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Title: Effect of Dispersion on Solutal Convection in Porous Media

Abstract

Solutal convection in porous media is thought to be controlled by the molecular Rayleigh number, Ra m, the ratio of the buoyant driving force over diffusive dissipation. The mass flux should increase linearly with Ra m and the finger spacing should decrease as Ra$$-\atop{m}$$ 1/2. Instead, our experiments find that flux levels off at large Ram and finger spacing increases with Ra m. Here we show that the convective pattern is controlled by a dispersive Rayleigh number, Ra d, balancing buoyancy and dispersion. Increasing the bead size of the porous medium increases Ra m but decreases Ra d and hence coarsens the pattern. While the flux is predominantly controlled by Ra m, the anisotropy of mechanical dispersion leads to an asymmetry in the pattern that limits the flux at large bead sizes.

Authors:
 [1]; ORCiD logo [1]; ORCiD logo [1]; ORCiD logo [1]
  1. Univ. of Texas, Austin, TX (United States)
Publication Date:
Research Org.:
Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES); Univ. of Texas, Austin, TX (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1539751
Alternate Identifier(s):
OSTI ID: 1479150
Grant/Contract Number:  
SC0001114
Resource Type:
Accepted Manuscript
Journal Name:
Geophysical Research Letters
Additional Journal Information:
Journal Volume: 45; Journal Issue: 18; Journal ID: ISSN 0094-8276
Publisher:
American Geophysical Union
Country of Publication:
United States
Language:
English
Subject:
58 GEOSCIENCES; Geology

Citation Formats

Liang, Yu, Wen, Baole, Hesse, Marc A., and DiCarlo, David. Effect of Dispersion on Solutal Convection in Porous Media. United States: N. p., 2018. Web. doi:10.1029/2018gl079849.
Liang, Yu, Wen, Baole, Hesse, Marc A., & DiCarlo, David. Effect of Dispersion on Solutal Convection in Porous Media. United States. doi:10.1029/2018gl079849.
Liang, Yu, Wen, Baole, Hesse, Marc A., and DiCarlo, David. Fri . "Effect of Dispersion on Solutal Convection in Porous Media". United States. doi:10.1029/2018gl079849. https://www.osti.gov/servlets/purl/1539751.
@article{osti_1539751,
title = {Effect of Dispersion on Solutal Convection in Porous Media},
author = {Liang, Yu and Wen, Baole and Hesse, Marc A. and DiCarlo, David},
abstractNote = {Solutal convection in porous media is thought to be controlled by the molecular Rayleigh number, Ram, the ratio of the buoyant driving force over diffusive dissipation. The mass flux should increase linearly with Ram and the finger spacing should decrease as Ra$-\atop{m}$1/2. Instead, our experiments find that flux levels off at large Ram and finger spacing increases with Ram. Here we show that the convective pattern is controlled by a dispersive Rayleigh number, Rad, balancing buoyancy and dispersion. Increasing the bead size of the porous medium increases Ram but decreases Rad and hence coarsens the pattern. While the flux is predominantly controlled by Ram, the anisotropy of mechanical dispersion leads to an asymmetry in the pattern that limits the flux at large bead sizes.},
doi = {10.1029/2018gl079849},
journal = {Geophysical Research Letters},
number = 18,
volume = 45,
place = {United States},
year = {2018},
month = {9}
}

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