Skip to main content
Log in

Gas-dynamic signs of explosive eruptions of volcanoes. 1. Hydrodynamic analogs of the pre-explosion state of volcanoes, dynamics of the three-phase magma state in decompression waves

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

Abstract

Experimental data and results of numerical simulations of the magma state dynamics in explosive eruptions of volcanoes are presented. The pre-explosion state of volcanoes and the cavitation processes developed in the magma under explosive decompression are studied under the assumption that the intensity of explosive volcanoes does not exert any significant effect on the eruption mechanisms. In terms of the structural features of the pre-explosion state, a number of explosive volcanic systems are close to hydrodynamic shock-tube schemes proposed by Glass and Heuckroth. High-velocity processes initiated by shock-wave loading of the liquid may be considered as analogs of natural volcanic processes, which have common gas-dynamic features and common kinetics responsible for their mechanisms, regardless of the eruption intensity.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. V. K. Kedrinskii, “The experimental research and hydrodynamic models of a “sultan,” Arch. Mech., 26, Nos. 3/4, 535–540 (1974).

    Google Scholar 

  2. 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  ADS  Google Scholar 

  3. J. S. Gilbert and R. S. J. Sparks (eds.), The Physics of Explosive Volcanic Eruptions (Geological Society Special Publication), Vol. 145, Geolog. Soc., London (1998).

    Google Scholar 

  4. I. I. Glass and L. E. Heuckroth, “Hydrodynamic shock tube,” Phys. Fluids, 6, No. 4, 543–549 (1963).

    Article  MATH  ADS  Google Scholar 

  5. M. I. Vorotnikova, V. K. Kedrinskii, and R. I. Soloukhin, “Shock tube for investigating one-dimensional waves in liquids,” Combust., Expl., Shock Waves, 1, No. 1, 3–9 (1965).

    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. 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 

  8. S. V. Iordanskii, “Equations of motion of a liquid containing gas bubbles,” Prikl. Mekh. Tekh. Fiz., No. 3, 102–110 (1960).

  9. B. S. Kogarko, “One model of a cavitating liquid,” Dokl. Akad. Nauk SSSR, 137, No. 6, 1331–1333 (1961).

    MathSciNet  Google Scholar 

  10. L. Van Wijngaarden, “On the equations of motion for mixtures of liquid and gas bubbles,” J. Fluid Mech., 33, 465–474 (1968).

    Article  MATH  ADS  Google Scholar 

  11. J. Eichelberger, E. Gordeev, and T. Koyaguchi, “A Russian-Japan-US partnership to understand explosive volcanism,” http://www.uaf.edu/geology/PIRE/PIRE.pdf, Jun. 22 (2006), pp. 1–4.

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

    Article  ADS  MathSciNet  Google Scholar 

  13. 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 

  14. 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 

  15. V. K. Kedrinskii, “Dynamics of the cavitation zone during an underwater explosion near a free surface,” J. Appl. Mech. Tech. Phys., 16, No. 5, 724–733 (1975).

    Article  ADS  Google Scholar 

  16. V. K. Kedrinskii, “Shock induced cavitation,” in: Shock Wave Sciences and Technology Reference Library, Vol. 1: Multiphase Flows, Chapter 3, Springer, Berlin-Heidelberg (2007), pp. 67–97.

    Google Scholar 

  17. V. Laykhovsky, S. Hurwitz, and O. Navon, “Bubble growth in rhyolitic melts: experimental and numerical investigation,” Bull. Volcanol., 58, No. 1, pp. 19–32.

  18. V. K. Kedrinskii, M. N. Davydov, A. A. Chernov, and K. Takayama, “Initial stage of the explosive eruption of volcanoes: magma state dynamics in unloading waves,” Dokl. Ross. Akad. Nauk, 407, No. 2, 190–193 (2006).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. K. Kedrinskii.

Additional information

__________

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 49, No. 6, pp. 3–12, November–December, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kedrinskii, V.K. Gas-dynamic signs of explosive eruptions of volcanoes. 1. Hydrodynamic analogs of the pre-explosion state of volcanoes, dynamics of the three-phase magma state in decompression waves. J Appl Mech Tech Phy 49, 891–898 (2008). https://doi.org/10.1007/s10808-008-0110-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10808-008-0110-7

Key words

Navigation