1887

Abstract

Summary

This paper deals with the development of a domain integral equation method for target-oriented seismic waveform modelling in real media; that is, anisotropic, visco-elastic media that may or may not contain multiple sets of discrete fractures.

The new method is based on a decomposition of the actual medium into an arbitrary background medium and a corresponding perturbation that need not be small. We use a generalized T-matrix to solve a higher-dimensional Lippmann-Schwinger equation, which is equivalent to the equation of motion and the constitutive relation, but formulated in a higher-dimensional space, where time and space are treated on an equal footing. Renormalization methods are used to deal with strong contrasts in the stiffness and density fields. The numerical examples focus on fractured reservoirs, but the theory is general and potentially useful for the development of FWI methods for real media.

Loading

Article metrics loading...

/content/papers/10.3997/2214-4609.201412933
2015-06-01
2024-03-28
Loading full text...

Full text loading...

References

  1. Jakobsen, M. and Hudson, J.A.
    , 2003. Visco-elastic waves in rock-like composites. Studia Geophysica et Geodaetica, 47, 793–826.
    [Google Scholar]
  2. Jakobsen, M.
    , 2012. T-matrix approach to seismic forward modelling in the acoustic approximation. Studia Geophysica et Geodaetica, 56, 1–20.
    [Google Scholar]
  3. Jakobsen, M. and Ursin
    , 2012. Nonlinear seismic waveform inversion using a Born iterative T-matrix method. Expanded abstract, 82nd SEG meeting, Las Vegas.
    [Google Scholar]
  4. Pilskog, I., Lopez, M. and Jakobsen, M.
    , 2014. Linearized seismic waveform inversion for fracture parameters. Extended abstract, 16th International workshop on seismic anisotropy, Natal, Brazil.
    [Google Scholar]
  5. Thore, P. and Tarrassi, I.
    , 2010. Accurate modeling of fractured reservoir not using equivalent medium theory. Extended abstract, 72th EAGE meeting, Barcelona.
    [Google Scholar]
http://instance.metastore.ingenta.com/content/papers/10.3997/2214-4609.201412933
Loading
/content/papers/10.3997/2214-4609.201412933
Loading

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