Bulletin of the American Physical Society
72nd Annual Meeting of the APS Division of Fluid Dynamics
Volume 64, Number 13
Saturday–Tuesday, November 23–26, 2019; Seattle, Washington
Session P38: Porous Media Flow Imbibition and Injection |
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Chair: Boris Stoeber, University of British Columbia Room: 620 |
Monday, November 25, 2019 5:16PM - 5:29PM |
P38.00001: Long cross-over dynamics in capillary imbibition Rodrigo Ledesma-Aguilar, Elfego Ruiz-Gutierrez, Steven Armstrong, Gary G Wells, Simon Leveque, Celestin Michel, Ignacio Pagonabarraga, Aurora Hernandez-Machado We present new experimental and theoretical results of the spontaneous capillary invasion of dry capillary tubes by viscous liquids. We show how deviations from Washburn’s law, which predicts a diffusive-like growth of the advancing meniscus, persist for much of the invasion process–if not all. We identify two sources of hydro- dynamic resistance that account for this effect: the difference in velocity between the fluid reservoir and the fluid within the capillary, and the motion of the meniscus itself. Both contributions give rise to power-law terms in the force balance, which introduce a long cross-over from the initial acceleration of the liquid to the asymptotic limit of Washburn’s law. Such long cross-over dynamics, which we call slowly-slowing-down dynamics, is likely to govern other systems in spontaneous capillary flow where a persistent resistance to growth is present. [Preview Abstract] |
Monday, November 25, 2019 5:29PM - 5:42PM |
P38.00002: Imbibition-Induced Deformation Dynamics in Nanoporous Media Juan Sanchez, Zhuoquing Li, Michael Froeba, Patrick Huber We present time-dependent macroscopic dilatometry experiments on the deformation of nanoporous monoliths (carbon and silica) upon spontaneous, capillarity-driven invasion of water. We find two distinct dynamical regimes. One of them can be quantitatively traced to deformations originating in changes in the surfaces stress at the inner pore walls (dynamic Bangham's regime) upon water invasion, whereas the second one results from Laplace pressure effects [1][2][3]. Our study demonstrates that it is possible to dynamically monitor imbibition dynamics by simple dilatometry measurements.\newline \textbf{[1]}\textbf{\textit{Elastic response of mesoporous silicon to capillary pressures in the pores.}} Gennady Gor, Luca Bertinetti, Noam Bernstein, Peter Fratzl and Patrick Huber. \textit{Applied Physics Letters} (2015).\newline \textbf{[2]}\textbf{\textit{Adsorption-induced deformation of nanoporous materials - A review.}} Gennady Gor, Patrick Huber and Noam Bernstein. \textit{Applied Physics Reviews} (2017).\newline \textbf{[3]}\textbf{\textit{Elastocapillarity in nanopores: Sorption strain from the actions of surface tension and surface stress.}} Gennady Y. Gor, Patrick Huber and J\"{o}rg Wei\ss m\"{u}ller. \textit{Physical Review Materials} (2018).\newline [Preview Abstract] |
Monday, November 25, 2019 5:42PM - 5:55PM |
P38.00003: Partial saturation in capillary rise into deformable porous material Javed Siddique, Daniel Anderson We investigate the partial saturation dynamics of capillary rise into a deformable porous material. Experiments show a deviation from the classical Washburn model dynamics after early times and our aim in this work is to investigate this deviation. We consider a three-phase mixture theory model with solid, liquid, and gas phases. We compare the results of our model to experimental data. [Preview Abstract] |
Monday, November 25, 2019 5:55PM - 6:08PM |
P38.00004: Imbibition with solidification in alumina feeding Attila Kovacs, James Oliver, Chris Breward, Andreas Muench Liquid aluminium is produced from alumina by electrolysis in a Hall-H\'{e}roult cell. The process by which the alumina is fed into the cell influences the overall behaviour and efficiency of the cell. We develop a one-dimensional Stefan-type model for the imbibition of molten cryolite into a cold porous lump of alumina. In the small overheat limit, we analyse the small-time behaviour using the method of matched asymptotic expansions and find there to be locally self-similar solutions that describe analytically the competition between imbibition and freezing. Depending on the balance between these effects, the problem may exhibit two self-similar solutions (one being stable and the other unstable) or such a solution may cease to exist (so that imbibition is not possible without the molten cryolite freezing first on the exterior of the porous lump). Our asymptotic predictions are validated by direct numerical simulations that are also used to investigate the late time behaviour. In particular we predict the depth of imbibition before the cryolite freezes. [Preview Abstract] |
Monday, November 25, 2019 6:08PM - 6:21PM |
P38.00005: ABSTRACT WITHDRAWN |
Monday, November 25, 2019 6:21PM - 6:34PM |
P38.00006: Extracting permeability model parameters for skin tissue from injection experiments Pranav Shrestha, Boris Stoeber Hollow microneedles are medical devices used to inject fluid, such as vaccines, into the skin. As the fluid flows into the skin, a soft porous medium, it deforms the porous matrix. The fluid flow and solid deformation are coupled -- the flow-induced deformation changes the porosity and permeability of the tissue, which in turn affects fluid flow. In our experiments, we injected water into excised porcine skin, while recording fluid flow-rate and visualizing the tissue cross-section in real time using optical coherence tomography (OCT). We performed digital image correlation on the OCT images to generate strain maps for quantifying tissue deformation. We used a spherical model of tissue expansion and a two-parameter exponential relationship between permeability and volumetric strain in tissue. Applying Darcy's law to the measured fluid flow-rate and the strain maps over time yields the two parameters through an optimization algorithm. The fluid flow estimated from the optimized permeability model matched closely with the recorded flow-rate. The permeability-strain relationship can help improve the efficiency of fluid injections into the skin. [Preview Abstract] |
Monday, November 25, 2019 6:34PM - 6:47PM |
P38.00007: Fluid-structure interactions in a soft-walled Hele-Shaw cell Satyajit Pramanik, Jian Hui Guan, Christopher W. MacMinn The interaction of viscous and interfacial flows with soft materials has recently attracted substantial interest from a variety of different perspectives. Here, we study these interactions in the context of a model problem: Flow in a deformable Hele-Shaw cell, where one wall is rigid and the other is soft. Combining experiments with mathematical modelling, we consider the coupling of flow and deformation during (a) the initial injection of viscous fluid into the empty cell (the filling problem), (b) the subsequent steady state during continued injection of the same fluid (the steady state), and (c) the relaxation of the cell after injection is stopped (the relaxation problem). We then discuss the implications of these results for hydrodynamic instabilities such as viscous fingering. [Preview Abstract] |
Monday, November 25, 2019 6:47PM - 7:00PM |
P38.00008: Modification of water injection monitoring for evaluation of hydraulic fracturing efficiency Tien N. Phan, Morteza Dejam, Mohammadreza Kamyab Measuring hydraulic fracturing efficiency is not a trivial task in the absence of production data. The traditional diagnostic plots for Hall Integral (HI) and derivative Hall Integral (dHI) against cumulative water injection allow for interpretation of plugging and fracturing behavior in injection wells. In this study, we adapt this method by including instantaneous shut-in pressure and cumulative slurry volume to understand fracturing efficiency. Increasing fracturing efficiency occurs when dHI is decreasing relative to cumulative slurry volume. We compute the change of dHI for all stages of data. Features extracted from our diagnostic plots like intercept, slope, and integral of dHI are correlated with computed fracture volume and half-length from microseismic data obtained in one hydraulically fractured well in Midland basin. The interpretation from correlation matrix allows us to identify which features can be used as qualitative predictors of fracturing efficiency. Using full stages of data, our derived parameters provide the implication on which stages should generate greater fracture volumes along the lateral of one single horizontal well. This study can improve the decision-making process for on-site evaluation of stage design. [Preview Abstract] |
Monday, November 25, 2019 7:00PM - 7:13PM |
P38.00009: Pore-Scale Modeling of Clogging and Erosion in Porous Media Emily De Jong, Navid Bizmark, Sujit Datta The transport of colloidal particles in porous media plays a key role in applications ranging from groundwater remediation, water filtration, and enhanced oil recovery. However, this process is difficult to model due to diverse processes that may arise, including particle advection through the pore space by fluid flow, adsorption and deposition onto the solid matrix, and erosion or resuspension. Here, we analyze a continuum model to describe these physics for a single straight pore in a computationally-efficient simulation. The model accounts for geometry changes as a result of particle deposition and erosion at the pore walls. We identify the dimensionless hydrodynamic and geometric parameters that govern particle transport, and show how these give rise to two regimes: a deposition-dominated regime in which pores completely close, and a dynamic erosion-deposition regime in which the pore radius decreases and ultimately reaches an equilibrium profile. Our work thus provides a tractable description of the pore-scale physics of colloidal particle transport that can be generalized to more complex porous medium geometries. [Preview Abstract] |
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