Velocity and attenuation of compressional waves in nearly saturated soils

Bardet, Jean-Pierre; Sayed, Hussein Amin El

doi:10.1016/0267-7261(93)90002-9

Cited by 35 publications

(13 citation statements)

References 12 publications

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“…Similar implicit forms of these expressions were also presented by Bardet and Sayed (1993), but employing a different damping parameter δ as mentioned in Equation (5). However, herein these expressions are mathematically solved based on the angular transformation for complex parameters, and the explicit exact solutions are derived and given by Equation (15), which extends the solutions derived by Bardet and Sayed (1993) and is believed to provide an easier way to investigate the characteristics of compressional waves. …”

Section: Analytical Expressions For Compressional Wave Propagationmentioning

confidence: 87%

“…Based on Kramer (1996), k* can be expressed by the wave number k (k = ω/c, where c is the compressional wave velocity) and the damping ratio ξ, as shown in Equation (4). It should be noted that Bardet and Sayed (1993) employed a different parameter, the amplitude decay δ, to quantify the wave attenuation, as expressed in Equation (5). However, the damping ratio ξ is used in the present study to represent the soil material damping for compressional deformation, as this is a more widely used damping parameter in geotechnical earthquake engineering problems.…”

Section: -D Elastic Wave Propagation Equationmentioning

confidence: 99%

“…In addition, according to Bardet and Sayed (1993), the compressional wave propagation equation for the fluid phase can be expressed in a similar way, but with different amplitude C, as shown in Equation (10).…”

Section: -D Elastic Wave Propagation Equationmentioning

confidence: 99%

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Numerical and analytical investigation of compressional wave propagation in saturated soils

Han

Zdravković

Kontoe

2016

Computers and Geotechnics

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Abstract. In geotechnical earthquake engineering, wave propagation plays a fundamental role in engineering applications related to the dynamic response of geotechnical structures and to site response analysis. However, current engineering practice is primarily concentrated on the investigation of shear wave propagation and the corresponding site response only to the horizontal components of the ground motion.Due to the repeated recent observations of strong vertical ground motions and compressional damage of engineering structures, there is an increasing need to carry out a comprehensive investigation of vertical site response and the associated compressional wave propagation, particularly when performing the seismic design for critical structures (e.g. nuclear power plants and high dams). Therefore, in this paper, the compressional wave propagation mechanism in saturated soils is investigated by employing hydro-mechanically (HM) coupled analytical and numerical methods. A HM analytical solution for compressional wave propagation is first studied based on Biot's theory, which shows the existence of two types of compressional waves (fast and slow waves) and indicates that their characteristics (i.e. wave dispersion and attenuation) are highly dependent on some key geotechnical and seismic parameters (i.e. the permeability, soil stiffness and loading frequency). The subsequent HM Finite Element (FE) study reproduces the duality of compressional waves and identifies the dominant permeability ranges for the existence of the two waves. In particular the existence of the slow compression wave is observed for a range of permeability and loading frequency that is relevant for geotechnical earthquake engineering applications. In order to account for the effects of soil permeability on compressional dynamic soil behaviour and soil properties (i.e. P-wave velocities and damping ratios), the coupled consolidation analysis is therefore recommended as the only tool capable of accurately simulating the dynamic response of geotechnical structures to vertical ground motion at intermediate transient states between undrained and drained conditions. 2

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Section: Analytical Expressions For Compressional Wave Propagationmentioning

confidence: 87%

Section: -D Elastic Wave Propagation Equationmentioning

confidence: 99%

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Numerical and analytical investigation of compressional wave propagation in saturated soils

Han

Zdravković

Kontoe

2016

Computers and Geotechnics

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“…It should be noted that only the fast wave is considered in the equations above for the sake of clarification in the numerical simulation, though the slow wave can be considered at the same time based on the equations developed in the previous section. In many numerical simulations in practice, the slow waves are insignificant with the consideration that the slow waves propagate with high attenuation (Bardet and Sayed 1993) In order to investigate the superposed action of multiple waves conveniently, the expression for each wave is to be written in a common coordinate system by using the moving-coordinate method (Wang and Liu 2002).…”

Section: Multi-source Model Developmentmentioning

confidence: 99%

“…White (1975) demonstrated that wave velocity and attenuation are substantially affected by the presence of partial saturation, depending mainly on the size of the gas pockets (saturation), frequency, permeability, and porosity of the media. Bardet and Sayed (1993) provided exact and approximate expressions for the velocity and attenuation of the compressional waves within nearly fully saturated poroelastic media.…”

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confidence: 99%

Attenuated Wave Field in Fluid-Saturated Porous Medium with Excitations of Multiple Sources

2009

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This research addresses the investigation of an elastic wave field in a homogeneous and isotropic porous medium which is fully saturated by a Newtonian viscous fluid. A new methodology is developed for describing the wave field in the medium excited by multiple energy sources. To quantify the relative displacements between the fluid and solid of the medium, the governing equations of the elastic wave propagation are derived in the form of displacements specially. The velocities and attenuation of the waves are considered as functions of viscosity and frequency. Making use of the Hankel function and the movingcoordinate method, a model of the wave motion with multiple cylindrical wave sources is built. Making use of the model established in this research, the relative displacement between the fluid and the solid can be quantified, and the wave field in the porous media can then be determined with the given energy sources. Numerical simulations of cylindrical waves from multiple energy sources propagating in the porous medium saturated by viscous fluid are performed for demonstrating the practicability of the model developed.

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Three-Dimensional Wave Propagations in Porous Half-Space Subjected to Multiple Energy Excitations

Hamidzadeh

Dai

Jazar

2014

Wave Propagation in Solid and Porous Half-Space Media

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Velocity and attenuation of compressional waves in nearly saturated soils

Cited by 35 publications

References 12 publications

Numerical and analytical investigation of compressional wave propagation in saturated soils

Numerical and analytical investigation of compressional wave propagation in saturated soils

Attenuated Wave Field in Fluid-Saturated Porous Medium with Excitations of Multiple Sources

Three-Dimensional Wave Propagations in Porous Half-Space Subjected to Multiple Energy Excitations

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