Log in

Similarity Heuristics for Clustering Wells Based on Logging-Data

  • Published:
Lobachevskii Journal of Mathematics Aims and scope Submit manuscript

Abstract

Accurate clustering of oil wells is important for lithological studies and hydrocarbon production processes. Traditional methods for solving this problem require large amount of expert work, including careful analysis of high-dimensional datasets. Modern approaches to automatizing clustering are mostly based on deep neural networks (DNN) with complex architecture, which require significant training time and lack interpretability. This paper analyses methods based on simple similarity heuristics, which stem from reasonable assumptions on data generating process and can be interpreted in terms of statistics and geometry. For dataset labeled by experts, clustering is performed by means of computed heuristics, and the quality of algorithm is measured by Adjusted Rand Index (ARI). Results thus obtained turn out to be comparable to those of modern DNN models (0.41 vs 0.37), but the computation time is reduced significantly. For some types of heuristics physical interpretation is suggested and approaches to obtaining geological insights are studied.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

REFERENCES

  1. M. Ali et al., ‘‘Machine learning—A novel approach of well logs similarity based on synchronization measures to predict shear sonic logs,’’ J. Pet. Sci. Eng. 203, 108602 (2021). https://doi.org/10.1016/j.petrol.2021.108602

  2. J. Cresson and S. Sonner, ‘‘A note on a derivation method for SDE models: Applications in biology and viability criteria,’’ Stoch. Anal. Appl. 36, 1386571 (2018). https://doi.org/10.1080/07362994.2017.1386571

  3. E. Gurina et al., ‘‘Application of machine learning to accidents detection at directional drilling,’’ J. Pet. Sci. Eng. 184, 106519 (2020). https://doi.org/10.1016/j.petrol.2019.106519

  4. S. Hirano, ‘‘Source time functions of earthquakes based on a stochastic differential equation,’’ Sci. Rep. 12, 3936 (2022). https://doi.org/10.1038/s41598-022-07873-2

    Article  Google Scholar 

  5. S. Hirano, ‘‘Source time functions of earthquakes based on a stochastic differential equation,’’ Earth Space Sci. Open Arch. (2021). https://doi.org/10.1002/essoar.10507482.1

    Book  Google Scholar 

  6. T. Kleinow, ‘‘Testing continuous time models in financial markets,’’ Dissertation (Berlin, 2002).

  7. J. Kutz, S. Brunton, B. Brunton, and J. Proctor, Dynamic Mode Decomposition (Soc. Ind. Appl. Math., Philadelphia, 2016).

    Book  MATH  Google Scholar 

  8. B. **e et al., ‘‘High-efficient low-cost characterization of composite material properties using domain-knowledge-guided self-supervised learning,’’ Comput. Mater. Sci. 216, 111834 (2023). https://doi.org/10.1016/j.commatsci.2022.111834

  9. J. Steinier, Y. Termonia, and J. Deltour, ‘‘Smoothing and differentiation of data by simplified least square procedure,’’ Anal. Chem. 44, 1906 (1972).

    Article  Google Scholar 

  10. N. Touzi, Optimal Stochastic Control, Stochastic Target Problems, and Backward SDE (Springer, New York, 2012).

    MATH  Google Scholar 

  11. A. Sekine and Tanaka ‘‘Notes on backward stochastic differential equations for computing XVA,’’ in Proceedings of the Forum Math-for-Industry (2018). https://doi.org/10.1016/j.commatsci.2022.111834

  12. N. Vinh et al., ‘‘Information theoretic measures for clusterings comparison: Variants, properties, normalization and correction for chance,’’ J. Mach. Learn. Res. 11 (2010).

  13. A. Verma et al., ‘‘Assessment of similarity between well logs using synchronization measures,’’ IEEE Geosci. Remote Sens. Lett. 11, 2317498 (2014). https://doi.org/10.1109/LGRS.2014.2317498

  14. E. Romanenkova et al., ‘‘Similarity learning for wells based on logging data,’’ J. Pet. Sci. Eng. 215, 110690 (2022). https://doi.org/10.1016/j.petrol.2022.110690

  15. R. Akkurt et al., ‘‘Accelerating and enhancing petrophysical analysis with machine learning: A case study of an automated system for well log outlier detection and reconstruction,’’ in Proceedings of the SPWLA Annual Logging Symposium (2018).

  16. N. Stuov et al., ‘‘Out of distribution detection of well logs for ai-assisted formation evaluation,’’ in Proceedings of the IPTC International Petroleum Technology Conference (2022). https://doi.org/10.2523/IPTC-22097-MS

  17. IBM Research, Taranaki Basin Curated Well Logs. https://developer.ibm.com/technologies/artificial-intelligence/data/taranaki-basin-curated-well-logs/. Accessed 2020.

  18. A. Rogulina et al., ‘‘Similarity learning for well logs prediction using machine learning algorithms,’’ in Proceedings of the IPTC International Petroleum Technology Conference (2022). https://doi.org/10.2523/IPTC-22067-MS

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to D. K. Khliustov, D. Y. Kovalev or S. S. Safonov.

Additional information

(Submitted by E. K. Lipachev)

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khliustov, D.K., Kovalev, D.Y. & Safonov, S.S. Similarity Heuristics for Clustering Wells Based on Logging-Data. Lobachevskii J Math 44, 157–169 (2023). https://doi.org/10.1134/S1995080223010195

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1995080223010195

Keywords:

Navigation