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...
Main Authors: | , , , , |
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Format: | Technical Report |
Language: | en_US |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2014
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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. |
first_indexed | 2024-09-23T12:52:26Z |
format | Technical Report |
id | mit-1721.1/90441 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T12:52:26Z |
publishDate | 2014 |
publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
record_format | dspace |
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 |
work_keys_str_mv | AT chentianrun shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition AT fehlermichael shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition AT fangxinding shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition AT shangxuefeng shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition AT burnsdanielr shwavescatteringfromfracturesusingboundaryelementmethodwithlinearslipboundarycondition |