Summary
The paper presents the short survey both of theoretical and experimental results as well as some approaches to the creation of unsteady multi-phase mathematical models and to the working out of the experimental methods of the simulation of the eruption processes based on the method of hydrodynamic pulse shock tubes. hydrodynamic shock tube The fullsystem of the equations for the study of the initial stage of explosive eruption as well as the results of numerical studies on the magma state dynamics taking into account the gravity, diffusive processes and dynamically changing viscosity will be considered. The experimental simulation of magma fragmentation carried out within the framework of shock tube methods has shown, that the magma fragmentation can be happened also in a result of flow stratification: the flow division into the system of the vertical jets of the spatial form which then are disintegrated on separate fragments.
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References
Mattox T. N. and Mangan M. T.: Littoral hydrovolcanic explosions: a case study of lava – seawater interaction at Kilauea Volcano, Journal of Volcanology and Geothermal Research, (1997), v. 75, p. 1–17.
Woods Andrew W.: The dynamics of explosive volcanic eruptions, Reviews of geophysics, (1995), V. 33, No. 4, p. 495–530.
Gerst, A, et al: The First Second of a Strombolian Eruption: Velocity Observations at Erebus Volcano, Antarctica. EOS Trans. AGU, 87(52), Fall Meet. Suppl., (2006), Abstract V31G-04.
Gilbert J.S. and Sparks R.S.J.(eds): The Physics of Explosive Volcanic Eruptions, Geological Society, London, Special Publications, V. 145, (1998).
Kedrinskii V. K. : Nonlinear problems of cavitation breakdown of liquids under explosive loading, J. Appl. Mech. Tech. Phys., No. 3, p. 361–366, (1993).
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., V. 49, 285–311 (1992).
Kedrinskii V.K., Makarov A.I., Stebnovsky S.V., and Takayama K.: Explosive Volcanic Eruption: Some Approaches to Simulation. Combustion, Explosion and Shock Waves, (2005), V. 41, No. 6, p. 193–201, Kluwer Academic/Plenum Publisher.
Wilson L. : Relationships between pressure, volatile content, and eject in three types of volcanic explosion, J. Volcanol. Geotherm. Res., V. 8, p. 297–313, (1980).
Slezin Yu. B. : Mechanism of Volcanic Eruptions (Steady Model) [in Russian], Nauchnyi Mir, Moscow, (1998).
Papale P., Neri A., and Macedorio G.: The role of magma composition and water content in explosive eruptions. 1. Conduit ascent dynamics, J. Volcanol. Geotherm. Res., V. 87, p. 75–93, (1998).
Barmin A. A. and Mel’nik O. E.: Hydrodynamics of volcanic eruptions, Usp. Mekh., No. 1, p. 32–60, (2002).
Lyakhovsky V., Hurwitz S., and Navon O.: Bubble growth in rhyolitic melts: Experimental and numerical investigation, Bull. Volcanol., V. 58, No. 1, p. 19–32, (1996).
Navon O., Chekhmir A., and Lyakhovsky V.: Bubble growth in highly viscous melts: Theory, experiments, and autoexplosivity of dome lavas, Earth Planet. Sci. Lett., V. 160, p. 763–776, (1998).
Proussevitch A.A. and Sahagian D.L.: Dynamics of coupled diffusive and decompressive bubble growth in magmatic systems, J. Geophys. Res., V. 101, No. 8, p. 17 447–17 456, (1996).
Proussevitch A.A. and Sahagian D.L.: Dynamics and energetics of bubble growth in magmas: Analytical formulation and numerical modeling, J. Geophys. Res., V. 103, No. B8, p. 18 223–18 251, (1998).
Hort M.: Abrupt change in magma liquidus temperature because of volatile loss or magma mixing: Effects on nucleation, crystal growth and thermal history of the magma, J. Petrology, V. 39, No. 5, p. 1063–1076, (1998).
Chernov A.A.: A model of magma solidification during explosive volcanic eruptions, J. Appl. Mech. Tech. Phys., V. 44, No. 5, p. 667–675, (2003).
Stolper E.: Water in silicate glasses: An infrared spectroscopic study, Contrib. Mineral. Petrol., V. 81, p. 1–17, (1982).
Kedrinskii V.K., Davydov M.N., Chernov A.A., and Takayama K: The Initial Stage of Explosive Volcanic Eruption: The Dynamics of the Magma State in Depression Waves, Doklady Physics, V. 51, No 3, p. 140–143, (2006), Pleiades Publishing, Inc.
Persikov E.S.: The viscosity of magmatic liquids: Experiment, generalized patterns. A model for calculation and prediction. Applications,Physical Chemistry of Magmas V. 9 Advances in Physical Geochemistry, Springer-Verlag, New York (1991), p. 1–40.
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Kedrinskiy, V. (2009). Explosive eruptions of volcanos: simulation shock tube methods and multi-phase mathematical models. In: Hannemann, K., Seiler, F. (eds) Shock Waves. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85168-4_3
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DOI: https://doi.org/10.1007/978-3-540-85168-4_3
Publisher Name: Springer, Berlin, Heidelberg
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