Horizontal and vertical motion at the surface of partially saturated soils layer sandwiched between water and elastic solid

Kumari, Manjeet; Singh, Abhishek Kumar; Barak, M. S.; Kumar, Manjeet

doi:10.1080/17455030.2022.2045043

Cited by 5 publications

(3 citation statements)

References 50 publications

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“…In the above research on barrier isolation, the foundation is often simplified as a single and uniform elastic medium. However, due to the influence of geological structure and stress history, natural soil typically exhibits irregular layered distribution in space [16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Gao et al [17] established a layered foundation model with wave barrier plates and analyzed the effects of upper soft and lower hard soil layers and upper hard and lower soft soil layers on wave barrier plates.…”

Section: Introductionmentioning

confidence: 99%

Propagation Behavior of P1-Wave Passing through Fluid-Saturated Porous Continuous Barrier in Layered Saturated Soil

Xu,

Li,

Kang

et al. 2024

Buildings

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The fluid-saturated porous continuous barrier has a better vibration isolation effect than the single-phase solid continuous barrier, and layer-forming saturated soils will have an impact on the vibration isolation effect of the barriers due to their irregular layer-forming distribution. Based on Biot’s theory of saturated porous media and Snell’s law, a dynamic model of a fluid-saturated porous continuous barrier in layered saturated soil is established in this study. By introducing the potential function and using the continuous boundary condition of the interface between the saturated soil and the barrier, the analytical solution of the inverse transmission amplitude ratio of a P1-wave passing through the fluid-saturated porous continuous barrier in stratified saturated soil is obtained. The rationality of the proposed method is verified by comparing the solution of the P-wave model at the interface between the elastic medium and the saturated coarse particle interlayer. The differences in the propagation characteristics of fluid-saturated porous continuous barriers in layered saturated soils, homogeneous saturated soils, and layered single-phase soils are analyzed via numerical examples, and the influence of changes in the physical and mechanical parameters of the fluid-saturated porous continuous barriers on the reflectance amplitude ratios under the conditions of a layered saturated soil foundation are also analyzed. The results show that the presence of fluid in the stratified saturated soil model changes the trend of the reflection amplitude ratio with the incidence angle. The reflection amplitude ratio of the P2-wave and the SV-wave increases first and then decreases with the increase in the incident angle, while the reflection amplitude ratio of P1-wave decreases first and then increases. Barrier thickness and porosity change the energy distribution relationship at the interface; a relatively thicker barrier thickness and a higher porosity would result in a higher amplitude of barrier reflections.

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Section: Introductionmentioning

confidence: 99%

Propagation Behavior of P1-Wave Passing through Fluid-Saturated Porous Continuous Barrier in Layered Saturated Soil

Xu,

Li,

Kang

et al. 2024

Buildings

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“…Some researchers have begun to pay attention to seismic wave propagation in partially saturated soil; Barak et al [31] investigated inhomogeneous plane harmonic wave propagation in dissipative partially saturated soils. Then, Kumari et al [32] presented the procedure for the exact evaluation of the horizontal and vertical motion at the surface of partially saturated soils induced by faster waves. With the development of ocean engineering, some scholars began to pay attention to the scattering of seismic waves by canyons in the sea.…”

Section: Introductionmentioning

confidence: 99%

Surface Motion for P-Wave Scattering by an Arbitrary-Shaped Canyon in Saturated Half-Space

Duan,

Jin,

Zhou

2023

Applied Sciences

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This paper obtained a semianalytical solution for the P-wave scattering problem by an arbitrary-shaped canyon in a saturated half-space by using Biot’s theory, the wave function expansion method, and the moments method. Firstly, based on the Biot fluid-saturated porous media theory and the wave function expansion method, the wave potentials which automatically satisfy the zero-stress boundary condition on the surface of the half-space are obtained. Then, the boundary value problem is transformed into an algebraic problem by the method of moments according to the boundary conditions, and then solved numerically by truncation. By adjusting the parameters, the saturated medium in the original model approximately degenerates into a single-phase elastic medium, and the correctness of the proposed method is verified by comparing it with published results. Finally, the effects of the canyon shape, the porosity of the soil, and the incidence angle and frequency of the incident wave on the amplitude of ground surface motion are investigated. The results show that the incidence angle has a significant effect on the ground surface motion, while the porosity of the soil has little influence on the amplitude of surface motion. The influence of canyon shape on surface motion is mainly reflected in the shielding effect on the incident wave. Although P-wave scattering by a canyon is a traditional problem, most of the analytical solutions are limited to solving the scattering of seismic waves in geometric regular canyons. However, the actual shape of the canyon is not regular, which limits the application of closed analytical solutions in practical engineering. In this paper, the scattering of P-waves in arbitrary-shaped canyons is successfully solved by using a semianalytical method combined with a numerical method-moments method, which provides a possibility for engineering application.

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“…Barak and Dhankhar [25] evaluated the effect of inclined load on a functionally graded fiber-reinforced thermoelastic medium with temperature-dependent properties, and the effect of Lamb-type waves in a porothermoelastic plate immersed in the inviscid fluid was analyzed by Pathania and co-researchers [26,27]. Kumari et al [28,29] studied the distinctive characteristics of reflection coefficients and energy sharing at both open-pore and sealed-pore border surfaces and measured the horizontal and vertical motion at the surface of partially saturated soils. The aim of the present study is to determine the effect of angular velocity, porosity, and thermal variation on the propagation of waves in a rotating homogeneous isotropic thermoelastic solid medium with double porosity for the stress-free boundaries as depicted graphically in Figs [2][3][4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Generalized Plane Waves in a Rotating Thermoelastic Double Porous Solid

Pathania

Kumar

Gupta

et al. 2022

International Journal of Applied Mechanics and Engineering

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The propagation of plane waves in a rotating homogeneous, isotropic, thermoelastic solid with double porosity following Lord-Shulman’s theory of thermoelasticity has been investigated. It is assumed that the medium rotates about an axis normal to the surface with a uniform angular velocity. There may exist five coupled waves that evolved due to the longitudinal, transverse disturbance, voids of type-I and type-II, and temperature change in the medium. The secular equation for the model under consideration has been derived with the help of formal solutions and boundary conditions. The amplitude of displacements, temperature change and volume fraction fields for voids of type-I and type-II have also been computed analytically. Finally, numerical computations have been carried out for magnesium crystal material to understand the behavior of amplitude of phase velocity, penetration depth, specific loss, displacement components, temperature change, and volume fraction field due to type-I and type-II voids corresponding to the different rotation rates. Various graphs have been plotted to support the analytical findings. The study may be used in the development of rotation sensors, material design and thermal efficiency.

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Horizontal and vertical motion at the surface of partially saturated soils layer sandwiched between water and elastic solid

Cited by 5 publications

References 50 publications

Propagation Behavior of P1-Wave Passing through Fluid-Saturated Porous Continuous Barrier in Layered Saturated Soil

Propagation Behavior of P1-Wave Passing through Fluid-Saturated Porous Continuous Barrier in Layered Saturated Soil

Surface Motion for P-Wave Scattering by an Arbitrary-Shaped Canyon in Saturated Half-Space

Generalized Plane Waves in a Rotating Thermoelastic Double Porous Solid

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