1887

Abstract

Summary

Full waveform inversion presents a number of algorithmic and computational challenges. Besides the bottlenecks associated with storage, communication and processing of large-scale system matrices, the key problem is that numerous local minima of the objective function make it hard to find a good solution even in the 2D case.

We tackle this problem with multi-scale simulation, where the novelty of our approach follows from multi-scaling coupled with dimensionality reduction. Compared to the traditional methodology based on regularization (which keeps problem dimensionality the same), the approach presented in this study is computationally more efficient yet less prone to local minimum. In this paper, we propose a solution to the inversion problem in 2D. The key issue in solving the inversion problem is how to avoid local minima in a reasonable time, given the often limited computational power. Multi-scaling appears to be the right way to tackle curse of dimensionality and numerous local minima. Our approach demonstrates novelty both in terms of algorithm design and parallel distributed implementation.

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/content/papers/10.3997/2214-4609.201601641
2016-05-30
2024-03-29
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References

  1. Fichtner, A.
    [2010] Full Seismic Waveform Modelling and Inversion. Advances in Geophysical and Environmental Mechanics and Mathematics, Springer.
    [Google Scholar]
  2. Parter, S. V.
    [1999] On the Legendre-Gauss-Lobatto Points and Weights, J. Sci. Comp., 14(4), 347–355.
    [Google Scholar]
  3. Kane, C., Marsden, J. E., Ortiz, M., and West, M.
    [2000] Variational Integrators and the Newmark Algorithm for Conservative and Dissipative Mechanical Systems, Int. J. Numer. Methods Engrg.49, 1295–1325.
    [Google Scholar]
  4. Krenk, S.
    [2006] Energy conservation in Newmark based time integration algorithms, Comput. Methods Appl. Mech. Engrg.195, 6110–6124.
    [Google Scholar]
  5. Virieux, J., Operto, S.
    [2009] An overview of full-waveform inversion in exploration geophysics, Geophysics74(6), 1–26.
    [Google Scholar]
  6. Tromp, J., Komattisch, D., and Liu, Q.
    [2008] Spectral-element and adjoint methods in seismology, Communications in Computational Physics3(1), 1–32.
    [Google Scholar]
  7. Peter, D., Komatitsch, D., Luo, Y., Martin, R., Le Goff, N., Casarotti, E., Nissen-Meyer, T.
    [2011] Forward and adjoint simulations of seismic wave propagation on fully unstructured hexahedral meshes. Geophysical Journal International, 186(2), 721–739.
    [Google Scholar]
  8. Monteiller, V., Chevrot, S., Komatitsch, D., Wang, Y.
    [2015] Three-dimensional full waveform inversion of short-period teleseismic wavefields based upon the SEM-DSM hybrid method. Geophysical Journal International, 202(2), 811–827.
    [Google Scholar]
  9. Fichtner, A., Bunge, H. P., Igel, H.
    [2006] The adjoint method in seismology, I. Theory. Physics of the Earth and Planetary Interiors, 157(1), 105–123.
    [Google Scholar]
  10. Munson, T., Sarich, J., Wild, S., Benson, S., and McInnes, L.C.
    [2015] TAO User Manual, Technical Memorandum ANL/MCS-TM-322, Argonne National Laboratory, Argonne, Illinois, http://www.mcs.anl.gov/petsc/petsc-current/docs/tao_manual.pdf
    [Google Scholar]
  11. Balay, S., Abhyankar, S., Adams, M.F., Brown, J., Brune, P., Buschelman, K., Dalcin, L., Eijkhout, V., Gropp, W.D., Kaushik, D., Knepley, M.G., McInnes, L.C., Rupp, K., Smith, B.F., Zampini, S. and Zhang, H.
    [2015] Portable, Extensible Toolkit for Scientific Computation, PETSc Users Manual, Argonne National Laboratory, http://www.mcs.anl.gov/petsc
    [Google Scholar]
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