The concept of conscious use of adaptive parameters when determining hydraulic losses in pipes originates from A. Darcy’s works. It was shown using the basis of the retrospective analysis of scientific works in the field of hydraulic calculation of pipelines of the XVIII-XX centuries. However, use of coefficient of the equivalent roughness as the universal adaptive parameter does not allow reducing to a reasonable minimum a divergence of estimated dependences with the experimental values of coefficients of hydraulic losses of oil pipelines. And even the increased computational capabilities of computer technology did not allow to improve the accuracy of hydraulic calculations performed according to the formulas of classical hydrodynamics. Without relying on the future success in the development of adequate multiphase models for oil and oil product pipelines, it is necessary to recognize the most effective adaptive approach to the assessment of hydraulic friction parameters according to the operation data from the technological site. It was shown that it is acceptable in this case to adapt the coefficients in the generalized Leibenson equation for the coefficient of hydraulic friction according to the operation of each specific oil pipeline. For further improvement of the technological calculations accuracy, it is necessary to use the methodology of multiphase fluid flow in the relief pipeline, taking into account the accumulation and migration of water and gas accumulations.

Generalization of the current trends in hydrodynamics study of oil flows in pipelines shows the basic opportunity to receive satisfactory convergence of settlement and actual friction losses (±10-15%) by solution of the inverse problems of fluidmechanics, applying adaptation algorithms in two parameters.

The examples received by data processing from technological sites of operating oil pipelines for equation types of Darcy – Weisbach and Leibenson are given.

References

1. Kutukov S.E., Gol'yanov A.I., Chetvertkova O.V., The establishment of pipeline hydraulics: retrospective of researches of hydraulic losses in pipes (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2019, no. 7, pp. 128–133.

2. Chernikin V.A., Chernikin A.V., Generalized formula for calculating the friction factor of pipelines for light oil products and lowviscosity oils (In Russ.), Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov, 2012, no. 4 (8), pp. 64–66.

3. Tsal R.J., Altshul-Tsal friction factor equation, Heating, Piping and Air Conditioning, 1989, no. 8, pp. 30–45.

4. Brkić D., Review of explicit approximations to the Colebrook relation for flow friction, Journal of Petroleum Science and Engineering, 2011, V. 77, no. 1, pp. 34–48.

5. Swamee P.K., Jain A.K., Explicit equations for pipe-flow problems, Journal of the Hydraulics Division, 1976, V. 102, no. 5, pp. 657–664.

6. Eck B., Technische Stromungslehre, New York: Springer, 1973, 324 p.

7. Round G.F., An explicit approximation for the friction factor-Reynolds number relation for rough and smooth pipes, The Canadian Journal of Chemical Engineering, 1980, V. 58, pp. 122–123.

8. Nikolaev A.K., Bykov K.V., Malarev V.I., Determination of the hydraulic resistance coefficient of the main oil pipeline (In Russ.), Gornyy informatsionno-analiticheskiy byulleten', 2013, no. 5, pp. 265–268.

9. Zeghadnia L., Robert J.L., Achour B., Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification, Ain Shams Engineering Journal, 2019, no. 10, pp. 243–252.

10. Wood D.J., An explicit friction factor relationship, Civil Engineering, 1966, V. 36, no. 12, pp. 60–61.

11. Kutukov S.E., Shammazov A.M., The hydrodynamic conditions of the existence of water accumulation in the oil pipeline (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2003, V. 62, pp. 68–75.

12. Kutukov S.E., Bakhtizin R.N., Shammazov A.M., Gas congestion influence on pipeline system curve (In Russ.), Neftegazovoe delo, 2003, no. 1, URL: http://ogbus.ru/article/view/ocenka-vliyaniya-gazovogo-skopleniya-na-xarakteristiku-truboprovoda.

13. Kutukov S.E., Bazhaykin S.G., Mukhametshin G.R., Description of a pipeline section with water accumulation (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2016, no. 4 (106), pp. 118–125.

14. Revel'-Muroz P.A. et al., Assessing the hydraulic efficiency of oil pipelines according to the monitoring of process operation conditions (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2019, V. 9, no. 1, pp. 9–19.

15. Kutukov S.E., Bazhaykin S.G., Mukhametshin G.R., Description of a pipeline section with water accumulation (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2016, no. 4 (106), pp. 118–125.

16. Kutukov S.E., Razrabotka metodov funktsional'noy diagnostiki tekhnologicheskikh rezhimov ekspluatatsii magistral'nykh nefteprovodov (Development of methods for functional diagnostics of technological modes of trunk pipelines operation): thesis of doctor of technical science, Ufa, 2003.The concept of conscious use of adaptive parameters when determining hydraulic losses in pipes originates from A. Darcy’s works. It was shown using the basis of the retrospective analysis of scientific works in the field of hydraulic calculation of pipelines of the XVIII-XX centuries. However, use of coefficient of the equivalent roughness as the universal adaptive parameter does not allow reducing to a reasonable minimum a divergence of estimated dependences with the experimental values of coefficients of hydraulic losses of oil pipelines. And even the increased computational capabilities of computer technology did not allow to improve the accuracy of hydraulic calculations performed according to the formulas of classical hydrodynamics. Without relying on the future success in the development of adequate multiphase models for oil and oil product pipelines, it is necessary to recognize the most effective adaptive approach to the assessment of hydraulic friction parameters according to the operation data from the technological site. It was shown that it is acceptable in this case to adapt the coefficients in the generalized Leibenson equation for the coefficient of hydraulic friction according to the operation of each specific oil pipeline. For further improvement of the technological calculations accuracy, it is necessary to use the methodology of multiphase fluid flow in the relief pipeline, taking into account the accumulation and migration of water and gas accumulations.

Generalization of the current trends in hydrodynamics study of oil flows in pipelines shows the basic opportunity to receive satisfactory convergence of settlement and actual friction losses (±10-15%) by solution of the inverse problems of fluidmechanics, applying adaptation algorithms in two parameters.

The examples received by data processing from technological sites of operating oil pipelines for equation types of Darcy – Weisbach and Leibenson are given.

References

1. Kutukov S.E., Gol'yanov A.I., Chetvertkova O.V., The establishment of pipeline hydraulics: retrospective of researches of hydraulic losses in pipes (In Russ.), Neftyanoe khozyaystvo = Oil Industry, 2019, no. 7, pp. 128–133.

2. Chernikin V.A., Chernikin A.V., Generalized formula for calculating the friction factor of pipelines for light oil products and lowviscosity oils (In Russ.), Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov, 2012, no. 4 (8), pp. 64–66.

3. Tsal R.J., Altshul-Tsal friction factor equation, Heating, Piping and Air Conditioning, 1989, no. 8, pp. 30–45.

4. Brkić D., Review of explicit approximations to the Colebrook relation for flow friction, Journal of Petroleum Science and Engineering, 2011, V. 77, no. 1, pp. 34–48.

5. Swamee P.K., Jain A.K., Explicit equations for pipe-flow problems, Journal of the Hydraulics Division, 1976, V. 102, no. 5, pp. 657–664.

6. Eck B., Technische Stromungslehre, New York: Springer, 1973, 324 p.

7. Round G.F., An explicit approximation for the friction factor-Reynolds number relation for rough and smooth pipes, The Canadian Journal of Chemical Engineering, 1980, V. 58, pp. 122–123.

8. Nikolaev A.K., Bykov K.V., Malarev V.I., Determination of the hydraulic resistance coefficient of the main oil pipeline (In Russ.), Gornyy informatsionno-analiticheskiy byulleten', 2013, no. 5, pp. 265–268.

9. Zeghadnia L., Robert J.L., Achour B., Explicit solutions for turbulent flow friction factor: A review, assessment and approaches classification, Ain Shams Engineering Journal, 2019, no. 10, pp. 243–252.

10. Wood D.J., An explicit friction factor relationship, Civil Engineering, 1966, V. 36, no. 12, pp. 60–61.

11. Kutukov S.E., Shammazov A.M., The hydrodynamic conditions of the existence of water accumulation in the oil pipeline (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2003, V. 62, pp. 68–75.

12. Kutukov S.E., Bakhtizin R.N., Shammazov A.M., Gas congestion influence on pipeline system curve (In Russ.), Neftegazovoe delo, 2003, no. 1, URL: http://ogbus.ru/article/view/ocenka-vliyaniya-gazovogo-skopleniya-na-xarakteristiku-truboprovoda.

13. Kutukov S.E., Bazhaykin S.G., Mukhametshin G.R., Description of a pipeline section with water accumulation (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2016, no. 4 (106), pp. 118–125.

14. Revel'-Muroz P.A. et al., Assessing the hydraulic efficiency of oil pipelines according to the monitoring of process operation conditions (In Russ.), Nauka i tehnologii truboprovodnogo transporta nefti i nefteproduktov = Science & Technologies: Oil and Oil Products Pipeline Transportation, 2019, V. 9, no. 1, pp. 9–19.

15. Kutukov S.E., Bazhaykin S.G., Mukhametshin G.R., Description of a pipeline section with water accumulation (In Russ.), Problemy sbora, podgotovki i transporta nefti i nefteproduktov, 2016, no. 4 (106), pp. 118–125.

16. Kutukov S.E., Razrabotka metodov funktsional'noy diagnostiki tekhnologicheskikh rezhimov ekspluatatsii magistral'nykh nefteprovodov (Development of methods for functional diagnostics of technological modes of trunk pipelines operation): thesis of doctor of technical science, Ufa, 2003.