Open AccessComparative Study of Acoustic Parameter Reconstruction by using Optimal Control Method and Inverse Scattering Approach
Author(s) -
Maxim Shishlenin,
Mohammad Izzatulah,
Nikita S. Novikov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2092/1/012004
Subject(s) - inverse problem , inverse scattering problem , conjugate gradient method , inversion (geology) , inverse , optimal control , scattering , computer science , mathematics , mathematical optimization , mathematical analysis , physics , optics , geometry , geology , paleontology , structural basin
Reconstruction of acoustic parameter such as acoustic velocity considers as part of inverse problems for mathematical physics and reasonable reconstruction of this parameter will assist solving interrelated problem such as inversion and imaging which are popular in the field of seismic imaging. In this work, we studied and conducted a comparative study between two methods; the optimal control method and inverse scattering approach. In optimal control method we are using conjugate gradient method for reconstructing the desired acoustic parameter while for inverse scattering approach, we are introducing the application of Marchenko integral equation. Furthermore, the numerical results for both approaches are presented for one dimensional problem along with the analysis from this comparative study.