Influence of the surrounding pressure on acoustic properties of slightly compressible porous media permeated with air-filled bubbles

Qin, Bo; Chen, J.; Cheng, Jiaji

doi:10.1134/s1063771006040075

Cited by 6 publications

(17 citation statements)

References 12 publications

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“…In order to facilitate further comparison with previous results [1,2,9,16] and our own experiments on the pressure dependence of the velocity of a probe wave we concentrate on the case of sufficiently weak sound waves that are only capable of compressing and expanding the already buckled and thus soft microspheres. Such waves do not produce appreciable buckling themselves (since dp p).…”

Section: -P2mentioning

confidence: 99%

“…where we take into account that the compressibility g 1 of the void encapsulated in a buckled shell depends on pressure p. Generally speaking, this dependence can be related to either adiabatically varying pressure of sufficiently strong waves (as discussed in [9,16] for shell-less pores) or the isothermally varying quasistatic pressure (as in the experiments discussed below). In order to facilitate further comparison with previous results [1,2,9,16] and our own experiments on the pressure dependence of the velocity of a probe wave we concentrate on the case of sufficiently weak sound waves that are only capable of compressing and expanding the already buckled and thus soft microspheres.…”

Section: -P2mentioning

confidence: 99%

“…(5), we first note that after buckling (when the microsphere behaves like a "normal" bubble) the volume change dV R of such a single bubble of radius R caused by the pressure increment dp can be approximated by analogy with [1,9,16] as…”

Section: -P2mentioning

confidence: 99%

“…The negative dc/dp can only occur if the effect of the gradual threshold buckling dominates. In what follows, in the development of the analysis [9,15,16] of conventional bubble-like voids, we analyse the effect of the threshold behaviour of encapsulated bubbles, derive expressions for the material nonlinearity parameter and formulate the criteria of either positive or negative sign of the nonlinearity for liquids and incompressible elastic materials containing encapsulated bubbles and pore. Experimental evidence of strong dominance of the threshold-type structural mechanism over the soft-rigid one is also presented.…”

Section: Copyright C Epla 2009mentioning

confidence: 99%

“…To determine the effective bulk modulus, following [9,16] consider a thin layer with thickness ∆x of such an incompressible material containing a large number of buckled microsperes with volume content υ, subjected to incremental pressure dp in the field of a compressional wave propagated along the x -axis. The corresponding thickness variation ∆u of the layer can be written as ∆u = [dp/K + dυ]∆x (3) where dυ is the pressure-dependent increment of the volume content of the buckled microspheres.…”

Section: -P2mentioning

confidence: 99%

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Microstructure-induced giant elastic nonlinearity of threshold origin: Mechanism and experimental demonstration

Zaitsev¹,

Dyskin²,

Pasternak³

et al. 2009

Europhys. Lett.

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There are known numerous examples of strong physical nonlinearity of elastic microinhomogeneous materials caused by the presence of a small amount of a “soft” component (cracks, intergrain contacts, bubbles, etc.). The dimensionless parameter B/A of quadratic nonlinearity for such materials can be on the order of 102–103 in contrast to values on the order of unity typical of ideal crystals, homogeneous amorphous solids or liquids. The sign of this nonlinearity is such that all those materials become stiffer as pressure increases. We consider an extension of this “soft-rigid paradigm” of the nonlinearity increase by accounting for threshold-type properties intrinsic to some inclusions. We show that the nonlinearity in this case can additionally be orders of magnitude higher. We present an example of such a material which unlike “normal” media becomes softer with increasing pressure. Its quasistatic negative parameter B/A reaches ∼(0.5–1)·105, which to our knowledge is a record value.

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Section: -P2mentioning

confidence: 99%

Section: -P2mentioning

confidence: 99%

Section: -P2mentioning

confidence: 99%

Section: Copyright C Epla 2009mentioning

confidence: 99%

Section: -P2mentioning

confidence: 99%

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Microstructure-induced giant elastic nonlinearity of threshold origin: Mechanism and experimental demonstration

Zaitsev¹,

Dyskin²,

Pasternak³

et al. 2009

Europhys. Lett.

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Nonlinear property of slightly compressible media permeated with air-filled bubbles

Qin

2009

Front. Phys. China

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Based on the nonlinear oscillation of an airfilled bubble in weakly compressible media at prestressed state, the effective medium method is used to study the nonlinear property of the slightly compressible media permeated with air bubbles. It is this nonlinear oscillation of air bubbles that results in the nonlinear property of the porous media. Numerical results have confirmed that the nonlinearity of the porous media is usually high, though the optimal porosity is very small. Moreover, the nonlinear property is greatly affected by the prestressed state, porosity, and shear modulus of the matrix media.Keywords slightly compressible media, porous media, effective medium method, nonlinear parameter PACS numbers 43.25.Dc, 43.25.Yw ½ ÁÒØÖÓ Ù Ø ÓÒBecause the elastic and viscoelastic materials permeated with air-filled bubbles are used in a large variety of physical situations, it is very important to determine the acoustic properties of porous media. The effective medium theory (EMT) based on resonance scattering theory can be used to obtain the linear acoustic property of porous media [1,2]. However, the nonlinear property of the porous media cannot be obtained by the EMT. The nonlinear acoustic property is very impor-

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Theory for acoustic propagation in marine sediment containing gas bubbles which may pulsate in a non‐stationary nonlinear manner

Leighton

2007

Geophysical Research Letters

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[1] Whilst there is a considerable body of work in the literature on the theory of acoustic propagation in marine sediments, the incorporation of gas bubbles into such theories is done with the inclusion of assumptions which severely limit the applicability of those models to practical gas-laden marine sediments. This paper provides a theory which does not assume that the bubble dynamics are linear, steady-state and monochromatic. Such assumptions would be incompatible with many of the practical acoustic fields with which sediments are insonified today. These fields are necessarily high amplitude to provide adequate signal-tonoise ratios, given the high attenuation in gassy marine sediments; and often they utilise short pulses to obtain range resolution. This paper provides a theory appropriate for predicting the acoustically-driven non-stationary nonlinear dynamics of spherical gas bubbles embedded in a lossy elastic solid, and discusses how this could be incorporated into a nonlinear, time-dependent propagation model. Citation: Leighton, T. G. (2007), Theory for acoustic propagation in marine sediment containing gas bubbles which may pulsate in a non-stationary nonlinear manner, Geophys. Res. Lett., 34, L17607,

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Influence of the surrounding pressure on acoustic properties of slightly compressible porous media permeated with air-filled bubbles

Cited by 6 publications

References 12 publications

Microstructure-induced giant elastic nonlinearity of threshold origin: Mechanism and experimental demonstration

Microstructure-induced giant elastic nonlinearity of threshold origin: Mechanism and experimental demonstration

Nonlinear property of slightly compressible media permeated with air-filled bubbles

Theory for acoustic propagation in marine sediment containing gas bubbles which may pulsate in a non‐stationary nonlinear manner

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