Investigation of an oscillatory multiphase flow in a double-porosity medium with a reactive skeleton. (English. Russian original) Zbl 1521.76828
J. Appl. Mech. Tech. Phys. 63, No. 5, 816-824 (2022); translation from Prikl. Mekh. Tekh. Fiz. 63, No. 5, 100-109 (2022).
Summary: The transition of filtration reactive flow in a double-porosity medium into a self-oscillating mode is studied. Flow stability is analyzed using numerical methods for solving multiphase filtration equations in a double-porosity medium. The region of development of self-oscillations is investigated depending on the external parameters of the system and the properties of the reactants.
MSC:
| 76S05 | Flows in porous media; filtration; seepage |
| 76T10 | Liquid-gas two-phase flows, bubbly flows |
| 76V05 | Reaction effects in flows |
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
Keywords:
gas-liquid filtration equation; self-oscillating mode; acidizing; implicit finite difference schemeReferences:
| [1] | L. N. Ikonnikova and A. B. Zolotukhin, “Evaluating the Effectiveness of Measures to Intensify Production during Salt-Acid Treatment. Part. 1,” Nefteprom. Delo, No. 5, 33-38 (2019). |
| [2] | N. A. Karpunin, A. A. Ryazanov, L. N. Khromykh, and N. A. Shchukin, “Modern Experience in Treating the Bottomhole Zone of a Terrigenous Formation Using Acid Compositions,” Vestn. Evraz. Nauki 10 (4) (2018). |
| [3] | Rana, Chinar; De Wit, Anne, Reaction-driven oscillating viscous fingering, Chaos: An Interdisciplinary Journal of Nonlinear Science, 29, 043115-043115 (2019) · Zbl 1412.35350 · doi:10.1063/1.5089028 |
| [4] | A. I. Krikunova, “M-Shaped Flame Dynamics: Numerical Simulation Results,” AIP Conf. Proc. 2304 (1), 020023 (2020). |
| [5] | Arefyev, K. Y.; Krikunova, A. I.; Panov, V. A., Experimental Study of Premixed Methane-Air Flame Coupled with an External Acoustic Field, J. Phys.: Conf. Ser., 147, 012050-012050 (2019) |
| [6] | A. A. Tairova, G. V. Belyakov, and S. Y. Chervinchuk, “Ablation in the Slit in Combustion,” AIP Conf. Proc. 1909 (1), 020216 (2017). |
| [7] | Zavialov, I. N.; Konyukhov, A. V.; Plavnik, R. A.; Plyashkov, E. V., Laboratory study of oscillatory multiphase flow in porous medium with chemically active skeleton, Physica Scripta, 94, 044005-044005 (2019) · doi:10.1088/1402-4896/aafd5e |
| [8] | Zavialov, I.; Varov, A.; Salikhov, R., Laboratory Modeling of Flow with Gas-Producing Reaction in Porous Media, Journal of Porous Media, 21, 887-893 (2018) · doi:10.1615/JPorMedia.2018018942 |
| [9] | Konyukhov, A. V.; Zavialov, I. N., Numerical Investigation of Oscillatory Multiphase Flow in Porous Medium with Chemically Active Skeleton, J. Phys.: Conf. Ser., 774, 012059-012059 (2016) |
| [10] | Zhu, Zhouyuan; Liu, Yanni; Liu, Canhua, In-situ combustion frontal stability analysis, SPE Journal, 26, 2271-2286 (2019) · doi:10.2118/195318-PA |
| [11] | Bazargan, Mohammad; Kovscek, Anthony R., Pulsating linear in situ combustion: why do we often observe oscillatory behavior?, Computational Geosciences, 22, 1115-1134 (2018) · Zbl 1403.80010 · doi:10.1007/s10596-018-9741-9 |
| [12] | Plavnik, R. A.; Zavialov, I. N.; Konyukhov, A. V.; Vetoshkin, D. S., Determination of the Transition Curve between Flow Regimes during Filtration of an Acid Solution through a Reactive Porous Medium, Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 8, 349-358 (2021) · doi:10.21638/spbu01.2021.214 |
| [13] | Baryshnikov, A.; Belyakov, G. V.; Tairova, A. A.; Filippov, A. N., Filtration of Suspension of Heavy Particles through a Porous Medium, Petroleum Chemistry, 56, 360-366 (2016) · doi:10.1134/S0965544116040022 |
| [14] | A. Koldoba, A. Konyukhov, and L. Pankratov. “Upscaling of Two-Phase Flow with Chemical Reactions in Double Porosity Media,” in Recueil des Actes 24 Congr. Français de Mécanique, Brest (France), 26-30 Août, 2019, pp. 2455-2474. |
| [15] | Konyukhov, A.; Pankratov, L.; Voloshin, A., Appearance of the instability from the inhomogeneity in two-phase flow with gas-producing reaction in fractured porous medium, Physics of Fluids, 33, 16604-16604 (2021) · doi:10.1063/5.0038100 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
