Geodesic
Solution problems of oil recovery with waterflood using polymer-disperse systems on multiprocessor computer systems
Matematičeskoe modelirovanie, Tome 28 (2016) no. 8, pp. 112-126.

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The paper presents results of a numerical simulation of the impact of a polymer-dispersed systems on oil reservoirs in order to increase the flow resistance of flooded areas and to involve in active development a non-moving or slow moving oil reserves. Mathematical model of this process was built on the basis of the known laws of conservation of mass and momentum. Capillary model of a porous medium was used for construction of a closure relations that allows us to describe the formation of polymer-disperse components and their influence on the porous medium. The complexity of solving the problem of impact of polymer-dispersed systems on the process of displacement of oil by water from porous medium is related to the three-dimensionality, non-stationarity processes of filtration, as well as the need to calculate the fields of polymer concentration, pressure and saturation fields, structural changes in porosity and permeability at each time step and at each point in space. All these factors require a significant computer time and resources. The paper presents a parallel implementation of the algorithm for multiprocessor computer system using the MPI library. Calculations on a real field have shown efficiency of the algorithm.
Keywords: flooding, polymer-dispersed system, porosity, permeability, parallel computing, multiprocessing system. 
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A. I. Nikiforov; R. V. Sadovnikov. Solution problems of oil recovery with waterflood using polymer-disperse systems on multiprocessor computer systems. Matematičeskoe modelirovanie, Tome 28 (2016) no. 8, pp. 112-126. http://geodesic.mathdoc.fr/item/MM_2016_28_8_a7/

[1] A. A. Gazizov, Uvelichenie nefteotdachi neodnorodnykh plastov na pozdnei stadii razrabotki, Nedra-Biznestsentr, M., 2002, 639 pp.

[2] A. Sh. Gazizov, O mekhanizme deistviia polimerdispersnykh sistem na obvodnennye produktivnye plasty, Dep. ruk. No 1315/ng, VNIIOENG, M., 1986, 15 pp.

[3] A. Sh. Gazizov, A. A. Gazizov, Povyshenie effektivnosti razrabotki neftianykh mestorozhdenii na osnove ogranicheniia dvizheniia vod v plastakh, Nedra-Biznestsentr, M., 1999, 285 pp.

[4] R. S. Khisamov, A. A. Gazizov, A. Sh. Gazizov, Uvelichenie okhvata produktivnykh plastov vozdeistviem, OAO «VNIIOENG», M., 2003, 568 pp.

[5] M. L. Surguchev, Regulirovanie protsessov ekspluatatsii neftianykh zalezhei, Nauka, M., 1977, 215–220 | MR

[6] A. Sh. Gazizov, A. I. Nikiforov, A. A. Gazizov, “Mathematical Model of Oil Displacement by Water with the Use of Polymer-Disperse Systems”, Journal of Engineering Physics and Thermophysics, 75 (2002), 120–125 | DOI

[7] A. I. Nikiforov, S. V. Anokhin, I. E. Timoshenko, A. A. Gazizov, A. Sh. Gazizov, “O modelirovanii potokootkloniaiushchikh tekhnologii vozdeistviia na neftianye plasty”, Izv. RAEN. Seriia MMMIU, 7:3–4 (2003), 25–43

[8] A. I. Nikiforov, I. E. Timoshenko, “Ob izmenenii funktsii raspredeleniia por i chastits po razmeram v protsesse vozdeistviia na neftianye plasty polimerdispersnymi sistemami”, Issledovano v Rossii, 2004, no. 115, 1232–1240

[9] A. I. Nikiforov, I. E. Timoshenko, A. Sh. Gazizov, A. A. Gazizov, “Formirovanie barerov v neodnorodnykh plastakh pri vytesnenii nefti polimerdispersnymi sistemami”, Izvestiia VUZov. Neft i gaz, 2005, no. 1, 34–42

[10] S. V. Anokhin, A. I. Nikiforov, I. E. Timoshenko, “O zamykaiushchikh sootnosheniiakh pri modelirovanii potokootkloniaiushchikh tekhnologii v neftedobyche”, IX Vserossiiskii s'ezd po teoreticheskoi i prikladnoi mekhanike (Nizhnii Novgorod, 22–28 avgusta 2006 g.), Izd-vo NGU, Nizhnii Novgorod, 2006, 14

[11] K. Nakahashi, K. Egami, “An Automatic Euler Solver Using the Unstructured Upwind Method”, Computers Fluids, 19:3/4 (1991), 273–286 | DOI | Zbl

[12] N. Taniguchi, T. Kobayashi, “Finite Volume Method on the Unstructured Grid System”, Computers Fluids, 19:3/4 (1991), 287–295 | DOI | Zbl

[13] A. I. Nikiforov, R. Kh. Nizaev, P. A. Solianov, “Blochnoe osrednenie modeli dvukhfaznoi filtratsii v treshchinovato-poristom plaste”, Modelirovanie protsessov fil'tratsii i razrabotki neftianykh mestorozhdenii, Sb. statei, ed. A. I. Nikiforov, In-t mekhaniki i mashinostroeniia KazNTs RAN, Kazan, 1992, 52–57 | MR

[14] A. I. Nikiforov, Iu. N. Nikandrov, A. A. Gazizov, “Ob otsenke effektivnosti primeneniia polimerdispersnykh sistem dlia povysheniia nefteotdachi plastov po opytnomu uchastku Aktashskogo bloka Novo-Elkhovskogo mestorozhdeniia”, Aktualnye problemy mekhaniki sploshnoi sredy, K 70-letiiu chl. korr. RAN M. A. Ilgamova, Kaz. gos. un-t, Kazan', 2004, 56–68

[15] L. V. Krugliakova, A. V. Neledova, V. F. Tishkin, A. Iu. Filatov, “Nestrukturirovannye adaptivnye setki dlia zadach matematicheskoi fiziki (obzor)”, Matem. modelirovanie, 10:3 (1998), 93–116 | MR | Zbl

[16] G. Adamson, M. Crick, B. Gane, O. Gurpinar, J. Hardiman, D. Ponting, “Simulation Throughout the Life of a Reservoir”, Oilfield Review, 2:2 (1996), 16–27 | Zbl

[17] A. I. Nikiforov, R. Kh. Nizaev, R. S. Khisamov, Modelirovanie potokootkloniaiushchikh tekhnologii v neftedobyche, Izd-vo «Fen» AN RT, Kazan, 2011, 224 pp.

[18] V. Ia. Bulygin, “Odnovremennaia fil'tratsiia dvukh zhidkostei v neftianom plaste”, Voprosy podzemnoi gidromekhaniki, Uch. zap. Kazanskogo un-ta, 125, no. 8, Izd-vo KGU, Kazan, 1966, 3–36

[19] R. I. Nigmatulin, Dynamics of Multiphase Media, v. 1, 2, Hemisphere, New York, 1990

[20] F. F. Craig and Society of Petroleum Engineer, The reservoir engineering aspects of waterflooding, H. L. Doherty Memorial Fund of AIME, New York, 1971, 134 pp.

[21] L. I. Kheifets, A. V. Neimark, Mnogofaznye protsessy v poristykh sredakh, Khimiia, M., 1982, 320 pp.

[22] Zhangxin Chen, Guanren Huan, Yuanle Ma, Computational Methods for Multiphase Flows in Porous Media, Computational Science and Engineering, 2, Soc. for Industrial and Applied Math., Philadelphia, PA, USA, 2006, 531 pp. | MR | Zbl

[23] A. N. Chekalin, G. V. Kudriavtsev, V. V. Mikhailov, Issledovanie dvukh- i trekhkomponentnoi fil'tratsii v neftianykh plastakh, Izd-vo Kazanskogo universiteta, Kazan, 1990, 147 pp.

[24] Iu. M. Shekhtman, Filtratsiia malokontsentrirovannykh suspenzii, Izd-vo AN SSSR, M., 1961, 161 pp.

[25] MPI: A Message Passing Interface (MPI) Standard, http://www.mcs.anl.gov/research/projects/mpi/