Influence of Characteristic Distance Between Wells on the Efficiency of Reserves Production in a Fractured Reservoir
https://doi.org/10.18599/grs.2025.4.22
Abstract
Fractured reservoirs are widespread and contain a significant share of hydrocarbon reserves. At the same time, the fracturing of rocks has a significant impact on the processes of oil field development. In particular, the use of flooding of fractured reservoirs can lead to rapid water breakthroughs to production wells. In this regard, it is important to study the characteristic distance between wells (well grid density) on the efficiency of reserve development in a fractured reservoir. The paper considers two-dimensional two-phase fluid flow of incompressible fluids in a fractured-porous reservoir. The study was carried out using the example of three variants of fracture systems with the same density, characterized by different degrees of connectivity. These fracture systems were obtained by random generation, with each fracture having a random position and orientation. The distribution of fracture length follows a power law. Simulation of fluid flow in a fractured-porous medium was carried out using a discrete fracture model. The influence of the characteristic distance between wells on the efficiency of reserve development was studied.
The study of equivalent permeability and oil recovery factor on the characteristic distance between wells showed that in a fractured reservoir, the placement of production and injection wells at small distances from each other, depending on the structure of the fracture system, can be either ineffective or associated with an increased risk.
Keywords
About the Authors
D. Yu. LegostaevRussian Federation
Dmitry Yu. Legostaev – Junior Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences
74 Taimyrskaya St., Tyumen, 625026
S. P. Rodionov
Russian Federation
Sergey P. Rodionov – Dr. Sci. (Physics and Mathematics), Chief Researcher, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences
74 Taimyrskaya St., Tyumen, 625026
O. N. Pichugin
Russian Federation
Oleg N. Pichugin – Cand. Sci. (Physics and Mathematics), Deputy Director of PINSH – Head of the Department of Oil and Gas Engineering
186a Sovetskaya St., Almetyevsk, 423462
A. S. Ilyin
Russian Federation
Anton S. Ilyin – Research Engineer, Tyumen Branch of the Khristianovich Institute of Theoretical and Applied Mechanics of the Siberian Branch of the Russian Academy of Sciences
74 Taimyrskaya St., Tyumen, 625026
References
1. Bakhtizin R.N., Nurgaliev R.Z., Fattakhov I.G., Semanov A.S., Semanova A.I. (2023). Designing horizontal wells in carbonate reservoirs using geological and hydrodynamic modeling tools. SOCAR Proceedings, Special Issue, pp. 46–51. https://doi.org/10.5510/ogp2023si100829
2. Barenblatt G.I., Zheltov Yu.P., Kochina I.N. (1960). On the basic concepts of the theory of filtration of homogeneous liquids in fractured rocks. Applied Mathematics and Mechanics, 24(5), pp. 852–864. (In Russ.)
3. Blonskiy A.V., Mitrushkin D.A., Savenkov E.B. (2017). Modeling of flows in a discrete system of fracture: a physical and mathematical model. Preprints of the Keldysh Institute of Applied Mathematics, 65, 28 p. (In Russ.) https://doi.org/10.20948/prepr-2017-65
4. Bonnet E., Bour O., Odling N.E., Davy P., Main I., Cowie P., Berkowitz B. (2001). Scaling of fracture systems in geological media. Reviews of Geophysics, 39, pp. 347–383. https://doi.org/10.1029/1999RG000074
5. Bour O., Davy P. (1997). Connectivity of random fault networks following a power law fault length distribution. Water resources research, 33(7), pp. 1567–1583. https://doi.org/10.1029/96WR00433
6. Geuzaine C., Remacle J.-F. (2009). Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities. International Journal for Numerical Methods in Engineering, 79(11), pp. 1309–1331. https://doi.org/10.1002/nme.2579
7. Gutierrez M., Youn D. (2015). Effects of fracture distribution and length scale on the equivalent continuum elastic compliance of fractured rock masses. Journal of Rock Mechanics and Geotechnical Engineering, 7(6), pp. 626–637. https://doi.org/10.1016/j.jrmge.2015.07.006
8. Kanevskaya R. D. (2002). Mathematical modeling of hydrodynamic processes of hydrocarbon deposit development. Moscow-Izhevsk: Institute of Computer Research, 140 p. (In Russ.)
9. Karimi-Fard M., Durlofsky L.J., Aziz.K. (2004). An Efficient DiscreteFracture Model Applicable for General-Purpose Reservoir Simulators. SPE Journal (SPE 88812), pp. 227–236. https://doi.org/10.2118/88812-PA
10. Kharrat R., Ott H. (2023). A Comprehensive Review of Fracture Characterization and Its Impact on Oil Production in Naturally Fractured Reservoirs. Energies, 16(8), 3437. https://doi.org/10.3390/en16083437
11. Legostaev D.Yu., Rodionov S.P. (2021). Numerical study of two-phase filtration in a fractured porous medium based on poroelasticity and discrete fractures models. Applied Mechanics and Technical Physics, 62(3), pp. 126–136. (In Russ.) https://doi.org/10.15372/PMTF20210312
12. Legostaev D.Yu., Rodionov S.P. (2023). Numerical study of the influence of the structure of the crack system on fluid filtration in a poroelastic medium. Izvestiya ran. Mechanics of Liquids and Gases, 4, pp. 93–107. (In Russ.) https://doi.org/10.31857/S1024708422600543
13. Legostaev D.Yu., Rodionov S.P. (2024). Numerical Investigation of the Structure of Fracture Network Impact on Interwell Conductivity. Lobachevskii Journal of Mathematics, 45(5), pp. 2076–2084. https://doi.org/10.1134/ S1995080224602261
14. Lei Q., Wang X. (2016). Tectonic interpretation of the connectivity of a multiscale fracture system in limestone. Geophysical Research Letters, 43, pp. 1551–1558. https://doi.org//10.1002/2015GL067277
15. Liu R., Li B., Jiang Y., Huang N. (2016). Review: Mathematical expressions for estimating equivalent permeability of rock fracture networks. Hydrogeology Journal, 24(7), pp.1623–1649. https://doi.org/10.1007/s10040-016-1441–8
16. Lushpeev V.A., Sokolov A.N., Galtseva O.A., Salimgareeva E.M. (2023). Methodological framework for tight reserve provement for a carbonate reservoir. Actual Problems of Oil and Gas, 2(41), pp. 201–215. (In Russ.) https://doi.org/10.29222/ipng.2078-5712.2023-41.art14
17. Nelson R.A. (2001). Geologic Analysis of Naturally Fractured Reservoirs. 2nd ed. Gulf Professional Publishing, 352 p. https://doi.org/10.1016/B978-088415317-7/50004-X
18. Pergament A.Kh., Tomin P.Yu. (2011). On study of relative phase permeabilities for anisotropic media. Matem. modeling, 23(5), pp. 3–15. (In Russ.)
19. Pichugin O. N., Rodionov S.P., Solyanoy P.N., Gavris A.S., Kosyakov V.P., Kosheverov G.G. (2015). Waterflood optimization principles for fields with low-amplitude tectonic faults. SPE Russian Petroleum Technical Conference, SPE-176697-MS. (In Russ.) https://doi.org/10.2118/176697-MS
20. Shchekin A.I., Vasiliev V.A., Nikolaychenko A.S., Kolomiytsev A.V. (2021). Field classification of fractured reservoirs of crystalline basement. Georesursy = Georesources, 23(3), pp. 90–98. (In Russ.) https://doi.org/10.18599/grs.2021.3.12
21. Vladimirov I.V., Nadyrov A.I. (2016). Influence of the distance between gorizontal wells trunks on oil recovery coefficient. Sciences of Europe, 7–2(7), pp. 18–23. (In Russ.)
22. Warren J.E., Root P.J. (1963). The Behavior of Naturally Fractured Reservoirs. Society of Petroleum Engineers Journal, 3(03), pp. 245–255. https://doi.org/10.2118/426-PA
23. Zakharov V.S. (2008). Characteristics of self-similarity of seismicity and active fault networks in Eurasia. Electronic scientific publication “GEOrazrez”, 1(1), pp. 1–20. (In Russ.)
24. Zakirov S.N. (2002). Analysis of the problem “well grid density - oil recovery”. Moscow: Graal, 314 p. (In Russ.)
25. Zheltov Yu.P. (1986). Development of oil fields. Moscow: Nedra, 333 p. (In Russ.)
26. Zhukov V.S., Motorygin V.V. (2022). Distribution of fractured reservoirs in the Chayanda field (Eastern Siberia). Georesursy = Georesources, 24(3), pp 84–89. (In Russ.) https://doi.org/10.18599/grs.2022.3.7
Review
For citations:
Legostaev D.Yu., Rodionov S.P., Pichugin O.N., Ilyin A.S. Influence of Characteristic Distance Between Wells on the Efficiency of Reserves Production in a Fractured Reservoir. Georesursy = Georesources. 2025;27(4):246-253. (In Russ.) https://doi.org/10.18599/grs.2025.4.22








.png)

