Fingering patterns in hierarchical porous media
نویسندگان
چکیده
منابع مشابه
Modeling of Radial Source Flow in Porous Media: Miscible Viscous Fingering Patterns
Introduction: Viscous fingering, a hydrodynamic instability characterized by complex patterns, is observed when a less viscous fluid displaces a more viscous one in porous medium [1]. The displacement is either rectilinear or radial; both having equal importance in many real life applications. The fingering patterns in radial Hele-Shaw flows have been studied both experimentally [2], and numeri...
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We study flow problems in unsaturated porous media. Our main interest is the gravity driven penetration of a dry material, a situation in which fingering effects can be observed experimentally and numerically. The flow is described by either a Richards or a two-phase model. The important modelling aspect regards the capillary pressure relation which can include static hysteresis and dynamic cor...
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Microfluidics device are used to study the drainage of a wetting fluid by a non-wetting one in porous media. Both the geometry and the wetting properties are accurately controlled and allow to obtain quantitative measurements of the features of the capillary fingering occuring during the invasion as a function of the imposed flow rate. In partial wetting systems, a quantitative agreement is fou...
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Fluid mixing plays a fundamental role in many natural and engineered processes, including groundwater flows in porous media, enhanced oil recovery, and microfluidic lab-on-a-chip systems. Recent developments have explored the effect of viscosity contrast on mixing, suggesting that the unstable displacement of fluids with different viscosities, or viscous fingering, provides a powerful mechanism...
متن کاملNonmodal linear stability analysis of miscible viscous fingering in porous media.
The nonmodal linear stability of miscible viscous fingering in a two-dimensional homogeneous porous medium has been investigated. The linearized perturbed equations for Darcy's law coupled with a convection-diffusion equation is discretized using a finite difference method. The resultant initial value problem is solved by a fourth-order Runge-Kutta method, followed by a singular value decomposi...
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ژورنال
عنوان ژورنال: Physical Review Fluids
سال: 2020
ISSN: 2469-990X
DOI: 10.1103/physrevfluids.5.034301