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  • Journal of Fluid Mechanics, Volume 343
  • July 1997, pp. 351-373

Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

  • D. M. J. SMEULDERS (a1) and M. E. H. VAN DONGEN (a2)
  • DOI: http://dx.doi.org/10.1017/S0022112097005983
  • Published online: 01 July 1997
Abstract

The influence of a small amount of gas within the saturating liquid of a porous medium on acoustic wave propagation is investigated. It is assumed that the gas volumes are spherical, homogeneously distributed, and that they are within a very narrow range of bubble sizes. It is shown that the compressibility of the saturating fluid is determined by viscous, thermal, and a newly introduced Biot-type damping of the oscillating gas bubbles, with mean gas bubble size and concentration as important parameters. Using a super-saturation technique, a homogeneous gas–liquid mixture within a porous test column is obtained. Gas bubble size and concentration are measured by means of compressibility experiments. Wave reflection and propagation experiments carried out in a vertical shock tube show pore pressure oscillations, which can be explained by incorporating a dynamic gas bubble behaviour in the linear Biot theory for plane wave propagation.

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Journal of Fluid Mechanics
  • ISSN: 0022-1120
  • EISSN: 1469-7645
  • URL: /core/journals/journal-of-fluid-mechanics
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