Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique
In this paper, two different methods to solve scattering problems in acoustic or elastic media are coupled to enhance their usefulness. The multiple multipole (MMP) expansions are used to solve for the scattered fields in homogeneous regions which are possibly unbounded. The finite element (FE) m...
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| Other Authors: | |
| 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/1721.1/75260 |
| _version_ | 1811093978646315008 |
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| author | Imhof, Matthias G. |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Imhof, Matthias G. |
| author_sort | Imhof, Matthias G. |
| collection | MIT |
| description | In this paper, two different methods to solve scattering problems in acoustic or elastic
media are coupled to enhance their usefulness. The multiple multipole (MMP) expansions
are used to solve for the scattered fields in homogeneous regions which are possibly
unbounded. The finite element (FE) method is used to calculate the scattered fields
in heterogeneous but bounded scatterers. As the MMP method requires, the different
regions and methods are coupled together in the least squares sense. For some examples,
the scattered fields are calculated and compared to the analytical solutions. Finally, the seismograms are calculated for a scattering problem with several scatterers, and complex geometries. Thus, the hybrid MMP-FEM technique is a very general and useful
tool to solve complex, two-dimensional scattering problems. |
| first_indexed | 2024-09-23T15:53:40Z |
| format | Technical Report |
| id | mit-1721.1/75260 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T15:53:40Z |
| publishDate | 2012 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/752602019-04-10T18:05:19Z Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique Imhof, Matthias G. Massachusetts Institute of Technology. Earth Resources Laboratory Imhof, Matthias G. In this paper, two different methods to solve scattering problems in acoustic or elastic media are coupled to enhance their usefulness. The multiple multipole (MMP) expansions are used to solve for the scattered fields in homogeneous regions which are possibly unbounded. The finite element (FE) method is used to calculate the scattered fields in heterogeneous but bounded scatterers. As the MMP method requires, the different regions and methods are coupled together in the least squares sense. For some examples, the scattered fields are calculated and compared to the analytical solutions. Finally, the seismograms are calculated for a scattering problem with several scatterers, and complex geometries. Thus, the hybrid MMP-FEM technique is a very general and useful tool to solve complex, two-dimensional scattering problems. United States. Air Force Office of Scientific Research (Contract F49620-94-1-0282) Massachusetts Institute of Technology. Earth Resources Laboratory. Reservoir Delineation Consortium 2012-12-05T20:53:00Z 2012-12-05T20:53:00Z 1995 Technical Report http://hdl.handle.net/1721.1/75260 Earth Resources Laboratory Industry Consortia Annual Report;1995-12 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Imhof, Matthias G. Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title | Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title_full | Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title_fullStr | Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title_full_unstemmed | Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title_short | Scattering Of Acoustic And Elastic Waves Using A Hybrid Multiple Multipole Expansions-Finite Element Technique |
| title_sort | scattering of acoustic and elastic waves using a hybrid multiple multipole expansions finite element technique |
| url | http://hdl.handle.net/1721.1/75260 |
| work_keys_str_mv | AT imhofmatthiasg scatteringofacousticandelasticwavesusingahybridmultiplemultipoleexpansionsfiniteelementtechnique |