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Mitigation of Rayleigh–Taylor Convection in a Porous Medium by Initial Periodic Fluctuations

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Advanced Hydrodynamics Problems in Earth Sciences

Part of the book series: Earth and Environmental Sciences Library ((EESL))

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Abstract

Numerical simulation of gravity-driven convection in a porous medium in application to geological problems is conducted. A stability of two-layered fluid system with the lower layer being a pure fluid and the upper layer being the fluid with dissolved admixture is analyzed. A growth of instability is triggered by initial periodic density fluctuations at the interface. Peculiarities of convective flows and mass transfer depending on the wave length of disturbances are investigated. As obtained, if the wave length of disturbances is of the order of average double width of convective fingers originated under random fluctuations, those disturbances can lead to mitigating of convection. In this case, the prescribed motion cannot develop freely and transit to stochastic mode, that leads to its deceleration and a decrease in convective mixing.

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Acknowledgements

This work has been supported by the Russian Science Foundation (Grant No. 21-11-00126).

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Authors and Affiliations

  1. Ishlinsky Institute for Problems in Mechanics RAS, Moscow, Russia

    E. B. Soboleva

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  1. E. B. Soboleva
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Correspondence to E. B. Soboleva .

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  1. Alicante, Spain

    Tatiana Chaplina

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Soboleva, E.B. (2023). Mitigation of Rayleigh–Taylor Convection in a Porous Medium by Initial Periodic Fluctuations. In: Chaplina, T. (eds) Advanced Hydrodynamics Problems in Earth Sciences. Earth and Environmental Sciences Library. Springer, Cham. https://doi.org/10.1007/978-3-031-23050-9_1

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