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Abstract

Summary

Frequency-domain full waveform inversion (FWI) of fixed-spread data can be limited to a few discrete frequencies thanks to the redundant control of frequency and scattering angle on the wavenumber coverage. In this framework, 3D finite-difference frequency-domain seismic modeling can be efficiently performed for multiple sources in the visco-acoustic approximation with sparse direct solver. We extend the so-called mixed-grid finite-difference stencil to account for vertical transverse isotropy in visco-acoustic frequency-domain seismic modeling without extra computational cost. The VTI acoustic wave equation is recast as a fourth-order wave equation, which can be decomposed into an elliptic wave equation and an anelliptic term. The discretization of this equation only requires a straightforward adaptation of the existing isotropic stencil. A discretization rule of 4 grid points per minimum wavelength, which is suitable for FWI applications, is used for frequency-domain seismic modeling. We validate our finite-difference frequency-domain method against a finite-difference time-domain method using a smooth VTI acoustic model of the Valhall oil field. Comparison between the real and modeled data for the 7-Hz frequency suggests that our method can provide a suitable modeling engine to perform multi-parameter FWI of fixed-spread data in visco-acoustic VTI media.

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/content/papers/10.3997/2214-4609.20141526
2014-06-16
2024-04-27

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References

  1. Amestoy, P., Duff, I.S. and L’Excellent, J.Y.
    [2000] Multifrontal parallel distributed symmetric and unsymmetric solvers. Computer Methods in Applied Mechanics and Engineering, 184(2–4), 501–520.
     [Google Scholar]
  2. Brossier, R., Etienne, V., Operto, S. and Virieux, J.
    [2010] Frequency-domain numerical modelling of visco-acoustic waves based on finite-difference and finite-element discontinuous galerkin methods. In: Dissanayake, D.W. (Ed.)Acoustic Waves. SCIYO, ISBN 978-953-307-111-4, 125–158.
     [Google Scholar]
  3. Duveneck, E. and Bakker, P.M.
    [2011] Stable P-wave modeling for reverse-time migration in tilted TI media. Geophysics, 76(2), S65–S75.
     [Google Scholar]
  4. Hicks, G.J.
    [2002] Arbitrary source and receiver positioning in finite-difference schemes using kaiser windowed sinc functions. Geophysics, 67, 156–166.
     [Google Scholar]
  5. Jo, C.H., Shin, C. and Suh, J.H.
    [1996] An optimal 9-point, finite-difference, frequency-space 2D scalar extrapolator. Geophysics, 61, 529–537.
     [Google Scholar]
  6. Operto, S., Virieux, J., Amestoy, P., L’Éxcellent, J.Y., Giraud, L. and Ben Hadj Ali, H.
    [2007] 3D finite-difference frequency-domain modeling of visco-acoustic wave propagation using a massively parallel direct solver: A feasibility study. Geophysics, 72(5), SM195–SM211.
     [Google Scholar]
  7. Pratt, R.G.
    [1999] Seismic waveform inversion in the frequency domain, part I: theory and verification in a physic scale model. Geophysics, 64, 888–901.
     [Google Scholar]
  8. Wang, S., Xia, J., de Hoop, M.V. and Li, X.S.
    [2012] Massively parallel structured direct solver for equations describing time-harmonic qP-polarized waves in TTI media. Geophysics, 77(3), T69–T82.
     [Google Scholar]
  9. Weisbecker, C. et al.
    [2013] 3D frequency-domain seismic modeling with a block low-rank algebraic multifrontal direct solver. SEG Technical Program Expanded Abstracts 2007.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.20141526
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A Frequency-domain Seismic Modeling Engine for 3D Visco-acoustic VTI Full Waveform Inversion of Fixed-spread Data
Conference Proceedings 2014, 1 (2014); https://doi.org/10.3997/2214-4609.20141526
/content/papers/10.3997/2214-4609.20141526
/content/papers/10.3997/2214-4609.20141526
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