1887

Abstract

Summary

Iterative geostatistical seismic inversion methods rely on stochastic sequential simulation to generate and adjust models, typically using a global variogram to capture spatial continuity patterns. However, in complex, non-stationary geological settings, a single variogram model often fails to effectively represent geological variability, leading to suboptimal inversion outcomes. This study introduces an iterative geostatistical seismic inversion method that incorporates self-updating local variogram models to address this limitation.

The proposed method utilizes automatic clustering and optimizes a cluster validity index (CVI) to dynamically update spatial continuity models throughout the inversion process. It was tested using three different CVIs: Silhouette (SI), Davies-Bouldin (DB), and Calinski-Harabasz (CH). Validation on a synthetic 3D seismic dataset replicating a deep-water turbidite field showed that using SI and CH achieved a high global correlation coefficient (0.9) between predicted and true seismic data, with CH offering the best balance of accuracy and computational efficiency.

This innovative method effectively captures local spatial variability, enhancing the geological realism of inverted models. Its robust performance in a non-stationary example underscores its potential to improve reservoir characterization in real-world applications.

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/content/papers/10.3997/2214-4609.202510225
2025-06-02
2026-02-16
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References

  1. Abdalameer, A. K., Alswaitti, M., Alsudani, A. A. and Isa, N. A. M. [2022] A new validity clustering index-based on finding new centroid positions using the mean of clustered data to determine the optimum number of clusters. Expert Systems with Applications, 191, 116329.
    [Google Scholar]
  2. Arbelaitz, O., Gurrutxaga, I., Muguerza, J., Pérez, J. M. and Perona, I. [2013] An extensive comparative study of cluster validity indices. Pattern recognition, 46(1), 243–256.
    [Google Scholar]
  3. Azevedo, L. and Soares, A. [2017] Geostatistical methods for reservoir geophysics. Springer.
    [Google Scholar]
  4. Bosch, M., Mukerji, T. and Gonzalez, E. F. [2010] Seismic inversion for reservoir properties combining statistical rock physics and geostatistics: A review. Geophysics, 75(5), 75A165–75A176.
    [Google Scholar]
  5. Caliński, T. and Harabasz, J. [1974] A dendrite method for cluster analysis. Communications in Statistics, 3(1), 1–27.
    [Google Scholar]
  6. Davies, D. L. and Bouldin, D. W. [1979] A cluster separation measure. IEEE transactions on pattern analysis and machine intelligence, PAMI-1 (2), 224–227.
    [Google Scholar]
  7. Grana, D., Azevedo, L., De Figueiredo, L., Connolly, P. and Mukerji, T. [2022] Probabilistic inversion of seismic data for reservoir petrophysical characterization: Review and examples. Geophysics, 87(5), M199–M216.
    [Google Scholar]
  8. Mohammadi, A. K., Mohebian, R. and Moradzadeh, A. [2021] High-resolution seismic impedance inversion using improved ceemd with adaptive noise. Journal of Seismic Exploration, 30(5), 481–504.
    [Google Scholar]
  9. Pereira, Â., Azevedo, L. and Soares, A. [2023] Updating Local Anisotropies with Template Matching During Geostatistical Seismic Inversion. Mathematical Geosciences, 55(4), 497–519.
    [Google Scholar]
  10. Rousseeuw, P. J. [1987] Silhouettes: a graphical aid to the interpretation and validation of cluster analysis. Journal of computational and applied mathematics, 20, 53–65.
    [Google Scholar]
  11. Sabeti, H., Moradzadeh, A., Ardejani, F. D., Azevedo, L., Soares, A., Pereira, P. and Nunes, R. [2017] Geostatistical seismic inversion for non‐stationary patterns using direct sequential simulation and co‐simulation. Geophysical Prospecting, 65(S1), 25–48.
    [Google Scholar]
  12. Soares, A. [2001] Direct sequential simulation and cosimulation. Mathematical geology, 33(8), 911–926.
    [Google Scholar]
  13. Soares, A., Diet, J. and Guerreiro, L. [2007] Stochastic inversion with a global perturbation method. EAGE Conference on Petroleum Geostatistics, cp-32-00010.
    [Google Scholar]
  14. Tarantola, A. [2005] Inverse problem theory and methods for model parameter estimation. SIAM.
    [Google Scholar]
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