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Abstract

Summary

Frequency-domain full-waveform inversion (FWI) is suitable for long-offset stationary-recording acquisition, since reliable subsurface models can be reconstructed with a few frequencies and attenuation is easily implemented without computational overhead. In the frequency domain, wave modelling is a Helmholtz-type boundary-value problem which requires to solve a large and sparse linear system per frequency with multiple right-hand sides. This system can be solved with direct or iterative methods. While the former are suitable for FWI application on 3D dense OBC acquisitions covering spatial domains of moderate size, the later should be the approach of choice for sparse node acquisitions covering large domains (> 50 millions of unknowns). Fast convergence of iterative solvers for Helmholtz problems remains however challenging due to the non definiteness of the Helmholtz operator, hence requiring efficient preconditioners. Here, we use the Krylov subspace GMRES iterative solver combined with a multi-level domain-decomposition preconditioner. Discretization relies on finite elements on tetrahedral meshes to comply with complex geometries and adapt the size of the elements to the local wavelength (h-adaptivity). We assess the convergence and the scalability of our method with the 3D SEG/EAGE Overthrust model up to a frequency of 20Hz and discuss its efficiency for multi right-hand side processing.

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/content/papers/10.3997/2214-4609.202011328
2020-12-08
2024-04-19

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http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.202011328
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Iterative Frequency-Domain Seismic Wave Solvers Based on Multi-Level Domain-Decomposition Preconditioners
Conference Proceedings 2020, 1 (2020); https://doi.org/10.3997/2214-4609.202011328
/content/papers/10.3997/2214-4609.202011328
/content/papers/10.3997/2214-4609.202011328
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