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2018/4
On rational choice of boundary conditions in problems of hydraulic circuits analysis
Technical sciences

Authors: Mikhail G. SUKHAREV graduated from Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, in 1959. He is Honored Scientist of the Russian Federation, Doctor of Technical Sciences, Professor of the Department of Applied Mathematics and Computer Modeling of Gubkin University (National Research University). He is specialist in the field of mathematical modeling, technical cybernetics, analyst of oil and gas complex. He is author of about 300 monographs, articles in scientific and technical journals. E-mail: mgsukharev@mail.ru

Abstract: A brief reference is given on the mathematically correct problem statement and the solution stability in mathematical physics and computational mathematics. An example of an unstable computational procedure is presented for solving an engineering problem — the hydraulic calculation of a pipeline chain. To study the stability of the computational procedure, a sensitivity method is proposed, which makes it possible to determine the variations of output variables by variations of the input variables. Using the sensitivity method, the degree of stability of the calculation procedures is estimated depending on the totality of the boundary conditions necessary for the unique solvability of the problem of analyzing a hydraulic circuit

Index UDK: 519.95+518.5

Keywords: stability of computational procedures, correctness of problem statement, hydraulic circuits, sensitivity method

Bibliography:
1. Nekorrektnye zadachi estestvoznaniya. Pod red. A.N. Tihonova, A.V. Goncharskogo. M.: Izd-vo MGU, 1987, 304 p. (in Russian).
2. Tihonov A.N., Kostomarov D.P. Vvodnye lekcii po prikladnoj matematike. M.: Nauka, 1984, 192 р. (in Russian).
3. Voskobojnikov YU.E., Micel’ A.A. Nekorrektnye zadachi matematicheskoj fiziki. Lekcionnyj kurs: Uchebnoe posobie. Tomskij gos. un-t sistem upravleniya i radioehlektroniki (TUSUR). Tomsk, 2018, 126 p. (in Russian).
4. Sharyj S.P. Kurs vychislitel’nyh metodov. Novosibirsk, 2012, 316 p. (in Russian).
5. Sheberstov E.V. O tochnosti rascheta magistral’nogo gazoprovoda. “Gazovaya promyshlennost’”, 1973, no. 11, p. 14-16 (in Russian).
6. Suharev M.G., Stavrovskij E.R. Optimizaciya sistem transporta gaza. M.: “Nedra”, 1975, 277 p. (in Russian).
7. Merenkov A.P., Hasilev V.YA. Teoriya gidravlicheskih cepej. Moskva, Nauka, 1985, 278 p. (in Russian).
8. Suharev M.G., Samojlov R.V. Analiz i upravlenie stacionarnymi i nestacionarnymi rezhimami transporta gaza. M.: RGU nefti i gaza (NIU) imeni I.M. Gubkina. 2016. — 399 s. (in Russian).
9. Epifanov S.P., Novickij N.N. Metody postroeniya matric chuvstvitel’nosti gidravlicheskih cepej. Trudy XIII Bajkal’skoj mezhdunarodnoj shkoly-seminara “Metody optimizacii i ih prilozheniya”. Irkutsk: ISEHM SO RAN, 2005, tom 5, p. 125-130 (in Russian).
10. Epifanov S.P., Novickij N.N., Borovin D.I. Razvitie modelej i metodov analiza chuvstvitel’nosti gidravlicheskih cepej. V kn.: Truboprovodnye sistemy ehnergetiki: Metodicheskie i prikladnye problemy matematicheskogo modelirovaniya. Novosibirsk: Nauka, 2015, p. 288-294 (in Russian).
11. Borovin D.I., Epifanov S.P., Novickij N.N. Razvitie modelej i metodov analiza chuvstvitel’nosti gidravlicheskih cepej. Trudy XIV Vserossijskogo nauchnogo seminara, p. 93-102 (in Russian).
12. Korel’shtejn L.B. Sushchestvovanie, edinstvennost’ i monotonnost’ resheniya zadachi potokoraspredeleniya v gidravlicheskih cepyah s zavisyashchimi ot davleniya zamykayushchimi sootnosheniyami, 2017. URL: https://arxiv.org/abs/1708.07399 (in Russian).
13. Krupenyov D.S. Primenenie modelej chuvstvitel’nosti ustanovivshegosya rezhima ehlektroehnergeticheskih sistem dlya uchyota otkazov ehlementov. Issledovanie i obespechenie nadezhnosti sistem ehnergetiki: n.-tekhn. sbornik “Metodicheskie voprosy issledovaniya nadezhnosti bol’shih sistem ehnergetiki”. Irkutsk: ISEHM SO RAN, 2017, vyp. 68, p. 348-356 (in Russian).

2017/2
Method of pressure gages calibration while operation of gas mains and their systems
Geosciences

Authors: Mikhail G. SUKHAREV graduated from Lomonosov Moscow State University, Department of Mechanics & Mathematics in 1959. He is Doctor of Technical Sciences. Professor of the Department of Applied Mathematics and Computer Modeling at Gubkin Russian State University of Oil and Gas (National Research University). His area of expertise includes mathematical modelling, reliability theory, analytics of oil & gas complex. He is author of 20 monographs, 280 scientific publications.
E-mail: mgsukharev@mail.ru
Ksenia O. KOSOVA graduated from Gubkin Russian State University of Oil and Gas in 2014. She is postgraduate student of the Department of Applied Mathematics and Computer Modeling of Gubkin Russian State University of Oil and Gas (National Research University). She is author of 10 scientific publications in the field of modeling of oil and gas industry problems.
E-mail: kseniya_kosova@mail.ru

Abstract: A method of calibration of the measuring equipment designed for the current level of the gas-supply system information service. It uses standard measurements and does not require mounting additional diagnostic equipment. The method makes it possible to estimate systematic errors of measuring instruments during gas-supply systems operation. It is based on the algorithm of gas-supply system parameter identification. The mathematical model includes the identification of the following parameters: systematic errors of measuring instruments and coefficients of the technical state of gas-supply system objects.
Numerical experiments on multiline main gas pipelines demonstrated the method efficiency. Its inclusion in the specialized software will enable to improve the dispatching control of gas supply system.

Index UDK: 622.691.4: 53.089.6

Keywords: gas-supply system, measuring instruments calibration, pressure gages, systematic errors, parameter identification problem

Bibliography:
1. Zhu J., Abur A. Identification of network parameter errors. IEEE Trans. Power Syst., 2006, vol. 21, no. 2, p. 586-592.
2. Kolosok I.N., Korkina E.S., Gurina L.A. Analiz nadezhnosti rezul’tatov otsenivaniya sostoyaniya po dannym PMU pri kiberatakakh na WAMS [Vulnerability analysis of the state estimation problem based on PMU data under cyber attacks on WAMPS]. Metodicheskie voprosy issledovaniya nadezhnosti bol’shikh sistem energetiki. Aktual’nye problemy nadezhnosti sistem energetiki [Methodical research questions of the large-scale power systems reliability. Actual problems of energy systems reliability]. Minsk, 2015, vol. 66, p. 231-237 (in Russian).
3. Sukharev М.G., Samoylov R.V. Analiz i upravlenie statsionarnymi i nestatsionarnymi rezhi-mami transporta gaza [Analysis and control of steady and non-steady flow of gas transport]. Мoscow, 2016, 397 p.
4. STO Gazprom 2-3.5-051-2006. Production engineering standard of gas-main pipeline. Moscow, 2006, 198 p. (in Russian).
5. Sukharev М.G., Kosova K.О. Identifying parameters in gas supply systems models (method and computer experiment). Trudy RGU nefti i gaza imeni I.M. Gubkina [Proceedings of Gubkin Russian State University of Oil and Gas], 2014, no. 3, p. 60-68 (in Russian).
6. Sukharev М.G., Kosova K.О. Raspoznavanie urovnya rabotosposobnosti ob’ektov sistemy gazosnabzheniya po dispetcherskoy informatsii [Identification of operable state operability level of gas supply system object by dispatching information]. Metodicheskie voprosy issledovaniya nadezhnosti bol’shikh sistem energetiki. Aktual’nye problemy nadezhnosti sistem energetiki [Methodical research questions of the large-scale power systems reliability. Actual problems of energy systems reliability]. Syktyvkar, 2016, vol. 67, p. 110-119 (in Russian).

2014/3
Identifying parameters in gas supply systems models (method and computer experiment)
Design, construction and operation of pipeline transport

Authors: Michael G . SUKHAREV was born in 1937. He graduated from the M.V. Lomonosov Moscow State University in 1959. He is Doctor of Technical Sciences, Professor of the De-partment of Applied Mathematics and Computer Modeling of Gubkin Russian State University of Oil and Gas. He is author of more than 197 scientific works, including 14 monographs. E-mail: mgsuknarev@mail.ru
Xenia O. KOSOVA is student of the Department of Applied Mathematics and Computer Modeling of Gubkin Russian State University of Oil and Gas. E-mail: kseniya_kosova@mail.ru

Abstract: The problem of identifying a gas supply system is considered. It is assumed that measurement errors are normally distributed. Estimating coefficients of hydraulic resistance is reduced to a constrained optimization problem with constraints in the form of equations. An algorithm for solving the problem is proposed. The algorithm is tested by computational experiments on a specific example of the calculation of the pipeline system

Index UDK: УДК 532.542.1:66.011

Keywords: gas supply system, identification, coefficient of hydraulic resistance, optimization problem

Bibliography:
1. Bard Y. Nonlinear Parameter Estimation. NY, S. Francisco, London, 1974, 352 p.
2. Novitskiy N.N. Otsenivanie parametrov gidravlicheskikh tsepey [Hydraulic circuit paramete-rization]. Novosibirsk, 1998, 214 p. (in Russian).
3. Evdokimov A.G., Tevyashev A.D. Operativnoe upravlenie potokoraspredeleniem v inzhenernykh setyakh [Operational control of pipelines and networks flux-distribution]. Kharkov, 1980, 144 p. (in Russian).
4. Sukharev M.G., Karasevich A.M. Tekhnologicheskiy raschet i obespechenie nadezhnosti gazo- i nefteprovodov [Process design and reliability control of gas and oil pipeline]. Moscow, 2000, 272 p. (in Russian).
5. STO Gazprom 2—3.5—051—2006. Production engineering standard of gas-main pipeline (in Russian).

2010/1
Systemic approach to decision-making for developing and reconstruction of regional gas transportation systems
Design, construction and operation of pipeline transport

Authors: Mihail G. SUKHAREV. Doctor of technical sciences, prof., head of the Dept. of Ap- plied Mathematics and Computer Modeling of Gubkin Russian State University of Oil and Gas.
Vitaliy S. SHELEKЕTA. Post-graduate student of Dept. of Applied Mathematics and Computer Modeling of Gubkin Russian State University of Oil and Gas. E-mail: V.Sheleketa@promgaz.gazprom.ru

Abstract: Am approach to the choice of a rational variant of designing a gas main on a multi-criteria basis is suggested. Systemic factors, aspects of systematization and the process of applying an expert logical analysis for grounded decision-making for development and reconstruction of gas mains are described. A case study illustrating the approach is presented

Index UDK: 622.691.4

Keywords: multi-criteria choice, gas main, systemic factors, systemic approach, aspects of systematization, expert logical analysis

Bibliography: