Wide-azimuth surface seismic data contain valuable information about the fracture properties, such as crack density, fluid content and fracture direction. Although this information can be obtained from standard techniques such as tomographic velocity analysis or amplitude variation with offset and azimuth, full-waveform inversion (FWI) has the potential of higher-resolution fracture characterization. Building a wavefield-based inversion framework for the fracture parameters requires identifying parameter combinations that minimize trade-offs and ensure high-resolution of the results.

Using the Born approximation, which is the central ingredient of the FWI updating process, we derive the radiation patterns of different parameters of the effective orthorhombic medium formed by a vertical fracture set embedded in a VTI (transversely isotropic with a vertical symmetry axis) background. The radiation patterns describe the angular influence of each parameter, in the considered parametrization, on seismic data, and thus give insights into the resolution of the fracture properties. We show that the high-resolution recovery of crack density depends on the fracture infill, while the fracture direction might not be well-resolved because of the trade-off between different parameters.


Article metrics loading...

Loading full text...

Full text loading...


  1. Alkhalifah, T.
    [2003] An acoustic wave equation for orthorhombic anisotropy. Geophysics, 68(4), 1169–1172.
  2. [2015] Research note: Insights into the data dependency on anisotropy: an inversion prospective. Geophysical Prospecting, Published online.
    [Google Scholar]
  3. Alkhalifah, T. and Plessix, R.E.
    [2014] A recipe for practical full-waveform inversion in anisotropic media: An analytical parameter resolution study. Geophysics, 79(3), R91–R101.
    [Google Scholar]
  4. Bakulin, A., Grechka, V. and Tsvankin, I.
    [2000] Estimation of fracture parameters from reflection seismic data - Part II: Fractured models with orthorhombic symmetry. Geophysics, 65(6), 1803–1817.
    [Google Scholar]
  5. Hsu, C.J. and Schoenberg, M.
    [1993] Elastic waves through a simulated fractured medium. Geophysics, 58(7), 964–977.
    [Google Scholar]
  6. Masmoudi, N. and Alkhalifah, T.
    [2016] A new parametrization for waveform inversion in acoustic orthorhombic media. submitted to Geophysics, [Under review].
    [Google Scholar]
  7. Rüger, A. and Tsvankin, I.
    [1997] Using AVO for fracture detection: Analytic basis and practical solutions. The Leading Edge, 10, 1429–1434.
    [Google Scholar]
  8. Schoenberg, M.
    [1980] Elastic wave behavior across linear slip interfaces. The Journal of the Acoustical Society of America, 68(2), 1516–1521.
    [Google Scholar]
  9. Schoenberg, M. and Douma, J.
    [1988] Elastic wave propagation in media with parallel fractures and aligned cracks. Geophysical Prospecting, 36, 571–590.
    [Google Scholar]
  10. Tsvankin, I.
    [1997] Anisotropic parameters and P-wave velocity for orthorhombic media. Geophysics, 62(4), 1292–1309.
    [Google Scholar]

Data & Media loading...

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