Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners

V. Dolean, P. Jolivet, P.-H. Tournier, S. Operto

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Abstract

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 system of linear equations per frequency with multiple right-hand sides (sources). 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 (more than 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. In this study, we use the Krylov subspace GMRES iterative solver combined with a multi-level domain-decomposition preconditioner. Discretization relies on continuous finite elements on unstructured 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 acoustic 3D SEG/EAGE Overthrust model up to a frequency of 20~Hz and discuss its efficiency for multi right-hand side processing.
Original languageEnglish
Publication statusSubmitted - 14 Apr 2020
EventEAGE Annual 82nd Conference and Exhibition - Amsterdam, Netherlands
Duration: 8 Dec 202011 Dec 2020
https://eage.eventsair.com/eageannual2020/

Conference

ConferenceEAGE Annual 82nd Conference and Exhibition
CountryNetherlands
CityAmsterdam
Period8/12/2011/12/20
Internet address

Keywords

  • frequency-domain full-waveform inversion (FWI)
  • computational physics

Cite this

Dolean, V., Jolivet, P., Tournier, P-H., & Operto, S. (2020). Iterative frequency-domain seismic wave solvers based on multi-level domain-decomposition preconditioners. Paper presented at EAGE Annual 82nd Conference and Exhibition, Amsterdam, Netherlands.