Local inversion for linear seismic imaging (C01)

• Subject Area: Mathematics
• Term: since 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 258734477

In the inverse problem of seismology, we seek subsurface material parameters from measurements of reflected waves. By linearization we are led to an inverse problem for a class of generalized Radon transforms (GRT) where the sound speed is averaged over reflection isochrones. For this inverse problem, we have devised and microlocally analyzed fast and stable reconstruction schemes. In the final funding period, we will study the formation of artifacts in the reconstruction due to limited data, mapping properties of the GRT, and the numerical scheme. Based on these results we will mitigate the impact of artifacts and further advance our inversion algorithm.

• DFG Programme: Collaborative Research Centres
• Subproject of: SFB 1173: Wave phenomena: analysis and numerics
• Applicant Institution: Karlsruher Institut für Technologie
• Project Heads: Privatdozent Dr. Peer Christian Kunstmann; Professor Dr. Andreas Rieder