1987
DOI: 10.1029/gl014i010p01046
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Waveform inversion using secondary observables

Abstract: A new method is proposed for inverting single‐station surface‐wave seismograms. Instead of inverting directly the time‐signal, use is made of secondary observables built up from a set of time‐frequency images. This allows us to enhance the signal‐to‐noise ratio and to make more linear the relationship between the model parameters and the inverted observables. The feasibility of the method is checked on multimode synthetics prior to present the inversion of a long‐period multimode seismogram related to the Paci… Show more

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Cited by 130 publications
(118 citation statements)
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“…However, each path has a path-specific crustal model determined by averaging the crustal part of 3SMAC along the path. Cara and Lévêque (1987) show that for their technique, the final velocity structure is weakly dependent on the reference model. In addition, at 50 s period the maximum sensitivity of even the fundamental mode is located below the crust, so that our dataset is primarily sensitive to upper mantle structure.…”
Section: Seismic Constraints On the Upper Mantle Beneath Southern Africamentioning
confidence: 99%
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“…However, each path has a path-specific crustal model determined by averaging the crustal part of 3SMAC along the path. Cara and Lévêque (1987) show that for their technique, the final velocity structure is weakly dependent on the reference model. In addition, at 50 s period the maximum sensitivity of even the fundamental mode is located below the crust, so that our dataset is primarily sensitive to upper mantle structure.…”
Section: Seismic Constraints On the Upper Mantle Beneath Southern Africamentioning
confidence: 99%
“…We first use the automated version (Debayle, 1999) of the Cara and Lévêque (1987) waveform inversion technique to determine a onedimensional (1D) path average upper mantle velocity model compatible with an observed surface wave seismogram. We then combine the 1D velocity models in a tomographic inversion using the continuous regionalization algorithm of Montagner (1986) as modified by Debayle and Sambridge (2004) to obtain at each depth (50 to 400 km in steps of 25 km) the local Sv-wave speed (see Debayle and Kennett (2000a) for details).…”
Section: Seismic Constraints On the Upper Mantle Beneath Southern Africamentioning
confidence: 99%
“…Including overtones in the tomography not only constrains deeper structure better than does the fundamental mode, the overtones improve resolution at shallower depths. An advantage in using the Debayle & Ricard (2012) implementation of the Cara & Lévêque (1987) method over other automated waveform inversion procedures is that it does not require separating the fundamental mode and overtones into unique time windows before making the wave speed measurements since the observed seismogram is modelled as a sum of interfering modes.…”
Section: Extracting Structure Of the Upper Mantlementioning
confidence: 99%
“…Extracting the secondary observables (Cara & Lévêque 1987) and inverting them for the path average velocity structure follows closely the method employed by Debayle & Ricard (2012) but adapted to transverse component seismograms. The secondary observables are measured using cross-correlation.…”
Section: Extracting and Fitting The Secondary Observablesmentioning
confidence: 99%
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