Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation
In this abstract, we present a case study in the application of a time-stepping method, unconstrained by the CFL condition, for computational acoustic wave propagation in the context of full waveform inversion. The numerical scheme is a locally one-dimensional (LOD) variant of alternating dimension...
| Main Authors: | , , , |
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| Other Authors: | |
| 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/1721.1/90532 |
| _version_ | 1826194293145993216 |
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| author | Zepeda Nunez, Leonardo Andres Hewett, Russell J. Rao, Minghua Michel Demanet, Laurent |
| author2 | Massachusetts Institute of Technology. Earth Resources Laboratory |
| author_facet | Massachusetts Institute of Technology. Earth Resources Laboratory Zepeda Nunez, Leonardo Andres Hewett, Russell J. Rao, Minghua Michel Demanet, Laurent |
| author_sort | Zepeda Nunez, Leonardo Andres |
| collection | MIT |
| description | In this abstract, we present a case study in the application of a time-stepping method, unconstrained by the CFL condition, for computational acoustic wave propagation in the context of full waveform inversion. The numerical scheme is a locally one-dimensional (LOD) variant of alternating dimension implicit (ADI) method. The LOD method has a maximum time step that is restricted only by the Nyquist sampling rate. The advantage over traditional explicit time-stepping methods occurs in the presence of high contrast media, low frequencies, and steep, narrow perfectly matched layers (PML). The main technical point of the note, from a numerical analysis perspective, is that the LOD scheme is adapted to the presence of a PML. A complexity study is presented and an application to full waveform inversion is shown. |
| first_indexed | 2024-09-23T09:53:30Z |
| format | Technical Report |
| id | mit-1721.1/90532 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T09:53:30Z |
| publishDate | 2014 |
| publisher | Massachusetts Institute of Technology. Earth Resources Laboratory |
| record_format | dspace |
| spelling | mit-1721.1/905322019-04-12T22:12:31Z Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation Zepeda Nunez, Leonardo Andres Hewett, Russell J. Rao, Minghua Michel Demanet, Laurent Massachusetts Institute of Technology. Earth Resources Laboratory In this abstract, we present a case study in the application of a time-stepping method, unconstrained by the CFL condition, for computational acoustic wave propagation in the context of full waveform inversion. The numerical scheme is a locally one-dimensional (LOD) variant of alternating dimension implicit (ADI) method. The LOD method has a maximum time step that is restricted only by the Nyquist sampling rate. The advantage over traditional explicit time-stepping methods occurs in the presence of high contrast media, low frequencies, and steep, narrow perfectly matched layers (PML). The main technical point of the note, from a numerical analysis perspective, is that the LOD scheme is adapted to the presence of a PML. A complexity study is presented and an application to full waveform inversion is shown. National Science Foundation (U.S.); Alfred P. Sloan Foundation 2014-10-02T15:09:38Z 2014-10-02T15:09:38Z 2013 Technical Report http://hdl.handle.net/1721.1/90532 en_US Earth Resources Laboratory Industry Consortia Annual Report;2013-28 application/pdf Massachusetts Institute of Technology. Earth Resources Laboratory |
| spellingShingle | Zepeda Nunez, Leonardo Andres Hewett, Russell J. Rao, Minghua Michel Demanet, Laurent Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title | Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title_full | Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title_fullStr | Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title_full_unstemmed | Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title_short | Time-stepping beyond CFL: a locally one-dimensional scheme for acoustic wave propagation |
| title_sort | time stepping beyond cfl a locally one dimensional scheme for acoustic wave propagation |
| url | http://hdl.handle.net/1721.1/90532 |
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