1887

Abstract

Summary

We present a novel parallel algorithm for acoustic field modeling in the frequency domain using the method of integral equation (IE). The IE method reduces the size of the problem by dividing the geologic model into the anomalous and background layered models. However, the matrix of the corresponding system of linear equations is dense. We use an efficient implementation of the matrix-vector multiplication, based on the fast Fourier transform (FFT), which made possible an application of an iterative solver to this dense system matrix. We have developed a parallel algorithm and studied its scalability on shared- and distributed-memory compute systems. The method was benchmarked by a comparison with a finite-difference solution. SEG/EAGE Overthrust model was used to evaluate the applicability of the algorithm to realistic seismic models.

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/content/papers/10.3997/2214-4609.201700773
2017-06-12
2024-04-19
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References

  1. Abubakar, A. and Habashy, T.
    (2013). Three-dimensional visco-acoustic modeling using a renormalized integral equation iterative solver. Journal of computational physics, 249. 1–12.
    [Google Scholar]
  2. Abubakar, A., Van Den Berg, P., and Fokkema, J.
    (2003). Towards non-linear inversion for characterization of time-lapse phenomena through numerical modelling. Geophysical Prospecting, 51(4).
    [Google Scholar]
  3. Avdeev, D.B., A.V.Kuvshinov, O.V.Pankratov, G.A.Newman
    , High-performance three-dimensional electromagnetic modelling using modified Neumann series. Wide-band numerical solution and examples., J. Geomag. Geoelectr., 49, 1519–1539, 1997.
    [Google Scholar]
  4. Fu, L.-Y.
    (2003). Numerical study of generalized Lippmann-Schwinger integral equation including surface topography. Geophysics, 68(2).
    [Google Scholar]
  5. Jakobsen, M. and Ursin, B.
    (2015). Full waveform inversion in the frequency domain using direct iterative T-matrix methods. Journal of Geophysics and Engineering, 12(3), 400–418.
    [Google Scholar]
  6. Malovichko, M., N.Khokhlov, N.Yavich, M.S.Zhdanov
    (2016), Quasi-analytical approximation for acoustic 3D full-waveform Inversion, Near Surface Geoscience 2016 - First Conference on Geophysics for Mineral Exploration and Mining.
    [Google Scholar]
  7. Wu, R.-S. and Toksoz, M. N.
    (1987). Diffraction tomography and multisource holography applied to seismic imaging. Geophysics, 52(1).
    [Google Scholar]
  8. Zhang, R. and Ulrych, T. J.
    (2000). Seismic forward modeling by integral equation and some practical considerations, chapter 593, pages 2329–2332, SEG Technical Program Expanded Abstracts.
    [Google Scholar]
  9. Zhdanov, M. S.
    (2002). Geophysical Inverse Theory and Regularization Problems. Elsevier, San Diego, CA.
    [Google Scholar]
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