1991
DOI: 10.1190/1.1443083
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Nonlinear waveform inversion of plane‐wave seismograms in stratified elastic media

Abstract: We present a method for determining the elastic parameters of a horizontally stratified medium from its plane-wave reflectivity. The nonlinear inverse problem is iteratively solved by using a generalized leastsquares formalism. The proposed method uses the (relatively) fast convergence properties of the conjugate gradient algorithm and achieves computational efficiency through analytical solutions for calculating the reference and perturbational wavefields. The solution method is implemented in the frequency-w… Show more

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Cited by 71 publications
(56 citation statements)
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“…For the remainder of this paper we explore an alternative explanation for the origin of the bright spots that is consistent with their distribution and the history of shelf glaciation. data set using the linearized waveform inversion approach of Kormendi and Dietrich [1991]. This type of analysis has been extensively described in the literature, and our particular approach closely follows that of Korenaga et al [1997], so we have placed details of our analysis in Appendix A.…”
Section: Data Description and Observationsmentioning
confidence: 99%
See 1 more Smart Citation
“…For the remainder of this paper we explore an alternative explanation for the origin of the bright spots that is consistent with their distribution and the history of shelf glaciation. data set using the linearized waveform inversion approach of Kormendi and Dietrich [1991]. This type of analysis has been extensively described in the literature, and our particular approach closely follows that of Korenaga et al [1997], so we have placed details of our analysis in Appendix A.…”
Section: Data Description and Observationsmentioning
confidence: 99%
“…We follow the methods of Kormendi and Dietrich [1991], which apply the Fréchet derivatives of Dietrich and Kormendi [1990] and use a conjugate gradient algorithm to iteratively solve the nonlinear inverse problem.…”
Section: Appendix A: Full-waveform Inversion Modelingmentioning
confidence: 99%
“…In the Gauss-Newton method, a locally linear misfit functional is assumed (Kormendi & Dietrich, 1991;Menke, 1989;Aster et al, 2005), which allows the second order term of the Hessian to be dropped (Virieux & Operto, 2009). We obtain explicitly the sensitivity matrix J by perturbing each model parameter at each layer depth; the resulting partial derivative wavefield is propagated from the secondary virtual sources to the receivers' position (Rodi, 1976;Sheen et al, 2006;Operto et al, 2013).…”
Section: Gauss-newton Seismic Inversionmentioning
confidence: 99%
“…The most desirable parametrisation guarantees the minimum crosstalk among the unknowns of the inversion (Tarantola, 1986;Kormendi & Dietrich, 1991); ideally, the partial derivative wavefield of one parameter should be uncorrelated with the residual wavefield produced by each other independent parameter (Tarantola, 1986;Operto et al, 2013). In marine reflection seismic data, the presence of only one propagation mode impedes the opportunity to obtain independent estimates of P-wave (Vp) and S-wave velocity (Vs) (Jin et al, 1992;Igel et al, 1996); on the other hand, density is strongly coupled with P-wave velocity at narrow reflection angle; the two parameters can't be effectively resolved and in fact yield a posterior reconstruction of the P-impedance model (Tarantola, 1986;Operto et al, 2013).…”
Section: A Strategy For the Multi-parameter Problemmentioning
confidence: 99%
“…The full waveform inversion method is described in detail by Kormendi and Dietrich [1991], and more details on the inversion procedure can be found in , , and Minshull et al [1994]. We give only a brief outline here.…”
Section: Full Waveform Inversionmentioning
confidence: 99%