SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition

A boundary element method (BEM) combined with a linear slip boundary condition is proposed to calculate SH wave scattering from fractures. The linear slip boundary condition was proposed by Schoenberg (1980) to model elastic wave propagation through an imperfectly bonded interface, where the tractio...

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Main Authors: Chen, Tianrun, Fehler, Michael, Fang, Xinding, Shang, Xuefeng, Burns, Daniel R.
Other Authors: Massachusetts Institute of Technology. Earth Resources Laboratory
Format: Technical Report
Language:en_US
Published: Massachusetts Institute of Technology. Earth Resources Laboratory 2014
Subjects:
Online Access:http://hdl.handle.net/1721.1/90441
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author Chen, Tianrun
Fehler, Michael
Fang, Xinding
Shang, Xuefeng
Burns, Daniel R.
author2 Massachusetts Institute of Technology. Earth Resources Laboratory
author_facet Massachusetts Institute of Technology. Earth Resources Laboratory
Chen, Tianrun
Fehler, Michael
Fang, Xinding
Shang, Xuefeng
Burns, Daniel R.
author_sort Chen, Tianrun
collection MIT
description A boundary element method (BEM) combined with a linear slip boundary condition is proposed to calculate SH wave scattering from fractures. The linear slip boundary condition was proposed by Schoenberg (1980) to model elastic wave propagation through an imperfectly bonded interface, where the traction cross the interface is continuous and displacement is discontinuous. Here, we demonstrate how to simulate SH wave scattering from fractures by applying the BEM and this linear slip boundary. Comparisons between results obtained using our model with those obtained using a computationally expensive finite difference method (FDM) (Coates and Schoenberg, 1995; Kruger et al., 2005) are performed to show the validity and accuracy of our approach. An example of SH wave scattering from three curved, crossing fractures is also given. Although our discussion here is focused on the linear slip boundary condition, our approach can easily be adopted to various slip boundary conditions that specify the displacement discontinuity and traction relations depending on different physical models of fractures.
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spelling mit-1721.1/904412019-04-12T22:03:24Z SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition Chen, Tianrun Fehler, Michael Fang, Xinding Shang, Xuefeng Burns, Daniel R. Massachusetts Institute of Technology. Earth Resources Laboratory Modeling Scattering A boundary element method (BEM) combined with a linear slip boundary condition is proposed to calculate SH wave scattering from fractures. The linear slip boundary condition was proposed by Schoenberg (1980) to model elastic wave propagation through an imperfectly bonded interface, where the traction cross the interface is continuous and displacement is discontinuous. Here, we demonstrate how to simulate SH wave scattering from fractures by applying the BEM and this linear slip boundary. Comparisons between results obtained using our model with those obtained using a computationally expensive finite difference method (FDM) (Coates and Schoenberg, 1995; Kruger et al., 2005) are performed to show the validity and accuracy of our approach. An example of SH wave scattering from three curved, crossing fractures is also given. Although our discussion here is focused on the linear slip boundary condition, our approach can easily be adopted to various slip boundary conditions that specify the displacement discontinuity and traction relations depending on different physical models of fractures. Eni-MIT Energy Initiative Founding Member Program 2014-09-29T17:36:52Z 2014-09-29T17:36:52Z 2011 Technical Report http://hdl.handle.net/1721.1/90441 en_US Earth Resources Laboratory Industry Consortia Annual Report;2011-19 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory
spellingShingle Modeling
Scattering
Chen, Tianrun
Fehler, Michael
Fang, Xinding
Shang, Xuefeng
Burns, Daniel R.
SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title_full SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title_fullStr SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title_full_unstemmed SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title_short SH Wave Scattering from Fractures using Boundary Element Method with Linear Slip Boundary Condition
title_sort sh wave scattering from fractures using boundary element method with linear slip boundary condition
topic Modeling
Scattering
url http://hdl.handle.net/1721.1/90441
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AT fehlermichael shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition
AT fangxinding shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition
AT shangxuefeng shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition
AT burnsdanielr shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition