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Different Nonlinear Regression Techniques and Sensitivity Analysis as Tools to Optimize Oil Viscosity Modeling

Author

Listed:
  • Dicho Stratiev

    (LUKOIL Neftohim Burgas, 8104 Burgas, Bulgaria)

  • Svetoslav Nenov

    (Department of Mathematics, University of Chemical Technology and Metallurgy, Kliment Ohridski 8, 1756 Sofia, Bulgaria)

  • Dimitar Nedanovski

    (Faculty of Mathematics and Informatics, St. Kliment Ohridski University, 15 Tsar Osvoboditel Blvd, 1504 Sofia, Bulgaria)

  • Ivelina Shishkova

    (Department of Mathematics, University of Chemical Technology and Metallurgy, Kliment Ohridski 8, 1756 Sofia, Bulgaria)

  • Rosen Dinkov

    (Department of Mathematics, University of Chemical Technology and Metallurgy, Kliment Ohridski 8, 1756 Sofia, Bulgaria)

  • Danail D. Stratiev

    (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Academic Georgi Bonchev 105, 1113 Sofia, Bulgaria)

  • Denis D. Stratiev

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Sotir Sotirov

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Evdokia Sotirova

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Vassia Atanassova

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Krassimir Atanassov

    (Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Academic Georgi Bonchev 105, 1113 Sofia, Bulgaria
    Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Dobromir Yordanov

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Nora A. Angelova

    (Department of Mathematics, University of Chemical Technology and Metallurgy, Kliment Ohridski 8, 1756 Sofia, Bulgaria
    Faculty of Mathematics and Informatics, St. Kliment Ohridski University, 15 Tsar Osvoboditel Blvd, 1504 Sofia, Bulgaria)

  • Simeon Ribagin

    (Intelligent Systems Laboratory, Department Industrial Technologies and Management, University Prof. Dr. Assen Zlatarov, Professor Yakimov 1, 8010 Burgas, Bulgaria)

  • Liliana Todorova-Yankova

    (Department of Mathematics, University of Chemical Technology and Metallurgy, Kliment Ohridski 8, 1756 Sofia, Bulgaria)

Abstract

Four nonlinear regression techniques were explored to model gas oil viscosity on the base of Walther’s empirical equation. With the initial database of 41 primary and secondary vacuum gas oils, four models were developed with a comparable accuracy of viscosity calculation. The Akaike information criterion and Bayesian information criterion selected the least square relative errors (LSRE) model as the best one. The sensitivity analysis with respect to the given data also revealed that the LSRE model is the most stable one with the lowest values of standard deviations of derivatives. Verification of the gas oil viscosity prediction ability was carried out with another set of 43 gas oils showing remarkably better accuracy with the LSRE model. The LSRE was also found to predict better viscosity for the 43 test gas oils relative to the Aboul Seoud and Moharam model and the Kotzakoulakis and George.

Suggested Citation

  • Dicho Stratiev & Svetoslav Nenov & Dimitar Nedanovski & Ivelina Shishkova & Rosen Dinkov & Danail D. Stratiev & Denis D. Stratiev & Sotir Sotirov & Evdokia Sotirova & Vassia Atanassova & Krassimir Ata, 2021. "Different Nonlinear Regression Techniques and Sensitivity Analysis as Tools to Optimize Oil Viscosity Modeling," Resources, MDPI, vol. 10(10), pages 1-21, September.
    • Handle: RePEc:gam:jresou:v:10:y:2021:i:10:p:99-:d:646462
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    References listed on IDEAS

    as
    1. Takayama,Akira, 1985. "Mathematical Economics," Cambridge Books, Cambridge University Press, number 9780521314985, October.
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