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. ZaitsevRussian Federation
Mikhail V. Zaitsev – PhD (Engineering), Senior Researcher
3 Gubkin st., Moscow, 119333
N. N. Mikhailov
Russian Federation
Nikolai N. Mikhailov – DSc (Engineering), Professor;
Chief Researcher
65/1 Leninsky av., Moscow, 119991
E. S. Tumanova
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