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Here we give further evidences to support our scaling relation described in our previous paper [cond-mat/0006459, Phys. Rev. Lett. Vol.85, pp.1238 (2000)].

软凝聚态物质 · 物理学 2016-08-16 Chi-Hang Lam , Viktor K. Horváth

We argue that a proposed exponent identity [Phys. Rev. Lett 85, 1238 (2000)] for interface roughening in spontaneous imbibition is wrong. It rests on the assumption that the fluctuations are controlled by a single time scale, but liquid…

软凝聚态物质 · 物理学 2009-11-07 M. Dube , M. Rost , K. R. Elder , M. Alava , S. Majaniemi , T. Ala-Nissila

Imbibition is a commonly encountered multiphase problem in various fields, and exact prediction of imbibition processes is a key issue for better understanding capillary flow in heterogeneous porous media. In this work, a numerical…

软凝聚态物质 · 物理学 2018-05-22 Si Suo , Mingchao Liu , Yixiang Gan

Imbibition phenomena have been widely used experimentally and theoretically to study the kinetic roughening of interfaces. We critically discuss the existing experiments and some associated theoretical approaches on the scaling properties…

无序系统与神经网络 · 物理学 2009-10-31 M. Dube , M. Rost , M. Alava

We investigate the chemical dissolution of porous media using a network model in which the system is represented as a series of interconnected pipes with the diameter of each segment increasing in proportion to the local reactant…

流体动力学 · 物理学 2015-06-12 Agnieszka Budek , Piotr Szymczak

Spontaneous imbibition has been receiving much attention due to its significance in many subsurface and industrial applications. Unveiling pore-scale wetting dynamics, and particularly its upscaling to the Darcy scale are still unresolved.…

软凝聚态物质 · 物理学 2022-02-14 Chao-Zhong Qin , Xin Wang , Mahmoud Hefny , Jianlin Zhao , Bo Guo

We study the pore-scale transport of a conservative scalar forming an advancing mixing front, which can be re-interpreted to predict instantaneous mixing-limited bimolecular reactions. We investigate this using a set of two-dimensional,…

流体动力学 · 物理学 2024-11-07 Saif Farhat , Guillem Sole-Mari , Diogo Bolster

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

流体动力学 · 物理学 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

We report experiments on spontaneous imbibition of a viscous fluid by a model porous medium in the absence of gravity. The average position of the interface satisfies Washburn's law. Scaling of the interface fluctuations provides a dynamic…

无序系统与神经网络 · 物理学 2009-11-10 J. Soriano , A. Mercier , R. Planet , A. Hernandez-Machado , M. A. Rodriguez , J. Ortin

Traditional approaches to mathematically describe spontaneous imbibition are usually based on either macro-scale models, such as Richards equation, or simplified pore-scale models, such as the bundle of capillary tubes (BCTM) or…

流体动力学 · 物理学 2024-08-07 Luka Malenica , Zhidong Zhang , Ueli Angst

Recent experiments of imbibition in columnar geometries show interfacial fluctuations whose dynamic scaling is not compatible with the usual non local model governed by surface tension that results from a macroscopic description. To explore…

统计力学 · 物理学 2009-11-13 M. Pradas , A. Hernández-Machado , M. A. Rodríguez

Imbibition, the displacement of a nonwetting fluid by a wetting fluid, plays a central role in diverse energy, environmental, and industrial processes. While this process is typically studied in homogeneous porous media with uniform…

流体动力学 · 物理学 2022-06-07 Nancy B. Lu , Daniel B. Amchin , Sujit S. Datta

We present a scaling theory for the long time behavior of spontaneous imbibition in porous media consisting of interconnected pores with a large length-to-width ratio. At pore junctions the meniscus propagation in one or more branches can…

无序系统与神经网络 · 物理学 2013-04-19 Zeinab Sadjadi , Heiko Rieger

A deep understanding of two-phase displacement in porous media with permeability contrast is essential for the design and optimisation of enhanced oil recovery processes. In this paper, we investigate the forced imbibition behaviour in two…

流体动力学 · 物理学 2021-07-01 Qingqing Gu , Haihu Liu , Lei Wu

The simulation of fluid flow in real, multiscale porous media remains challenging due to the complexity of nanoscale phenomena and the difficulty of developing upscaling methodologies. In this study, we introduce a multiscale filtration…

流体动力学 · 物理学 2026-05-13 Irina Nesterova , Rustem Sirazov , Aleksey Khlyupin

In this article an upscaled model is presented, for complex networks with highly clustered regions exchanging some abstract quantities in both, microscale and macroscale level. Such an intricate system is approximated by a partitioned open…

偏微分方程分析 · 数学 2020-08-21 Fernando A Morales , Sebastián Naranjo Álvarez

We study avalanche dynamics and local activity of forced-flow imbibition fronts in disordered media. We focus on the front dynamics as the mean velocity $\bar{v}$ of the interface is decreased and the pinning state is approached. Scaling…

统计力学 · 物理学 2010-03-05 Marc Pradas , Juan M. López , A. Hernández-Machado

Imbibition plays a central role in diverse energy, environmental, and industrial processes. In many cases, the medium has multiple parallel strata of different permeabilities; however, how this stratification impacts imbibition is poorly…

We investigate two-phase flow in porous media and derive a two-scale model, which incorporates pore-scale phase distribution and surface tension into the effective behavior at the larger Darcy scale. The free-boundary problem at the pore…

偏微分方程分析 · 数学 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

A model-based description of the scaling and radial location of turbulent fluctuations in turbulent pipe flow is presented and used to illuminate the scaling behaviour of the very large scale motions. The model is derived by treating the…

流体动力学 · 物理学 2010-12-06 B. J. McKeon , A. S. Sharma
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