No.3(47),2026 PP.37-51

Neftyanaya provintsiya No. 3(47), 2026

Automated selection of variogram models and their parameters for kriging-based geological mapping

R.Z. Sattarov, A.R. Sattarovа
DOI: https://doi.org/10.25689/NP.2026.3.37-51

Abstract

The paper describes an algorithm designed for the automated selection of an appropriate variogram model and its parameters in multiple directions for geological mapping via the kriging method. Traditional manual variogram fitting is subjective and time-consuming, particularly in cases of pronounced spatial anisotropy of reservoir properties. The developed algorithm automatically analyzes experimental data, selects the optimal theoretical model type, and calculates its parameters based on the least-squares criterion. The effectiveness of this approach is validated through the simulation of the porosity parameter within a productive horizon. The implementation of the algorithm enables the automation of routine geostatistical analysis operations and enhances the prediction accuracy for interwell space.

Key words:

geostatistics, variogram, nugget, range, sill, variogram analysis, spatial interpolation, kriging, geological mapping

References

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6. Sattarova A. R., Sattarov R. Z., Tumakov D. N. Programma dlya postroeniya geologicheskikh kart metodom kriginga s primeneniem variogrammnogo modelirovaniya [Software for Constructing Geological Maps by Kriging with Variogram Modeling]. Certificate of State Registration of the Computer Program No. 2025662690 Rus. Federation, 2025. (in Russian)

Authors

R.Z. Sattarov, PhD, Leading Research Associate, TatNIPIneft Institute – PJSC TATNEFT
32 M. Djalil St., Bugulma, 423236, Russian Federation
E-mail: ramsat@tatnipi.ru

A.R. Sattarovа, 2nd-year Master’s Student, Institute of Computational Mathematics and Information Technologies, Kazan (Volga region) Federal University
18 Kremlevskaya St., Kazan, 420008, Russian Federation
E-mail: sat_ade@mail.ru

For citation:

R.Z. Sattarov, A.R. Sattarovа Avtomatizirovannyy podbor modeley variogramm i ikh parametrov dlya postroyeniya geologicheskikh kart metodom kriginga [Automated selection of variogram models and their parameters for kriging-based geological mapping]. Neftyanaya Provintsiya, No. 3(47), 2026. pp. 37-51. DOI https://doi.org/10.25689/NP.2026.3.37-51. EDN TRZXLS (in Russian)

© Non-governmental organization Volga-Kama Regional Division of the Russian Academy of Natural Science, 2015-2026 All the materials of the journal are available under the Creative Commons Attribution 4.0 License (https://creativecommons.org/licenses/by/4.0/)

Automated selection of variogram models and their parameters for kriging-based geological mapping R.Z. Sattarov, A.R. Sattarovа DOI: https://doi.org/10.25689/NP.2026.3.37-51

Key words: geostatistics, variogram, nugget, range, sill, variogram analysis, spatial interpolation, kriging, geological mapping

Automated selection of variogram models and their parameters for kriging-based geological mapping

R.Z. Sattarov, A.R. Sattarovа
DOI: https://doi.org/10.25689/NP.2026.3.37-51

Key words:

geostatistics, variogram, nugget, range, sill, variogram analysis, spatial interpolation, kriging, geological mapping