ARTICLE

Utilizing modified Gustafson-Kessel algorithm to estimate log data from seismic attributes

AMIR NAGHIBI1 M. ALI RIAHI2
Show Less
1 Amirkabir University of Technology, Iran,
2 Institute of Geophysics, University of Tehran, P.O. Box 14155-6, Tehran, Iran,
JSE 2011, 20(4), 347–356;
Submitted: 9 June 2025 | Revised: 9 June 2025 | Accepted: 9 June 2025 | Published: 9 June 2025
© 2025 by the Authors. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution -Noncommercial 4.0 International License (CC-by the license) ( https://creativecommons.org/licenses/by-nc/4.0/ )
Abstract

Naghibi, A. and Riahi, M.A., 2011. Utilizing modified Gustafson-Kessel algorithm to estimate log data from seismic attributes. Journal of Seismic Exploration, 20: 347-356. One of the most effective methods for analyzing seismic attributes is Fuzzy C-Means (FCM) clustering. By extension of FCM, standard Gustafson-Kessel (G-K) algorithm is derived, which is a powerful tool for clustering analysis. However, G-K algorithm suffers from some shortcomings like singularity of the covariance matrix. By using different techniques for estimating covariance matrix, we can improve the performance of G-K algorithm and lessen the impacts of such pitfalls. Recently, standard G-K algorithm was used for estimation of log data from seismic attributes. In this article we applied the same procedure but instead of standard G-K algorithm we utilized modified G-K algorithm in which we employed two new formulas for further precise estimation of covariance matrix. Because of drawbacks of standard G-K algorithm due to covariance matrix, increasing the number of clusters is not possible in this estimation. Therefore, utilizing recent new techniques have assisted to overcome the drawbacks and improve log data estimation.

Keywords
modified G-K algorithm
log data
seismic attributes
standard G-K algorithm
References
  1. Babuska, R., Van der Veen, P.J. and Kaymak, U., 2002. Improved Covariance Estimation for
  2. Gustafson-Kessel Clustering. IEEE, Honolulu, Hawaii.
  3. Eftekharifar, M., Riahi, M.A. and Kharrat, R., 2009. Integration of Gustafson-Kessel Algorithm
  4. and Kohonen’s self-organizing maps for unsupervised clustering of seismic attributes. J.
  5. Seismic Explor., 18: 315-328.
  6. Liu, H.-C., Yih, J.-M., Lin, W.-C. and Liu, T.-S;, 2009. Fuzzy C-Means algorithm based on PSO
  7. and Mahalanobis Distance. Internat. J. Innovat. Comput., Informat. Control, 5: 5033-5040.
  8. Taner, M.T., 2001. Seismic Attributes. CSEG Recorder, 9: 48-56.
  9. Yang, P., Yin, X. and Zhang, G., 2006, Seismic Data Analysis Based on Fuzzy Clustering, IEEE,
  10. Gulin, China.
Share
Back to top
Journal of Seismic Exploration, Electronic ISSN: 0963-0651 Print ISSN: 0963-0651, Published by AccScience Publishing