Skip to main content
SpringerLink
Log in

Gas-dynamic signs of explosive eruptions of volcanoes. 2. Model of homogeneous-heterogeneous nucleation. Specific features of destruction of the cavitating magma

  • Published:
Journal of Applied Mechanics and Technical Physics Aims and scope

Abstract

The dynamics of state of the crystallite-containing magma is studied within the framework of the gas-dynamic model of bubble cavitation. The effect of crystallites on flow evolution is considered for two cases: where the crystallites are cavitation nuclei (homogeneous-heterogeneous nucleation model) and where large clusters of crystallites are formed in the magma in the period between eruptions. In the first case, decompression jumps are demonstrated to arise as early as in the wave precursor; the intensity of these jumps turns out to be sufficient to form a series of discrete zones of nucleation ahead of the front of the main decompression wave. Results of experimental modeling of an explosive eruption with ejection of crystallite clusters (magmatic “bombs”) suggest that a cocurrent flow of the cavitating magma with dynamically varying properties (mean density and viscosity) transforms to an independent unsteady flow whose velocity is greater than the magma flow velocity. Experimental results on modeling the flow structure during the eruption show that coalescence of bubbles in the flow leads to the formation of spatial “slugs” consisting of the gas and particles. This process is analyzed within a combined nucleation model including the two-phase Iordansky-Kogarko-van Wijngaarden model and the model of the “frozen” field of mass velocities in the cavitation zone.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. M. Manga, H. M. Gonnermann, and A. Namiki, “Why do volcanoes (only sometimes) erupt explosively?” in: Abstracts of the Canad. Geophys. Union and Amer. Geophys. Union Meeting, Montreal (2004).

  2. A. Namiki and M. Manga, “Importance of preexisting bubbles for volcano explosivity,” in: Abstracts of the Canad. Geophys. Union and Amer. Geophys. Union Meeting, Montreal (2004).

  3. V. K. Kedrinskii, “Gas-dynamic signs of explosive eruptions of volcanoes. 1. Hydrodynamic analogs of the pre-eruption state of volcanoes, dynamics of the three-phase magma state in decompression waves,” J. Appl. Mech. Tech. Phys., 49, No. 6, 891–898 (2008).

    Article  ADS  Google Scholar 

  4. V. K. Kedrinskii and S. I. Plaksin, “Rarefaction wave structure in cavitating liquid,” in: Proc. of the 11th Int. Symp. on Nonlinear Acoustics (Novosibirsk, August 24–28, 1987), Vol. 1, Sib. Branch USSR Acad. Sci., Novosibirsk (1987), pp. 51–55.

    Google Scholar 

  5. D. P. Hill, F. Pollitz, and Ch. Newhall, “Earthquake-volcano interactions,” J. Phys. Today, 55, No. 11, 41–47 (2002).

    Article  Google Scholar 

  6. A. S. Besov, V. K. Kedrinskii, and E. I. Pal’chikov, “Studying of the initial stage of cavitation using the diffraction-optical method,” Pis’ma Zh. Tekh. Fiz., 10, No. 4, 240–244 (1984).

    Google Scholar 

  7. A. W. Woods, “The dynamics of explosive volcanic eruptions,” Rev. Geophys., 33, No. 4, 495–530 (1995).

    Article  ADS  MathSciNet  Google Scholar 

  8. F. Dobran, “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).

    Article  ADS  Google Scholar 

  9. A. R. Berngardt, E. I. Bichenkov, V. K. Kedrinskii, and E. I. Pal’chikov, “Optic and x-ray investigation of water fracture in rarefaction wave at later stage,” in: Proc. of the IUTAM Symp. on Optical Methods in the Dynamics of Fluids and Solids (Prague, September 17–21, 1984), Springer, Berlin (1985), pp. 137–142.

    Google Scholar 

  10. V. K. Kedrinskii, “Nonlinear problems of cavitation breakdown of liquids under explosive loading (review),” J. Appl. Mech. Tech. Phys., 34, No. 3, 361–377 (1993).

    Article  Google Scholar 

  11. A. R. Berngardt, “Dynamics of the cavitation zone in the case of cavitation destruction of water,” in: Dynamics of Continuous Media (collected scientific papers) [in Russian], No. 104, Inst. Hydrodynamics, Sib. Div., Russian Acad. of Sci., Novosibirsk (1992), pp. 3–1

    Google Scholar 

  12. V. K. Kedrinskii, “Negative pressure profile in cavitation zone at underwater explosion near free surface,” Acta Astronaut., 3, Nos. 7/8, 623–632 (1976).

    Article  Google Scholar 

  13. M. N. Davydov, “Mathematical modeling of evolution of cavitation clusters in a liquid under pulse loading,” Candidate’s Dissertation in Physics and Mathematics, Novosibirsk (2006).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. K. Kedrinskii

Authors
  1. V. K. Kedrinskii
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. K. Kedrinskii.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 50, No. 2, pp. 167–177, March–April, 2009.

Rights and permissions

Reprints and permissions

About this article

Cite this article

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 Phy 50, 309–317 (2009). https://doi.org/10.1007/s10808-009-0042-x

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-009-0042-x

Key words

Search

Navigation