Preview

Georesources

Advanced search

Non-linear filtration models and the effect of nonlinearity parameters on flow rates in low-permeability reservoirs

https://doi.org/10.18599/grs.2021.4.5

Abstract

Filtration of oil in low-permeable reservoirs is considered. The experimental data of dependence of filtration velocity on pressure gradient are analysed. It is shown that the filtration law in low-permeability reservoirs differs from the linear Darcy’s law and from the non-linear law with an initial pressure gradient. The power law of filtration in low-permeability reservoirs is experimentally substantiated. Models of nonlinear filtration influence on flow rate are proposed. The analysis of influence of nonlinear filtration parameters on flow rate in technogenically modified near-wellbore zone is carried out.

About the Authors

M. V. Zaitsev
Oil and Gas Research Institute of the Russian Academy of Sciences
Russian Federation

Mikhail V. Zaitsev – PhD (Engineering), Senior Researcher

3 Gubkin st., Moscow, 119333



N. N. Mikhailov
National University of Oil and Gas “Gubkin University”; Oil and Gas Research Institute of the Russian Academy of Sciences
Russian Federation

Nikolai N. Mikhailov – DSc (Engineering), Professor;

Chief Researcher

65/1 Leninsky av., Moscow, 119991



E. S. Tumanova
Branch of LUKOILEngineering VolgogradNIPImorneft in Volgograd
Russian Federation

Ekaterina S. Tumanova – Engineer

96 V.I. Lenin st., Volgograd



References

1. Baoquan Z., Linsong C., Chunlan L. (2011). Low velocity non-linear flow in ultra-low permeability reservoir. Journal of Petroleum Science and Engineering, 80, рp. 1–6. https://doi.org/10.1016/j.petrol.2011.10.006

2. Basniev K.S., Kochina I.N., Maksimov V.M. (1993). Underground hydromechanics. Moscow: Nedra, 416 p. (In Russ.)

3. Baykov V.A., Galeev R.R., Kolonskikh A.V. et al. (2013). Nonlinear filtration in low permeability reservoirs. Analysis and interpretation of the results of core laboratory studies of Priobskoe field. Nauchno-tekhnicheskiy vestnik OAO NK ROSNEFT’, 2(31), pp. 8–12. (In Russ.)

4. Hao F., Cheng L.S., Hassan O., Hou J., Liu C.Z., Feng J.D. (2008). Threshold Pressure Gradient in Ultra-low Permeability Reservoirs. Petroleum Science and Technology, 26(9), pp. 1024–1035. https://doi.org/10.1080/10916460701675033

5. Levorsen A.I. (1967). Geology of Petroleum. San Francisco: W.H. Freeman and Company, 724 p.

6. Li Syuanzhan (2015). Nonlinear water filtration in low permeability reservoirs. Nauchno-tekhnicheskiy sbornik Vesti gazovoy nauki, 3(23), pp. 116–121. (In Russ.)

7. Lobkovsky, L.I.; Ramazanov, M.M. (2019). Towards a theory of filtration in a medium with double porosity. Doklady Akademii Nauk, 484(3), pp. 348–351. https://doi.org/10.31857/S0869-56524843348-351

8. Markhasin, I.L. (1977). Physical and chemical mechanics of an oil reservoir. Moscow: Nedra, 214 p. (In Russ.)

9. Mikhailov N. N. (2008). Physics of an oil and gas reservoir (physics of oil and gas reservoir systems). Moscow: MAX Press, 448 p. (In Russ.)

10. Mikhailov N.N., Motorova K.A., Sechina L.S. (2019). Wettability of oil and gas reservoir systems. Moscow: Gubkin Russian State University of Oil and Gas, 360 p. (In Russ.)

11. Wang Xue-Wu, Yang Zheng-Ming, Qi Ya-dong, huang Yan-zhang (2011). Effect of absorption boundary layer on nonlinear flow in low permeability porous media. Journal of Central South University of Technology, 18, рp. 1299−1303. https://doi.org/10.1007/s11771-011-0836-x

12. Xiong W., Lei Q., Gao S. et al. (2009). Pseudo threshold pressure gradient to flow for low permeability reservoirs. Petroleum Exploration and Development, 36, pp. 232–236. https://doi.org/10.1016/S1876-3804(09)60123-3

13. Zaitsev M.V., Mikhailov N.N. (2004). Influence of the near-wellbore zone on well productivity. Neftyanoe khozyaystvo = Oil Industry, 1, pp. 64–66. (In Russ.)


Review

For citations:


Zaitsev M.V., Mikhailov N.N., Tumanova E.S. Non-linear filtration models and the effect of nonlinearity parameters on flow rates in low-permeability reservoirs. Georesursy = Georesources. 2021;23(4):44-50. (In Russ.) https://doi.org/10.18599/grs.2021.4.5

Views: 240


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 1608-5043 (Print)
ISSN 1608-5078 (Online)