An expansion–coalescence model to track gas bubble populations in magmas

Mancini, Simona; Forestier-Coste, Louis; Burgisser, Alain; James, François; Castro, Jonathan M.

doi:10.1016/j.jvolgeores.2016.01.016

Cited by 12 publications

(7 citation statements)

References 55 publications

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“…Because bubble diffusion is typically negligibly small, bubble walls can only approach when a particular mechanism leads to differential bubble rise velocities or by bubble growth. In magmas with a sufficiently separated bubble flow, two neighbouring bubbles of different size can approach each other vertically due to the differential buoyancy velocities (Manga and Stone, 1994;Lovejoy et al, 2004). In magmas with a dispersed bubble flow, in contrast, the relative position of bubble centres remains fixed; thus, bubble coalescence is controlled by the bubble expansion rate caused by the ascent of the overall magma column (or affected magma parcel).…”

Section: Bubble Motion and Bubble Coalescencementioning

confidence: 99%

On the link between Earth tides and volcanic degassing

et al. 2019

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Abstract. Long-term measurements of volcanic gas emissions conducted during the last decade suggest that under certain conditions the magnitude or chemical composition of volcanic emissions exhibits periodic variations with a period of about 2 weeks. A possible cause of such a periodicity can be attributed to the Earth tidal potential. The phenomenology of such a link has been debated for long, but no quantitative model has yet been proposed. The aim of this paper is to elucidate whether a causal link between tidal forcing and variations in volcanic degassing can be traced analytically. We model the response of a simplified magmatic system to the local tidal gravity variations and derive a periodical vertical magma displacement in the conduit with an amplitude of 0.1–1 m, depending on the geometry and physical state of the magmatic system. We find that while the tide-induced vertical magma displacement presumably has no significant direct effect on the volatile solubility, the differential magma flow across the radial conduit profile may result in a significant increase in the bubble coalescence rate at a depth of several kilometres by up to several multiples of 10 %. Because bubble coalescence facilitates separation of gas from magma and thus enhances volatile degassing, we argue that the derived tidal variation may propagate to a manifestation of varying volcanic degassing behaviour. The presented model provides a first basic framework which establishes an analytical understanding of the link between the Earth tides and volcanic degassing.

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Section: Bubble Motion and Bubble Coalescencementioning

confidence: 99%

On the link between Earth tides and volcanic degassing

et al. 2019

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“…Mesoscopic models represent intermediate models that describe, through a set of mesoscale variables, the microphysics of the system. The formulation of population balance requires adequate closure models for the microphysics that can be developed with the aid of experimental (Mancini et al, 2016) and DNS investigations (Marchisio and Fox, 2013). The inclusion of Lagrangian tracers will result in a more detailed description, with respect to multi-fluid models, of the microphysics that determine the macroscopic properties driving the dynamics.…”

Section: Discussionmentioning

confidence: 99%

MagmaFOAM-1.0: a modular framework for the simulation of magmatic systems

et al. 2022

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Abstract. Numerical simulations of volcanic processes play a fundamental role in understanding the dynamics of magma storage, ascent, and eruption. The recent extraordinary progress in computer performance and improvements in numerical modeling techniques allow simulating multiphase systems in mechanical and thermodynamical disequilibrium. Nonetheless, the growing complexity of these simulations requires the development of flexible computational tools that can easily switch between sub-models and solution techniques. In this work we present MagmaFOAM, a library based on the open-source computational fluid dynamics software OpenFOAM that incorporates models for solving the dynamics of multiphase, multicomponent magmatic systems. Retaining the modular structure of OpenFOAM, MagmaFOAM allows runtime selection of the solution technique depending on the physics of the specific process and sets a solid framework for in-house and community model development, testing, and comparison. MagmaFOAM models thermomechanical nonequilibrium phase coupling and phase change, and it implements state-of-the-art multiple volatile saturation models and constitutive equations with composition-dependent and space–time local computation of thermodynamic and transport properties. Code testing is performed using different multiphase modeling approaches for processes relevant to magmatic systems: Rayleigh–Taylor instability for buoyancy-driven magmatic processes, multiphase shock tube simulations propaedeutical to conduit dynamics studies, and bubble growth and breakage in basaltic melts. Benchmark simulations illustrate the capabilities and potential of MagmaFOAM to account for the variety of nonlinear physical and thermodynamical processes characterizing the dynamics of volcanic systems.

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“…Bubbles typically vary in size following a power law (Cashman and Marsh, 1988;Blower et al, 2003) and in shape from spherical to ellipsoidal (Rust et al, 2003;Moitra et al, 2013). While models based on polydisperse bubble size distributions are available (Sahagian and Proussevitch, 1998;Huber et al, 2013;Mancini et al, 2016), a common starting point to analyse the temporal evolution of 25 the bubbles is nevertheless the assumption of a monodisperse size distribution of spherical bubbles (Prousevitch et al, 1993;Lensky et al, 2004).…”

Section: Gas Bubbles In Magmatic Meltmentioning

confidence: 99%

On the link between Earth tides and volcanic degassing

Dinger¹,

Bredemeyer²,

Arellano³

et al. 2019

Preprint

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Long-term measurements of volcanic gas emissions conducted during the recent decade suggest that under certain conditions the magnitude or chemical composition of volcanic emissions exhibits periodic variations with a period of about two weeks. A possible cause of such a periodicity can be attributed to the Earth tidal potential. The phenomenology of such a link has been debated for long, but no quantitative model has yet been proposed. The aim of this paper is to elucidate whether a causal link from the tidal forcing to variation in the volcanic degassing can be traced analytically. 5 We model the response of a simplified magmatic system to the local tidal gravity variations and derive a periodical vertical magma displacement in the conduit with an amplitude of 0.1-1 m, depending on geometry and physical state of the magmatic system. We find that while the tide-induced vertical magma displacement has presumably no significant direct effect on the volatile solubility, the differential magma flow across the radial conduit profile may result in a significant increase of the bubble coalescence rate in a depth of several kilometres by up to several ten percent. Because 10 bubble coalescence facilitates separation of gas from magma and thus enhances volatile degassing, we argue that the derived tidal variation may propagate to a manifestation of varying volcanic degassing behaviour. The presented model provides a first basic framework which establishes an analytical understanding of the link between the Earth tides and volcanic degassing.Solid Earth Discuss., https://doi.

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An expansion–coalescence model to track gas bubble populations in magmas

Cited by 12 publications

References 55 publications

On the link between Earth tides and volcanic degassing

On the link between Earth tides and volcanic degassing

MagmaFOAM-1.0: a modular framework for the simulation of magmatic systems

On the link between Earth tides and volcanic degassing

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