An iterative multilevel method for computing wavefields in frequency‐domain seismic inversion
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Numerical solver for seismic inversion; a computational method in geophysics, not research methodology as an object.
It develops a numerical method for seismic inversion rather than studying research practice.
Numerical multilevel solver for seismic inversion wavefields; geophysical computing, not metaresearch.
Abstract
We describe an iterative multilevel method for solving linear systems representing forward modeling and back propagation of wavefields in frequency‐domain seismic inversions. The workhorse of the method is the so‐called multilevel Krylov method, applied to a multigrid‐preconditioned linear system, and is called multilevel Krylov‐multigrid (MKMG) method. Numerical experiments are presented for 2D Marmousi synthetic model for a range of frequencies. The convergence of the method is fast, and depends only mildly on frequency. The method can be considered as the first viable alternative to LU factorization, which is practically prohibitive for 3D seismic inversions.
Stored with the screening record, where it is evidence for the labels above.
The record
- Venue
- Topic
- Seismic Imaging and Inversion Techniques
- Field
- Earth and Planetary Sciences
- Canadian institutions
- University of British Columbia
- Funders
- BG Group
- Keywords
- Multigrid methodComputer scienceSolverAlgorithmIterative methodFrequency domainInversion (geology)Computational scienceGeologySeismologyMathematicsMathematical analysisPartial differential equation
- Has abstract in OpenAlex
- yes