Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling
An algorithm based on the boundary element method is established for modeling seismic source radiation from open or cased boreholes in layered transversely isotropic (TI) media. The axis of symmetry of TI layers is assumed to be parallel to the borehole axis. Under this assumption, the problem is...
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Format: | Technical Report |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2012
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Online Access: | http://hdl.handle.net/1721.1/75236 |
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author | Dong, Wenjie Bouchon, Michel Toksoz, M. N. |
author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Dong, Wenjie Bouchon, Michel Toksoz, M. N. |
author_sort | Dong, Wenjie |
collection | MIT |
description | An algorithm based on the boundary element method is established for modeling seismic
source radiation from open or cased boreholes in layered transversely isotropic (TI)
media. The axis of symmetry of TI layers is assumed to be parallel to the borehole
axis. Under this assumption, the problem is significantly simplified because the element
discretization of the borehole remains one dimensional. For fluid-filled open boreholes,
three equivalent sources on each element are required to represent the boundary effects
on the inner fluid and the outer solid. The three boundary conditions for a f1uidsolid
interface set up a system of equations for the equivalent sources on all elements.
Once the sources are known, displacements in the solid and pressure in the fluid are
obtained. For fluid-filled and cased boreholes, the method treats borehole fluid, casing,
and cement as a cylindricaliy layered isotropic medium. In this case, the boundary
conditions to be satisfied at the borehole wall are four (continuity of the normal and
tangential displacements and stresses). The implementation of the method is illustrated
through a few examples. |
first_indexed | 2024-09-23T15:20:10Z |
format | Technical Report |
id | mit-1721.1/75236 |
institution | Massachusetts Institute of Technology |
last_indexed | 2024-09-23T15:20:10Z |
publishDate | 2012 |
publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
record_format | dspace |
spelling | mit-1721.1/752362019-04-12T20:31:26Z Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling Dong, Wenjie Bouchon, Michel Toksoz, M. N. Massachusetts Institute of Technology. Earth Resources Laboratory Dong, Wenjie Bouchon, Michel Toksoz, M. N. An algorithm based on the boundary element method is established for modeling seismic source radiation from open or cased boreholes in layered transversely isotropic (TI) media. The axis of symmetry of TI layers is assumed to be parallel to the borehole axis. Under this assumption, the problem is significantly simplified because the element discretization of the borehole remains one dimensional. For fluid-filled open boreholes, three equivalent sources on each element are required to represent the boundary effects on the inner fluid and the outer solid. The three boundary conditions for a f1uidsolid interface set up a system of equations for the equivalent sources on all elements. Once the sources are known, displacements in the solid and pressure in the fluid are obtained. For fluid-filled and cased boreholes, the method treats borehole fluid, casing, and cement as a cylindricaliy layered isotropic medium. In this case, the boundary conditions to be satisfied at the borehole wall are four (continuity of the normal and tangential displacements and stresses). The implementation of the method is illustrated through a few examples. United States. Dept. of Energy (Grant DE-FG02-89ERI4084) 2012-12-05T19:11:50Z 2012-12-05T19:11:50Z 1994 Technical Report http://hdl.handle.net/1721.1/75236 Earth Resources Laboratory Industry Consortia Annual Report;1994-13 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
spellingShingle | Dong, Wenjie Bouchon, Michel Toksoz, M. N. Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title | Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title_full | Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title_fullStr | Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title_full_unstemmed | Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title_short | Borehole Seismic Source Radiation In Layered Isotropic And Anisotropic Media: Boundary Element Modeling |
title_sort | borehole seismic source radiation in layered isotropic and anisotropic media boundary element modeling |
url | http://hdl.handle.net/1721.1/75236 |
work_keys_str_mv | AT dongwenjie boreholeseismicsourceradiationinlayeredisotropicandanisotropicmediaboundaryelementmodeling AT bouchonmichel boreholeseismicsourceradiationinlayeredisotropicandanisotropicmediaboundaryelementmodeling AT toksozmn boreholeseismicsourceradiationinlayeredisotropicandanisotropicmediaboundaryelementmodeling |