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Earth Mover’s Distance Based On Gradient Flow for Full Waveform Inversion
- Publisher: European Association of Geoscientists & Engineers
- Source: Conference Proceedings, 80th EAGE Conference and Exhibition 2018, Jun 2018, Volume 2018, p.1 - 5
Abstract
Summary
We introduce a fast numerical method to compute earth mover’s distance for full waveform inversion. The earth mover’s distance based on gradient flow formulation of two positive signals can be recast as an L1 type convex optimization problem and primal-dual method is applied to fast solve this problem. For signed seismic data, we introduce an effective strategy to decompose seismic data into positive part and negative part, then recombine signals to compute earth mover’s distance of the new two signals and apply them to full waveform inversion. Numerical examples have demonstrated that our method can mitigate local minima in full waveform inversion.
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