Formation of bubbly horizon in liquid-saturated porous medium by surface temperature oscillation
- 30 December 2015
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review E
- Vol. 92 (6), 063032
- https://doi.org/10.1103/physreve.92.063032
Abstract
We study nonisothermal diffusion transport of a weakly soluble substance in a liquid-saturated porous medium in contact with a reservoir of this substance. The surface temperature of the porous medium half-space oscillates in time, which results in a decaying solubility wave propagating deep into the porous medium. In this system, zones of saturated solution and nondissolved phase coexist with ones of undersaturated solution. The effect is first considered for the case of annual oscillation of the surface temperature of water-saturated ground in contact with the atmosphere. We reveal the phenomenon of formation of a near-surface bubbly horizon due to temperature oscillation. An analytical theory of the phenomenon is developed. Further, the treatment is extended to the case of higher frequency oscillations and the case of weakly soluble solids and liquids.Keywords
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Funding Information
- Russian Foundation for Basic Research (14-01-31380_mol_a)
This publication has 20 references indexed in Scilit:
- Effect of temperature wave on diffusive transport of weakly soluble substances in liquid-saturated porous mediaThe European Physical Journal Plus, 2014
- Non-Fickian diffusion and the accumulation of methane bubbles in deep-water sedimentsThe European Physical Journal E, 2014
- Non-Fickian diffusion affects the relation between the salinity and hydrate capacity profiles in marine sedimentsComptes Rendus Mecanique, 2013
- Diffusive counter dispersion of mass in bubbly mediaPhysical Review E, 2011
- Controls on the formation and stability of gas hydrate‐related bottom‐simulating reflectors (BSRs): A case study from the west Svalbard continental slopeJournal of Geophysical Research, 2008
- Eight glacial cycles from an Antarctic ice coreNature, 2004
- A numerical model for the formation of gas hydrate below the seafloorJournal of Geophysical Research, 2001
- Climate and atmospheric history of the past 420,000 years from the Vostok ice core, AntarcticaNature, 1999
- Dissolved Gas Transport in the Presence of a Trapped Gas Phase: Experimental Evaluation of a Two-Dimensional Kinetic ModelGroundwater, 1998
- Development and Testing of a Kinetic Model for Oxygen Transport in Porous Media in the Presence of Trapped GasGroundwater, 1997