scholarly journals SH wave scattering from fractures using boundary element method with linear slip boundary condition

2011 ◽  
Author(s):  
Tianrun Chen ◽  
Michael Fehler ◽  
Xinding Fang ◽  
Xuefeng Shang ◽  
Dan Burns
Keyword(s):  
Boundary Condition ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Wave Scattering ◽  
Slip Boundary Condition ◽  
Sh Wave ◽  
Slip Boundary ◽  
Element Method

SH wave scattering by a frozen porous inclusion in fluid-saturated porous media using two approaches: wave function expansion and boundary element method

2019 ◽  
Vol 219 (3) ◽  
pp. 2187-2197
Author(s):  
A Furukawa ◽  
T Saitoh ◽  
S Hirose
Keyword(s):  
Porous Media ◽  
Wave Function ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Wave Scattering ◽  
Saturated Porous Media ◽  
Sh Wave ◽  
Function Expansion ◽  
Fluid Saturated Porous Media ◽  
Element Method

Summary This paper presents SH wave scattering by a frozen porous inclusion embedded in fluid-saturated porous media. We propose two computational methods, wave function expansion (WFE) and boundary element method (BEM), for wave scattering analyses. In WFE formulation, the components of displacement and stress are expressed by the superposition of the Bessel functions. The unknown coefficients in the expression are obtained via boundary conditions. On the other hand, in BEM formulation, boundary values of the frozen porous media are expressed by generalized displacement and traction. The generalized displacement consists of displacement components of the solid skeleton and the ice matrix, and the generalized traction is composed of the traction components of the two solid phases. Several numerical examples provide the validity of the proposed methods and the properties of the scattered waves. The discussion of the scattering properties focuses on the effects of ice saturation parameter, frequency of harmonic incident wave, the incident angle of the harmonic wave and the shape of the inclusion.

Rayleigh-wave scattering by shallow cracks using the indirect boundary element method

2009 ◽  
Vol 6 (3) ◽  
pp. 221-230 ◽  
Author(s):  
R Ávila-Carrera ◽  
A Rodríguez-Castellanos ◽  
F J Sánchez-Sesma ◽  
C Ortiz-Alemán
Keyword(s):  
Boundary Element Method ◽  
Rayleigh Wave ◽  
Boundary Element ◽  
Wave Scattering ◽  
Indirect Boundary Element Method ◽  
Rayleigh Wave Scattering ◽  
Element Method

Prediction of Acoustical Behavior in Cavities Using an Indirect Boundary Element Method

1987 ◽  
Vol 109 (1) ◽  
pp. 22-28 ◽  
Author(s):  
C. R. Kipp ◽  
R. J. Bernhard
Keyword(s):  
Boundary Condition ◽  
Boundary Element Method ◽  
Boundary Element ◽  
Point Sources ◽  
Cavity Pressure ◽  
Impedance Boundary ◽  
Indirect Boundary Element Method ◽  
Sound Fields ◽  
Pressure Distributions ◽  
Element Method

An indirect boundary element method is developed to predict sound fields in acoustical cavities. An isoparametric quadratic boundary element is utilized. The formulations of pressure, velocity and/or impedance boundary conditions are developed and incorporated into the method. The capability to include acoustic point sources within the cavity is also implemented. The method is applied to the prediction of sound fields in spherical and rectangular cavities. All three boundary condition types are verified. Cases having a point source within the cavity domain are also studied. Numerically determined cavity pressure distributions and responses are presented. The numerical results correlate well with available analytical results.

Boundary Element Method for Horizontally Polarized Shear Wave Scattering by an Elliptical Cavity in Orthotropic Graded Saturated Porous Media

2014 ◽  
Vol 638-640 ◽  
pp. 412-415
Author(s):  
Jun Qiao Liu ◽  
Hui Qin Duan ◽  
Xing Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Shear Wave ◽  
Wave Scattering ◽  
Mass Density ◽  
Linear Equations ◽  
Boundary Surface ◽  
Dirac Delta ◽  
Elliptical Cavity ◽  
Element Method

The shear wave scattering due to an elliptical cavity in an infinitely long strip of orthotropic graded saturated porous (OGSP) media is studied with the boundary element method (BEM). The shear modulus and the mass density of the OGSP are assumed to have exponential forms. Using Biot's theory, the governing equations are developed for OGSP. The fundamental function is obtained by separating variables in terms of the Dirac delta function. A system of linear equations describing the displacement on the ellipse is obtained by applying the linear BEM. The numerical results for the normalized boundary surface displacements in the scattering field are presented with different OGSP coefficients. The effects of many parameters are evaluated with numerical examples. These results are expected to have great technical interest for determining boundary stability when elastic waves interact with OGSP cavities.

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