1887

Abstract

Summary

The work introduces a new method for simulation of facies distribution for two categories based on Fourier analysis of Boolean functions. According this method, two categories of facies distributed along vertical wells are encoded as Boolean functions taking two values. The subsequent simulation process is divided into three consecutive steps. First, Boolean functions of well data are decomposed into a binary version of Fourier series. Then, decomposition coefficients are simulated over 2-dimensional area as stationary random fields. Finally, synthetic data in the interwell space is reconstructed as Fourier sum from simulated coefficients. The new method was implemented in an experimental software and tested on a case of real oil field.

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/content/papers/10.3997/2214-4609.201902211
2019-09-02
2024-04-20
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References

  1. Baykov, V., Bakirov, N. and Yakovlev, A. [2010] New methods in the theory of geostatistical modeling (Russian). Vestnik UGATU, 37(2), 209–215.
    [Google Scholar]
  2. Baykov, V., Bakirov, N. and Yakovlev, A. [2012] Mathematical Geology. Vol. 1. Introduction to Geostatistics. Ser Petroleum Engineering Library. IKI, Moscow-Izhevsk.
    [Google Scholar]
  3. Bonham-Carter, G.F. [2014] Geographic Information Systems for Geoscientists: Modelling with GIS. Elsevier.
    [Google Scholar]
  4. Chiles, J.P. and Delfiner, P. [2012] Geostatistics: Modeling Spatial Uncertainty (Secondedition). Wiley Series in Probability and Statistics. vol. 713. Wiley, Hoboken, USA.
    [Google Scholar]
  5. Crama, Y. and Hammer, P.L. [2011] Boolean functions: Theory, Algorithms, and Applications. Cambridge University Press, USA
    [Google Scholar]
  6. Demicco, R.V. and Klir, G.J. [2003] Fuzzy Logic in Geology. Elsevier, USA.
    [Google Scholar]
  7. Dubrule, O. [2017] Indicator variogram models: do we have much choice?Mathematical Geosciences, 49(4), 441–465.
    [Google Scholar]
  8. Ismagilov, N. and Lifshits, M. [2018] Conditioning spectral simulation method by horizontal well data. Proc. Conf. ECMOR XVI, Barcelona. Report P069. doi: 10.3997/2214‑4609.201802198.
    https://doi.org/10.3997/2214-4609.201802198. [Google Scholar]
  9. O'Donnell, R. [2014] Analysis of Boolean Functions.Cambridge University Press, New York, USA.
    [Google Scholar]
  10. Pyrcz, M. and Deutsch, C. [2014] Geostatistical Reservoir Modeling.Oxford University Press, Oxford.
    [Google Scholar]
  11. Terras, A. [1999] Fourier Analysis on Finite Groups and Applications.Cambridge University Press, Cambridge, UK.
    [Google Scholar]
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