1887

Abstract

Summary

In this work we propose a new optimality criterion for the design of acquisition geometries in the context of Full Waveform Inversion, which is based on the wavenumber spectrum of the gradient. We suppose an acquisition is composed of Ns sources and Nr receivers and where each source is fired with all the receivers, generating Ns × Nr wavenumbers. We are looking for the positions of sources and receivers that would optimize the distribution of wavenumbers. We are able to outline the envelope of the wavenumber cloud so this allows us to define the underlying problem as an instance of Centroidal Voronoi Tessellation and to propose a new energy function to minimize. To illustrate our method we show the optimized geometry for surface, circular and in transmission types of acquisitions. We compare them and the wavenumber spectrum generated with the evenly-spaced equivalents. We also show the impact of the optimized acquisition on a gradient for the reconstruction of a scattering point in a homogeneous medium. The result of our optimization fulfills the criterion of optimal distribution of the wavenumbers and this has the consequence to produce gradients that are more focused at the position of the anomaly.

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/content/papers/10.3997/2214-4609.202310605
2023-06-05
2026-02-08
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References

  1. Curtis, A. [2004] Theory of model-based geophysical survey and experimental design. The Leading Edge, 23(10), 997–1004. Publisher: Society of Exploration Geophysicists.
    [Google Scholar]
  2. Krampe, V., Edme, P. and Maurer, H. [2021] Optimized experimental design for seismic full waveform inversion: A computationally efficient method including a flexible implementation of acquisition costs. Geophysical Prospecting, 69(1), 152–166. eprint: https://onlinelibrary.wiley.com/doi/pdf/10.1111/1365-2478.13040.
    [Google Scholar]
  3. Liu, Y., Wang, W., Lévy, B., Sun, F., Yan, D.M., Lu, L. and Yang, C. [2009] On Centroidal Voronoi TessellationEnergy Smoothness and Fast Computation. ACM Transactions on Graphics, 28(4), Article 101. Publisher: Association for Computing Machinery.
    [Google Scholar]
  4. Maurer, H., Greenhalgh, S. and Latzel, S. [2009] Frequency and spatial sampling strategies for crosshole seismic waveform spectral inversion experiments. GEOPHYSICS, 74(6), WCC79–WCC89. Publisher: Society of Exploration Geophysicists.
    [Google Scholar]
  5. Rabinowitz, N. and Steinberg, D.M. [1990] Optimal configuration of a seismographic network: A statistical approach. Bulletin of the Seismological Society of America, 80(1), 187–196.
    [Google Scholar]
  6. Wu, R. and Toksöz, M.N. [1987] Diffraction tomography and multisource holography applied to seismic imaging. GEOPHYSICS, 52(1), 11–25. Publisher: Society of Exploration Geophysicists.
    [Google Scholar]
  7. Yang, P., Brossier, R., Métivier, L., Virieux, J. and Zhou, W. [2018] A Time-Domain Preconditioned Truncated Newton Approach to Visco-acoustic Multiparameter Full Waveform Inversion. SIAM Journal on Scientific Computing. Publisher: Society for Industrial and Applied Mathematics.
    [Google Scholar]
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