SpringerLink
Log in

Interaction of acoustic waves with porous layer

  • Published:
Thermophysics and Aeromechanics Aims and scope

Abstract

Interaction of sound impulse with porous layer is investigated. The presence of a barrier shielded by the layer and the gap between the porous layer and the barrier is possible. Method of calculation in linear approximation of pressures and tensions in the porous layer, gap, and on the barrier has been proposed. The method serves to interpret data on acoustic waves interaction with porous layer obtained experimentally or with the use of finite-difference methods. Specifics of acoustic wave propagation into the porous layer and further reflection from the barrier has been studied. Comparison of calculation data with experimental data of other authors on impulse propagation through the porous plate submerged in water has been carried out.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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. L.M. Brekhovskikh, Waves in the Layered Media, Nauka, Moscow, 1973.

    Google Scholar 

  2. G. Belloncle, H. Franklin, F. Luppé, and J.M. Conoir, Normal modes of a poroelastic plate and their relation to the reflection and transmission coefficients, Ultrasonics, 2003, Vol. 41, P. 207–216.

    Article  Google Scholar 

  3. V.V. Efimov and D.I. Sementsev, Phase correlations at sound wave reflection and transmission by the flat layer, Acoust. Phys., 2001, Vol. 47, No. 6, P. 789–792.

    Article  Google Scholar 

  4. A.I. Boiko, V.E. Glazanov, A.V. Mikhailov, and V.V. Tyutekin, Experimental studies of the elements of acoustic rubber screens with cylindrical channels, Ibid., 2003, Vol. 49, No. 1, P. 123–126.

    Article  Google Scholar 

  5. I.A. Viktorov, E.K. Grishchenko, and T.M. Kaekina, Studies of UV surface waves propagation at the boundary of the solid and liquid, Ibid., 1963, Vol. 9, No. 2, P. 162–170.

    Google Scholar 

  6. A.A. Gubaidullin and O.Yu. Boldyreva, Wave propagation along the boundary of the saturated porous medium and liquid, Ibid., 2006, Vol. 52, No. 2, P. 201–211.

    Article  Google Scholar 

  7. T. Yamamoto, Propagator matrix for continuously layered seabeds, Bull. Seism. Soc. Am., 1983,. Vol. 73, P. 1599–1620.

    Google Scholar 

  8. R.D. Stoll and T.-K. Kan, Reflection of acoustic waves at a water-sediment interface, J. Acoust. Soc. Am., 1981, Vol. 70, No. 1, P. 149–156.

    Article  MATH  ADS  Google Scholar 

  9. F. Belhocine, S. Derible, and H. Franklin, Transition term method for the analysis of the reflected and the transmitted acoustic signals from water-saturated porous plates, J. Acoust. Soc. Am., 2007, Vol. 122, No. 3, P. 1518–1526.

    Article  ADS  Google Scholar 

  10. V. Sh. Shagapov, A.Sh. Sultanov, and S.F. Urmancheev, On solving the problem of reflection of linear waves in a fluid from a porous half-space saturated by this fluid, J. Appl. Mech. Tech. Phys., 2006, Vol. 47, No. 5, P. 628–636.

    Article  MathSciNet  ADS  Google Scholar 

  11. A.G. Kutushev and D.A. Rudakov, Mathematical modelling of the dynamic loading of the layer of powder medium by compressed gas, Math. Modelling, 1991, Vol. 3, No. 11, P. 65–75.

    Google Scholar 

  12. A.G. Kutushev and D.A. Rudakov, Numerical study of the action of a shock wave on an obstacle screened by a layer of porous powder material, J. Appl. Mech. Tech. Phys., 1993, No. 5, P. 618–624.

  13. A.G. Kutushev and S.P. Rodionov, Numerical study of the effect of the parameters of a bulk layer and an incident shock wave on the pressure at a shielded flat wall, Combustion, Explosion and Shock Waves, 1999, Vol. 35, No. 2, P. 206–213.

    Article  Google Scholar 

  14. A.G. Kutushev and S.P. Rodionov, Interaction of weak shock waves with a powder medium layer, Ibid., 2000, Vol. 36, No. 3, P. 405–413.

    Article  Google Scholar 

  15. A.A. Gubaidullin, D.N. Dudko, and S.F. Urmancheev, Modelling of the interaction between an air shock wave and a porous screen, Combustion, Explosion and Shock Waves, 2000, Vol. 36, No. 4, P. 496–505.

    Article  Google Scholar 

  16. A.A. Gubaidullin, A. Britan, and D.N. Dudko, Air shock wave interaction with an obstacle covered by porous material, Shock Waves, 2003, Vol. 13, No. 1, P. 41–48.

    Article  MATH  ADS  Google Scholar 

  17. A.A. Gubaidullin and D.N. Dudko, Modelling of the impact of air shock wave on barrier covered by porous screen, Comput. Mech., 2003, Vol. 31, No. 6, P. 453–460.

    Article  MATH  Google Scholar 

  18. S.V. Lukin, A.A. Gubaidullin, and S.F. Urmancheev, Regularities of pressure wave reflection from solid surfaces covered with porous layer, Oil and Gas Business, 2006, No. 4, P. 35–40.

  19. Z.E.A. Fellah, S. Berger, W. Lauriks et al., Measuring the porosity and the tortuosity of porous materials via reflected waves at oblique incidence, J. Acoust. Soc. Am., 2003, Vol. 113, No. 5, P. 2424–2433.

    Article  ADS  Google Scholar 

  20. Z.E.A. Fellah, C. Depollier, S. Berger et al, Determination of transport parameters in air-saturated porous materials via reflected ultrasonic waves, J. Acoust. Soc. Am., 2003. Vol. 114, No. 5, P. 2561–2569.

    Article  ADS  Google Scholar 

  21. S. Derible, Debye-series analysis of the transmission coefficient of a water-saturated porous plate obeying Biot’s theory, J. Acoust. Soc. Am., 2005. Vol. 118, No. 6, P. 3430–3435.

    Article  ADS  Google Scholar 

  22. A.A. Gubaidullin and O.Yu. Kuchugurina. Spherical and cylindrical linear waves in the porous media saturated with liquid, High Temp., 1995, Vol. 33, No. 1, P. 108–115.

    Google Scholar 

  23. A.A. Gubaidullin, D.N. Dudko, and S.F. Urmancheev, Effect of air blast walls on the barriers covered with porous layer, Comput. Technol., 2001, Vol. 6, No. 3, P. 7–20.

    Google Scholar 

  24. O.Yu. Boldyreva, A.A. Gubaidullin, D.N. Dudko, and A.G. Kutushev, Numerical study of the transfer of shock-wave loading to a screened flat wall through a layer of a powdered medium and a subsequent air gap, Combustion, Explosion and Shock Waves, 2007, Vol. 43, No. 1, P. 114–123.

    Article  Google Scholar 

  25. A.A. Zhilin, A.V. Fyodorov, Yu.G. Korobeinikov, and V.M. Fomin, Mathematical Simulation Of The Mechanism Of Acoustic Drying Of Porous Materials, Appl. Mech. Tech. Phys., 2003, Vol. 44, No. 5, P. 685–698.

    Article  Google Scholar 

  26. R.I. Nigmatullin, Fundamentals of Heterogeneous Media Mechanics, Nauka, Moscow, 1978.

    Google Scholar 

  27. R.I. Nigmatullin, Dynamics of Multiphase Media, Vol. 1, Hemisphere Publ. Corp., New York, 1991.

    Google Scholar 

  28. R.I. Nigmatullin and A.A. Gubaidullin, Linear waves in saturated porous media, Transport in Porous Media, 1992, Vol. 9, No. 1&2, P. 135–142.

    Article  Google Scholar 

  29. D.L. Johnson, J. Koplik, and R. Dashen, Theory of dynamic permeability and tortuosity in fluid-saturated porous media, J. Fluid Mech., 1987, Vol. 176, P. 379–402.

    Article  MATH  ADS  Google Scholar 

  30. H. Deresiewicz and R. Skalak, On uniqueness in dynamic poroelasticity, Bull. Seism. Soc. Am., 1963, Vol. 53, No. 4, P. 783–788.

    Google Scholar 

  31. S. Feng and D.L. Johnson, High-frequency acoustic properties of a fluid/porous solid interface. I. New surface mode, J. Acoust. Soc. Am., 1983, Vol. 74, No. 3, P. 906–914.

    Article  MATH  ADS  Google Scholar 

  32. M. A. Isakovich, General Acoustics, Nauka, Moscow, 1973.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Tyumen Division of Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Tyumen, Russia

    A. A. Gubaidullin, O. Yu. Boldyreva & D. N. Dudko

Authors
  1. A. A. Gubaidullin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Yu. Boldyreva
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. N. Dudko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Gubaidullin.

Additional information

The work was financially supported by the Grant of the President of the Russian Federation (NS-3483.2008.1).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gubaidullin, A.A., Boldyreva, O.Y. & Dudko, D.N. Interaction of acoustic waves with porous layer. Thermophys. Aeromech. 16, 429–443 (2009). https://doi.org/10.1134/S0869864309030123

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0869864309030123

Key words

Search

Navigation