Optimal Transport for Seismic Full Waveform Inversion

By Bjorn Engquist, Brittany D. Froese, Yunan Yang. 2016

158 citations recorded by the source corpus.

Full waveform inversion is a successful procedure for determining properties of the earth from surface measurements in seismology. This inverse problem is solved by a PDE constrained optimization where unknown coefficients in a computed wavefield are adjusted to minimize the mismatch with the measured data. We propose using the Wasserstein metric, which is related to optimal transport, for measuring this mismatch. Several advantageous properties are proved with regards to convexity of the objective function and robustness with respect to noise. The Wasserstein metric is computed by solving a Monge-Ampere equation. We describe an algorithm for computing its Frechet gradient for use in the optimization. Numerical examples are given.

Subfields: Geophysics

View Paper: https://www.semanticscholar.org/paper/2556d9eb37882549647e0cb408bba5cb239fd41a

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In Geophysics

1. Yunan Yang
2. Bjorn Engquist

Citations in the corpus

• Analysis of optimal transport and related misfit functions in full-waveform inversion (2017, methodology): “A recently introduced class of misfit functions is optimal transport related (Engquist and Froese, 2014; Engquist et al., 2016; Métivier et al., 2016a, 2016b; Yang et al., 2016).”