72 research outputs found
Wettability Stabilizes Fluid Invasion into Porous Media via Nonlocal, Cooperative Pore Filling
We study the impact of the wetting properties on the immiscible displacement
of a viscous fluid in disordered porous media. We present a novel pore-scale
model that captures wettability and dynamic effects, including the
spatiotemporal nonlocality associated with interface readjustments. Our
simulations show that increasing the wettability of the invading fluid (the
contact angle) promotes cooperative pore filling that stabilizes the invasion,
and that this effect is suppressed as the flow rate increases, due to viscous
instabilities. We use scaling analysis to derive two dimensionless numbers that
predict the mode of displacement. By elucidating the underlying mechanisms, we
explain classical yet intriguing experimental observations. These insights
could be used to improve technologies such as hydraulic fracturing, CO
geo-sequestration, and microfluidics.Comment: In review, Physics Review Letter
The origin of hysteresis and memory of two-phase flow in disordered media
Cyclic fluid-fluid displacements in disordered media feature hysteresis, multivaluedness, and memory properties in the pressure-saturation relationship. Quantitative understanding of the underlying pore-scale mechanisms and their extrapolation across scales constitutes a major challenge. Here we find that the capillary action of a single constriction in the fluid passage contains the key features of hysteresis. This insight forms the building block for an ab initio model that provides the quantitative link between the microscopic capillary physics, spatially-extended collective events (Haines jumps) and large-scale hysteresis. The mechanisms identified here apply to a broad range of problems in hydrology, geophysics and engineering
Onset of convective instability in an inclined porous medium
The diffusion of a solute from a concentrated source into a horizontal,
stationary, fluid-saturated porous medium can lead to a convective motion when
a gravitationally unstable density stratification evolves. In an inclined
porous medium, the convective flow becomes intricate as it originates from a
combination of diffusion and lateral flow, which is dominant near the source of
the solute. Here, we investigate the role of inclination on the onset of
convective instability by linear stability analyses of Darcy's law and mass
conservation for the flow and the concentration field. We find that the onset
time increases with the angle of inclination () until it reaches a
cut-off angle beyond which the system remains stable. The cut-off angle
increases with the Rayleigh number, . The evolving wavenumber at the onset
exhibits a lateral velocity that depends non-monotonically on and
linearly on . Instabilities are observed in gravitationally stable
configurations () solely due to the non-uniform base
flow generating a velocity shear commonly associated with Kelvin-Helmholtz
instability. These results quantify the role of medium tilt on convective
instabilities, which is of great importance to geological CO sequestration.Comment: 18 pages, 7 figure
Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units:The case of fluid-fluid interfaces
We examine the nonequilibrium nature of two-phase fluid displacements in a quasi-two-dimensional medium (a model open fracture), in the presence of localized constrictions ("defects"), from a theoretical and numerical standpoint. Our analysis predicts the capillary energy dissipated in abrupt interfacial displacements (jumps) across defects, and relates it to the corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish between "weak" (reversible interface displacement, exhibiting no hysteresis and dissipation) and "strong" (irreversible) defects. We expose the emergence of dissipation and irreversibility caused by spatial interactions, mediated by interfacial tension, among otherwise weak defects. We exemplify this cooperative behavior for a pair of weak defects and establish a critical separation distance, analytically and numerically, verified by a proof-of-concept experiment
The Interplay Between Pore‐Scale Heterogeneity, Surface Roughness, and Wettability Controls Trapping in Two‐Phase Fluid Displacement in Porous Media
Predicting the compactness of the invasion front and the amount of trapped fluid left behind is of crucial importance to applications ranging from microfluidics and fuel cells to subsurface storage of carbon and hydrogen. We examine the interplay of wettability, macro‐ and pore scale heterogeneity (pore angularity and pore wall roughness), and its influence on flow patterns formation and trapping efficiency in porous media by a combination of 3D micro‐CT imaging with 2D direct visualization of micromodels. We observe various phase transitions between the following capillary flow regimes (phases): (a) compact advance, (b) wetting and drainage Invasion percolation, (c) Ordinary percolation
Emergence of dissipation and hysteresis from interactions among reversible, non-dissipative units: The case of fluid-fluid interfaces
We examine the nonequilibrium nature of two-phase fluid displacements in a
quasi-two-dimensional medium (a model open fracture), in the presence of
localized constrictions ("defects"), from a theoretical and numerical
standpoint. Our analysis predicts the capillary energy dissipated in abrupt
interfacial displacements (jumps) across defects, and relates it to the
corresponding hysteresis cycle, e.g. in pressure-saturation. We distinguish
between "weak" (reversible interface displacement, exhibiting no hysteresis and
dissipation) and "strong" (irreversible) defects. We expose the emergence of
dissipation and irreversibility caused by spatial interactions, mediated by
interfacial tension, among otherwise weak defects. We exemplify this
cooperative behavior for a pair of weak defects and establish a critical
separation distance, analytically and numerically, verified by a
proof-of-concept experiment
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