Rayleigh-Darcy convection with hydrodynamic dispersion

Wen, Baole; Chang, Kyung Won; Hesse, Marc A.

doi:10.1103/physrevfluids.3.123801

Title: Rayleigh-Darcy convection with hydrodynamic dispersion

Journal Article · Fri Dec 07 00:00:00 UTC 2018 · Physical Review Fluids

DOI: https://doi.org/10.1103/physrevfluids.3.123801 · OSTI ID:1566692

Wen, Baole ^[1]; Chang, Kyung Won ^[2]; Hesse, Marc A. ^[1]

Univ. of Texas, Austin, TX (United States). Inst. of Computational Engineering and Sciences, Dept. of Geological Sciences, and Jackson School of Geosciences
Univ. of Texas, Austin, TX (United States).Dept. of Geological Sciences, and Jackson School of Geosciences

We investigate the effect of hydrodynamic dispersion on convection in porous media by performing direct numerical simulations (DNS) in a two-dimensional Rayleigh-Darcy domain. Scaling analysis of the governing equations shows that the dynamics of this system are not only controlled by the classical Rayleigh-Darcy number based on molecular diffusion, Ra_m, and the domain aspect ratio, but also controlled by two other dimensionless parameters: the dispersive Rayleigh number Ra_d=H/α_t and the dispersivity ratio r=α_l/α_t, where H is the domain height and αt and αl are the transverse and longitudinal dispersivities, respectively. For Δ=Ra_d/Ra_m>O(1), the influence from the mechanical dispersion is minor; for Δ≲0.02, however, the flow pattern is determined by Rad while the convective flux is F~c(Ra_d)Ra_m for large Ram. Our DNS results also show that the increase of mechanical dispersion, i.e., decreasing Rad, will coarsen the convective pattern by increasing the plume spacing. Moreover, the inherent anisotropy of mechanical dispersion breaks the columnar structure of the megaplumes at large Ra_m, if Ra_d<5000. This results in a fan-flow geometry that reduces the convective flux.

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Research Organization:: Univ. of Texas, Austin, TX (United States); Energy Frontier Research Centers (EFRC) (United States). Center for Frontiers of Subsurface Energy Security (CFSES)

Sponsoring Organization:: USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)

Grant/Contract Number:: SC0001114

OSTI ID:: 1566692

Journal Information:: Physical Review Fluids, Journal Name: Physical Review Fluids Journal Issue: 12 Vol. 3; ISSN 2469-990X

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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