Journal
GEOPHYSICAL JOURNAL INTERNATIONAL
Volume 185, Issue 1, Pages 385-402Publisher
OXFORD UNIV PRESS
DOI: 10.1111/j.1365-246X.2011.04945.x
Keywords
Inverse theory; Seismic tomography; Computational seismology; Theoretical seismology; Wave scattering and diffraction; Wave propagation
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Funding
- Dutch National Science Foundation [NWO:VICI865.03.007]
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Wave front healing, in which diffractions interfere with directly travelling waves causing a reduction in recorded traveltime delays, has been postulated to cause a bias towards faster estimated earth models. This paper reviews the theory from the mathematical physics community that explains the properties of diffractions and applies it to a suite of increasingly complicated numerical examples. We focus in particular on the elastic case and on the differences between P and S healing. We find that rather than introducing a systemic fast bias, wave front healing gives a more complicated bias in the results of traveltime tomography, with fast anomalies even manifesting themselves as slow anomalies in some situations. Of particular interest, we find that a negative correlation between the bulk and shear or compressional velocities may result to a large extend from healing.
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