Propagation of plane P-waves at interface between elastic solid and unsaturated poroelastic medium

Chen, Weiyun; Xia, Tao; Chen, Wei; Zhai, Chao-jiao

doi:10.1007/s10483-012-1589-6

Cited by 20 publications

(10 citation statements)

References 28 publications

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“…The two half-spaces are assumed to be in HFF 32,11 welded contact. In many problems, effects of material properties on the wave reflection/ refraction characteristics at the interface of an elastics solid and unsaturated porous solid under isothermal conditions have been investigated (Tomar and Arora, 2006;Chen et al, 2012aChen et al, , 2012bKumar and Saini, 2012;Kumar et al, 2019). As the middle of the last century, several disciplines such as petroleum engineering, chemical engineering, soil dynamics, nuclear waste management and nuclear reactors have continued advancement.…”

Section: Discussionmentioning

confidence: 99%

“…In the present scenario, numerous researchers have done a quantitative illustration of elastic wave propagation at the interface of porous solid containing two immiscible fluids. Numerous authors have dissected the reflection/refraction issues involving unsaturated porous solid (Tomar and Arora, 2006;Kumar and Saini, 2012;Chen et al, 2012aChen et al, , 2012bSaini, 2015;Shekhar and Parvez, 2015;Kumar and Saini, 2016;Kumar et al, 2019Kumar et al, , 2021b. However, the wave propagation and refraction/refraction phenomena in non-isothermal media, such as unsaturated poro-thermoelastic media, are additionally intricate than partially saturated porous media.…”

Section: Introductionmentioning

confidence: 99%

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Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Kumar¹,

Liu

Kumari³

et al. 2022

HFF

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Purpose The purpose of this paper is to investigate propagation characteristics of seismic waves at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid. Design/methodology/approach A theoretical formulation of partially saturated poro-thermoelastic solid is used in this study established by Zhou et al. (2019). The incidence of two primary waves (P and SV) is taken. The incident wave from the elastic solid induces two reflected waves and five refracted waves. Due to viscous pore fluids, partially saturated poro-thermoelastic solid behave dissipative, whereas elastic solid behaves non-dissipative. As a result, both reflected and incident waves are homogeneous. However, all the refracted waves are inhomogeneous. A non-singular system of linear equations is formed by the coefficients of reflection and refraction for a specified incident wave. The energy shares of various reflected and refracted waves are determined by using these reflection and refraction factors. Finally, a sensitivity analysis is performed, and the effect of critical variables on energy partitioning at the interface is observed. The numerical example shows that throughout the process of reflection/refraction, the energy of incidence is conserved at all angles of incidences. Findings This study demonstrated two refracted (homogeneous) and five refracted (inhomogeneous) waves due to the incident wave from elastic solid. The reflection and refraction coefficients and partitioning of incident energy are acquired as a part of diverse physical parameters of the partially saturated poro-thermoelastic media. The interference energies between unlike pairs of refracted waves have been discovered due to the dissipative behavior of unsaturated poro-thermoelastic solid. Originality/value The sensitivity of different energy shares to various aspects of the considered model is graphically analyzed for a specific numerical model. The energy balance is maintained by combining interaction energy and bulk wave energy shares.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Kumar¹,

Liu

Kumari³

et al. 2022

HFF

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“…The physical parameters are selected from Ref. 35. The unsaturated porous media are shown in Table 1, and the single-phase elastic media are shown in Table 2.…”

Section: Numerical Analysismentioning

confidence: 99%

“…1 Most of the foundations in construction activities such as pile-driven, dynamic compaction, etc., construction engineering such as elevated, highway, and railroad compacted fills are unsaturated soils. 2 Accordingly, to choose unsaturated foundations that better match the actual situation and reflect the common state of the soil, the research of damping and isolation methods for unsaturated foundations under environmental vibration is of great practical importance.…”

Section: Introductionmentioning

confidence: 99%

Isolation effect of composite multilayer wave impeding block on P-wave in unsaturated foundation

Jiang

Bao

2023

Journal of Low Frequency Noise, Vibration and Active Control

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The traditional wave impeding block (WIB) is designed as composite multilayer WIB with the same thickness to improve its vibration isolation effect. Based on the wave theory in unsaturated porous medium and elastic medium, the isolation effect of composite multilayer WIB on P-wave in unsaturated soil is investigated, and the solution of the vertical displacement at surface after setting composite multilayer WIB (as an example for triple-layer) in unsaturated foundation is obtained. The key factors such as incidence angle, frequency, saturation, thickness, and burial depth of the composite multilayer WIB are evaluated on its vibration isolation properties. The results show that the optimum vibration isolation effect can be achieved by controlling the wave impedance ratio among layers of materials. The isolation efficiency of composite multilayer WIB is 33.9% higher than homogeneous WIB with same thickness at l east, and has good vibration isolation effect for low, medium, and high frequency.

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“…Unsaturated foundation soil layer is simulated by unsaturated porous medium. Based on the mixture theory (Berryman et al, 1988;Lu and Hanyga, 2005;Wei and Muraleetharan, 2002;Van, 1980) of porous medium, the wave equation of unsaturated porous medium are written as follows (Chen et al, 2012)…”

Section: Basic Mathematical Governing Equationsmentioning

confidence: 99%

Theoretical study of P1 wave passing through a double-layer wave impeding block in the unsaturated soil

Shu

2022

Journal of Vibration and Control

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Based on the propagation theory of elastic waves in unsaturated porous medium and single-phase elastic medium, the calculation model of a double-layer wave impeding block (WIB) as vibration isolation barrier in unsaturated soil foundation is established. The analytical solution of the transmission/reflection amplitude ratio of P1 wave passing through a double-layer WIB in unsaturated soil foundation are derived by Helmholtz vector decomposition theorem. The influences of physical and mechanical parameters such as saturation, wave impedance ratio, density, and shear modulus on the vibration isolation effect of the double-layer WIB when P1 wave passing through the double-layer WIB in the unsaturated soil foundation are analyzed by parametric studies. The results show that the saturation has a small effect on the transmission/reflection coefficients of P1 and S waves and a significant effect on the transmission/reflection coefficients of P2 and P3 waves. The wave impedance ratio and the shear modulus and density of the double-layer WIB have a significant effect on the transmission/reflection coefficients. The optimal shear modulus and wave impedance ratio of the double-layer WIB can be selected to obtain the best vibration isolation effect, which provides theoretical guidance for the application of the double-layer WIB in the field of unsaturated ground vibration control.

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Propagation of plane P-waves at interface between elastic solid and unsaturated poroelastic medium

Cited by 20 publications

References 28 publications

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Wave propagation at the welded interface of an elastic solid and unsaturated poro-thermoelastic solid

Isolation effect of composite multilayer wave impeding block on P-wave in unsaturated foundation

Theoretical study of P1 wave passing through a double-layer wave impeding block in the unsaturated soil

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