2001/04/02 by Guenther Hoermann, G. Hoermann, Maarten V. de Hoop +3
Computer Science · Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #46F10 #86A15 #FOS: Physical sciences #Image and Signal Denoising Methods #Mathematical Physics (math-ph) #Seismic Imaging and Inversion Techniques #Seismic Waves and Analysis #math-ph #math.MP #msc:46F10 #msc:86A15
paper · pdf · doi:10.48550/arxiv.math-ph/0104003
18 pages, 1 figure; corrected version
openalex publication_date 2001/04/02 · arxiv created 2001/05/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the mathematical aspects of wave field measurements used in traveltime inversion from seismograms. The primary information about the medium is assumed to be carried by the wave front set and its perturbation with repsect to a hypothetical background medium is to be estimated. By a convincing heuristics a detection procedure for this perturbation was proposed based on optimization of wave field correlations. We investigate its theoretical foundation in simple mathematical case studies using the distribution theoretic definition of oscillatory integrals.