Wave-equation reflection traveltime inversion

Sanzong Zhang, Gerard T. Schuster, Yi Luo

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

The main difficulty with iterative waveform inversion using a gradient optimization method is that it tends to get stuck in local minima associated within the waveform misfit function. This is because the waveform misfit function is highly nonlinear with respect to changes in the velocity model. To reduce this nonlinearity, we present a reflection traveltime tomography method based on the wave equation which enjoys a more quasi-linear relationship between the model and the data. A local crosscorrelation of the windowed downgoing direct wave and the upgoing reflection wave at the image point yields the lag time that maximizes the correlation. This lag time represents the reflection traveltime residual that is back-projected into the earth model to update the velocity in the same way as wave-equation transmission traveltime inversion. No travel-time picking is needed and no high-frequency approximation is assumed. The mathematical derivation and the numerical examples are presented to partly demonstrate its efficiency and robustness. © 2011 Society of Exploration Geophysicists.
Original languageEnglish (US)
Pages (from-to)2705-2710
Number of pages6
JournalSEG Technical Program Expanded Abstracts 2011
Volume30
Issue number1
DOIs
StatePublished - May 25 2012

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Geophysics

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