A multigrid-based iterative solver for the frequency-domain elastic wave equation

Conference paper (2015)
Department
Geoscience & Engineering (CEG) (TU Delft)
Copyright: © 2015 The Author(s)
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Published Date

01-06-2015

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Source:

77th EAGE Conference and Exhibition 2015, Madrid, Spain, 1-4- June 2015

Faculty

Civil Engineering and Geosciences

Department

Geoscience & Engineering

Abstract

Efficient numerical wave modelling is essential for imaging methods such as reverse-time migration (RTM) and full waveform inversion (FWI). In 2D, frequency-domain modelling with LU factorization as a direct solver can outperform time-domain methods by one order. For 3-D problems, the computational complexity of the LU factorization as well as its memory requirements are a disadvantage and the time domain becomes more attractive. Recently, it has been shown that with compute cores in abundance, a parallel frequency-domain iterative solver can be a competitive alternative to the time-domain approach for 3-D acoustic RTM. The solver relies on a preconditioned Krylov subspace method, where the preconditioner involves the multigrid solution of a heavily damped wave equation. Here, we generalize this idea to the isotropic elastic wave equation in the frequency domain.

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