Scattering of plane harmonic P, SV and Rayleigh waves by a completely embedded corrugated elastic inclusion

Yu, Chih‐Wei; Dravinski, Marijan

doi:10.1016/j.wavemoti.2009.10.001

Cited by 24 publications

(14 citation statements)

References 21 publications

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“…Examining studies conducted on SV shear waves by Yiouta-Mitra et al [67] and the present study indicates that the distance between the top of the cavity and the bottom of the canyon performs a crucial role in the evaluation of the seismic response of the canyon site feature. Approaching cavity to the bottom of the canyon, the seismic behavior of the canyon, especially in very long periods, is reversed from de-amplification to amplification.…”

Section: Cavity Depth Ratio (Hr) Effectsupporting

confidence: 58%

“…As can be seen in Figs. 2 and 3, acquired results on the ground surface above an unlined circular cavity are compared with the normalized displacement amplitude by Luco and De Barros [43] and Yu and Dravinski [67] for SV and P wave propagation, respectively.…”

Section: Validation Of the Proposed Algorithmmentioning

confidence: 99%

“…Yiouta-Mitra et al [67] in a research on the free ground surface determined that the shallow cavity will result in more seismic amplifications in the ground surface and the effect of the shallow cavity should be regarded in the seismic ground motion. Examining studies conducted on SV shear waves by Yiouta-Mitra et al [67] and the present study indicates that the distance between the top of the cavity and the bottom of the canyon performs a crucial role in the evaluation of the seismic response of the canyon site feature.…”

Section: Cavity Depth Ratio (Hr) Effectmentioning

confidence: 99%

“…In this paper, a circular tunnel is considered in a viscoelastic half-space under harmonic SV waves using finite difference method by FLAC software. Yu and Dravinski [67] investigated the spread of plane harmonic P, SV and Rayleigh waves through a direct boundary integral equation method by 2D smooth and rough cavities completely embedded in an isotropic half-space and full-space in the frequency domain. Liang and Liu [40] provided an indirect boundary integral equation means for the diffraction of plane SV waves by a 2D cavity in a poroelastic halfspace.…”

Section: Introductionmentioning

confidence: 99%

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A BEM investigation on the influence of underground cavities on the seismic response of canyons

2015

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Two-dimensional site effects caused by cavities under topographical functions can considerably impact the seismic reaction of the ground surface. Due to the complexity of scattering issues by topographical features above subterranean cavity, few studies have been done in this field. In the present study, the seismic response of semisine-shaped canyons above a subterranean cavity (hole) of different dimensions, depths and locations is examined. The medium is assumed to have a linear elastic constitutive behavior exposed to vertically propagating incident SV and P waves. All calculations are performed using the direct boundary element technique in the time domain. It is observed that a cavity below a canyon can considerably change the ground response of the surface in different periodic bands. The seismic interaction between canyon and cavity with respect to various geometrical parameters will lead to different amplification patterns in the center and edge of the canyon. One of the most important results is the increase in amplification of long periods compared with the case of a canyon without cavity. Moreover, parametric research shows the fact that the cavity detail and canyon height, the ratio of cavity to the canyon size and cavity location impact on the seismic amplification of the canyon surface. Finally, spectral amplification coefficients of the canyon surface led by the cavity are reported for different cases of the canyon-cavity interaction.

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Section: Cavity Depth Ratio (Hr) Effectsupporting

confidence: 58%

Section: Validation Of the Proposed Algorithmmentioning

confidence: 99%

Section: Cavity Depth Ratio (Hr) Effectmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A BEM investigation on the influence of underground cavities on the seismic response of canyons

2015

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“…Yiouta-Mitra et al (2007) adopted the FDM to study the dynamic response of a circular tunnel in a half space subjected to harmonic SV waves. Yu and Dravinski (2009) investigated the scattering of plane P, SV, and Rayleigh waves by a cavity embedded in an isotropic half space by BEM. Liu et al (2010) further discussed the diffraction of P, SV waves by a tunnel in an elastic half space using a special BEM.…”

Section: Introductionmentioning

confidence: 99%

Dynamic interaction of twin vertically overlapping lined tunnels in an elastic half space subjected to incident plane waves

2016

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The scattering of plane harmonic P and SV waves by a pair of vertically overlapping lined tunnels buried in an elastic half space is solved using a semi-analytic indirect boundary integration equation method. Then the effect of the distance between the two tunnels, the stiffness and density of the lining material, and the incident frequency on the seismic response of the tunnels is investigated. Numerical results demonstrate that the dynamic interaction between the twin tunnels cannot be ignored and the lower tunnel has a significant shielding effect on the upper tunnel for high-frequency incident waves, resulting in great decrease of the dynamic hoop stress in the upper tunnel; for the low-frequency incident waves, in contrast, the lower tunnel can lead to amplification effect on the upper tunnel. It also reveals that the frequency-spectrum characteristics of dynamic stress of the lower tunnel are significantly different from those of the upper tunnel. In addition, for incident P waves in low-frequency region, the soft lining tunnels have significant amplification effect on the surface displacement amplitude, which is slightly larger than that of the corresponding single tunnel.

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Wave scattering and diffraction of subsurface cavities in layered half‐space for incident SV‐P and SH waves

Lin

2019

Num Anal Meth Geomechanics

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SummaryA novel approach is proposed to deal with the problem of wave scattering and diffraction of subsurface cavities embedded in stratified half‐space. The subsurface cavity with complex surroundings is treated as a substructure. The continuity condition at the interface between the substructure and the far field of stratified half‐space is maintained by applying a free‐field approach. As the boundary of the free‐field ground is regular, the construction of the dynamic matrices and the evaluation of the wave input on the interface become considerably easier. Based on the previous work with some improvement, a novel approach for evaluation of Green's functions in stratified half‐space is presented. The wave equation is decoupled into the one for SV‐P wave components and the other one for SH wave component. The precise integration technique ensures high accuracy of the solution of wave equations. The layer merging technique and the dual form equation make it possible to obtain Green's function in closed‐form solution of matrix equations. Numerical examples validate accuracy and efficiency of the proposed approach.

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Scattering of plane harmonic P, SV and Rayleigh waves by a completely embedded corrugated elastic inclusion

Cited by 24 publications

References 21 publications

A BEM investigation on the influence of underground cavities on the seismic response of canyons

A BEM investigation on the influence of underground cavities on the seismic response of canyons

Dynamic interaction of twin vertically overlapping lined tunnels in an elastic half space subjected to incident plane waves

Wave scattering and diffraction of subsurface cavities in layered half‐space for incident SV‐P and SH waves

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