Interferometric inversion: a robust approach to linear inverse problems
Name
SEG-interferometric-13.pdf
Size
204.98 KB
Format
Adobe PDF
Checksum (MD5)
63f332c51dcbd1c9e950196d5b39a1bc
Author(s)
Jugnon, Vincent
Demanet, Laurent
Date Issued
2013
Journal
SEG Technical Program Expanded Abstracts 2013
Publisher
Society of Exploration Geophysicists
Citation
Jugnon, Vincent, and Laurent Demanet. “Interferometric Inversion: a Robust Approach to Linear Inverse Problems.” SEG Technical Program Expanded Abstracts 2013 (August 19, 2013).
Version
Author's final manuscript
Abstract
In this abstract, we present a new approach to linear wavebased inverse problems (e.g. inverse source, inverse Born scattering). Instead of looking directly at the data, we propose to match cross-correlations and other quadratic data combinations that generalize cross-correlations. This approach is expected to be robust to a wide variety of modeling uncertainties. In deriving a method to perform inversion using data pairs, a non-convex optimization problem is first advanced. It is then convexified by lifting the problem to a higher dimension space. The lifted problem is studied and sufficient conditions for invertibility are obtained. The lifted formulation is however too computationally intensive to be used for imaging, so a less-expansive non-convex approximation is considered. We illustrate the remarkable robustness of interferometric inversion numerically.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1190/SEGAM2013-1479.1
