A half-plane time-domain BEM for SH-wave scattering by a subsurface inclusion

Panji, Mehdi; Mojtabazadeh-Hasanlouei, Saeed; Yasemi, Farshid

doi:10.1016/j.cageo.2019.104342

Cited by 29 publications

(7 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Equation (19), |J| is the Jacoby matrix regarding the transformation from the local oblique coordinate system to the element's polar system, and the upper limit of the integration R is expressed by R = min(L, c 2 ∆t), with L = r(θ) meaning the radial boundary of the singular element in the polar coordinate system along the wave propagation direction in Figure 5b.…”

Section: Treatment On Dual Singular Integrals In Both Time and Space Domainsmentioning

confidence: 99%

“…Among numerical techniques, such as the finite element method (FEM) [4][5][6], the meshless method [7][8][9] and the boundary element method (BEM) [10][11][12][13][14][15], BEM has the advantages of high modelling accuracy, dimension reduction, and automatic satisfaction of boundary conditions at infinity. Therefore, BEM has been successfully applied to many engineering problems [16][17][18][19][20]. In the boundary element methods, the time domain boundary element method (TD-BEM, with TD for time domain) is considered to be the most natural choice for transient dynamic problems [12,13].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

Qin

Fan

et al. 2022

Mathematics

View full text Add to dashboard Cite

The analytically time integrable time-space domain (ATI-TSD) is discovered based on which the minimum time-space domain is identified for treatment on singularities in the three-dimensional time-domain boundary element method (3D TD-BEM) formulation. A direct method to solve singular integrals in the 3D TD-BEM formulation for elastodynamic problems is proposed. The wavefront singularity can be analytically eliminated in ATI-TSD, while the dual singularity can be treated by the direct method using Kutt’s quadrature in the identified minimum time-space domain. Three benchmark examples are presented to verify the correctness and the applicability of the direct method for solving the singular integrals in 3D TD-BEM.

show abstract

Section: Treatment On Dual Singular Integrals In Both Time and Space Domainsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

Qin

Fan

et al. 2022

Mathematics

View full text Add to dashboard Cite

show abstract

“…The scattering of plane P and SV waves by twin lined tunnels with imperfect interfaces embedded in an elastic half-space was discovered by Huang et al [24]. In the most recent studies of Panji & Ansari [55], Panji & Habibivand [54], Panji et al [58,59,60] and Panji and Mojtabazadeh-Hasanlouei [56,57,59,60,61], they investigated the SH-wave dispersion by various topographic features. In another study, Mojtabazadeh-Hasanouei et al [42] studied the seismic response of multiple subsurface inclusions as well.…”

Section: Introductionmentioning

confidence: 99%

Seismic ground response by twin lined tunnels with different cross sections

Panji

Mojtabazadeh-Hasanlouei

2021

SN Appl. Sci.

Self Cite

View full text Add to dashboard Cite

In this paper, the geometrical effects of shallow twin lined tunnels with different cross sections are investigated to obtain the anti-plane seismic ground motion under vertical/horizontal incident plane SH waves. A model of long two-dimensional lined tunnels is established and embedded in a homogeneous linear elastic half-plane by an applied numerical time-domain boundary element approach. In addition to a brief introduction to the formulation of the method, by considering five tunnel sections including circular, elliptical, horseshoe, square and rectangular, the surface response is sensitized to observe the normalized displacement amplitude/amplification ratio. In this regard, the angle of the incident wave and the frequency of the response are also included in changing the response pattern. To illustrate the results in both time and frequency domains, they are presented as blanket charts, snapshots, and three-/two-dimensional diagrams. The results showed that the seismic response of the surface is extremely affected by the geometric parameters of underground tunnels, which can create different conditions on the ground surface with shifting the direction of the wavefront. Article Highlights Geometrical effect of twin horizontally overlapping lined tunnels. Applying a time-domain half-plane boundary element method. Illustrating the response in time and frequency domains. The effect of depth and distance ratios on the seismic ground motion. Propagating vertical and horizontal incident SH-wave type. Graphic Abstract

show abstract

“…Liu et al [15,16] studied the scattering of seismic waves by 2-D local sites in a fluid saturated half-space. Recently, Kanaun et al, Panji et al, Wu and Ou also studied the wave scattering around an inclusion considering different types of waves [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Scattering of Plane P₁ Wave by an Inclusion in a Three-Dimension Poroelastic Half-Space

Zhao

Zhang

et al. 2020

Mathematical Problems in Engineering

View full text Add to dashboard Cite

Local inclusion topography has significant influence on seismic wave propagation, and the propagation characteristics of seismic waves in poroelastic soils are obviously different from those in single-phase media. Based on Biot’s theory, the scattering of plane P1 wave by inclusion in a three-dimensional poroelastic half-space is studied by using the indirect boundary element method (IBEM). The scattering field is constructed by introducing a virtual wave near the interface between inclusion and half-space and the surface of half-space, and the virtual wave density is obtained by establishing boundary integral equation based on the boundary conditions. The effects of the depth, geometric characteristics, boundary permeability, porosity, incident frequency, and incident angle of the inclusion on elastic wave scattering are systematically analyzed. The results show that due to the soil skeleton-pore water coupling effect, when the porosity is n = 0.3, the surface displacement amplitude of dry soil is larger than that of poroelastic soil. When the porosity is n = 0.36, the surface displacement amplitude of poroelastic soil is larger than that of dry soil. The surface displacement amplitude of poroelastic-drained condition is slightly larger than that of undrained condition. With the increase of inclusion depth, the scattering of elastic wave by inclusion decreases gradually. When P1 wave is incident, the surface displacement amplitude at the depth of H = 0.5 can be increased up to three times as much as that at the depth of H = 1.5. As the inclusion becomes narrower and flatter, the scattering of elastic waves by inclusion decreases gradually. When the ratio between height and length is S = 2/5, the surface displacement magnitude can reach up to 9.5.

show abstract

A half-plane time-domain BEM for SH-wave scattering by a subsurface inclusion

Cited by 29 publications

References 40 publications

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

Seismic ground response by twin lined tunnels with different cross sections

Scattering of Plane P₁ Wave by an Inclusion in a Three-Dimension Poroelastic Half-Space

Contact Info

Product

Resources

About

A half-plane time-domain BEM for SH-wave scattering by a subsurface inclusion

Cited by 29 publications

References 40 publications

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

A Direct Method for Solving Singular Integrals in Three-Dimensional Time-Domain Boundary Element Method for Elastodynamics

Seismic ground response by twin lined tunnels with different cross sections

Scattering of Plane P1 Wave by an Inclusion in a Three-Dimension Poroelastic Half-Space

Contact Info

Product

Resources

About

Scattering of Plane P₁ Wave by an Inclusion in a Three-Dimension Poroelastic Half-Space