Article information

2014 , Volume 19, ¹ 4, p.3-18

Bocharov O.B., Kushnir D.Y.

Numerical algorithms analysis of joint fluid flow modeling in formation, perforation tunnels and a borehole

A numerical algorithm for computation of a fluid flow into a borehole through a system of perforation tunnels is proposed. The algorithm considers filtration in a porous medium, flow in perforation tunnels and a borehole. The porous medium filtration is described in the full, three dimensional formulation, and the perforation tunnels and borehole fluid flow equations are hydraulic-approximated. Matching conditions for the joint algorithm are described. A comparison of some algorithms for modeling laminar and turbulent tunnel and borehole flow regimes is presented. The effective algorithm for computation of the joint fluid flow in a formation, perforation tunnels and a borehole has been developed. The algorithm is based on an analysis of schemes for conjugating three- and one-dimensional models. This algorithm is appropriate for industrial optimization of oil production through a system of perforation tunnels. Using the algorithm we have analyzed the perforation tunnels and borehole flow influence on the whole system productivity. It is pointed out that the convective fluid transport slightly influences on the whole system productivity under the operational conditions. The analysis demonstrates that the tunnels and borehole cleanness effects on the productivity in a stronger manner that the pressure regime.

Received 29 April 2014.

[full text]
Keywords: Filtration in porous medium, hydraulic approach, perforation tunnel, borehole, multicomponent mathematical models, consistent numerical algorithms, matching conditions

Author(s):
Bocharov Oleg Borisovich
PhD. , Associate Professor
Position: Research Scientist
Office: Baker Hughes Incorporation
Address: 630128, Russia, Novosibirsk, Kutateladze 4a
Phone Office: (383) 3329443
E-mail: Oleg.Bocharov@bakerhughes.com

Kushnir Dmitry Yurievich
Position: Research Scientist
Office: Baker Hughes Incorporation
Address: 630128, Russia, Novosibirsk, Kutateladze 4a
Phone Office: (383) 3329443
E-mail: Dmitry.Kushnir@bakerhughes.com

References:
[1] Bulàtov A.I., Makarenko P.P., Budnikov V.F., Basarygin Ju.M. Teorija i praktika zakanchivanija skvazhin [The Theory and Practice of Well Completion]. V 5 tomah. Pod red. A.I. Bulatova. Moscow: Nedra; 1998. 5. 375. (In Russ.)
[2] Karakas M., Tariq S.M. Semianalytical Productivity Models for Perforated Completions . SPE Production Engineering. February. 1991; 6(1): 73-82.
[3] Ansah J., Proett M.A., Soliman M.Y. A New 3D Finite-Element Wellbore Inflow Model for Optimizing Performance of Perforated Completions . International Symposium and Exhibition on Formation Damage Control. Lafayette. February. 2002. 1–11.
[4] Sun D., Li B., Gladkikh M., Satti R., Evans R. Comparison of Skin Factors for Perforated Completions Calculated with Computational Fluid Dynamics Software and a Semi-Analytical Model. SPE European Formation Damage Conf. Noordwijk. June. 2011. 1-15.
[5] Sohoshko S.K. Razvitie teorii fil’tracii k pologim i gorizontal’nym gazovym i neftjanym skvazhinam i ejo primenenie dlja reshenija prikladnyh zadach [Development of Filtration Theory for Near-Horizontal and Horizontal Oil and Gas Boreholes and Its Applications]. Doctoral Dissertation. Tyumen. TjumGNGU, 2008. 212 . (In Russ.)
[6] Rudjak V.Ja., Bocharov O.B., Kushnir D.Ju. Jeffektivnyj algoritm raschjota pritoka fljuida v skvazhinu cherez sistemu perforacionnyh kanalov [Effective Algorithm for Calculating Fluid Inflow to Borehole via System of Perforation Tunnels]. Vychisl. tehnologii. 2013; 18(2): 72-83. (In Russ.)
[7] Antoncev S.N., Epihov G.P., Kashevarov A.A. Sistemnoe matematicheskoe modelirovanie processov vodoobmena [Systemic Mathematical Modeling of Water Exchange Processes]. Novosibirsk: Nauka; 1986. 216. (In Russ.)
[8] Kushnir D.Ju., Bocharov O.B. Analiz shem perforacii sloistogo plasta na osnove matematicheskogo modelirovanija [Analysis of Schemes of Perforation of bedded Deposits on the Basis of Mathematical Modeling]. Geologija, geofizika i razrabotka neftjanyh i gazo¬vyh mestorozhdenij. 2013; 7: 16-21. (In Russ.)
[9] Kollinz R. Flow of Fluids Through Porous Materials. Reinhold, New York, 1961. 283.
[10] Andreev V.B., Krjakvina S.A. O funkcii istochnika setochnogo operatora Laplasa [The Function of the Source of the Cellular Laplace Operator]. Zhurn. vychisl. matematiki i matem. fiziki. 1972; 12(2): 364-373. (In Russ.)
[11] Popov D.N. Dinamika i regulirovanie gidro- i pnevmosistem [Dynamics and Regulation of Hydrosystems and Pneumatic Systems]. Moscow: Mashinostroeniye; 1977. 425. (In Russ.)
[12] Kurganov A.M., Fjodorov N.F. Spravochnik po gidravlicheskim raschjotam sistem vo-dosnabzhenija i kanalizacii [Handbook of Hydraulic Computations for Water and Sewer Systems]. Leningrad: Stroyizdat; 1973. 408. (In Russ.)
[13] Lojcjanskij L.G. Mehanika zhidkosti i gaza [Handbook of Hydraulic Computations for Water and Sewer Systems]. Moscow/Leningrad: Stroyizdat; 1950. 678. (In Russ.)
[14] Samarskij A.A., Nikolaev E.S. Metody reshenija setochnyh uravnenij [Methods of Solving Grid Equations]. Moskow: Nauka; 1978. 592. (In Russ.)
[15] Muskat M. The Flow of Homogeneous Fluids through Porous Media. J. W. Edwards, Inc. Ann Arbor, Michigan; 1950. 770.
[16] Sinor A., Powers J., Ripp C., Lovin S., McEntire M. Unique Field Research Facility Designed to Accelerate New Technology Development and Enhance Tool Reliability. AADE 01-NC-HO-36 presented at the AADE 2001 National Drilling Conference. Houston, TX, March, 2001. 27-29.

Bibliography link:
Bocharov O.B., Kushnir D.Y. Numerical algorithms analysis of joint fluid flow modeling in formation, perforation tunnels and a borehole // Computational technologies. 2014. V. 19. ¹ 4. P. 3-18
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