Emergence of unstable focused flow induced by variable-density flows in
vertical fractures
Abstract
Fluids with different densities often coexist in subsurface fractures
and lead to variable-density flows that control subsurface processes
such as seawater intrusion, contaminant transport, and geologic carbon
sequestration. In nature, fractures have dip angles relative to gravity,
and density effects are maximized in vertical fractures. However, most
studies on flow and transport through fractures are often limited to
horizontal fractures. Here, we study the mixing and transport of
variable density fluids in vertical fractures by combining
three-dimensional (3D) pore-scale numerical simulations and visual
laboratory experiments. Two miscible fluids with different densities are
injected through two inlets at the bottom of a fracture and exit from an
outlet at the top of the fracture. Laboratory experiments show the
emergence of an unstable focused flow path, which we term a “runlet.”
We successfully reproduce an unstable runlet using 3D numerical
simulations, and elucidate the underlying mechanisms triggering the
runlet. Dimensionless number analysis shows that the runlet instability
arises due to the Rayleigh-Taylor instability, and flow topology
analysis is applied to identify 3D vortices that are caused by the
Rayleigh-Taylor instability. Even under laminar flow regimes, fluid
inertia is shown to control the runlet instability by affecting the size
and movement of vortices. Finally, we confirm the emergence of a runlet
in rough-walled fractures. Since a runlet dramatically affects fluid
distribution, residence time, and mixing, the findings in this study
have direct implications for the management of groundwater resources and
subsurface applications.