Reconciling seismic AVO and precritical reflection FWI - Analysis of the inverse Hessian

Innanen, Kristopher A.

doi:10.1190/segam2014-0588.1

Cited by 10 publications

(3 citation statements)

References 22 publications

(21 reference statements)

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“…One possible recourse is target-oriented FWI, in which we only need to calculate one portion of the multiparameter Hessian aiming at the target area. We could potentially also restrict the inverse Hessian construction to the diagonal elements of the off-diagonal blocks, i.e., the parameter-type approximation (Innanen, 2014a) for reducing the computational cost, for which an adjoint-state method would need to be developed. Phase-encoding methods have been widely studied for calculating the gradient (Vigh and Starr, 2008;Tang, 2009;Anagaw and Sacchi, 2014;Pan et al, 2014a) or Hessian approximations (Castellanos et al, 2015).…”

Section: Discussionmentioning

confidence: 99%

“…The off-diagonal blocks in multiparameter approximate Hessian, as indicated by the gray boxes in Figure 4, predict the coupling effects and applying its inverse to the gradient can remove or mitigate the parameter crosstalk. The space-type multiparameter Hessian approximationH s given by Innanen (2014a) neglects the contributions of the off-diagonal blocks and stresses the correlation of Fréchet derivative wavefields with respect to the same physical parameter, as indicated by the four black diagonal boxes in Figure 4. This approximation can scale the amplitudes of the gradient and deblur the gradient, but cannot suppress parameter crosstalk.…”

Section: Multiparameter Hessianmentioning

confidence: 99%

“…Inverting multiple parameters using multiparameter FWI has also, however, received increased attention in recent years though it is a more challenging task. Involving several parameters increases the nonlinearity of the inversion process and also introduces parameter crosstalk, the conflation of the influence of one physical property on the data with another Prieux et al, 2013;Baumstein, 2014;Innanen, 2014a;Métivier et al, 2015;Oh et al, 2015). Parameter crosstalk is strongly present in steepest-descent method, wherein updates in each parameter proceed with no accounting for the multiparameter character of the problem.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Estimation of elastic constants in HTI media using Gauss-Newton and Full-Newton multi-parameter full waveform inversion

Pan

Innanen

Margrave

et al. 2015

SEG Technical Program Expanded Abstracts 2015

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Section: Discussionmentioning

confidence: 99%

Section: Multiparameter Hessianmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Estimation of elastic constants in HTI media using Gauss-Newton and Full-Newton multi-parameter full waveform inversion

Pan

Innanen

Margrave

et al. 2015

SEG Technical Program Expanded Abstracts 2015

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Efficient pseudo-Gauss-Newton full-waveform inversion in the τ-p domain

et al. 2015

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Full-waveform inversion (FWI) seeks to estimate subsurface elastic properties by iterative minimization of the difference between synthetic and observed data. Its industrial application suffers from several well-defined obstacles, including high computational cost, slow convergence rate, and the phenomenon of cycle skipping. We have developed an efficient [Formula: see text] domain waveform inversion aimed at reducing the computational burden of FWI with a phase-encoding technique. The gradient is constructed in the [Formula: see text] domain using linear phase-encoding, and a slant update strategy further reduces the computational burden. Poorly scaled and blurred gradient updates can be enhanced using exact or approximate versions of the inverse Hessian, which leads to a faster convergence rate. We developed a new chirp phase-encoding strategy for diagonal Hessian construction. Preconditioning the gradient using the diagonal phase-encoded approximate Hessian forms what we refer to as a pseudo-Gauss-Newton (PGN) step. To test the effectiveness of the [Formula: see text]-domain FWI, the strategies were enacted on a modified Marmousi model. We compared the computational cost of the PGN method with traditional methods, and we evaluated the quality of the inversion results. The PGN method can get a better inversion result with the same computational cost. We have also analyzed the effects of different ray parameter settings and the influence of source spacing, and we compared different preconditioning methods for [Formula: see text]-domain FWI.

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Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion

et al. 2016

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In seismic full-waveform inversion (FWI), subsurface parameters are estimated by iteratively minimizing the difference between the modeled and the observed data. We have considered the problem of estimating the elastic constants of a fractured medium using multiparameter FWI and modeling naturally fractured reservoirs as equivalent anisotropic media. Multiparameter FWI, although promising, remains exposed to a range of challenges, one being the parameter crosstalk problem resulting from the overlap of Fréchet derivative wavefields. Parameter crosstalk is strongly influenced by the form of the scattering pattern for each parameter. We have derived 3D radiation patterns associated with scattering from a range of elastic constants in general anisotropic media. Then, we developed scattering patterns specific to a horizontal transverse isotropic (HTI) medium to draw conclusions about parameter crosstalk in FWI. Bare gradients exhibit crosstalk, as well as artifacts caused by doubly scattered energy in the data residuals. The role of the multiparameter Gauss-Newton (GN) Hessian in suppressing parameter crosstalk is revealed. We have found that the second-order term in the multiparameter Hessian, which is associated with multiparameter second-order scattering effects, can be constructed with the adjoint-state technique. We have examined the analytic scattering patterns for HTI media with a 2D numerical example. We have examined the roles played by the first-and second-order terms in multiparameter Hessian to suppress parameter crosstalk and second-order scattering artifacts numerically. We have also compared the multiparameter GN and full-Newton methods as methods for determining the elastic constants in HTI media with a two-block-layer model.

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Reconciling seismic AVO and precritical reflection FWI - Analysis of the inverse Hessian

Cited by 10 publications

References 22 publications

Estimation of elastic constants in HTI media using Gauss-Newton and Full-Newton multi-parameter full waveform inversion

Estimation of elastic constants in HTI media using Gauss-Newton and Full-Newton multi-parameter full waveform inversion

Efficient pseudo-Gauss-Newton full-waveform inversion in the τ-p domain

Estimation of elastic constants for HTI media using Gauss-Newton and full-Newton multiparameter full-waveform inversion

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