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Erschienen in: Fluid Dynamics 2/2020

01.03.2020

Instability of a Light Fluid over a Heavy One under the Motion of Their Interface in a Porous Medium

verfasst von: G. G. Tsypkin

Erschienen in: Fluid Dynamics | Ausgabe 2/2020

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Abstract—

The stability of the moving interface between a gas and a liquid in a porous medium is considered. The gas region is assumed to be located above the region saturated with liquid. The applications of the problem to the underground water flow through a porous medium and the motion of oil in an oil field with gas cap are considered. It is shown that the interface becomes unstable when underground water moves in the nonwettable medium and in the medium with a capillary pressure gradient, as well as in oil field operation when the reservoir pressure becomes lower than the gas-cap pressure. In the presence of the dissolved admixture such an instability can lead to soil salinization, while in oil field operation the instability can lead to formation of residual oil.

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Literatur
1.
Zurück zum Zitat Homsy, G.M., Viscous fingering in porous media, Ann. Rev. Fluid Mech., 1987, vol. 19, pp. 271–311.ADSCrossRef Homsy, G.M., Viscous fingering in porous media, Ann. Rev. Fluid Mech., 1987, vol. 19, pp. 271–311.ADSCrossRef
2.
Zurück zum Zitat Nield, D.A. and Bejan, A., Convection in Porous Media, New York: Springer, 2006.MATH Nield, D.A. and Bejan, A., Convection in Porous Media, New York: Springer, 2006.MATH
3.
Zurück zum Zitat Rostami, B., Kharrat, R., Ghotbi, C., and Tabatabaie, S.H., Gas–oil relative permeability and residual oil saturation as related to displacement instability and dimensionless numbers, Oil and Gas Sci. Technol.: Rev. IFP., 2010, vol. 65, no. 2, pp. 299–313.CrossRef Rostami, B., Kharrat, R., Ghotbi, C., and Tabatabaie, S.H., Gas–oil relative permeability and residual oil saturation as related to displacement instability and dimensionless numbers, Oil and Gas Sci. Technol.: Rev. IFP., 2010, vol. 65, no. 2, pp. 299–313.CrossRef
4.
Zurück zum Zitat Kim, V.C., Kim, S., Chung, B.-J., and Choi, C.K., Convective instability in a horizontal porous layer saturated with oil and a layer of gas underlying it, Int. Comm. Heat Mass Transfer, 2003, vol. 30, no. 2, pp. 225–234.CrossRef Kim, V.C., Kim, S., Chung, B.-J., and Choi, C.K., Convective instability in a horizontal porous layer saturated with oil and a layer of gas underlying it, Int. Comm. Heat Mass Transfer, 2003, vol. 30, no. 2, pp. 225–234.CrossRef
5.
Zurück zum Zitat Tsypkin, G.G. and Brevdo, L., A phenomenological model of the increase in solute concentration in ground water due to the evaporation, Transport in Porous Media, 1999, vol. 37, no. 2, pp. 129–151.CrossRef Tsypkin, G.G. and Brevdo, L., A phenomenological model of the increase in solute concentration in ground water due to the evaporation, Transport in Porous Media, 1999, vol. 37, no. 2, pp. 129–151.CrossRef
6.
Zurück zum Zitat Rose D.A., Konukcul, F., and Gowing, J.W., Effect of watertable depth on evaporation and salt accumulation from saline groundwater, Aust. J. Soil Res., 2005, vol. 43, pp. 565–573.CrossRef Rose D.A., Konukcul, F., and Gowing, J.W., Effect of watertable depth on evaporation and salt accumulation from saline groundwater, Aust. J. Soil Res., 2005, vol. 43, pp. 565–573.CrossRef
7.
Zurück zum Zitat Il'ichev, A.T., Tsypkin, G.G., Pritchard, D.T., and Richardson, C.N., Instability of the salinity profile during the evaporation of saline groundwater, J. Fluid Mech., 2008, vol. 614, pp. 87–104.ADSMathSciNetCrossRef Il'ichev, A.T., Tsypkin, G.G., Pritchard, D.T., and Richardson, C.N., Instability of the salinity profile during the evaporation of saline groundwater, J. Fluid Mech., 2008, vol. 614, pp. 87–104.ADSMathSciNetCrossRef
8.
Zurück zum Zitat Tsypkin, G.G., Stability of the evaporation and condensation surfaces in a porous medium, Fluid Dynamics, 2017, vol. 52, no. 6, pp. 777–785.MathSciNetCrossRef Tsypkin, G.G., Stability of the evaporation and condensation surfaces in a porous medium, Fluid Dynamics, 2017, vol. 52, no. 6, pp. 777–785.MathSciNetCrossRef
9.
Zurück zum Zitat Saffman, P.G. and Taylor, G.I., The penetration of a fluid into a porous medium or Hele–Shaw cell containing a more viscous liquid, Proc. Roy. Soc. London, A, 1958, vol. 245, pp. 312–329.ADSMathSciNetCrossRef Saffman, P.G. and Taylor, G.I., The penetration of a fluid into a porous medium or Hele–Shaw cell containing a more viscous liquid, Proc. Roy. Soc. London, A, 1958, vol. 245, pp. 312–329.ADSMathSciNetCrossRef
10.
Zurück zum Zitat Schubert, G. and Straus, J.M., Gravitational stability of water over steam in vapourdominated geothermal system, J. Geoph. Res., 1980, vol. 85, pp. 6505–6512.ADSCrossRef Schubert, G. and Straus, J.M., Gravitational stability of water over steam in vapourdominated geothermal system, J. Geoph. Res., 1980, vol. 85, pp. 6505–6512.ADSCrossRef
11.
Zurück zum Zitat Il’ichev, A.T. and Tsypkin, G.G., Transition to instability of the interface in geothermal systems, European Journal of Mech. B: Fluids, 2005, vol. 24, no. 4, pp. 491–501.ADSMathSciNetCrossRef Il’ichev, A.T. and Tsypkin, G.G., Transition to instability of the interface in geothermal systems, European Journal of Mech. B: Fluids, 2005, vol. 24, no. 4, pp. 491–501.ADSMathSciNetCrossRef
12.
Zurück zum Zitat Il’ichev, A.T. and Tsypkin, G.G., Instabilities of uniform filtration flows with phase transition, J. Exp. Theor. Phys., 2008, vol. 107, no. 4, pp. 699–711.ADSCrossRef Il’ichev, A.T. and Tsypkin, G.G., Instabilities of uniform filtration flows with phase transition, J. Exp. Theor. Phys., 2008, vol. 107, no. 4, pp. 699–711.ADSCrossRef
13.
Zurück zum Zitat Shargatov, V.A., Instability of a liquid–vapor phase transition front in inhomogeneous wettable porous media, Fluid Dynamics, 2017, vol. 52, no. 1, pp. 146–157.MathSciNetCrossRef Shargatov, V.A., Instability of a liquid–vapor phase transition front in inhomogeneous wettable porous media, Fluid Dynamics, 2017, vol. 52, no. 1, pp. 146–157.MathSciNetCrossRef
14.
Zurück zum Zitat Shargatov, V.A., Il’ichev, A.T., and Tsypkin, G.G., Dynamics and stability of moving fronts of water evaporation in a porous medium, Int. J. Heat and Mass Transfer, 2015, vol. 83, pp. 552–561.CrossRef Shargatov, V.A., Il’ichev, A.T., and Tsypkin, G.G., Dynamics and stability of moving fronts of water evaporation in a porous medium, Int. J. Heat and Mass Transfer, 2015, vol. 83, pp. 552–561.CrossRef
15.
Zurück zum Zitat Lapuk, B.B., Teoreticheskie osnovy razrabotki mestorozhdenii prirodhykh gazov (Theoretical Fundamentals of Gas–Field Development), Moscow: Gostoptekhizdat, 1948. Lapuk, B.B., Teoreticheskie osnovy razrabotki mestorozhdenii prirodhykh gazov (Theoretical Fundamentals of Gas–Field Development), Moscow: Gostoptekhizdat, 1948.
16.
Zurück zum Zitat Tsypkin, G.G. and Shargatov, V.A., Influence of capillary pressure gradient on connectivity of flow through a porous medium, Int. J. Heat and Mass Transfer, 2018, vol. 127, pp. 1053–1063.CrossRef Tsypkin, G.G. and Shargatov, V.A., Influence of capillary pressure gradient on connectivity of flow through a porous medium, Int. J. Heat and Mass Transfer, 2018, vol. 127, pp. 1053–1063.CrossRef
17.
Zurück zum Zitat Polubarinova-Kochina, P.Ya., Teoriya dvizheniya gruntovykh vod (Theory of Ground–Water Movement), Moscow: Nauka, 1977. Polubarinova-Kochina, P.Ya., Teoriya dvizheniya gruntovykh vod (Theory of Ground–Water Movement), Moscow: Nauka, 1977.
Metadaten
Titel
Instability of a Light Fluid over a Heavy One under the Motion of Their Interface in a Porous Medium
verfasst von
G. G. Tsypkin
Publikationsdatum
01.03.2020
Verlag
Pleiades Publishing
Erschienen in
Fluid Dynamics / Ausgabe 2/2020
Print ISSN: 0015-4628
Elektronische ISSN: 1573-8507
DOI
https://doi.org/10.1134/S0015462820020135

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