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...
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| Format: | Article |
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Society of Exploration Geophysicists
2018
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| Online Access: | http://hdl.handle.net/1721.1/115515 https://orcid.org/0000-0001-7052-5097 |
| _version_ | 1826216997836292096 |
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| author | Zepeda Nunez, Leonardo Andres Hewett, Russell Demanet, Laurent Rao, Minghua Michel |
| author2 | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences |
| author_facet | Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Zepeda Nunez, Leonardo Andres Hewett, Russell Demanet, Laurent Rao, Minghua Michel |
| 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 | 2024-09-23T16:56:25Z |
| format | Article |
| id | mit-1721.1/115515 |
| institution | Massachusetts Institute of Technology |
| last_indexed | 2024-09-23T16:56:25Z |
| publishDate | 2018 |
| publisher | Society of Exploration Geophysicists |
| record_format | dspace |
| spelling | mit-1721.1/1155152022-10-03T09:17:13Z Time-stepping beyond CFL: A locally one-dimensional scheme for acoustic wave propagation Zepeda Nunez, Leonardo Andres Hewett, Russell Demanet, Laurent Rao, Minghua Michel Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences Massachusetts Institute of Technology. Department of Mathematics Massachusetts Institute of Technology. Earth Resources Laboratory Zepeda Nunez, Leonardo Andres Hewett, Russell Demanet, Laurent Rao, Minghua Michel 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. TOTAL (Firm) Alfred P. Sloan Foundation National Science Foundation (U.S.) 2018-05-18T20:31:44Z 2018-05-18T20:31:44Z 2013 2018-05-17T17:57:28Z Article http://purl.org/eprint/type/ConferencePaper 1949-4645 http://hdl.handle.net/1721.1/115515 Nunez, Leonardo Zepeda, Russell J. Hewett, Laurent Demanet, and Minghua Michel Rao. “Time-Stepping Beyond CFL: A Locally One-Dimensional Scheme for Acoustic Wave Propagation.” SEG Technical Program Expanded Abstracts 2013 (August 19, 2013). https://orcid.org/0000-0001-7052-5097 http://dx.doi.org/10.1190/SEGAM2013-1299.1 SEG Technical Program Expanded Abstracts 2013 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Society of Exploration Geophysicists MIT Web Domain |
| spellingShingle | Zepeda Nunez, Leonardo Andres Hewett, Russell Demanet, Laurent Rao, Minghua Michel 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/1721.1/115515 https://orcid.org/0000-0001-7052-5097 |
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