome growth at Volcán de Colima or elsewhere. History matching modeling of lava dome growth sheds a light on dynamic processes inside the dome and may assist in assessing stress state in the dome carapace and in forecasting the dome failures.

Lava dome

Dome (geology)

Magma chamber

10.3389/feart.2021.735914

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Inverse Problems in Lava Dynamics

Cambridge University Press eBooks (2023)

Alik Ismail‐Zadeh Alexander Korotkii Oleg Melnik Illya Starodubtsev Yulia Starodubtseva

: Lava flow and lava dome growth are two main manifestations of effusive volcanic eruptions. Less-viscous lava tends to flow long distances depending on slope topography, heat exchange with the surroundings, eruption rate, and the erupted magma rheology. When magma is highly viscous, its eruption on the surface results in a lava dome formation, and an occasional collapse of the dome may lead to a pyroclastic flow. In this chapter, we consider two models of lava dynamics: a lava flow model to determine the internal thermal state of the flow from its surface thermal observations, and a lava dome growth model to determine magma viscosity from the observed lava dome morphological shape. Both models belong to a set of inverse problems. In the first model, the lava thermal conditions at the surface (at the interface between lava and the air) are known from observations, but its internal thermal state is unknown. A variational (adjoint) assimilation method is used to propagate the temperature and heat flow inferred from surface measurements into the interior of the lava flow. In the second model, the lava dome viscosity is estimated based on a comparison between the observed and simulated morphological shapes of lava dome shapes using computer vision techniques.

Lava dome

Effusive eruption

Dome (geology)

10.1017/9781009180412.013

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Numerical thermomechanical modelling of lava dome growth during the 2007–2009 dome-building eruption at Volcán de Colima

Geophysical Journal International (2023)

Natalya Zeinalova Alik Ismail‐Zadeh Igor Tsepelev Oleg Melnik Frank Schilling

SUMMARY Lava domes form during effusive eruptions due to an extrusion of highly viscous magmas from volcanic vents. In this paper we present a numerical study of the lava dome growth at Volcán de Colima, Mexico during 2007–2009. The mathematical model treats the lava dome extrusion dynamics as a thermomechanical problem. The equations of motion, continuity and heat transfer are solved with the relevant boundary and initial conditions in the assumption that magma viscosity depends on the volume fraction of crystals and temperature. We perform several sets of numerical experiments to analyse the internal structure of the lava dome (i.e. the distributions of the temperature, crystal content, viscosity and velocity) depending on various heat sources and thermal boundary conditions. Although the lava dome growth at Volcán de Colima during short (a few months) dome-building episodes can be explained by an isothermal model of lava extrusion with the viscosity depending on the volume fraction of crystals, we show here that cooling plays a significant role during long (up to several years) episodes of dome building. A carapace develops as a response to a convective cooling at the lava dome–air interface. The carapace becomes thicker if the radiative heat loss at the interface is also considered. The thick carapace influences the lava dome dynamics preventing its lateral advancement. The release of the latent heat of crystallization leads to an increase of the temperatures in the lava dome interior and to a relative flattening of the dome. Meanwhile, the heat source due to viscous dissipation inside the lava dome is negligible, and it does not influence the lava dome growth. The developed thermomechanical model of the lava dome dynamics at Volcán de Colima can be used elsewhere to analyse effusive eruptions, dome morphology and carapace evolution including its failure potentially leading to pyroclastic flow hazards.

Lava dome

Dome (geology)

Cabin pressurization

10.1093/gji/ggad415

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