Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half‐space

Luco, J. Enrique; Barros, F.C.P. de

doi:10.1002/eqe.4290230307

Cited by 129 publications

(41 citation statements)

References 7 publications

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“…where A 2 , B 2 amplitude of the reflect waves, can be referred to Luco and De Barros (1994). Once the lined tunnel exists, scattered field will appear in the half space and the inner of the lined tunnel.…”

Section: Wave Field Constructionmentioning

confidence: 99%

“…To degenerate the solution to single-tunnel case, the following parameters are taken: D/a 1 = 200, q 2 =q 1 = 1.0, c b2 =c b1 = 1.0, damping ratio f = 0.001, v = 1/3 and g = 0.5. Figure 2 shows the surface displacement amplitudes of the half space and the dynamic stress concentration factors on the inner surface of the upper tunnel compared with the well-known results of the elastic half space by Luco and De Barros (1994) for vertically incident P waves and the buried depth of d/a 1 = 1.5 and 5.0, respectively. Velocity of the P and SV waves in tunnels Table 2 Numerical stability verification of surface displacement amplitudes under vertically incident P and SV waves (g ¼ 1:0) …”

Section: Verification Of Accuracy and Validation Of The Numerical Solmentioning

confidence: 99%

“…It has been demonstrated that this method has several advantages such as reducing dimensions of problems, automatic satisfaction of boundary condition, and high calculation precision (Luco and De Barros 1994). Moreover, the IBIEM does not require element discretization, and it can thus be implemented more efficiently.…”

Section: Introductionmentioning

confidence: 99%

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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: Wave Field Constructionmentioning

confidence: 99%

Section: Verification Of Accuracy and Validation Of The Numerical Solmentioning

confidence: 99%

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

2016

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“…In this research, 2D finite element model (FEM) is used to analyze vertical SH waves with linear behavior. De Barros and Luco [14] and Luco and De Barros [43] analyzed the scattering of harmonic waves (SH, SV, P and Rayleigh wave) after striking to buried, unlined and infinitely long cylindrical cavity. The designed method is made using an indirect boundary element technique based on 2D Green's functions for a viscoelastic half-space.…”

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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“…In recent years, a special indirect boundary integration equation method (IBIEM), which has the advantages of reducing dimensions of problems, automatic satisfaction of boundary condition at infinite far, and high calculation precision, has been successfully applied in the field of diffraction of plane waves in elastic media (Sanchez-Sesma and Rosenblueth, 1979;Wong, 1982;Luco and de Barros, 1994;Dravinski and Mossessian, 1987). Based on the single-layer potential theory, the IBIEM resolves problems in the following way.…”

Section: Introductionmentioning

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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Dynamic displacements and stresses in the vicinity of a cylindrical cavity embedded in a half‐space

Cited by 129 publications

References 7 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

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

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

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