Particle transport by two-phase filtration flow from a porous medium under wave action
https://doi.org/10.18599/grs.2021.4.7
Abstract
The paper discusses the influence of wave action on the process of detachment and transport of particles from a porous body by a two-phase filtration flow. When modeling this process, the problem of the influence of the wave field on the force under the action of which the particles are detached from the pore walls is solved. For the first time, a pore-size distribution function is used for its solution. An expression for the critical flow velocity under wave action has been obtained. Critical frequency value of wave action depends on the capillary radius and the smaller the capillary radius is, the higher frequency is needed to enhance the effect of the action. At higher frequency of oscillation the peak of maximum change in the thickness of the sedimentary layer is shifted towards the pores of small radius. To maintain the influence of the wave field on the filtration parameters of the porous medium, the wave action should be carried out at a dynamically changing frequency range to increase the coverage of the effect of as many pores as possible. It is shown that particle transport during wave action increases due to the action of inertial forces, which reduce the influence of forces holding the particles on the pore surface.
About the Authors
A. I. NikiforovRussian Federation
Anatoly I. Nikiforov – DSc (Physics and Mathematics), Chief Researcher, Laboratory of Mathematical Modeling of Hydrogeological Processes, Institute of Mechanics and Engineering
2/31, Lobachevsky st., Kazan, 420111
R. V. Sadovnikov
Russian Federation
Roman V. Sadovnikov – PhD (Engineering), Senior Researcher, Laboratory of Mathematical Modeling of Hydrogeological Processes, Institute of Mechanics and Engineering
2/31, Lobachevsky st., Kazan, 420111
References
1. Aziz, Kh., Settary, A. (1979). Petroleum Reservoir Simulation, London: Applied Science Publ.
2. Gazizov A.Sh., Nikiforov A.I., Gazizov A.A. (2002). Mathematical Model of Oil Displacement by Water with the Use of Polymer-Disperse Systems. Inzhenerno-Fizicheskii Zhurnal = Journal Of Engineering Physics And Thermophysics, 75(1), pp. 91–94. https://doi.org/10.1023/A:1014878908997
3. Ganiev R.F., Ukrainsky L.E. (2008). Nonlinear wave mechanics and technology. Moscow: NITs “Regulyarnaya i khaoticheskaya dinamika”, 712 p. (In Russ.)
4. Gruesbeck C., Collins R.E. (1982). Entrainment and Deposition of Fine Particles in Porous Media. SPE Journal, pp. 847–856.
5. Kapranov Yu. I. (1989). Structural Model of Mechanical Colmatization of Porous Medium. Dynamics of Continuous Media. USSR Academy of Sciences, Siberian Branch, Institute of Hydrodynamics, vol. 90, pp. 27–39. (In Russ.)
6. Kapranov Y.I. (1999). About filtration of suspended solid particles. Prikladnaya matematika i mekhanika, 63(4), pp. 620–628. (In Russ.)
7. Kapranov Yu.I. (2000). Changes of pore structure in monodisperse suspension flow. Prikladnaya mekhanika i tekhnicheskaya fizika = Journal of Applied Mechanics and Technical Physics, 41(2), pp. 113–121. (In Russ.) https://doi.org/10.1007/BF02465273
8. Kuznetsov, O.L.; Simkin, E.M., Chilingar, J. (in Russian). (2001). Physical basis of vibration and acoustic effects on oil and gas reservoirs. Moscow: Mir, 260 p. (In Russ.)
9. Nikiforov A.I., Nizaev R.H., Khisamov R.S. (2011). Modelling of flowdeflecting technologies in oil production. Kazan: Fen, 224 p. (In Russ.)
10. Nikiforov A.I., Nikanshin D.P. (1998). Particle transfer by two-phase filtration flow. Matem. modelirovanie, 10(6), pp. 42–52. (In Russ.)
11. Nikiforov A.I., Sadovnikov R.V., Nikiforov G.A. (2013). About transport of dispersed particles by a two-phase filtration flow. Computational Continuum Mechanics, 6(1), pp. 47–53. (In Russ.) https://doi.org/10.7242/1999-6691/2013.6.1.6
12. Nikiforov, A.I., Sadovnikov, R.V. (2017). Solution of problems of oil reservoirs flooded with water using polymer–dispersed systems on a multiprocessor computer system. Math Models Comput Simul, 9, pp. 221–231. https://doi.org/10.1134/S2070048217020090
13. Nikiforov, A.I., Sadovnikov, R.V. (2019). Application of Parallel Programming Methods for Simulating Flow Diversion Technologies on Hybrid Architecture Computers. Program Comput Soft, 45, pp. 18–26. https://doi.org/10.1134/S0361768819010067
14. Selyakov V. I., Kadet V. V. (1995). Percolation models of transport processes in microheterogeneous media. Moscow: Nedra, 222 p. (In Russ.) https://doi.org/10.1007/978-94-015-8626-9
15. Sharma M.M., Yortsos Y.C. (1987). Transport of Particulate Suspensions in Porous Media: Model Formulation. AIChE Journal, 33(10), pp. 1636–1643.
16. Shechtman, Y.M. (1961). Filtration of low-concentration suspensions. Moscow: Nedra, 161 p. (In Russ.)
Review
For citations:
Nikiforov A.I., Sadovnikov R.V. Particle transport by two-phase filtration flow from a porous medium under wave action. Georesursy = Georesources. 2021;23(4):58-64. (In Russ.) https://doi.org/10.18599/grs.2021.4.7