Abstract
This paper presents the results from the simulation of a phreatomagmatic eruption, in which the formation of the eruptive column is controlled by interaction between magma and water or ice. The process leads to intensive fragmentation of the magma and to mixing of ash and steam with ambient air. Such processes were typical of the initial phase in the April 2010 eruption of Eyjafjallajökull Volcano. It is hypothesized that phreatic explosions produce a dynamic pulsating system that consists of buoyant volumes of the mixture (thermals) that are forming at the base of the eruptive column. A 3-D simulation was used to assess two possible regimes in the evolution of the eruptive column: (1) continuous transport of the mixture into the eruptive column through its base for the case in which the thermals are generated at a high rate and (2) periodic flotation of the thermals whose diameters are comparable with that of the base of the eruptive column. It is shown that one can find a suitable selection of the initial concentrations of ash, steam, and air to achieve a satisfactory agreement between theory and actually observed heights of the gas–ash “clouds” that were formed during the Eyjafjallajökull eruption. The data for our calculations were taken from publications. We also investigated how wind and the changes in the initial parameters affect the process.
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Arason, P., Petersen, G.N., and Bjornsson, H., Observations of the altitude of the volcanic plume during the eruption of Eyjafjallajökull, April–May 2010, Earth Syst. Sci., 2011, vol. 4, pp. 1–25.
Balakrishnan, K., Explosion-driven Rayleigh-Taylor instability in gas-particle mixtures, Phys. Fluids, 2014, vol. 26, pp. 1–15.
Belotserkovskii, O.M. and Fortova, S.V., Macroparameters of 3-D flows in a free shear turbulence, Zhurnal Vychisl. Matematiki Matemat. Fiziki, 2010, vol. 50, no. 6, pp. 1126–1139.
Bonadonna, C., Folch, A., Loughlin, S., and Puempel, H., Future developments in modelling and monitoring of volcanic ash clouds: outcomes from the first IAVCEIWMO workshop on Ash Dispersal Forecast and Civil Aviation, Bull. Volcanol., 2012, vol. 74, pp. 1–10.
Cioni, R., Pistolesi, M., Bertagnini, A., Bonadonna, C., et al., Insights into the dynamics and evolution of the 2010 Eyjafjallajökull summit eruption (Iceland) provided by volcanic ash textures, Earth Planet. Sci. Lett., 2014, vol. 394, pp. 111–123.
Dellino, P., Gudmundsson, M.T., Larsen, G., et al., Ash from the Eyjafjallajökull eruption (Iceland): Fragmentation processes and aerodynamic behavior, J. Geophys. Res., 2012, vol. 117, pp. 1–10.
Gudmundsson, M.T., Thordarson, T., Hoskuldsson, A., et al., Ash generation and distribution from the April-May 2010 eruption of Eyjafjallajökull, Iceland, Sci. Rep., 2012, vol. 2, pp. 1–12. http://dx.doi.org/. 10.1038/srep00572
Höskuldsson, Á., Eruption dynamics of the 2010 summit eruption at the Eyjafjallajökull volcano (Iceland): Magma fragmentation, tephra stratigraphy and transport, Geophys. Res. Abstr., 2011, vol. 13, pp. 14165–14165.
Khazins, V.M., A method of large vortices for hot buoyant thermals in a stratified atmosphere, TVT, 2010, vol. 48, no. 3, pp. 424–432.
Koyaguchi, T., Ochiai, K., and Suzuki, Y.J., The effect of intensity of turbulence in umbrella cloud on tephra dispersion during explosive volcanic eruptions: Experimental and numerical approaches, J. Volcanol. Geotherm. Res., 2009, vol. 186, pp. 68–78.
Langmann, B., Folch, A., Hensch, M., and Matthias, V., Volcanic ash over Europe during the eruption of Eyjafjallajökull on Iceland, April-May 2010, Atmos. Environ., 2012, vol. 48, pp. 1–8.
McClatchey, R.A., Fenn, R.W., Selby, J.E.A., et al., Optical Properties of the Atmosphere, Rep. AFCRL-72–0497, Bedford: Air Force Cambridge Res. Lab., 1972. http://www.dtic.mil/dtic/tr/fulltext/u2/753075.pdf
Moiseenko, K.B. and Malik, N.A., Estimation of total discharges of volcanic ash using atmospheric-transport models, J. Volcanol. Seismol., 2015, vol. 9, no. 1, pp. 30–47.
Neri, A., Ongaro, T.E., Menconi, G., et al., 4D simulation of explosive eruption dynamics at Vesuvius, Geophys. Res. Lett., 2007, vol. 34, pp. 1–7.
Oberhuber, J.M., Herzog, M., Graf, H.F., and Schwanke, K., Volcanic plume simulation on large scales, J. Volcanol. Geotherm. Res., 1998, vol. 87, pp. 29–53.
Petersen, G.N., Bjornsson, H., and Arason, P., The impact of the atmosphere on the Eyjafjallajökull 2010 eruption plume, J. Geophys. Res., 2012, vol. 117, pp. 1–14.
Ripepe, M., Bonadonna, C., Folch, A., et al., Ash-plume dynamics and eruption source parameters by infrasound and thermal imagery: The 2010 Eyjafjallajökull eruption, Earth Planet. Sci. Lett., 2013, vol. 366, pp. 112–121.
Shuvalov, V.V., Multi-dimensional hydrodynamic code SOVA for interfacial flows: application to the thermal layer effect, Shock Waves, 1999, vol. 9, pp. 381–390.
Shuvalov, V. and Artemieva, N., Numerical modeling of phreatomagmatic explosions, in Session 4: Recent and Ancient Volcanism: Processes, Products, Hazards and Economic Resources, GFF, 2004, vol. 126, p. 50.
Suzuki, Y.J., Koyaguchi, T., Ogawa, M., and Hachisu, I., A numerical study of turbulent mixing in eruption clouds using a three-dimensional fluid dynamics model, J. Geophys. Res., 2005, vol. 110, pp. 1–18.
Suzuki, Y.J. and Koyaguchi, T., A three-dimensional numerical simulation of spreading umbrella clouds, J. Geophys. Res., 2009, vol. 114, pp. 1–18.
Suzuki, Y.J. and Koyaguchi, T., 3D numerical simulation of volcanic eruption clouds during the 2011 Shinmoedake eruptions, Earth. Planets Sp., 2013, vol. 65, pp. 581–589.
Textor, C., Graf, H.F., Longo, A., et al., Numerical simulation of explosive volcanic eruptions from the conduit flow to global atmospheric scales, Ann. Geophys., 2005, vol. 48, pp. 817–842.
The 2010 Eyjafjallajökull Eruption, Iceland, Report to ICAO, 2012, Thorkelsson, B., Ed., http://www.vedur.is/ media/ICAOreportweb.pdf.
Wall, R. and Flottau, J., Out of the ashes: Rising losses and recriminations rile Europe’s air transport sector, Aviation Week and Space Technology, 2010, vol. 172, pp. 23–25.
Wohletz, K.H., Explosive magma-water interactions: Thermodynamics, explosion mechanisms, and field studies, Bull. Volcanol., 1986, vol. 48, pp. 245–264.
Wohletz, K.H. and McQueen, R.G., Experimental studies of hydromagmatic volcanism, in Studies in Geophysics, Explosive Volcanism: Inception, Evolution and Hazards, Washington: National Academy Press, 1984, pp. 158–169.
Woodhouse, M.J., Hogg, A. J., Phillips, J.C., and Sparks, R.S.J., Interaction between volcanic plumes and wind during the 2010 Eyjafjallajökull eruption, Iceland, J. Geophys. Res., 2013, vol. 118, pp. 92–109.
Woods, A.W., The fluid dynamics and thermodynamics of eruption columns, Bull. Volcanol., 1988, vol. 50, pp. 169–193.
Zatevakhin, M.A., Kuznetsov, A.E., Nikulin, D.A., and Strelets, M.Kh., Numerical simulation of a set of hot buoyant thermals in an inhomogeneous compressible atmosphere, TVT, 1994, vol. 32, no. 1, pp. 44–56.
Zimanowski, B., Fröhlich, G., and Lorenz, V., Quantitative experiments on phreatomagmatic explosions, J. Volcanol. Geotherm. Res., 1991, vol. 48, pp. 341–358.
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Original Russian Text © V.M. Khazins, V.V. Shuvalov, 2017, published in Vulkanologiya i Seismologiya, 2017, No. 1, pp. 17–27.
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Khazins, V.M., Shuvalov, V.V. The model of an eruptive column produced by phreatomagmatic explosions. J. Volcanolog. Seismol. 11, 33–42 (2017). https://doi.org/10.1134/S074204631701002X
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DOI: https://doi.org/10.1134/S074204631701002X