Seismic inversion in the presence of noise

Bjorn Engquist (U of Texas, Austin)

May 17. 2022, 14:00 — 14:45

Seismic inversion is the process of using measurements of seismic waves on the surface of the earth to determine geophysical properties of the subsurface. This process is marginally ill-posed and naturally noise play an important role. We will analyze this role in the context of uncertainty quantification, Bayesian and frequency-based analysis. The particular setting we will consider is the recently popular, so-called Full Waveform Inversion, which in mathematical terms is PDE-constrained optimization. The objective or loss function in the optimization measures the mismatch between data and a forward wave equation. We will consider Sobolev norms and the Wasserstein metric from optimal transport to measure this mismatch.

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
Computational Uncertainty Quantification: Mathematical Foundations, Methodology & Data (Thematic Programme)
Organizer(s):
Clemens Heitzinger (TU Vienna)
Fabio Nobile (EPFL Lausanne)
Robert Scheichl (U Heidelberg)
Christoph Schwab (ETH Zürich)
Sara van de Geer (ETH Zürich)
Karen Willcox (U of Texas, Austin)