Orthorhombic anisotropy arises when a system of vertical fractures is embedded in, an otherwise, finely layered medium. Arbitrary orthorhombic elastic anisotropy is often characterized by ten independent parameters, including density. In the best of circumstances, only six of these parameters can be inverted from P-P scattered energy, reliably. Thus, we evaluate the potential for additional information from converted waves. We, specifically, remap the scattering radiation patterns from the conventional elastic coefficients, as well as what we deemed recently as the hierarchical parameterization, into the spatial wavenumber domain, to analyze the tradeoffs between and the resolution involved in illuminating the orthorhombic parameters.

It turns out that P-SV waves alone can, principally, lead to the reconstruction of eight parameters -- everything except for V_p and Y. Together with P-waves, we can also invert for V_p, and finally with P-SH waves when can theoretically reconstruct all orthorhombic elastic parameters.

We show how the information from different wavetypes combines in the inversion and that all ten parameters can be reconstructed if converted waves are used in the inversion together with P-waves.


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  1. Alkhalifah, T. and Tsvankin, I.
    [1995] Velocity analysis for transversely isotropic media. GEOPHYSICS, 60(5), 1550–1566.
    [Google Scholar]
  2. Devaney, A.J.
    [1984] Geophysical Diffraction Tomography. IEEE Transactions on Geoscience and Remote Sensing, GE-22(1), 3–13.
    [Google Scholar]
  3. Eaton, D.W.S. and Stewart, R.R.
    [1994] Migration/inversion for transversely isotropic elastic media. Geophysical Journal International, 119(2), 667–683.
    [Google Scholar]
  4. Grechka, V., Theophanis, S. and Tsvankin, I.
    [1999] Joint inversion of P- and PS-waves in orthorhombic media: Theory and a physical modeling study. GEOPHYSICS, 64(1), 146–161.
    [Google Scholar]
  5. de Hoop, M.V., Spencer, C. and Burridge, R.
    [1999] The resolving power of seismic amplitude data: An anisotropic inversion/migration approach. Geophysics, 64(3), 852–873.
    [Google Scholar]
  6. Hudson, J. and Heritage, J.
    [1981] The use of the Born approximation in seismic scattering problems. Geophysical Journal International, 66(1), 221–240.
    [Google Scholar]
  7. Kazei, V. and Alkhalifah, T.
    [2017] On the Resolution of Inversion for Orthorhombic Anisotropy. In: 79th EAGE Conference and Exhibition 2017.
    [Google Scholar]
  8. Kazei, V., Troyan, V., Kashtan, B. and Mulder, W.
    [2013] On the role of reflections, refractions and diving waves in full-waveform inversion. Geophysical Prospecting, 61(6), 1252–1263.
    [Google Scholar]
  9. Mora, P.
    [1989] Inversion = migration + tomography. Geophysics, 54(12), 1575–1586.
    [Google Scholar]
  10. Oh, J.W. and Alkhalifah, T.
    [2016] Elastic orthorhombic anisotropic parameter inversion: An analysis of parameterization. GEOPHYSICS, 81(6), C279–C293.
    [Google Scholar]
  11. Podgornova, O., Leaney, S., Liang, L. et al.
    [2015] Analysis of resolution limits of VTI anisotropy with full waveform inversion. In: 2015 SEG Annual Meeting. Society of Exploration Geophysicists.
    [Google Scholar]
  12. Schoenberg, M. and Helbig, K.
    [1997] Orthorhombic media: Modeling elastic wave behavior in a vertically fractured earth. Geophysics, 62(6), 1954–1974.
    [Google Scholar]
  13. Shaw, R.K. and Sen, M.K.
    [2004] Born integral, stationary phase and linearized reflection coefficients in weak anisotropic media. Geophysical Journal International, 158(1), 225–238.
    [Google Scholar]
  14. Snieder, R.
    [2002] Chapter 1.7.1 - General Theory of Elastic Wave Scattering. In: Pike, R. and Sabatier, P. (Eds.) Scattering, Academic Press, London, 528–542.
    [Google Scholar]
  15. Tsvankin, I.
    [1997] Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 62(4), 1292–1309.
    [Google Scholar]

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