Motional modes of dilatational waves in elastic porous media containing two immiscible fluids

Lo, Wei Cheng; Sposito, Garrison; Majer, Ernest L.; Yeh, Chih-Hung

doi:10.1016/j.advwatres.2009.12.007

Cited by 20 publications

(8 citation statements)

References 23 publications

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“…On the basis of numerical simulations, Santos et al [2004] proposed that this third mode involves the nonwetting fluid moving out-of-phase with the wetting fluid while it moves in-phase with the solid framework. This proposal was elucidated by Lo et al [2010], who demonstrated numerically that excitation of the third dilatational mode actually does not affect the solid framework significantly, but instead causes the two pore fluids to move out-of-phase, which is consistent with this mode arising from capillary pressure fluctuations.…”

Section: Acoustic Waves and Poroelasticitymentioning

confidence: 60%

Acoustic waves in unsaturated soils

Sposito

2013

Water Resour. Res.

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[1] Seminal papers by Brutsaert (1964) and Brutsaert and Luthin (1964) provided the first rigorous theoretical framework for examining the poroelastic behavior of unsaturated soils, including an important application linking acoustic wave propagation to soil hydraulic properties. Theoretical developments during the 50 years that followed have led Lo et al., (2005) to a comprehensive model of these phenomena, but the relationship of its elasticity parameters to standard poroelasticity parameters measured in hydrogeology has not been established. In the present study, we develop this relationship for three key parameters, the Gassman modulus, Skempton coefficient, and Biot-Willis coefficient by generalizing them to an unsaturated porous medium. We demonstrate the remarkable result that well-known and widely applied relationships among these parameters for a porous medium saturated by a single fluid are also valid under very general conditions for unsaturated soils. We show further that measurement of the Biot-Willis coefficient along with three of the six elasticity coefficients in the model of Lo et al. (2005) is sufficient to characterize poroelastic behavior. The elasticity coefficients in the model of Lo et al. (2005) are sensitive to the dependence of capillary pressure on water saturation and its viscous-drag coefficients are functions of relative permeability, implying that hysteresis in the water retention curve and hydraulic conductivity function should affect acoustic wave behavior in unsaturated soils. To quantify these as-yet unknown effects, we performed numerical simulations for Dune sand at two representative wave excitation frequencies. Our results show that the acoustic wave investigated by Brutsaert and Luthin (1964) propagates at essentially the same speed during imbibition and drainage, but is attenuated more during drainage than imbibition. Overall, effects on acoustic wave behavior caused by hysteresis become more significant as the excitation frequency increases.

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Section: Acoustic Waves and Poroelasticitymentioning

confidence: 60%

Acoustic waves in unsaturated soils

Sposito

2013

Water Resour. Res.

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“…Increasing the pulsing pressure does not affect the optimal stimulation frequency, but it does increase the peak excess TCE concentration. Lastly, although dilatational wave propagation through a porous medium and, therefore, seismic stimulation, are in principle determined physically by the interplay of two modes of dilatory motion (the Biot "fast" and "slow" compressional waves (Lo et al, 2007(Lo et al, , 2010), the changes in pore volume resulting from out-of-phase motions of the solid framework and interstitial fluids play the more significant role.…”

Section: Discussionmentioning

confidence: 99%

“…The time evolution of this fractional change as described by Eq. (1) corresponds to a motional mode in which the solid matrix and the fluids undergo out-of-phase displacements (Lo et al, 2010) thus leading to the dissipative term in Eq. (1).…”

Section: Governing Partial Differential Equationmentioning

confidence: 99%

Modeling seismic stimulation: Enhanced non-aqueous fluid extraction from saturated porous media under pore-pressure pulsing at low frequencies

Lo¹,

Sposito²,

Huang³

2012

Journal of Applied Geophysics

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“…An excellent review on the pertinent subject has been presented by Carcione (2007). Eulerian formulations for similar models for the study of wave propagation have also been developed by some other researchers like Tuncay and Corapcioglu (1996), Lo et al (2005Lo et al ( , 2009Lo et al ( , 2010. Poroelasticity is now well-established subject, and the monographs on this subject by Detournay and Cheng (1993), Bourbie et al (1987), Hutter andWilmanski (1999), Wang (2000) and Albers (2010) are worth notable.…”

Section: Introductionmentioning

confidence: 96%

Body Waves in Composite Solid Matrix Containing Two Immiscible Fluids

2015

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The present paper is concerned with the propagation of plane waves in a porous medium composed of two solids and two immiscible fluids. Using the principal of virtual complementary work, the expression for complementary strain energy density has been derived and the stress-strain relations for isotropic porous medium are obtained. The capillary pressure arising due to the pressure difference at the interface of two fluid phases has been taken into account, and the solid phases are assumed to be weakly coupled. The idea of compressibility tests is used to find values of the coefficients occurring into the stress-strain relations in terms of the physical properties of individual solid and fluid phases. The equations of motion are obtained using Lagrangian approach, and it has been shown that there may exist four compressional and two shear waves in the medium. Phase speeds of these waves are computed numerically and their dependence on frequency has been depicted graphically.

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Motional modes of dilatational waves in elastic porous media containing two immiscible fluids

Cited by 20 publications

References 23 publications

Acoustic waves in unsaturated soils

Acoustic waves in unsaturated soils

Modeling seismic stimulation: Enhanced non-aqueous fluid extraction from saturated porous media under pore-pressure pulsing at low frequencies

Body Waves in Composite Solid Matrix Containing Two Immiscible Fluids

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