A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures
Wave propagation and scattering in fractured formations have been modeled with finite-difference programs and the use of equivalent anisotropic media description of discrete fractures. This type of fracture description allows a decomposition of the compliance matrix into two parts: one accounts f...
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| Format: | Technical Report |
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Massachusetts Institute of Technology. Earth Resources Laboratory
2011
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| Online Access: | http://hdl.handle.net/1721.1/67877 |
| _version_ | 1826194746616315904 |
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| author | Chi, Shihong Campman, Xander |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Chi, Shihong Campman, Xander |
| author_sort | Chi, Shihong |
| collection | MIT |
| description | Wave propagation and scattering in fractured formations have been modeled with
finite-difference programs and the use of equivalent anisotropic media description of
discrete fractures. This type of fracture description allows a decomposition of the
compliance matrix into two parts: one accounts for the background medium and another
accounts for the fractures. The compliance for the fractures themselves can be a sum of
compliances of various fracture sets with arbitrary orientations. Non-orthorgonality of the
fractures, however, complicates the compliance matrix. At the moment, we can model an
orthorhombic medium (9 independent elastic constants) with the two orthogonal fracture
sets. However, if the fractures are non-orthogonal, this results in more general anisotropy
(monoclinic) for which we need to specify 11 independent parameters.. Theoretical
formulation shows that the finite difference program can be extended to simulate wave
propagation in monoclinic media with little additional computational and storage cost. |
| first_indexed | 2024-09-23T10:01:29Z |
| format | Technical Report |
| id | mit-1721.1/67877 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T10:01:29Z |
| publishDate | 2011 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/678772019-04-10T17:18:45Z A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures Chi, Shihong Campman, Xander Massachusetts Institute of Technology. Earth Resources Laboratory Chi, Shihong Campman, Xander Modeling Fractures Wave propagation and scattering in fractured formations have been modeled with finite-difference programs and the use of equivalent anisotropic media description of discrete fractures. This type of fracture description allows a decomposition of the compliance matrix into two parts: one accounts for the background medium and another accounts for the fractures. The compliance for the fractures themselves can be a sum of compliances of various fracture sets with arbitrary orientations. Non-orthorgonality of the fractures, however, complicates the compliance matrix. At the moment, we can model an orthorhombic medium (9 independent elastic constants) with the two orthogonal fracture sets. However, if the fractures are non-orthogonal, this results in more general anisotropy (monoclinic) for which we need to specify 11 independent parameters.. Theoretical formulation shows that the finite difference program can be extended to simulate wave propagation in monoclinic media with little additional computational and storage cost. United States. Dept. of Energy (Award No. DE-FC26-02NT15346) Massachusetts Institute of Technology. Earth Resources Laboratory 2011-12-22T18:53:07Z 2011-12-22T18:53:07Z 2005 Technical Report http://hdl.handle.net/1721.1/67877 Earth Resources Laboratory Industry Consortia Annual Report;2005-12 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Modeling Fractures Chi, Shihong Campman, Xander A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title | A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title_full | A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title_fullStr | A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title_full_unstemmed | A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title_short | A Short Note on Modeling Wave Propagation in Media with Multiple Sets of Fractures |
| title_sort | short note on modeling wave propagation in media with multiple sets of fractures |
| topic | Modeling Fractures |
| url | http://hdl.handle.net/1721.1/67877 |
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