Chapter 5 Propagation of waves in porous media

Çorapçıoplu, M. Yavuz; Tuncay, Kağan

doi:10.1016/s1873-975x(96)80007-2

Cited by 39 publications

(23 citation statements)

References 260 publications

(275 reference statements)

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“…In later years, Santos et al (1990a, b) derived the governing equations and presented a method to calculate elastic constants for isotropic porous solids saturated by two fluids. Then the credit for comprehensive discussion on wave propagation in porous solids saturated with multiphase fluids goes to Garg and Nayfeh (1986), Corapcioglu and Tuncay (1996), Tuncay and Corapcioglu (1997) and Lo et al (2005).…”

Section: Introductionmentioning

confidence: 99%

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Kumar¹,

Saini

2016

Lat. Am. j. solids struct.

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The phenomenon of reflection and refraction is studied at the welded interface between two different porous solids. One is saturated with single non-viscous fluid and other is saturated with two immiscible viscous fluids. The incidence of Pf, Ps or SV wave through porous solid saturated with non-viscous fluid results in the three reflected waves and the four waves refracted to porous medium saturated with two immiscible viscous fluids. For the presence of viscosity in pore-fluids, the waves refracted to corresponding medium attenuate in the direction normal to the interface. It is also revealed that for the post-critical incidence of Ps wave, the reflected Pf and SV waves becomes evanescent and for the post-critical incidence of SV wave, the reflected Pf wave becomes evanescent. While, the occurrence of critical incidence is not observed for the incidence of Pf wave. The ratios of amplitudes of reflected and refracted waves to that of incident wave are expressed through a non-singular system of linear algebraic equations. These amplitude ratios are used further to calculate the shares of different scattered waves in the energy of incident wave. For a particular numerical model, the energy shares are computed for incident direction varying from normal incidence to grazing incidence. The conservation of energy across the interface is verified. Effects of non-wet saturation of pores, frequency of wave and porosity on the energy partitions are depicted graphically and discussed.

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Section: Introductionmentioning

confidence: 99%

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Kumar¹,

Saini

2016

Lat. Am. j. solids struct.

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“…Santos et al [24][25] derived the governing equations, and presented a method to calculate the elastic constants for isotropic porous solids saturated by two fluids. Corapcioglu and Tuncay [26] and Tuncay and Corapcioglu [27] comprehensively discussed the wave propagation in porous solids saturated with multiphase fluids.…”

Section: Introductionmentioning

confidence: 99%

Reflection and refraction of attenuated waves at boundary of elastic solid and porous solid saturated with two immiscible viscous fluids

Kumar

Saini

2012

Appl. Math. Mech.-Engl. Ed.

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The propagation of elastic waves is studied in a porous solid saturated with two immiscible viscous fluids. The propagation of three longitudinal waves is represented through three scalar potential functions. The lone transverse wave is presented by a vector potential function. The displacements of particles in different phases of the aggregate are defined in terms of these potential functions. It is shown that there exist three longitudinal waves and one transverse wave. The phenomena of reflection and refraction due to longitudinal and transverse waves at a plane interface between an elastic solid half-space and a porous solid half-space saturated with two immiscible viscous fluids are investigated. For the presence of viscosity in pore-fluids, the waves refracted to the porous medium attenuate in the direction normal to the interface. The ratios of the amplitudes of the reflected and refracted waves to that of the incident wave are calculated as a nonsingular system of linear algebraic equations. These amplitude ratios are used to further calculate the shares of different scattered waves in the energy of the incident wave. The modulus of the amplitude and the energy ratios with the angle of incidence are computed for a particular numerical model. The conservation of the energy across the interface is verified. The effects of variations in non-wet saturation of pores and frequencies on the energy partition are depicted graphically and discussed.

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“…The appearance and behaviour of acoustic waves in saturated porous media basically depend on the frequency of the excitation, the hydraulic permeability, and the mechanical properties of the constituent materials, see the review chapter of Corapcioglu and Tuncay [21], the book of Straughan [65] and also [57,56,73,72,64] for further particulars. In general, three apparent modes of bulk waves can be observed in biphasic solid-fluid aggregates, cf.…”

Section: Introductionmentioning

confidence: 99%

Dynamic wave propagation in infinite saturated porous media half spaces

2011

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From a macroscopic perspective, saturated porous materials like soils represent volumetrically interacting solid-fluid aggregates. They can be properly modelled using continuum porous media theories accounting for both solidmatrix deformation and pore-fluid flow. The dynamic excitation of such multi-phase materials gives rise to different types of travelling waves, where it is of common interest to adequately describe their propagation through unbounded domains. This poses challenges for the numerical treatment and demands special solution strategies that avoid artificial and numerically-induced perturbations or interferences. The present paper is concerned with the accurate and stable numerical solution of dynamic wave propagation problems in infinite half spaces. Proceeding from an isothermal, biphasic, linear poroelasticity model with incompressible constituents, finite elements are used to discretise the near field and infinite elements to approximate the far field. The transient propagation of the poroacoustic body waves to the infinity is thereby modelled by a viscous damping boundary, which, for stability reasons, necessitates an appropriate treatment of the included velocity-dependent damping forces.

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Chapter 5 Propagation of waves in porous media

Cited by 39 publications

References 260 publications

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Reflection and Refraction of Waves at the Boundary of a Non-Viscous Porous Solid Saturated with Single Fluid and a Porous Solid Saturated with Two Immiscible Fluids

Reflection and refraction of attenuated waves at boundary of elastic solid and porous solid saturated with two immiscible viscous fluids

Dynamic wave propagation in infinite saturated porous media half spaces

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