English

Vol. 7 6, 2017 p 60-65

Pages

Article name, authors, abstract and keyword

60-65

Study of determination accuracy of the kinematic viscosity of two-component oil mixtures via existing mathematical models

Rustam Z. Sunagatullin a, Egor S. Dubovoy a, Anton A. Shmatkov a

a Pipeline Transport Institute, LLC (Transneft R&D, LLC), 47a, Sevastopolskiy prospect, Moscow, 117186, Russian Federation

DOI: 10.28999/2541-9595-2017-7-6-60-65

Abstract: Transneft forecasts an increase of the intake of high-sulfur (heavy) oil into the main oil pipelines (MOP) system. For example, the oil of the Timan-Pechora oil and gas province is characterized by complex rheological properties that have direct influence on transportation process and significant depend on the oil component composition. At the present time there are numerous attempts to describe dependence of hydrocarbon mixture viscosity on the concentration of components in it. The goal of presented studies was to determine the most adequate model from the mathematical point of view for describing the kinematic viscosity of twocomponent mixtures using oil samples from Transneft North, JSC.
The article gives an estimation of mathematical models approximating the viscosity of binary oil mixtures. The following dependencies were used as mathematical models: Arrhenius equation, Zdanovskys formula, Kendall and Monroes formula, Walters formula. The mathematical models were evaluated on the basis of the results of field experiments obtained during laboratory studies of oil samples and their mixtures in the testing laboratory of the Science and Technology Center of Pipeline Transportation of Transneft R&D, LLC. It is demonstrated that the following models can be used for calculation of viscosity of studied oil mixtures (presented in accuracy descending order): Arrhenius equation with due consideration of mutual influence of the mixture components, the modified Arrhenius equation and the Walters formula. The paper presents the results of numerical calculations of the factors of mathematical models; also the reliability factors of approximating equations are calculated.

Keywords: oil, dynamic viscosity, kinematic viscosity, oil mixture, viscosity of the oil mixture, Arrhenius equation, Zdanovskys formula, Kendall and Monroes formula, Walters formula, least square method, approximation factor, viscosity additivity.

Reference for citing:
Sunagatullin R. Z., Dubovoy E. S., Shmatkov A. A. Study of determination accuracy of the kinematic viscosity of twocomponent oil mixtures via existing mathematical models. Naukatekhnol. truboprov. transp. neftiinefteprod. = Science & Technologies: Oil and Oil Products Pipeline Transportation. 2017;7(6):6064.

References:
[1] Katsal I. N., Lyapin A. Y., Dubovoy E. S., Shmatkov A. A., Khafizov N. N. On the formation of oil traffic in oil trunk pipelines system of Transneft. Naukatekhnol. truboprov. transp. neftiinefteprod. = Science & Technologies: Oil and Oil Products Pipeline Transportation. 2016;(2):9295. (In Russ.)
[2] Fyodorov P. V., Pystin A. A., Nekuchaev V. O. Study of the heat treatment influence on the rheological characteristics of high-viscosity oils. Naukatekhnol. truboprov. transp. neftiinefteprod. = Science & Technologies: Oil and Oil Products Pipeline Transportation. 2016;(6):5863. (In Russ.)
[3] Nechval M. V., Novoselov V. F., Tugunov P. I. Oil and oil products batching via trunk pipelines. Moscow (M.): Nedra; 1976. 221 p. (In Russ.)
[4] Grunberg L., Nissan A. H. The energies of vaporization, viscosity and cohesion and the structure of liquids. Transactions of the Faraday Society. 1949;45:125137.
[5] Ratcliff G. A., Khan M. A. Prediction of the viscosities of liquid mixtures by a group solution model. The Canadian Journal of Chemical Engineering. 1971;49:125129.
[6] Lurie M. V., Maron V. I., Matskin L. A., Yufin V. A. Optimization of oil products batching. Moscow (M.): Nedra; 1979. 256 p
[7] Okunev A. G., Parkhomchuk E. V., Lysikov A. I., Derevshchikov V. S. A new approach to the calculation of viscosity of liquid hydrocarbon mixtures based on modified Arrhenius equation. International Scientific Journal for Alternative Energy and Ecology. 2012;(9):178181. (In Russ.)
[8] Evdokimov I. N., Losev A. P., Fesan . . Absence of additivity of oil mixtures properties. Drilling and Oil Journal. 2012;(1):2728. (In Russ.)
[9] Demidovich B. P., Maron I. A. Foundations of Computational Mathematics. Moscow (): GIFML; 1960. 659 p. (In Russ.)
[10] Samarsky . ., Gulin . V. Numerical Methods. Moscow (): Nauka; 1989. 430 p. (In Russ.)