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Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods

Author

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  • Rafał Wiśniowski

    (Department of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, Poland)

  • Krzysztof Skrzypaszek

    (Department of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, Poland)

  • Tomasz Małachowski

    (Department of Drilling and Geoengineering, Faculty of Drilling Oil and Gas, AGH University of Science and Technology, Mickiewicza 30 Av., 30–059 Kraków, Poland)

Abstract

The accuracy of fitting the rheological model to the properties of actual drilling fluid minimises the errors of the calculated technological parameters applied while drilling oil wells. This article presents the methodology of selecting the optimum drilling fluid rheological model. Apart from classical rheological models, i.e., the Newtonian, Bingham Plastic, Casson, Ostwald de Waele and Herschel–Bulkley models, it has been proposed to consider the Vom Berg and Hahn-Eyring models, which have not been applied to describe drilling fluids so far. In the process of determining rheological parameters for the Bingham Plastic, Casson, Ostwald de Waele and Newtonian models, it is proposed to use a linear regression method. In the case of the Herschel–Bulkley, Vom Berg and Hahn-Eyring models, it is suggested to use a non-linear regression method. Based on theoretical considerations and mathematical relations developed in the Department of Drilling and Geoengineering, Drilling, Oil and Gas Faculty, at AGH University of Science and Technology, an original computer program called Rheosolution was developed, which enables automation of the process of determining the optimum drilling fluid rheological model. Some examples show the practical application of the method of selecting the optimum drilling fluid rheological model. Taking into account data from actual measurements of drilling fluid properties, it has been proven that the Vom Berg and Hahn-Eyring rheological models are best fitted to the description of drilling fluid rheological parameters.

Suggested Citation

  • Rafał Wiśniowski & Krzysztof Skrzypaszek & Tomasz Małachowski, 2020. "Selection of a Suitable Rheological Model for Drilling Fluid Using Applied Numerical Methods," Energies, MDPI, vol. 13(12), pages 1-17, June.
    • Handle: RePEc:gam:jeners:v:13:y:2020:i:12:p:3192-:d:373860
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    References listed on IDEAS

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    1. David G. Luenberger & Yinyu Ye, 2008. "Linear and Nonlinear Programming," International Series in Operations Research and Management Science, Springer, edition 0, number 978-0-387-74503-9, March.
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    Cited by:

    1. Marcin Kremieniewski & Miłosz Kędzierski & Sławomir Błaż, 2021. "Increasing the Efficiency of Sealing the Borehole in Terms of Spacer Pumping Time," Energies, MDPI, vol. 14(20), pages 1-11, October.
    2. Marcin Kremieniewski & Rafał Wiśniowski & Stanisław Stryczek & Paweł Łopata, 2021. "Comparison of Efficient Ways of Mud Cake Removal from Casing Surface with Traditional and New Agents," Energies, MDPI, vol. 14(12), pages 1-13, June.
    3. Rafał Wiśniowski & Grzegorz Orłowicz, 2022. "Theory of the Vom Berg Rheological Model and Its Use in Cloud-Native Application," Energies, MDPI, vol. 15(12), pages 1-13, June.
    4. Marcin Kremieniewski & Sławomir Błaż & Stanisław Stryczek & Rafał Wiśniowski & Andrzej Gonet, 2021. "Effect of Cleaning the Annular Space on the Adhesion of the Cement Sheath to the Rock," Energies, MDPI, vol. 14(16), pages 1-15, August.
    5. Tianle Liu & Ekaterina Leusheva & Valentin Morenov & Lixia Li & Guosheng Jiang & Changliang Fang & Ling Zhang & Shaojun Zheng & Yinfei Yu, 2020. "Influence of Polymer Reagents in the Drilling Fluids on the Efficiency of Deviated and Horizontal Wells Drilling," Energies, MDPI, vol. 13(18), pages 1-16, September.
    6. Stanisław Stryczek & Andrzej Gonet & Marcin Kremieniewski & Tomasz Kowalski, 2023. "Forecasting Strength Parameters of Hardened Geopolymer Slurries Applied to Seal Casing Columns in Boreholes," Energies, MDPI, vol. 16(11), pages 1-16, May.
    7. Marcin Kremieniewski, 2022. "Improving the Efficiency of Oil Recovery in Research and Development," Energies, MDPI, vol. 15(12), pages 1-7, June.
    8. Marcin Kremieniewski, 2021. "Hybrid Washer Fluid for Primary Cementing," Energies, MDPI, vol. 14(5), pages 1-11, February.

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