Time-stepping beyond CFL: A locally one-dimensional scheme for acoustic wave propagation
Author(s)
Zepeda Nunez, Leonardo Andres
Hewett, Russell
Demanet, Laurent
Rao, Minghua Michel
Date Issued
2013
Journal
SEG Technical Program Expanded Abstracts 2013
Publisher
Society of Exploration Geophysicists
Citation
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).
Version
Author's final manuscript
Abstract
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.
MIT Department
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
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1190/SEGAM2013-1299.1
