Three‐dimensional response of a cylindrical canyon in a layered half‐space

Luco, J. Enrique; Wong, H. L.; Barros, F.C.P. de

doi:10.1002/eqe.4290190603

Cited by 90 publications

(44 citation statements)

References 20 publications

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“…Therefore, its Cauchy's principal value is zero. The value for tij in equation (18) can be interpreted as half of the applied unit line force and means that the force is distributed symmetrically for any two half-spaces containing the line of application of the load, regardless of its direction. This result also holds for the static Green's function.…”

Section: Discretizationmentioning

confidence: 99%

An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves

Sánchez-Sesma

Ramos-Martinez

Campillo

1993

Earthq Engng Struct Dyn

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SUMMARYA boundary integral formulation is presented and applied to model the ground motion on alluvial valleys under incident P, S and Rayleigh waves. It is based on integral representations for the diffracted and the refracted elastic waves using single-layer boundary sources. This approach is called indirect BEM in the literature as the sources' strengths should be obtained as an intermediate step. Boundary conditions lead to a system of integral equations for boundary sources. A discretization scheme based on the numerical and analytical integration of exact Green's functions for displacements and tractions is used. Various examples are given for two-dimensional problems of diffraction of elastic waves by soft elastic inclusion models of alluvial deposits in an elastic half-space. Results are displayed in both frequency and time domains. These results show the significant influence of locally generated surface waves in seismic response and suggest approximations of practical interest. For shallow alluvial valleys the response and its resonant frequencies are controlled by a coupling mechanism that involves both the simple one-dimensional shear beam model and the propagation of surface waves.

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Section: Discretizationmentioning

confidence: 99%

An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves

Sánchez-Sesma

Ramos-Martinez

Campillo

1993

Earthq Engng Struct Dyn

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“…Bleistein (1986) developed the ray-theoretical implications of 2.5-D modelling for acoustic problems. Luco et al (1990) proposed a formulation for a 2.5-D indirect boundary method using Green's functions for a harmonic moving point force in order to obtain the 3-D response of an infinitely long canyon, in a layered half-space, for plane elastic waves impinging at an arbitrary angle with respect to the axis of the canyon. Pedersen et al (1994) also presented a 2.5-D indirect boundary element method based on moving Green's functions to study 3-D scattering of plane elastic waves by 2-D topographies.…”

Section: Introductionmentioning

confidence: 99%

2.5-D Time-Domain Finite-Difference Modelling of Teleseismic Body Waves

Takenaka¹,

Okamoto²

2012

Seismic Waves - Research and Analysis

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“…Therefore, the DBEM (or simply BEM which is usually referred to as the standard) and the IBEM will stand in this work for the direct and the indirect formulations of BEM, respectively. Some significant studies carried out using an indirect approach were presented by Luco et al [9] and Luco and de Barros [10] in which a 2.5D indirect formulation was proposed in order to obtain the 3D response of an infinitely long canyon, and a class of cylindrical inclusions embedded in layered media, respectively. In Sanchez-Sesma and Campillo [11,12], the Indirect Boundary Element Method (IBEM) was presented and used to compute the 2D seismic response of topographical irregularities on the surface of a homogeneous half-space.…”

Section: Introductionmentioning

confidence: 99%

The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology)

Álvarez-Rubio

Sánchez‐Sesma

Benito

et al. 2004

Soil Dynamics and Earthquake Engineering

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The Direct Boundary Element Method (DBEM) is presented to solve the elastodynamic field equations in 2D, and a complete comprehensive implementation is given. The DBEM is a useful approach to obtain reliable numerical estimates of site effects on seismic ground motion due to irregular geological configurations, both of layering and topography.The method is based on the discretization of the classical Somigliana's elastodynamic representation equation which stems from the reciprocity theorem. This equation is given in terms of the Green's function which is the full-space harmonic steady-state fundamental solution. The formulation permits the treatment of viscoelastic media, therefore site models with intrinsic attenuation can be examined. By means of this approach, the calculation of 2D scattering of seismic waves, due to the incidence of P and SV waves on irregular topographical profiles is performed. Sites such as, canyons, mountains and valleys in irregular multilayered media are computed to test the technique. The obtained transfer functions show excellent agreement with already published results.

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Three‐dimensional response of a cylindrical canyon in a layered half‐space

Cited by 90 publications

References 20 publications

An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves

An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves

2.5-D Time-Domain Finite-Difference Modelling of Teleseismic Body Waves

The direct boundary element method: 2D site effects assessment on laterally varying layered media (methodology)

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