1887

Abstract

Summary

Producing seismic wave speed models of the Earth's interior with full uncertainty estimates is a grand challenge of geophysics. It is relatively easy to produce uncertainty estimates by linearising (approximating) the nonlinear physics relating models to data, but in strongly nonlinear problems such estimates can be almost worthless. Nonlinear solutions are usually calculated using Monte Carlo methods, requiring weeks of computation due to the high dimensionality of parameter spaces. In addition, using seismic interferometry to obtain reliable surface wave dispersion data from ambient noise often requires several days of recordings.

Clearly both recording and computation timescales must be reduced dramatically to allow ambient noise tomography in near-real time. Recording times must be reduced by changing methods used to obtain dispersion curves. Computation time is constrained by two mathematical results: the ‘curse of dimensionality’ precludes exhaustive Monte Carlo search in high-dimensional parameter spaces, and “No-Free-Lunch” theorems state that improvements over exhaustive search require substantial additional a priori information. Nevertheless, we show that recording times can be reduced to the order of minutes, and that common a priori physical assumptions plus a separation of up-front and real-time computation allow 3D velocity models and uncertainties to be obtained in less than an hour.

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/content/papers/10.3997/2214-4609.201901993
2019-06-03
2024-04-19
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References

  1. Bodin, T. & Sambridge, M.
    , 2009. Seismic tomography with the reversible jump algorithm. Geophys. J. Int., 178 (3), 1411–1436
    [Google Scholar]
  2. Curtis, A. and Lomax, A.
    , 2001. Prior information, sampling distributions and the curse of dimensionality. Geophysics, 66, 372–378
    [Google Scholar]
  3. Curtis, A. and Robertsson, J.
    , 2002. Volumetric wavefield recording and near-receiver group velocity estimation for land seismics. Geophysics, 67 (5), 1602–1611
    [Google Scholar]
  4. Curtis, A., Gerstoft, P., Sato, H., Snieder, R., and Wapenaar, K.
    , 2006. Seismic Interferometry - Turning Noise into Signal. The Leading Edge, Vol. 25(9), pp.1082–1092.
    [Google Scholar]
  5. de Ridder, S. and Biondi, B.
    , 2015. Near-surface Scholte wave velocities at ekofisk from short noise recordings by seismic noise Gradiometry. Geophys. Res. Lett., 42 (17), 7031–7038.
    [Google Scholar]
  6. Meier, U., Curtis, A.
    , Trampert, J., 2007a. A global crustal model constrained by non-linearised inversion of fundamental mode surface waves. Geophys. Res. Lett., Vol. 34, L16304
    [Google Scholar]
  7. Meier, U., Curtis, A., Trampert, J.
    , 2007b. Global crustal thickness from neural network inversion of surface wave data. Geophys. J. Int., Vol. 169, pp.706–722.
    [Google Scholar]
  8. Nicolson, H., Curtis, A. and Baptie, B.
    , 2014. Rayleigh Wave Tomography of the British Isles from Ambient Seismic Noise. Geophys. J. Int., 198, pp.637–655
    [Google Scholar]
  9. Ray, A., Kaplan, S., Washbourne, J., and Albertin, U.
    , 2017. Low frequency full waveform seismic inversion within a tree based Bayesian framework. Geophys. J. Int., 212, pp. 522–542
    [Google Scholar]
  10. Wapenaar, K. & Fokkema, J.
    , 2006. Green's function representations for seismic interferometry, Geophysics, 71, SI33–SI44
    [Google Scholar]
  11. Wolpert, D.H.
    , Macready, W.G., 1997. No Free Lunch Theorems for Optimization, IEEE Trans. Evol. Comp. 1, 67.
    [Google Scholar]
  12. Zhang, X., Curtis, A., Galetti, E., de Ridder, S.
    , 2018. 3D Monte Carlo Surface Wave Tomography. Geophys. J. Int., vol. 215, issue 3, pp.1644–1658
    [Google Scholar]
  13. Zhang, X., Hansteen, F., Curtis, A.
    , 2019. Fully3DMonte Carlo Ambient Noise Tomography over Grane Field. EAGE Annual Meeting Extended Abstracts.
    [Google Scholar]
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