1887

Abstract

Summary

Inverse problems abound in many areas of science and engineering as a method to infer parameters of a given domain that, under certain mathematical relationships, produce results as observed. One of the state-of-the-art inversion techniques employed in seismic interpretation workflows is the Full Waveform Inversion algorithm. This is an iterative method based on both forward and backward steps aiming at the subsurface characterization by minimizing the mismatch between the computed wave field response and the measured response assuming an initial material distribution for the soil. This work presents a new approach for seismic inversion by proposing the application of Physics-Informed Neural Network (PINN) concept to solve the elastic wave equation for the estimation of petroelastic properties. Through two proof of concept numerical examples, we demonstrated the viability of our Machine Learning approach with some benefits compared to the standard methods, namely, small data dependency, better absorbing boundaries representation and, more efficient algorithm based on a single learning workflow that computes the wave field and the inverse parameters concurrently. It is worth mentioning that once trained with a large enough range of values for each material property, the Neural Network estimation can be straightforwardly extended for different site characterizations.

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/content/papers/10.3997/2214-4609.201901147
2019-06-03
2024-04-24
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References

  1. Baydin, A.G., Pearlmutter, B.A., Radul, A.A. and Siskind, J.M.
    [2017] Automatic Differentiation in Machine Learning: a Survey. Journal of Machine Learning Research, 18(1), 5595–5637.
    [Google Scholar]
  2. Clayton, R.W. and Engquist, B.
    [1977] Absorbing boundary conditions for acoustic and elastic wave equations. Bulletin of the Seismological Society of America, 67(6), 1529–1540.
    [Google Scholar]
  3. Hansen, T.M. and Cordua, K.S.
    [2017] Efficient Monte Carlo sampling of inverse problems using a neural network-based forward–applied to GPR crosshole traveltime inversion. Geophysical Journal International, 21(1), 1524–1533.
    [Google Scholar]
  4. Lahivaaraa, T., Karkkainen, L., Huttunen, J.M. and Hesthaven, J.S.
    [2018a] Deep convolutional neural networks for estimating porous material parameters with ultrasound tomography. The Journal of the Acoustical Society of America, 143(2), 1148–1158.
    [Google Scholar]
  5. Lahivaaraa, T., Pasanen, A., Karkkainen, L., Huttunen, J.M., Hesthaven, J.S. and Malehmir, A.
    [2018b] Estimation of groundwater storage from seismic data using deep learning.
    [Google Scholar]
  6. Nielsen, M.A.
    [2015] Neural Networks and Deep Learning. Determination Press.
    [Google Scholar]
  7. Raissi, M., Perdikaris, P. and Karniadakis, G.E.
    [2017a] Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.
    [Google Scholar]
  8. [2017b] Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.
    [Google Scholar]
  9. Wang, Y.
    [2017] Seismic inversion. John Wiley & Sons, 1 edn.
    [Google Scholar]
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