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- Title
Iterative PDE-Constrained Optimization for Seismic Full-Waveform Inversion.
- Authors
Malovichko, M. S.; Orazbayev, A.; Khokhlov, N. I.; Petrov, I. B.
- Abstract
This paper presents a novel numerical method for the Newton seismic full-waveform inversion (FWI). The method is based on the full-space approach, where the state, adjoint state, and control variables are optimized simultaneously. Each Newton step is formulated as a PDE-constrained optimization problem, which is cast in the form of the Karush–Kuhn–Tucker (KKT) system of linear algebraic equitations. The KKT system is solved inexactly with a preconditioned Krylov solver. We introduced two preconditioners: the one based on the block-triangular factorization and its variant with an inexact block solver. The method was benchmarked against the standard truncated Newton FWI scheme on a part of the Marmousi velocity model. The algorithm demonstrated a considerable runtime reduction compared to the standard FWI. Moreover, the presented approach has a great potential for further acceleration. The central result of this paper is that it establishes the feasibility of Newton-type optimization of the KKT system in application to the seismic FWI.
- Subjects
NEWTON-Raphson method; LINEAR systems; MATHEMATICAL optimization; EQUESTRIANISM; FACTORIZATION; SEISMIC waves; SURFACE waves (Seismic waves)
- Publication
Computational Mathematics & Mathematical Physics, 2024, Vol 64, Issue 5, p954
- ISSN
0965-5425
- Publication type
Article
- DOI
10.1134/S0965542524700192