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Exact wave field simulation for finite-volume scattering problems.

Dirk-Jan van Manen1, Johan O A Robertsson, Andrew Curtis

  • 1WesternGeco London Technology Centre, Schlumberger House, Buckingham Gate, Gatwick, West Sussex, RH6 0NZ, United Kingdom.

The Journal of the Acoustical Society of America
|October 2, 2007
PubMed
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This study introduces an exact boundary condition for acoustic scattering problems. It efficiently decouples wave propagation in perturbed domains, avoiding full model recalculations for improved computational speed.

Area of Science:

  • Acoustic wave propagation
  • Computational physics
  • Numerical methods

Background:

  • Scattering problems in inhomogeneous acoustic media are computationally intensive.
  • Modeling spatially limited perturbations requires accurate boundary conditions.
  • Existing methods often necessitate recalculating wave fields on the entire domain.

Purpose of the Study:

  • To develop an exact boundary condition for acoustic scattering problems.
  • To decouple wave propagation on perturbed domains from the background model.
  • To enhance computational efficiency by avoiding full model wave field regeneration.

Main Methods:

  • An exact boundary condition is derived for spatially limited perturbations.
  • Kirchhoff-type integral extrapolation is used to update the boundary condition dynamically.

Related Experiment Videos

  • Wave field interferometry is employed for efficient Green's function computation in the background model.

    • Main Results:

    • The proposed boundary condition successfully decouples wave propagation on the perturbed domain.
    • All interactions with the background model are preserved.
    • The method eliminates the need to regenerate the wave field response on the full model, significantly reducing computational cost.

    Conclusions:

    • The presented exact boundary condition offers a computationally efficient solution for acoustic scattering problems with perturbations.
    • This approach streamlines simulations by focusing computation on the perturbed region.
    • The method is applicable to generally inhomogeneous acoustic media.