1993/10/01 by Jean-Jacques Lévěque, Jean‐Jacques Lévêque, Luis Rivera +2 · 5 citations
Earth and Planetary Sciences · #High-pressure geophysics and materials #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis
paper · pdf · doi:10.1111/j.1365-246x.1993.tb05605.x
openalex publication_date 1993/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
This note is devoted to the confrontation of intuitive ideas in the field of inverse problems, especially in tomographic seismological studies, with the results of a more rigorous approach. With the help of a simple example, we show that tests commonly used to illustrate the quality of inversion results can be misleading. Based on a classical mathematical analysis, we explain the origin of the problems that we have seen. Our main conclusion is that, in circumstances not so unrealistic, and in contradiction to a generally idea, small-size structures like in the ‘checker-board test’ can be well retrieved while larger structures are poorly retrieved.