The reflection of plane waves in a poroelastic half-space saturated with inviscid fluid

Lin, Chi-Hsin; Lee, Vincent; Trifunac, Mihailo D.

doi:10.1016/j.soildyn.2004.10.009

Cited by 125 publications

(67 citation statements)

References 30 publications

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“…Therefore, in order to obtain realistic results of practical usage, we limit our study to water-saturated sandstones whose properties are based on experimental data. The poroelastic approximation of watersaturated sandstones is taken from [28], although a more general dissipative soil (b = 0) is considered here. The main hypothesis is the linear relationship between porosity φ and solid dry bulk modulus K s :…”

Section: Wave Barriers In Poroelastic Soilsmentioning

confidence: 99%

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

Bordón

Aznárez

Maeso

2016

Computers and Geotechnics

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Section: Wave Barriers In Poroelastic Soilsmentioning

confidence: 99%

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

Bordón

Aznárez

Maeso

2016

Computers and Geotechnics

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“…Unlike the general case, here the second dilatational wave velocity is greater than shear wave velocity which is valid for the soft poroelastic solids [13]. Mass coupling parameter is taken to be zero [11].…”

Section: × 10mentioning

confidence: 99%

Axially Symmetric Vibrations of Composite Poroelastic Spherical Shell

Gurijala

Perati

2014

International Journal of Engineering Mathematics

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This paper deals with axially symmetric vibrations of composite poroelastic spherical shell consisting of two spherical shells (inner one and outer one), each of which retains its own distinctive properties. The frequency equations for pervious and impervious surfaces are obtained within the framework of Biot's theory of wave propagation in poroelastic solids. Nondimensional frequency against the ratio of outer and inner radii is computed for two types of sandstone spherical shells and the results are presented graphically. From the graphs, nondimensional frequency values are periodic in nature, but in the case of ring modes, frequency values increase with the increase of the ratio. The nondimensional phase velocity as a function of wave number is also computed for two types of sandstone spherical shells and for the spherical bone implanted with titanium. In the case of sandstone shells, the trend is periodic and distinct from the case of bone. In the case of bone, when the wave number lies between 2 and 3, the phase velocity values are periodic, and when the wave number lies between 0.1 and 1, the phase velocity values decrease.

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“…In the absence of a canyon, the first P wave incident on the surface of the poroelastic half-space will generate one reflected first P wave, one reflected second P wave and one reflected SV wave, which can be expressed as (Lin et al, 2005) (r) can be obtained, which can be found in the reference (Lin et al, 2005).…”

Section: Wave Fieldsmentioning

confidence: 99%

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

Liang

Liu

2009

Earthq Sci

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This paper presents an indirect boundary integration equation method for diffraction of plane P waves by a two-dimensional canyon of arbitrary shape in poroelastic half-space. The Green's functions of compressional and shear wave sources in poroelastic half-space are derived based on Biot's theory. The scattered waves are constructed using the fictitious wave sources close to the boundary of the canyon, and magnitude of the fictitious wave sources are determined by the boundary conditions. The precision of the method is verified by the satisfaction extent of boundary conditions, the comparison between the degenerated solutions of single-phased half-space and the well-known solutions, and the numerical stability of the method.

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The reflection of plane waves in a poroelastic half-space saturated with inviscid fluid

Cited by 125 publications

References 30 publications

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

Two-dimensional numerical approach for the vibration isolation analysis of thin walled wave barriers in poroelastic soils

Axially Symmetric Vibrations of Composite Poroelastic Spherical Shell

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

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