1997
DOI: 10.1017/s0022112097005983
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Wave propagation in porous media containing a dilute gas–liquid mixture: theory and experiments

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… Show more

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Cited by 70 publications
(56 citation statements)
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“…It is therefore a crucial issue the characterisation of the restriction to be imposed to such pre-stress in order to have assured well-posedness and stability. In the present paper some stability conditions are captured with a simple analysis of the dispersion relation following the methods developed in Foch and Ford (1970) in a general case and in Bowen and Chen (1975), Borrelli and Patria (1984), Garg and Neyfeh (1986), Batra and Bedford (1988), Nigmatulin and Gubaidullin (1992), Smeulders and Van Dongen (1997), Abellan and de Borst (2006) for wave propagation in porous media. Preliminaries and notations ends the first section of this paper.…”
Section: Historical Backgroundmentioning
confidence: 99%
“…It is therefore a crucial issue the characterisation of the restriction to be imposed to such pre-stress in order to have assured well-posedness and stability. In the present paper some stability conditions are captured with a simple analysis of the dispersion relation following the methods developed in Foch and Ford (1970) in a general case and in Bowen and Chen (1975), Borrelli and Patria (1984), Garg and Neyfeh (1986), Batra and Bedford (1988), Nigmatulin and Gubaidullin (1992), Smeulders and Van Dongen (1997), Abellan and de Borst (2006) for wave propagation in porous media. Preliminaries and notations ends the first section of this paper.…”
Section: Historical Backgroundmentioning
confidence: 99%
“…The dynamic interaction between a flowing fluid and the solid constituents of a porous medium is a key issue controlling wave propagation in geological [1][2][3] , biological 4,5 , and engineered systems 6,7 . The general theory of wave propagation in porous media was developed in references [8][9][10][11][12] .…”
Section: Introductionmentioning
confidence: 99%
“…We have synthesized R P1P1 ( p, f ) and R P1SV ( p, f ) using the patchy saturation mechanism of Pride et al [2004], which also considers mesoscopic gas inclusions in the pore fluid, but employs a simple branching function to connect the low-and highfrequency limits of the frequency-dependent mesoscopic flow. On the other hand, for model predictions, we have, as before, used the mechanism of Smeulders and van Dongen [1997] and Vogelaar [2009]. The dispersive regime and the frequency corresponding to the maximum attenuation are quite different between these two mechanisms (see Figure 1).…”
Section: Discussionmentioning
confidence: 99%
“…We use the mechanism of Smeulders and van Dongen [1997] and Vogelaar [2009], which uses the Rayleigh-Plesset equation for the gasbubble behavior and is known to provide realistic results [e.g., van Wijngaarden, 1972;Bedford and Stern, 1983].…”
Section: Mesoscopic Flow Mechanismmentioning
confidence: 99%
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