Diffraction of plane SV waves by a cavity in poroelastic half-space

Liang, Jianwen; Liu, Zhongxian

doi:10.1007/s11803-009-8077-9

Cited by 42 publications

(23 citation statements)

References 12 publications

(19 reference statements)

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“…3 Numerical solutions by IBIEM IBIEM was first proposed by Wong (1982), since then it has applied extensively, among which Liang and Liu (2009) solved the wave motion problems. Based on the single-layer potential theory, the IBIEM solves wave motion problems in the following way.…”

Section: Model Definitionmentioning

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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Section: Model Definitionmentioning

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 Green's functions of the second P wave and SV wave source at a point can be obtained in the same ways, and the detailed displacement and stress expressions for the Green's functions can be found in the reference (Liang and Liu, 2009b).…”

Section: Green's Functions Of Compressional and Shear Wave Sources Bumentioning

confidence: 99%

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

Liang

Liu

2009

Earthq Sci

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This paper presents an indirect boundary integration equation method for diffraction of plane P waves by a two-dimensional canyon of arbitrary shape in poroelastic half-space. The Green's functions of compressional and shear wave sources in poroelastic half-space are derived based on Biot's theory. The scattered waves are constructed using the fictitious wave sources close to the boundary of the canyon, and magnitude of the fictitious wave sources are determined by the boundary conditions. The precision of the method is verified by the satisfaction extent of boundary conditions, the comparison between the degenerated solutions of single-phased half-space and the well-known solutions, and the numerical stability of the method.

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“…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. Later, Parvanova et al [49] examined the seismic reaction of unlined and lined tunnels, as well as multiple buried inclusions within the elastic homogeneous halfplane in the frequency domain.…”

Section: Introductionmentioning

confidence: 99%

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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Diffraction of plane SV waves by a cavity in poroelastic half-space

Cited by 42 publications

References 12 publications

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

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

Diffraction of plane P waves by a canyon of arbitrary shape in poroelastic half-space (I): Formulation

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

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