Frequency-domain inversion using the amplitude of the derivative wavefield with respect to the angular frequency
Type
Conference PaperKAUST Department
Earth Science and Engineering ProgramEnvironmental Science and Engineering Program
Physical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2014-12-03Online Publication Date
2014-12-03Print Publication Date
2012-06-04Permanent link to this record
http://hdl.handle.net/10754/564512
Metadata
Show full item recordAbstract
The instantaneous traveltime based inversion was developed to solve the phase wrapping problem, thus generating long-wavelength structures even for a high single-frequency. However, it required aggressive damping to insure proper convergence. A reason for that is the potential for unstable division in the calculation of the instantaneous traveltime for low damping factors. Thus, we propose an inversion algorithm using the amplitude of the derivative wavefield to avoid the unstable division process. Since the amplitude of the derivative wavefield contains the unwrapped-phase information, its inversion has the potential to provide robust inversion results. On the other hand, the damping term rapidly diminishes the amplitude of the derivative wavefield at far source-receiver offsets. As an alternative, we suggest using the logarithmic amplitude of the derivative wavefield. The gradient of this inversion algorithm is obtained by the back-propagation approach, based on the adjoint-state technique. Numerical examples show that the logarithmic-amplitude approach yields better convergent results than the instantaneous traveltime inversion, whereas the pure-amplitude approach does not show much convergence.Citation
Choi, Y., & Alkhalifah, T. (2012). Frequency-domain Inversion Using the Amplitude of the Derivative Wavefield with Respect to the Angular Frequency. 74th EAGE Conference and Exhibition Incorporating EUROPEC 2012. doi:10.3997/2214-4609.20148731Publisher
EAGE PublicationsConference/Event name
74th European Association of Geoscientists and Engineers Conference and Exhibition 2012 Incorporating SPE EUROPEC 2012: Responsibly Securing Natural ResourcesISBN
9781629937908ae974a485f413a2113503eed53cd6c53
10.3997/2214-4609.20148731