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A DIRECT PROBING METHOD OF AN INVERSE PROBLEM FOR THE EIKONAL EQUATION.
- Source :
-
SIAM Journal on Scientific Computing . 2024, Vol. 46 Issue 2, pA1235-A1251. 17p. - Publication Year :
- 2024
-
Abstract
- In this paper, we propose a direct probing method to solve the inverse problem of the Eikonal equation. This problem involves the determination of the inhomogeneous wave-speed distribution from first-arrival time data at measurement surfaces corresponding to distributed point sources. The viscosity solution of the point-source Eikonal equation represents the least traveltime of wave fields from the source to the point at the high-frequency limit. We show that this inverse problem is highly ill-posed. To address this issue, we develop a direct probing method that incorporates solution analysis of the Eikonal equation and several aspects of the velocity models. Specifically, we use the filtered back-projection method to reconstruct the inhomogeneous wave-speed distribution when it has a small variation from the homogeneous medium. For the scenarios involving highcontrast media, we assume a background medium and develop an adjoint-based back-projection method to identify the variations of the medium from the assumed background. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10648275
- Volume :
- 46
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Scientific Computing
- Publication Type :
- Academic Journal
- Accession number :
- 177070170
- Full Text :
- https://doi.org/10.1137/23M1577390