Forward Scattering and Volterra Renormalization for Acoustic Wavefield Propagation in Vertically Varying Media
Year: 2016
Author: Jie Yao, Anne-Cécile Lesage, Fazle Hussain, Donald J. Kouri
Communications in Computational Physics, Vol. 20 (2016), Iss. 2 : pp. 353–373
Abstract
We extend the full wavefield modeling with forward scattering theory and Volterra Renormalization to a vertically varying two-parameter (velocity and density) acoustic medium. The forward scattering series, derived by applying Born-Neumann iterative procedure to the Lippmann-Schwinger equation (LSE), is a well known tool for modeling and imaging. However, it has limited convergence properties depending on the strength of contrast between the actual and reference medium or the angle of incidence of a plane wave component. Here, we introduce the Volterra renormalization technique to the LSE. The renormalized LSE and related Neumann series are absolutely convergent for any strength of perturbation and any incidence angle. The renormalized LSE can further be separated into two sub-Volterra type integral equations, which are then solved non-iteratively. We apply the approach to velocity-only, density-only, and both velocity and density perturbations. We demonstrate that this Volterra Renormalization modeling is a promising and efficient method. In addition, it can also provide insight for developing a scattering theory-based direct inversion method.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.050515.210116a
Communications in Computational Physics, Vol. 20 (2016), Iss. 2 : pp. 353–373
Published online: 2016-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Author Details
-
Acoustic wave propagation and scattering in visco-acoustic medium: Integral equation representation and De Wolf approximation
Sun, Huachao | Sun, JianguoJournal of Applied Geophysics, Vol. 225 (2024), Iss. P.105394
https://doi.org/10.1016/j.jappgeo.2024.105394 [Citations: 0] -
Convergence acceleration in scattering series and seismic waveform inversion using nonlinear Shanks transformation
Eftekhar, Roya | Hu, Hao | Zheng, YingcaiGeophysical Journal International, Vol. 214 (2018), Iss. 3 P.1732
https://doi.org/10.1093/gji/ggy228 [Citations: 9] -
Volterra inverse scattering series method for one‐dimensional quantum barrier scattering
Chou, Chia‐Chun | Yao, Jie | Kouri, Donald J.International Journal of Quantum Chemistry, Vol. 117 (2017), Iss. 17
https://doi.org/10.1002/qua.25403 [Citations: 1] -
Acoustic 3D modeling by the method of integral equations
Malovichko, M. | Khokhlov, N. | Yavich, N. | Zhdanov, M.Computers & Geosciences, Vol. 111 (2018), Iss. P.223
https://doi.org/10.1016/j.cageo.2017.11.015 [Citations: 12] -
Homotopy scattering series for seismic forward modelling with variable density and velocity
Xiang, Kui | Eikrem, Kjersti Solberg | Jakobsen, Morten | Nævdal, GeirGeophysical Prospecting, Vol. 70 (2022), Iss. 1 P.3
https://doi.org/10.1111/1365-2478.13143 [Citations: 3] -
Three methods of visco‐acoustic migration based on the De Wolf approximation and comparison of their migration images
Sun, Huachao | Sun, Jianguo | Gao, ZhenghuiGeophysical Prospecting, Vol. (2024), Iss.
https://doi.org/10.1111/1365-2478.13637 [Citations: 0] -
An acoustic Lippmann-Schwinger inversion method: applications and comparison with the linear sampling method
Prunty, Aaron C | Snieder, Roel KJournal of Physics Communications, Vol. 4 (2020), Iss. 1 P.015007
https://doi.org/10.1088/2399-6528/ab6570 [Citations: 5] -
Lippmann-Schwinger equation representation of Green's function and its preconditioned generalized over-relaxation iterative solution in wavelet domain
Xu, Yangyang | Sun, Jianguo | Sun, HuachaoJournal of Applied Geophysics, Vol. 232 (2025), Iss. P.105570
https://doi.org/10.1016/j.jappgeo.2024.105570 [Citations: 0]