On one numerical method for transport
Matematičeskoe modelirovanie, Tome 25 (2013) no. 1, pp. 77-98.

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Optimal control, prevention and investigation of accidents and detection of discrepancies in estimated gas supply and distribution volumes are relevant problems of trunkline operation. Efficient dealing with these production tasks is based on the numerical recovery of space-time distribution of non-isothermal transient flow parameters of transported gas mixtures based on field measurements in a substantially limited number of localities spaced considerable distances apart along the gas pipeline. The paper describes a practical method of such recovery by defining and solving a special identification problem. Simulations of product flow parameters in extended branched pipelines, involving calculations of the target function and constraint function for the identification problem of interest, are done in the 1D statement. In conclusion, results of practical application of the method in the gas industry are briefly discussed.
Keywords: transient gas flow, gas trunkline, identification problem, transport flow recovery.
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V. Seleznev. On one numerical method for transport. Matematičeskoe modelirovanie, Tome 25 (2013) no. 1, pp. 77-98. http://geodesic.mathdoc.fr/item/MM_2013_25_1_a5/

[1] Novitskii N. N., Sennova M. G., Sukharev M. G. i dr., Truboprovodnye sistemy energetiki: upravlenie razvitiem i funktsionirovaniem, ed. A. D. Tevyashev, Nauka, Novosibirsk, 2004

[2] Carpenter P., Nicolas E., Henrie M., “Bayesian Belief Networks for Pipeline Leak Detection”, Papers book at 38 Annual Meeting of the Pipeline Simulation Interest Group, PSIG-2006 (October 2006), PSIG, USA, 1–27

[3] Sardanashvili S. A., Raschetnye metody i algoritmy (truboprovodnyi transport gaza), FGUP Izd-vo «Neft i gaz» RGU nefti i gaza im. I. M. Gubkina, M., 2005

[4] Boichenko A. L., Pryalov S. N., Seleznev V. E., “Operativnoe obnaruzhenie razryvov magistralnykh gazoprovodov”, Matematicheskoe modelirovanie, 18:2 (2006), 101–112 | MR

[5] Seleznev V. E., Aleshin V. V., Pryalov S. N., “Chislennaya verifikatsiya proektnykh reshenii dlya truboprovodov energeticheskikh sistem”, Izvestiya RAN: Energetika, 2008, no. 6, 95–106

[6] Seleznev V. E., “Chislennyi monitoring postavok prirodnogo gaza po gazoraspredelitelnym setyam”, Izvestiya RAN: Energetika, 2009, no. 4, 44–54

[7] Grachev V. V., Scherbakov S. G., Yakovlev E. I., Dinamika truboprovodnykh sistem, Nauka, M., 1987

[8] Guseinzade M. A., Dugina L. I., Petrova O. N., Stepanova M. F., Gidrodinamicheskie protsessy v slozhnykh truboprovodnykh sistemakh, Nedra, M., 1991

[9] Merenkov A. P., Sennova E. V., Sumarokov S. V., Matematicheskoe modelirovanie i optimizatsiya sistem teplo-, vodo-, nefte- i gazosnabzheniya, VO «Nauka», Sibirskaya izdatelskaya firma, Novosibirsk, 1992

[10] Thorley A. R. D., Tiley C. H., “Unsteady and transient flow of compressible fluids in pipelines — a review of theoretical and some experimental studies”, J. of Heat and Fluid Flow, 8:1 (1987), 3–15 | DOI

[11] Kiuchi T., “An Implicit Method for Transient Gas Flow in Pipe Networks”, Int. J. Heat and Fluid Flow, 15:5 (1994), 378–383 | DOI | MR

[12] Osiadacz A., Simulation and Analysis of Gas Networks, Gulf Publishing Company, Houston, 1987

[13] Santos L., Alvarez O., Nuevos métodos de Càlculo y simulación de Redes de Transport de Gas Natural, Gas del Estado, Buenos Aires, 1998

[14] Chapman K. S., Abbaspour M., “Non-Isothermal Compressor Station Transient Modeling”, Papers book at 35 Annual Meeting of the Pipeline Simulation Interest Group, PSIG-2003 (October 2003), PSIG, USA, 1–19

[15] Seleznev V. E., Aleshin V. V., Pryalov S. N., Matematicheskoe modelirovanie truboprovodnykh setei i sistem kanalov: metody, modeli i algoritmy, MAKS Press, M., 2007

[16] Seleznev V. E., Aleshin V. V., Pryalov S. N., Sovremennye kompyuternye trenazhery v truboprovodnom transporte: matematicheskie metody modelirovaniya i prakticheskoe primenenie, MAKS Press, M., 2007

[17] Seleznev V. E., Pryalov S. N., Metody postroeniya modelei techenii v magistralnykh truboprovodakh i kanalakh, Editorial URSS, M., 2012

[18] Seleznev V. E., Aleshin V. V., Klishin G. S., Metody i tekhnologii chislennogo modelirovaniya gazoprovodnykh sistem, Editorial URSS, M., 2002

[19] Marko Ya., Tirpak M., Yanus Ya. i dr., “Vysokotochnoe modelirovanie gazotransportnykh setei s pomoschyu programmno-matematicheskogo kompleksa «AMADEUS»”, Nauka i tekhnika v gazovoi promyshlennosti, 2003, no. 1, 6–12

[20] Tirpak M., Marko J., Heringh A. et al., “Experiences with real time systems and their contribution to safe and efficient control of gas transport system”, Papers book at 35 Annual Meeting of the Pipeline Simulation Interest Group, PSIG-2003 (October 2003, Bern, Switzerland), PSIG, USA, 2003, PSIG-0312, 8 pp.

[21] Seleznev V. E., Aleshin V. V., Puzach S. V., “Analiz pozharnoi opasnosti gazoprovodov promyshlennykh energeticheskikh sistem”, Izvestiya RAN: Energetika, 2006, no. 4, 64–76

[22] Seleznev V. E., Puzach S. V., “Chislennoe modelirovanie transportirovaniya prirodnogo gaza po truboprovodam energeticheskikh sistem”, Izvestiya RAN: Energetika, 2006, no. 6, 31–41

[23] Seleznev V. E., Aleshin V. V., Pryalov S. N., Osnovy chislennogo modelirovaniya magistralnykh truboprovodov, Izd. 2-e, pererab. i dop., MAKS Press, M., 2009

[24] Seleznev K. G., Dmitriev I. L., Popov N. K. i dr., “Metod chislennogo analiza ob'emov i istochnikov razbalansov v otsenkakh postavok prirodnogo gaza potrebitelyam”, Nauch.-tekh. sb., Transport i podzemnoe khranenie gazov, 1, OOO «Gazprom ekspo», M., 2009, 28–44

[25] Seleznev V. E., Aleshin V. V., Pryalov S. N., Matematicheskoe modelirovanie magistralnykh truboprovodnykh sistem: dopolnitelnye glavy, MAKS Press, M., 2009

[26] Pryalov S. N., “Povyshenie adekvatnosti modelirovaniya transportirovaniya gaza po truboprovodam”, Gazovaya promyshlennost, 2007, no. 1, 66–68

[27] Pryalov S. N., Seleznev V. E., “Chislennyi monitoring dolevogo uchastiya postavschikov gazoraspredelitelnykh sistem v ob'emakh postavok gaza konkretnym potrebitelyam”, Izvestiya RAN: Energetika, 2010, no. 1, 152–159

[28] Vapnik V. N. (red.), Algoritmy i programmy vosstanovleniya zavisimostei, Nauka, M., 1984 | MR | Zbl

[29] Gaidyshev I., Analiz i obrabotka dannykh: spetsialnyi spravochnik, Piter, SPb., 2001

[30] Seleznev V. E., Kiselev V. V., “Numerical Monitoring of Natural Gas Delivery Discrepancy for Cities Energy Preparedness”, Advances in Safety, Reliability and Risk Management, Proceeding of The European Safety and Reliability Conference, ESREL-2011, eds. Bérenguer, Grall Guedes Soares, CRC Press. Taylor Francis Group, London, 2012, 2605–2612

[31] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002

[32] Bertsekas D. P., Nonlinear programming, 2nd ed., Athena Scient, Belmont, 1999 | Zbl

[33] Minoux M., Mathematical Programming: Theory and Algorithms, John Wiley Sons, Inc., New York, 1986 | MR | Zbl

[34] Reklaitis G. V., Ravindran A., Ragsdell K. M., Engineering Optimization: Methods and Applications, John Wiley, Inc., New York, 1983 | MR

[35] Yukhno L. F., “Ob odnoi modifikatsii metodov tipa sopryazhennykh napravlenii”, Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki, 46:1 (2006), 7–11 | MR | Zbl

[36] Seleznev V. E., “Numerical monitoring of natural gas distribution discrepancy using CFD-simulator”, Journal of Applied Mathematics, 2010 (2010), 407648, 23 pp. | DOI | Zbl

[37] Seleznev V. E., “Nekotorye aspekty postroeniya kompyuternykh trenazherov dlya spetsialistov gazotransportnykh predpriyatii”, Bezopasnost truda v promyshlennosti, 2007, no. 1, 24–27