Analysis of wave propagation in saturated porous media. I. Theoretical solution

Kim, Sun-Hoon; Kim, Kwang‐Jin; Blouin, Scott E.

doi:10.1016/s0045-7825(02)00339-0

Cited by 15 publications

(5 citation statements)

References 4 publications

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“…Nevertheless, the ultrasonic-frequency loading is beyond the relevant frequency range for geotechnical earthquake engineering problems. However, according to Biot (1956a) and Kim et al (2002), the dispersion and attenuation characteristics of the fast and slow waves do not only depend on the loading frequency range, but are also affected by the examined soil permeability range. More importantly, the impact of the permeability on the characteristics of the compressional waves in geotechnical materials can be more significant than that of the loading frequency.…”

Section: Compressional Wave Propagation In Saturated Porous Materialsmentioning

confidence: 99%

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: Compressional Wave Propagation In Saturated Porous Materialsmentioning

confidence: 99%

Numerical and analytical investigation of compressional wave propagation in saturated soils

Han

Zdravković

Kontoe

2016

Computers and Geotechnics

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“…Recently, numerous subsequent studies are performed to improve Biot's theory and to broaden the applications of Biot's theory. Gurevich et al [3] used experiment and simulation methods to verify Biot' theory; Kim et al [4] investigated the compressibility of the solid grains and pore fluid and formed an analytical closed-form solution for the velocity of the wave propagation and damping in fully saturated porous media. In a consequent paper, Kim et al [5] gave a comprehensive discussion about the effect of the geometric and material parameters (pore shape, fluid friction, fluid properties, porosity, Poisson's ratio, and bulk modulus) of the media on the behaviuor (velocities and damping) of the wave propagation.…”

Section: Introductionmentioning

confidence: 99%

Response of fluid-saturated elastic porous media to excitations of multiple energy sources

Wang

Dai

Dong

2007

Proceedings of the Institution of Mechanical Engineers, Part K:

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This paper studied the behaviour of elastic waves in porous media consisting of fluid and solid. For analytically quantifying the wave motions of a fluid-saturated porous medium subjected to the excitations of multiple energy sources, a new methodology is developed with the establishment of an analytical wave model. Displacements of both the fluid and solid are considered in the development of the wave model such that the elastic waves propagating in the isotropic and homogeneous porous media can be quantitatively analysed. Solutions of the governing wave equations are developed on the basis of the moving-coordinate method with utilization of Hankel function. Employing the model established, relative displacements between the fluid and solid of a porous medium can be quantified. The wave field in the medium can thus be quantitatively determined for the wave propagation under given multiple energy sources. For demonstrating the application of the theoretical wave model developed, numerical simulations of the elastic waves propagating in a porous medium under multiple energy sources are performed.

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“…Biot (1956) developed a theory of wave propagation in fluid-saturated porous media that has found widespread use in the oil-industry and provides the framework for both observational (Plona, 1980), and more recent theoretical work (Berryman and Wang, 2001;Kim et al, 2003;Liu et al, 2005;Rajagopal and Tao, 2005). Despite the fact that porous media are commonly used as sound absorbers (Sgard et al, 2005;Rossetti et al, 2005), we are not aware of any research which applies formal optimization methods to the systematic design of such media.…”

Section: Pnbg Design Of Fluid-filled Porous Mediamentioning

confidence: 99%

Genetic algorithm optimization of phononic bandgap structures

Gazonas

Weile

Wildman

et al. 2006

International Journal of Solids and Structures

139

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This paper describes the use of genetic algorithms (GAs) for the optimal design of phononic bandgaps in periodic elastic two-phase media. In particular, we link a GA with a computational finite element method for solving the acoustic wave equation, and find optimal designs for both metal-matrix composite systems consisting of Ti/SiC, and H 2 O-filled porous ceramic media, by maximizing the relative acoustic bandgap for these media. The term acoustic here implies that, for simplicity, only dilatational wave propagation is considered, although this is not an essential limitation of the method. The inclusion material is found to have a lower longitudinal modulus (and lower wave speed) than the surrounding matrix material, a result consistent with observations that stronger scattering is observed if the inclusion material has a lower wave velocity than the matrix material.

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Analysis of wave propagation in saturated porous media. I. Theoretical solution

Cited by 15 publications

References 4 publications

Numerical and analytical investigation of compressional wave propagation in saturated soils

Numerical and analytical investigation of compressional wave propagation in saturated soils

Response of fluid-saturated elastic porous media to excitations of multiple energy sources

Genetic algorithm optimization of phononic bandgap structures

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