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Abstract

Summary

Arrival time uncertainties intrinsically define the accuracy of all arrival time-based measurements, e.g. the precision of wave arrivals in microseismic registration. They are used to weigh the data in inversion algorithms and to define the resolution of reconstructed velocity models. Although a wide range of methods for arrival time uncertainty estimation has been proposed in the literature, the physically most prominent ones are based on the probabilistic formulation. We review two probabilistic approaches for assessment of the lower boundary of picking error which are well-known in the radio signal processing - the Cramer-Rao Bound and the Ziv-Zakai Bound. These classic bounds require explicit knowledge of the spectral variance of the signal that is often hard to determine in microseismic experiments. Hence, we present reformulations of the bounds suitable for the case of downhole microseismic monitoring. The resulting easy-to-use analytical expressions require the signal and noise parameters that can be directly obtained from microseismic data and, hence, can be efficiently applied to the data in a semiautomatic fashion. We further demonstrate that the proposed analytical expressions provide realistic values of the arrival time uncertainties, and that the obtained uncertainties can be used to improve further processing steps, e.g., microseismic source localization.

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/content/papers/10.3997/2214-4609.201900674
2019-06-03
2024-09-15

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References

  1. Abakumov, I. and Shapiro, S.
    [2018] Traveltime picking uncertainties. Phase annual report 2017, 13, 33–40.
     [Google Scholar]
  2. Bell, K.L., Steinberg, Y., Ephraim, Y. and Van Trees, H.L.
    [1997] Extended Ziv-Zakai lower bound for vector parameter estimation. IEEE Transactions on Information Theory, 43(2), 624–637.
     [Google Scholar]
  3. Cramér, H.
    [1946] Mathematical Methods of Statistics. Princeton University Press.
     [Google Scholar]
  4. Di Stefano, R., Aldersons, F., Kissling, E., Baccheschi, P., Chiarabba, C. and Giardini, D.
    [2006] Automatic seismic phase picking and consistent observation error assessment: application to the Italian seismicity. Geophysical Journal International, 165(1), 121–134.
     [Google Scholar]
  5. Diehl, T., Deichmann, N., Kissling, E. and Husen, S.
    [2009a] Automatic S-wave picker for local earthquake tomography. Bulletin of the Seismological Society of America, 99(3), 1906–1920.
     [Google Scholar]
  6. Diehl, T., Kissling, E., Husen, S. and Aldersons, F.
    [2009b] Consistent phase picking for regional tomography models: application to the greater Alpine region. Geophysical Journal International, 176(2), 542–554.
     [Google Scholar]
  7. Gorbachev, P.Y., Lopatnikov, S.L. and Samojlov, A.V.
    [1986] The influence of noise on the measurement error in acoustic logging. Proceedings of Higher Schools: Geology and Exploration, 43(11), 63–67. In Russian.
     [Google Scholar]
  8. Rao, C.R.
    [1945] Information and the accuracy attainable in the estimation of statistical parameters. Bulletin of the Calcutta Mathematical Society, 37, 81–89.
     [Google Scholar]
  9. Sallarès, V., Gailler, A., Gutscher, M.A., Graindorge, D., Bartolomé, R., Gracia, E., Diaz, J., Dañobeitia, J.J. and Zitellini, N.
    [2011] Seismic evidence for the presence of Jurassic oceanic crust in the central Gulf of Cadiz (SW Iberian margin). Earth and Planetary Science Letters, 311(1–2), 112–123.
     [Google Scholar]
  10. von Seggern, D.H.
    [2009] Direct empirical estimation of arrival-time picking error from waveform cross-correlations. Bulletin of the Seismo-logical Society of America, 99(5), 2749–2758.
     [Google Scholar]
  11. Tarantola, A. and Valette, B.
    [1982] Inverse problems = quest for information. Journal of Geophysics, 50(3), 150–170.
     [Google Scholar]
  12. Ziv, J. and Zakai, M.
    [1969] Some lower bounds on signal parameter estimation. IEEE Transactions on Information Theory, 15(3), 386–391.
     [Google Scholar]
/content/papers/10.3997/2214-4609.201900674
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Automatic Arrival Time Uncertainty Assessment for Downhole Microseismic Monitoring Data
Conference Proceedings 2019, 1 (2019); https://doi.org/10.3997/2214-4609.201900674
/content/papers/10.3997/2214-4609.201900674
/content/papers/10.3997/2214-4609.201900674
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