Bulletin of the American Physical Society
70th Annual Meeting of the APS Division of Fluid Dynamics
Volume 62, Number 14
Sunday–Tuesday, November 19–21, 2017; Denver, Colorado
Session M35: Porous Media Flows: Imbibition & InjectionPorous
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Chair: Yaniv Edery, Harvard University Room: 301 |
Tuesday, November 21, 2017 8:00AM - 8:13AM |
M35.00001: Tunable imbibition dynamics in multiscale porous media Olivier Vincent, Theo Tassin, Abraham Stroock We studied experimentally spontaneous water imbibition in multiscale structures coupling a nanoporous layer to arrays of microcavities of varying aspect ratio. We show that the presence of the microcavities can dramatically affect the dynamics of imbibition, resulting in faster dynamics globally, and in intermittent dynamics locally. We further show that these effects can be tuned not only by the choice of the geometry of the microstructure, but also by changing the filling state of the cavities (air vs. vacuum), which suggests strategies for dynamic control of transport properties. [Preview Abstract] |
Tuesday, November 21, 2017 8:13AM - 8:26AM |
M35.00002: Prediction of gravity-driven fingering in porous media Abdelaziz Beljadid, Luis Cueto-Felgueroso, Ruben Juanes Gravity-driven displacement of one fluid by another in porous media is often subject to a hydrodynamic instability, whereby fluid invasion takes the form of preferential flow paths---examples include secondary oil migration in reservoir rocks, and infiltration of rainfall water in dry soil. Here, we develop a continuum model of gravity-driven two-phase flow in porous media within the phase-field framework (Cueto-Felgueroso and Juanes, 2008). We employ pore-scale physics arguments to design the free energy of the system, which notably includes a nonlinear formulation of the high-order (square-gradient) term based on equilibrium considerations in the direction orthogonal to gravity. This nonlocal term plays the role of a macroscopic surface tension, which exhibits a strong link with capillary pressure. Our theoretical analysis shows that the proposed model enforces that fluid saturations are bounded between 0 and 1 by construction, therefore overcoming a serious limitation of previous models. Our numerical simulations show that the proposed model also resolves the pinning behavior at the base of the infiltration front, and the asymmetric behavior of the fingers at material interfaces observed experimentally. [Preview Abstract] |
Tuesday, November 21, 2017 8:26AM - 8:39AM |
M35.00003: Experimental viscous fingering in a tapered radial Hele-Shaw cell Gregoire Bongrand, Peichun Amy Tsai The fluid-fluid displacement in porous media is a common process that finds direct applications in various fields, such as enhanced oil recovery and geological CO2 sequestration. In this work, we experimentally investigate the influence of converging cells on viscous fingering instabilities using a radially-tapered cell. For air displacing oil, in contrast to the classical Saffman-Taylor fingering, our results show that a converging gradient in a radial propagation can provide a stabilizing effect and hinder fingering. For a fixed gap gradient and thickness, with increasing injection rates we find a stable displacement under small flow rates, whereas unstable fingering occurs above a certain threshold. We further investigate this critical flow rate delineating the stable and unstable regimes for different gap gradients. These results reveal that the displacement efficiency not only depends on the fluid properties but also on the interfacial velocity and channel structure. The latter factors provide a useful and convenient control to either trigger or inhibit fingering instability. [Preview Abstract] |
Tuesday, November 21, 2017 8:39AM - 8:52AM |
M35.00004: Lifecycle of miscible viscous fingering: onset to shutdown Japinder S. Nijjer, Duncan R. Hewitt, Jerome A. Neufeld When a viscous fluid is injected into a porous medium or Hele-Shaw cell that is initially saturated with a more viscous fluid, the flow can be unstable to viscous fingering. We investigate the long-time dynamics of miscible viscous fingering in a homogeneous, planar, two-dimensional porous medium using high-resolution numerical simulations. At late times, we identify a new flow regime which consists of a pair of counter-propagating fingers that diffuse and slow, leaving a linearly well-mixed interior. We derive an analytic solution for this regime, and show that, in contrast to previous suggestions, the flow always evolves to this regime irrespective of the viscosity ratio and Peclet number. As a consequence, we find the instability can only ever generate a finite amount of advective mixing. We also describe the full life-cycle of miscible viscous fingering, which can be partitioned into three regimes: an early-time linearly unstable regime, an intermediate-time non-linear regime, and a late-time exchange-flow regime. We identify, using linear stability theory, a critical Peclet number below which the flow is always stable, and derive a model for the evolution of the transversely averaged concentration in the intermediate-time regime, which extends previous empirical models. [Preview Abstract] |
Tuesday, November 21, 2017 8:52AM - 9:05AM |
M35.00005: Viscous fingering and channeling in chemical enhanced oil recovery Prabir Daripa, Sourav Dutta We have developed a hybrid numerical method based on discontinuous finite element method and modified method of characteristics to compute the multiphase multicomponent fluid flow in porous media in the context of chemical enhanced oil recovery. We use this method to study the effect of various chemical components on the viscous fingering and channeling in rectilinear and radial flow configurations. We will also discuss about the efficiency of various flooding schemes based on these understandings. Time permitting, we will discuss about the effect of variable injection rates in these practical setting. [Preview Abstract] |
Tuesday, November 21, 2017 9:05AM - 9:18AM |
M35.00006: Miscible displacement of a non-Newtonian fluid in a capillary tube Tejaswi Soori, Thomas Ward This talk focuses on experiments conducted to further our understanding of how to displace an aqueous polymer within a capillary tube (diameter $<$ 1 mm) using a Newtonian fluid. Estimates of the residual film were measured as a function of Reynolds (Re), viscous Atwood (At) and P{\'e}clet (P{\'e}) numbers. Aqueous polymers were prepared by mixing $\phi$ = 0.01--0.1\% (wt/wt) Carboxymethyl Cellulose (CMC) in water. We measure the shear viscosity of the aqueous polymer over a broad range of shear rates and fit the data obtained to the Carreau fluid parameters. Separately we measure the average bulk diffusion coefficient of the aqueous polymer and water in water and aqueous polymer phases respectively. Previous studies on the immiscible displacement of polymers have shown residual film thickness to be dependent on the tube diameter. We will investigate if this is true when the two fluids are miscible in nature. [Preview Abstract] |
Tuesday, November 21, 2017 9:18AM - 9:31AM |
M35.00007: Measure Advancing, Receding and Dynamic Contact Angles of granular materials in a close column gerardo callegari, Minglu Li, Sara Moghtadernejad, German Drazer Wetting properties of granular materials are usually obtained by the Washburn column technique. One problem is that the effective contact angle measured is dynamic and variable. The open column technique also allows to measure static advancing contact angle when the interface stops because the driving capillary pressure is balanced by the hydrostatic pressure. However, when particle diameters are in the range of tens of microns the static condition cannot be achieved at practical heights. Also, the open column device cannot be used to measure receding contact angles or contact angles of non-wetting liquids. Dynamics of a close column filled with granular material of different particle sizes where the liquid mass, the enclosed air pressure and the front position are monitored as a function of time is studied. Contact angle is calculated in dynamic and advancing static conditions. Then, a Syringe pump is used to increase the pressure inside the column so that the receding contact angle can also be studied. Supplementary experiments with a reference liquid that completely wets the powder are performed. Using a second liquid decouples the properties of the bed from the result and allows to measure the contact angles without making assumptions on the pore size or geometry. [Preview Abstract] |
Tuesday, November 21, 2017 9:31AM - 9:44AM |
M35.00008: Control of immiscible displacement in fractures by aperture variability and wettability Zhibing Yang, Yves Meheust, Insa Neuweiler Fractures are ubiquitous in nature, in particular in the subsurface. Understanding and controlling fluid-fluid displacement in fractures is key to many applications. Under a lubrication approximation they can be considered a particular type of 2D porous media. We study primary drainage in rough-walled fractures in this framework. We focus on the combined effect of wettability and fracture surface topography on displacement patterns and interface growth. A minimal computational model has been developed to simulate dynamic fluid invasion under the combined influence of viscous and capillary forces. Viscous pressure drops are obtained by solving the fluid pressure field in both fluids. The aperture field of a fracture is modeled by a spatially correlated random field, self-affine up to a given cutoff length. The model reproduces displacement patterns of stable displacement, capillary fingering and viscous fingering, as well as the transitions between them. Results show that the displacement outside of the viscous fingering regime can be stabilized by reducing the aperture variability and/or increasing the contact angle (from drainage to weak imbibition). This stabilization can be attributed to the influence of in-plane curvature, an effect analogous to that of the cooperative pore filling in porous media. [Preview Abstract] |
Tuesday, November 21, 2017 9:44AM - 9:57AM |
M35.00009: Dispersive effects on multicomponent transport through porous media Sourav Dutta, Prabir Daripa We use a hybrid numerical method to solve a global pressure based porous media flow model of chemical enhanced oil recovery. This is an extension of our recent work [1,2]. The numerical method is based on the use of a discontinuous finite element method and the modified method of characteristics. The impact of molecular diffusion and mechanical dispersion on the evolution of scalar concentration distributions are studied through numerical simulations of various flooding schemes. The relative importance of the advective, capillary diffusive and dispersive fluxes are compared over different flow regimes defined in the parameter space of Capillary number, Peclet number, longitudinal and transverse dispersion coefficients. Such studies are relevant for the design of effective injection policies and determining optimal combinations of chemical components for improving recovery. \vskip .1in \noindent[1] P. Daripa, S. Dutta, Modeling and simulation of surfactant-polymer flooding using a new hybrid method, J. Comput. Phys., 335, 249-282 (2017). \vskip .1in \noindent[2] P. Daripa, S. Dutta, Convergence analysis of a characteristics-based hybrid method for multicomponent transport in porous media, arXiv:1707.00035 [math.NA] (2017). [Preview Abstract] |
Tuesday, November 21, 2017 9:57AM - 10:10AM |
M35.00010: Computational investigation of effective interfacial dynamics in porous media Antonios Ververis, Markus Schmuck We consider the flow of immiscible fluids in strongly heterogeneous domains. To this end, we use a Cahn-Hilliard/Ginzburg-Landau phase field formulation which allows to account for the fluids' specific free energies and which has recently been rigorously upscaled towards the so-called porous media phase-field equation in [1,2]. The upscaled equation [1,2] is validated by comparing the numerical solution of the microscopic formulation fully resolving the pore space with the solution of the upscaled equation. As a result, we computationally observe the rigorously derived convergence rate ${\cal O}(\epsilon^{\frac{1}{4}})$. Additionally, we recover the experimentally validated and rigorously derived coarsening rate ${\cal O}(t^{\frac{1}{3}})$ for homogeneous media in the periodic porous media setting [3]. Finally, for critical quenches and under thermal noise, the coarsening rate shows after a short, expected phase of universal coarsening, a sharp transition towards a different regime [3]. [1] M. Schmuck $\&$ S. Kalliadasis, SIAM J. Appl. Math., accepted (2017). [2] M. Schmuck et al., Nonlinearity, 26(12):3259-3277 (2013). [3] A. Ververis $\&$ M. Schmuck, J. Comp. Phys., 344:485-498 (2017). [Preview Abstract] |
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