Abstract
We report the extension of the Volterra inverse acoustic scattering series (VISS) approach presented in (Lesage et al., 2013) using reflection data (Rk) to multi-dimensions. The approach consists in combining two ideas: the renormalization of the Lippmann-Schwinger equation to obtain a Volterra equation framework (Kouri and Vijay, 2003) and the formal series expansion using reflection coefficients (Moses, 1956). The benefit of formulating acoustic scattering in terms of a Volterra kernel is substantial. Indeed the corresponding Born-Neumann series solution is absolutely convergent independent of the strength of the coupling characterizing the interaction. While treating the depth variation in the same manner as in the onedimensional case, additional lateral and longitudinal variations are addressed through Fourier expansions of the pressure wave, the reflection data and the velocity perturbation. We derive new multi-dimensional inverse acoustic scattering series for reflection data which we evaluate numerically for 2-dimensional velocity models presenting depth and lateral variations. Our results compare well to results obtained by (Liu et al., 2005).
Original language | English (US) |
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Title of host publication | SEG Technical Program Expanded Abstracts 2014 |
Publisher | Society of Exploration Geophysicists |
Pages | 3118-3122 |
Number of pages | 5 |
Volume | 33 |
DOIs | |
State | Published - 2014 |
Event | Society of Exploration Geophysicists: 2014 Annual Meeting - Denver, United States Duration: Oct 26 2014 → Oct 31 2014 |
Conference
Conference | Society of Exploration Geophysicists |
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Abbreviated title | SEG |
Country/Territory | United States |
City | Denver |
Period | 10/26/14 → 10/31/14 |
ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Geophysics