Abstract
The unsteady high-velocity flows formed in a magmatic melt under decompression and accompanied by phase transitions determine the dynamics and structure of eruptions of explosive volcanic systems and are related to the multi-parametric and interrelated processes. Their investigation was carried out on the base of multi-phase mathematical model which includes the full system of kinetics equations. Numerical analysis of a magma state dynamics has shown that the bubble dynamics in the cavitating melt takes a collective character and that the diffusion of dissolved gas from a melt plays the key role in the formation of decompression waves. Two cases were distinguished: one for which the diffusion flux determines only the nucleation process (the gas mass inside the bubbles is practically permanent) and another one where this restriction is omitted. In the first case, the decompression wave front takes a classical smooth form (approximately 100 m wide). In the second case, the decompression wave structure and the melt state behind the saturation front turn out to be principally different. The jumps in the mass velocity and viscosity practically left out the pressure inside the cavitation bubbles unchanged for a long time in spite of their growth where intense gas diffusion is observed. It was shown that, if nuclei density was increased at the expense of micro-crystallites, a wave precursor and the system of discrete zones of saturation in its field were formed. The results of the experimental simulation of the structure of the gas saturated flow erupted from a channel and of the effect of magmatic “bombs” flux formation are presented.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Kedrinskii, V.K.: About gas-dynamic signs of explosive eruptions of volcanoes. I. Hydrodynamic analogs of pre-eruption volcano state, dynamics of three-phase magma state in a decompression waves. J. AMTP 49(6), 3–12 (2008)
Kedrinskii, V.K.: The experimental research and hydrodynamic models of a ”sultan”. Arch. Mech. 26(3/4), 535–540 (1974)
Kedrinskii, V.K.: Hydrodynamics of Explosion: Experiments and Models. Springer (2005)
Kedrinskii, V.K.: Nonlinear problems of cavitative disintegration of liquid under explosive loading. J. AMTP 34(3), 74–91 (1993)
The Physics of Explosive Volcanic Eruptions, vol. 145. Geolog. Soc. Spec. Publ. (1998)
Eichelberger, J., Gordeev, E., Koyaguchi, T.A.: Russian-Japan-US Partnership to understand explosive volcanism. Internet Archive Wayback Machine, 1–4 (2006), http://www.uaf.edu/geology/PIRE/PIRE.pdf
Woods, A.W.: The dynamics of explosive volcanic eruptions. Rev. Geophys. 33(4), 495–530 (1995)
Dobran, F.: Non-equilibrium flow in volcanic conduits and application of the eruption of Mt. St. Helens on May 18 1980 and Vesuvius in Ad.79. J. Volcanol. Geotherm. Res. 49, 285–311 (1992)
Glass, I.I., Heuckroth, L.E.: Hydrodynamic shock tube. Phys. Fluids 6(4), 543–549 (1963)
Vorotnikova, M.I., Kedrinskii, V.K., Soloukhin, R.I.: Shock tube for study of 1D waves in a liquid. J. Combustion Explosion and Shock Waves 1, 5–15 (1965)
Besov, A.S., Kedrinskii, V.K., Pal’chikov, E.I.: Study of initial stage of cavitation using diffraction-optical method. Pis’ma ZhTF 10(4), 240–244 (1984)
Iordanskii, S.V.: Equations of motion of a liquid containing gas bubbles. J. Prikl. Mekh. Tekh. Fiz. 3, 102–110 (1960)
Kogarko, B.S.: One model of a cavitating liquid. Dokl. Akad. Nauk SSSR 137(6), 1331–1333 (1961)
Van Wijngaarden, L.: On the equations of motion for mixtures of liquid and gas bubbles. J. Fluid Mech. 33, 465–474 (1968)
Kedrinskii, V.K.: Dynamics of the cavitation zone during an underwater explosion near a free surface. J. Appl. Mech. Tech. Phys. 16(5), 724–733 (1975)
Trevena, D.H.: Cavitation and Tension in Liquids. Hilter, Bristol Philadelphia (1987)
Hansson, I., Kedrinskii, V.K., Morch, K.: On the dynamics of cavity cluster. J. Phys. D Applied Physics 15, 1725–1734 (1982)
Papale, P., Neri, A., Macedorio, G.: The role of magma composition and water content in explosive eruptions. 1. Conduit ascent dynamics. J. Volcanol. Geotherm. Res. 87, 75–93 (1998)
Persikov, E.S.: The viscosity of magmatic liquids: Experiment, generalized patterns. A model for calculation and prediction. Applications. Physical Chemistry of Magmas. Advances in Physical Geochemistry, vol. 9, pp. 1–40. Springer, New York (1991)
Manga, M., Gonnermann, H.M., Namiki, A.: Why do volcanoes (only sometimes) erupt explosively? In: Canad. Geophys. Union and Amer. Geophys. Union Meeting, Montreal, May 17-21 (2004)
Mader, H.: Conduit flow and fragmentation. In: Gilbert, J.S., Sparks, R.S. (eds.) The Physics of Explosive Volcanic Eruption, vol. 145, pp. 51–71. Geological Society of London Special Publication (1998)
Navon, O., Lyakhovsky, V.: Vesiculation processes in silicic magma. In: Gilbert, J.S., Sparks, R.S. (eds.) The Physics of Explosive Volcanic Eruption, vol. 145, pp. 27–50. Geological Society of London Special Publication (1998)
Melnik, O.E., Sparks, R.S.J.: Nonlinear dynamics of lava dome extrusion. Nature 402(4), 37–41 (1999)
Barmin, A.A., Melnik, O.E.: Hydrodynamics of volcanic eruptions. Usp. Mekhaniki 1, 32–60 (2002)
Alidibirov, M., Dingwell, D.: Magma fragmentation by rapid decompression. Nature 380, 146–148 (1996)
Hurwitz, S., Navon, O.: Bubble nucleation in rhyolitic melts: experiments at high pressure, temperature, and water content. Earth Planet. Sci. Lett. 122, 267–280 (1994)
Lyakhovsky, V., Hurwitz, S., Navon, O.: Bubble growth in rhyolitic melts: Experimental and numerical investigation. Bull. Volcanol. 58(1), 19–32 (1996)
Navon, O., Chekhmir, A., Lyakhovsky, V.: Bubble growth in highly viscous melts: Theory, experiments, and autoexplosivity of dome lavas. Earth Planet. Sci. Lett. 160, 763–776 (1998)
Proussevitch, A.A., Sahagian, D.L.: Dynamics of coupled diffusive and decompressive bubble growth in magmatic systems. J. Geophys. Res. 101(8), 447–456 (1996)
Namiki, A., Manga, M.: Importance of preexisting bubbles for volcano explosivity. Canad. Geophys. Union and Amer. Geophys. Union Meeting, Montreal, May 17-21 (2004)
Proussevich, A.A., et al.: Dynamics of diffusive bubble growth in magmas: isothermal case. J. Geophys. Res. 98, 283–307 (1993)
Lezhnin, S.I., Pribaturin, N.A., Sorokin, A.L.: Formation and growth of bubbles in a water-saturated magma. In: Proceedings of All Russian Workshop on Acoustical Heterogeneous Media; J. of Dynamics of Continuous Media, Inst. Hydrodynamics, Sib. Div., Russian Acad. of Sci. 123, 97–106 (2005) (in Russian)
Kedrinskii, V.K.: Gas-dynamic signs of explosive eruptions of volcanoes. 2. Model of homogeneous-heterogeneous nucleation. Specific features of destruction of the cavitating magma. J. Appl. Mech. Tech. Phys. 50(2), 309–317 (2009)
Kedrinskii, V.K., Davydov, M.N., Chernov, A.A., Takayama, K.: Initial stage of the explosive eruption of volcanoes: magma state dynamics in unloading waves. Dokl. Ross. Akad. Nauk. 407(2), 190–193 (2006)
Chernov, A.A., Kedrinskii, V.K., Davydov, M.N.: Spontaneous nucleation of bubbles in a gas-saturated melt under instantaneous decompression. J. Appl. Mech. Tech. Phys. 45(2), 281–285 (2004)
Hill, D.P., Pollitz, F., Newhall, C.: Phys. Today 55(11), 41 (2002)
Kedrinskii, V., et al.: In: Proceedings of the 5th International Symposium on Cavitation (CAV 2003), Osaka, Japan, pp. 1–7, Paper No. CAV-03GS-4-404 (2003)
Davydov, M.N., Kedrinskii, V.K., Chernov, A.A., Takayama, K.: Prikl. Mekh. Tekh. Fiz. 46, 71 (2005)
Stolper, E.: Contrib. Mineral. Petrol. 2(81), 1 (1982)
Proussevitch, A.A., Sahagian, D.L.: J. Geophys. Res. B 103(8), 18223 (1998)
Chernov, A.A.: Prikl. Mekh. Tekh. Fiz. 44(5), 80 (2003)
Kedrinskii, V.K., Plaksin, S.: Rarefaction wave structure in a cavitating liquid. In: Kedrinskii, V.K. (ed.) Problems of Nonlinear Acoustics: Proc. of IUPAP-IUTAM Symposium on Nonlinear Acoustics Part 1, Novosibirsk (1987)
Besov, A.S., Kedrinskii, V.K., Pal’chikov, E.I.: Investigation of initial stage of cavitation by diffraction optical technique. Pis’ma ZhTF 10(4) (1984)
Berngardt, A.R., Kedrinskii, V.K., Pal’chikov, E.I.: Zh. Prikl. Mekh. i Tekh. Fiz. 36, 2 (1995)
Berngardt, A.R.: Dynamics of the cavitation zone under impulsive loading of a Liquid. PhD Thesis, Novosibirsk (1995)
Berngardt, A., Bichenkov, E., Kedrinskii, V., Pal’chikov, E.: Optic and x-ray investigation of water fracture in rarefaction wave at later stages. In: Pichal, M. (ed.) Proc. IUTAM Symp. on Optical Methods in the Dynamics of Fluids and Solids. Springer, Heidelberg (1985)
Kedrinskii, V.K.: Dynamics of ”collective” bubble in a magma melt flow behind the decompression wave front. J. Appl. Mech. Tech. Phys. 52(3) (2011)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Kedrinskii, V.K., Takayama, K. (2013). Bubbly Magma State Dynamics at Explosive Character of Decompression. In: Delale, C. (eds) Bubble Dynamics and Shock Waves. Shock Wave Science and Technology Reference Library, vol 8. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-34297-4_12
Download citation
DOI: https://doi.org/10.1007/978-3-642-34297-4_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-34296-7
Online ISBN: 978-3-642-34297-4
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)