1887
  1. Home
  2. Conferences
  3. Conference Proceedings
  4. 76th EAGE Conference and Exhibition 2014
  5. Conference paper

Abstract

Summary

The result of multiparameter isotropic elastic linearized inversion carries information about the reflectivity of each of the three elastic parameters, but these reflectivities are cross-coupled, i.e., a perturbation in one of the elastic parameters appear as a cross talk in the reflectivity image of the other. We propose an efficient way to decouple the reflectivity images of the three elastic parameters reliably within a multiparameter frequency-domain linearized approach. This is achieved by computing selected elements of the Hessian matrix and subsequent construction of its approximate sparse inverse rather than the inverse of its sparse approximation. The resulting preconditioning matrix can be treated either as an improved imaging condition for multiparameter elastic reverse-time migration or as an efficient preconditioner for the conjugate gradient method. The numerical study shows the potential of the proposed preconditioning method and provides an insight into the best attainable resolution and quality of elastic reflectivity images in the context of linearized inversion.

© EAGE Publications BV
Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.20141158
2014-06-16
2024-04-24

  • From This Site

    /content/papers/10.3997/2214-4609.20141158
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Anikiev, D., Kashtan, B., and Mulder, W.A.
    [2013] Decoupling of elastic parameters with iterative linearized inversion. SEG, Expanded Abstracts, 3185–3190.
     [Google Scholar]
  2. Axelsson, O.
    [1996] Iterative solution methods. Cambridge University Press.
     [Google Scholar]
  3. Beydoun, W. B., and MendesM.
    [1989] Elastic ray-Born L2-migration/inversion. Geophys. J. Int., 97, 151–160.
     [Google Scholar]
  4. Fichtner, A.
    [2010] Full seismic waveform modelling and inversion. Springer Verlag.
     [Google Scholar]
  5. Hu, W., Abubakar, A., Habashy, T.M. and Liu, J.
    [2011] Preconditioned non-linear conjugate gradient method for frequency domain full-waveform seismic inversion. Geophys. J. Int., 59, 477–491.
     [Google Scholar]
  6. Kaporin, I. E.
    [2012] Using Chebyshev polynomials and approximate inverse triangular factorizations for preconditioning the conjugate gradient method. Comput. Math. and Math. Phys., 52(2), 169–193.
     [Google Scholar]
  7. Østmo, S., MulderW. A., and PlessixR.-E.
    [2002] Finite-difference iterative migration by linearized waveform inversion in the frequency domain. SEG, Expanded Abstracts, 1384–1387.
     [Google Scholar]
  8. Plessix, R.-E. and Mulder, W. A.
    [2004] Frequency-domain finite-difference amplitude-preserving migration. Geophys. J. Int., 157 (3), 975–987.
     [Google Scholar]
  9. Saad, Y., and van der Vorst, H. A.
    [2000] Iterative solution of linear systems in the 20th century. J. Comput. Appl. Math., 123, 1–33.
     [Google Scholar]
  10. Tarantola, A.
    [1986] A strategy for nonlinear elastic inversion of seismic reflection data. Geophysics, 51(10), 1893–1903.
     [Google Scholar]
  11. Wu, R., and Aki, K.
    [1985] Scattering characteristics of elastic waves by an elastic heterogeneity. Geophysics, 50(4), 582–595.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.20141158
Loading
Multiparameter Elastic Imaging Improved by Preconditioning with an Incomplete Inverse Hessian Approximation
Conference Proceedings 2014, 1 (2014); https://doi.org/10.3997/2214-4609.20141158
/content/papers/10.3997/2214-4609.20141158
/content/papers/10.3997/2214-4609.20141158
Loading

Data & Media loading...

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error