About one inverse problem on determination the hydraulic resistance of the pipeline
DOI:
https://doi.org/10.26577/JMMCS-2019-2-24Keywords:
main oil pipelines, inverse problem, high-viscosity and high-congealing oil, hydraulic resistance coefficient, Altshul formulaAbstract
The results of determining the law of hydraulic resistance of the pipe of the main oil pipeline are
provided. The method of «hot» transfer is considered one of the most reliable for transportation
of highly viscous and high- congealing (paraffin) oil. In the «hot» transfer of paraffin oil the
following occurs: 1) a decrease in temperature due to heat transfer with cold soil and an increase
in oil viscosity; 2) the change in the roughness of the pipe wall of the pipeline due to loss of
asphalt-resinous and paraffin deposits. These factors lead to the fact that the law of hydraulic
resistance of the pipeline in the form of Altshul needs to be corrected depending on the Reynolds
number and the degree of wall roughness.
The solution to the problem is sought by formulating an inverse problem to determine the law
of hydraulic resistance in the form of Altshul. The mathematical formulation of the problem
includes a system of equations of motion and heat transfer and a modified Altshul formula with
unknown coefficients. The system of the equation of motion and heat transfer is solved by a
numerical method, difference analogs of the equation of motion and heat transfer are calculated
by the method of characteristics and by the method of point-to-point computation, respectively.
In the calculations, there pressure, velocity and temperature distributions were determined, and
unknown coefficients of the modified Altshul formula were found by comparing the calculated and
actual data of the SCADA system. As a result of comparison of the calculated and experimental
data, the dependence of the hydraulic resistance coefficient on the Reynolds number and the
roughness of the pipeline wall were constructed. The agreement of the calculated data with the
actual indicators of the SCADA system allows indicating the reliability of the results of the
inverse problem method for determining the hydraulic resistance coefficient of the main oil pipeline.
References
[2] Idel’chik I.E., Spravochnik po gidravlicheskim soprotivleniyam [Handbook of hydraulic resistance] (M.: Mashinostroenie, 1992), 672.
[3] Isaev I.A., "Eksperimental’noe opredelenie koeffitsientov gidravlicheskikh soprotivlenii v pryamykh nefteprovodnykh trubakh i fitingakh [Experimental determination of coefficients of hydraulic resistance in the direct oil pipeline pipes and fittings]" , M.: Gostoptekhizdat. V kn.: Voprosy transporta, khraneniya nefti i mashinostroeniya 17 (1956): 112-134.
[4] Abdurashitov S.A., Tupichenkov A.A., Truboprovody dlya szhizhennykh uglevodorodnykh gazov [Pipelines for liquefied hydrocarbon gases] (M.: Nedra, 1965), 215.
[5] Kashcheev A.A., "Perekachka nefteproduktov pri bol’shikh chislakh Reinol’dsa [Pumping of petroleum products at high Reynolds numbers]" , Neftyanoe khozyaistvo No 8-9 (1931): 112-168.
[6] Abramzon L.S., "Eksperimental’noe issledovanie teplootdachi i gidravliki na "goryachem" promyshlennom nefteprovode [Experimental study of heat transfer and hydraulics on the "hot" industrial oil pipeline]" , M.: VNIIOENG. Transport i khranenie nefti i nefteproduktov No 3 (1968): 125-130.
[7] Morozova N.V., Korshak A.A., "O granitsakh zon treniia pri gidravlicheskom raschete nefti i nefteproduktoprovodov [About borders of zones of friction at hydraulic calculation of oil and oil pipelines]" , Neftegazovoe delo vol. 5, no 1 (2007): 120-125.
[8] Bykov K.V., Nikolaev A.K., Malarev V.I., "Opredelenie koeffitsienta gidravlicheskogo soprotivleniia magistralnogo nefteprovoda [Determination of hydraulic resistance coefficient of the oil trunk pipeline]" , Gornyi informatsionnoanaliticheskii biulleten no 5 (2013): 265-268.
[9] Altshul A.D., Gidravlicheskie soprotivleniia [Hydraulic resistance] (M.: Nedra, 1982), 224.
[10] Shlikhting G., Teoriia pogranichnogo sloia [Boundary layer theory] (M.: Nauka, 1974), 712.
[11] Charnyi I.A., Neustanovivsheesia dvizhenie realnoi zhidkosti v trubakh [Unsteady motion of real fluid in pipes] (M.: Nedra, 1975), 296.
[12] Tugunov P.I. i dr., Tipovye raschety pri proektirovanii i ekspluatatsii gazonefteprovodov [Typical calculations in the design and operation of oil and gas pipelines] (M.: DizainPoligrafServis, 2002), 658.
[13] Zhapbasbaev U.K., Bekibaev T.T., Ramazanova G.I., Makhmotov E.S., Rziev S.A., "Raschet optimalnoi temperatury perekachki dlia transportirovki nefti [Calculation of optimal temperature of pumping for oil transportation]" , Nauka i tekhnologii truboprovodnogo transporta nefti i nefteproduktov no 4, vol. 20 (2015): 61-66.
[14] Voevodin A.F., Nikiforovskaia V.S., "Chislennyi metod opredeleniia mesta utechki zhidkosti i gaza v truboprovode [Numerical method of definition of the place of leakage of liquid and gas in the pipeline]" , Sibirskii zhurnal industrialnoi matematiki vol. 12, no 1 (2009): 25-30.
[15] Berezin I.S., Zhidkov N.P., Metody vychislenii [Methods of calculation] (M.: Nauka, 1966), 620.
[16] Samarskii A.A., Teoriia raznostnykh skhem [Theory of difference schemes] (M.: Nauka, 1977), 656.
