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We investigate one-phase flow in porous medium corresponding to a miscible displacement process in which the viscosity of the injected fluid is smaller than the viscosity in the reservoir fluid, which frequently leads to the formation of a…

The paper presents a stochastic analysis of the growth rate of viscous fingers in miscible displacement in a heterogeneous porous medium. The statistical parameters characterizing the permeability distribution of a reservoir vary over a…

流体动力学 · 物理学 2023-03-21 I. A. Starkov , D. A. Pavlov , S. B. Tikhomirov , F. L. Bakharev

The graded viscosity banks technology (tapering) for polymer flooding is studied for several different models of mixing zones behavior. Depending on the viscosity function the limiting polymer injection profile is rigorously derived for the…

经典分析与常微分方程 · 数学 2023-06-28 F. Bakharev , A. Enin , K. Kalinin , Yu. Petrova , N. Rastegaev , S. Tikhomirov

Viscous fingering is a well-known hydrodynamic instability that sets in when a less viscous fluid displaces a more viscous fluid. When the two fluids are miscible, viscous fingering introduces disorder in the velocity field and exerts a…

流体动力学 · 物理学 2015-03-17 Birendra Jha , Luis Cueto-Felgueroso , Ruben Juanes

Velocity relaxation of a spherically symmetric polymer, immersed in a viscous incompressible fluid, and after a sudden small impulse or a sudden twist from a state of rest, is studied on the basis of the linearized Navier-Stokes equations…

流体动力学 · 物理学 2015-06-17 B. U. Felderhof

The non-linear response of entangled polymers to shear flow is complicated. Its current understanding is framed mainly as a rheological description in terms of the complex viscosity. However, the full picture requires an assessment of the…

计算物理 · 物理学 2018-08-21 Airidas Korolkovas , Philipp Gutfreund , Max Wolff

Mixing in open incompressible flows is studied in a model problem with inhomogeneous passive scalar injection on an inlet boundary. As a measure of the efficiency of stirring, the bulk scalar concentration variance is bounded and the bound…

流体动力学 · 物理学 2015-05-18 Jean-Luc Thiffeault , Charles R. Doering

A change of solute dispersion regime with the flow velocity has been studied both at the macroscopic and pore scales in a transparent array of capillary channels using an optical technique allowing for simultaneous local and global…

流体动力学 · 物理学 2007-05-23 Maria Veronica D'Angelo , Harold Auradou , Catherine Allain , Jean-Pierre Hulin

The linear stability of miscible displacement for radial source flow at infinite P\'eclet number in a Hele-Shaw cell is calculated theoretically. The axisymmetric self-similar flow is shown to be unstable to viscous fingering if the…

流体动力学 · 物理学 2025-04-09 John R. Lister , Tim-Frederik Dauck

When injected through a contraction, high molecular weight polymer solutions exhibit a sharp increase of apparent viscosity which originates from stretching polymer chains above a critical extension rate. This chain stretching can also…

流体动力学 · 物理学 2020-04-22 Sandeep Garrepally , Stephane Jouenne , Peter D. Olmsted , Francois Lequeux

This study outlines a model for injected fluid flow in a vertically confined porous aquifer with mechanical dispersion. Existing studies have investigated the behaviour and geometry of immiscible fluid flow in this setting, where the…

流体动力学 · 物理学 2024-06-19 Benjamin W. A. Hyatt , Yuri Leonenko

We report experimental measurements of Lagrangian accelerations in the bulk of intense turbulent flows of dilute polymer solutions by following tracer particles with a high-speed optical tracking system. We observed a significant decrease…

流体动力学 · 物理学 2009-11-13 Alice M. Crawford , Nicolas Mordant , Haitao Xu , Eberhard Bodenschatz

We investigate the dynamics of viscous fingering (VF) in miscible slices in homogeneous, isotropic porous media. The fluid flow is governed by incompressible Darcy's law, whereas the solute transport is described using an…

流体动力学 · 物理学 2026-04-13 Mijanur Rahaman , Jiten C. Kalita , Satyajit Pramanik

The viscous fingering instability, which forms when a less-viscous fluid invades a more-viscous one within a confined geometry, is an iconic system for studying pattern formation. For both miscible and immiscible fluid pairs the growth…

流体动力学 · 物理学 2025-02-25 Savannah D. Gowen , Thomas E. Videbaek , Sidney R. Nagel

Viscous fingering of a miscible high viscosity slice of fluid displaced by a lower viscosity fluid is studied in porous media by direct numerical simulations of Darcy's law coupled to the evolution equation for the concentration of a solute…

流体动力学 · 物理学 2023-04-12 Anne De Wit , Yann Bertho , Michel Martin

The properties of semidilute polymer solutions are investigated at equilibrium and under shear flow by mesoscale simulations, which combine molecular dynamics simulations and the multiparticle collision dynamics approach. In semidilute…

软凝聚态物质 · 物理学 2015-03-19 Chien-Cheng Huang , Roland G. Winkler , Godehard Sutmann , Gerhard Gompper

Polymer solutions subject to pressure driven flow and in nanoscale slit pores are systematically investigated using the dissipative particle dynamics approach. We investigated the effect of molecular weight, polymer concentration and flow…

软凝聚态物质 · 物理学 2015-06-25 J. A. Millan , W. Jiang , M. Laradji , Y. Wang

Viscous and gravitational fingering refer to flow instabilities in porous media that are triggered by adverse mobility or density ratios, respectively. These instabilities have been studied extensively in the past for 1) single-phase flow…

流体动力学 · 物理学 2016-02-15 Joachim Moortgat

Many biological fluids are composed of suspended polymers immersed in a viscous fluid. A prime example is mucus, where the polymers are also known to form a network. While the presence of this microstructure is linked with an overall…

流体动力学 · 物理学 2024-10-10 Adam K. Townsend , Eric E. Keaveny

We study the displacement of three immiscible Stokes fluids with constant viscosities in a porous medium. The middle-layer fluid is contained in a bounded region. We give an analysis of the linear stability of this process. This stability…

偏微分方程分析 · 数学 2022-03-22 Gelu I. Pasa
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