2017
DOI: 10.1504/pcfd.2017.081718
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Incremental algorithm for acoustoelastic theory of large static pre-deformed fluid-saturated porous media

Abstract: Abstract:The incremental acoustoelastic equations for fluid-saturated porous media (FSPM) under the large static pre-deformation are derived in this paper by incremental loading method based on classic acoustoelastic theory of FSPM, which provides quantitative acoustoelastic relation of FSPM with arbitrary constitutive equation. Isotropic FSPM with third-order constitutive equation are taken as an example to give the relation between wave velocity and confining pressure and discuss the effect of loading step o… Show more

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Cited by 2 publications
(1 citation statement)
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“…Wang and Tian [17] utilized the finite deformation theory of continuum and pore elastic theory to give the equation of motion of small disturbance wave field superimposed on nonlinear shape variants caused by static stress in fluid-saturated porous media. Ma et al [18] derived the equation of motion of fluid-saturated porous media, adapted to large static deformation and superimposed disturbance wave field. According to the Pade approximation, Fu B Y and Fu L Y [19] extended the acoustic-elastic theory to the case of higher effective stress, which was verified experiment.…”
Section: Introductionmentioning
confidence: 99%
“…Wang and Tian [17] utilized the finite deformation theory of continuum and pore elastic theory to give the equation of motion of small disturbance wave field superimposed on nonlinear shape variants caused by static stress in fluid-saturated porous media. Ma et al [18] derived the equation of motion of fluid-saturated porous media, adapted to large static deformation and superimposed disturbance wave field. According to the Pade approximation, Fu B Y and Fu L Y [19] extended the acoustic-elastic theory to the case of higher effective stress, which was verified experiment.…”
Section: Introductionmentioning
confidence: 99%