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When a fluid is pumped into a cavity in a confined elastic layer, at a critical pressure, destabilizing fingers of fluid invade the elastic solid along its meniscus (Saintyves, Dauchot, and Bouchaud, 2013). These fingers occur without…

Soft Condensed Matter · Physics 2015-06-11 J. S. Biggins , Z. Wei , L. Mahadevan

We analyse the flow curves of a two-dimensional assembly of granular particles which are interacting via frictional contact forces. For packing fractions slightly below jamming, the fluid undergoes a large scale instability, implying a…

Soft Condensed Matter · Physics 2020-01-22 Shibu Saw , Mathias Grob , Annette Zippelius , Claus Heussinger

Natural porous systems, such as soil, membranes, and biological tissues comprise disordered structures characterized by dead-end pores connected to a network of percolating channels. The release and dispersion of particles, solutes, and…

The process of one fluid pushing another is universally common while involving complex interfacial instabilities. Particularly, occurring in a myriad of natural and industrial processes, wavy fingering patterns frequently emerge when a less…

Fluid Dynamics · Physics 2022-05-18 Alban Pouplard , Peichun Amy Tsai

We investigate the stabilization mechanisms of the invasion front in two-dimensional drainage displacement in porous media by using a network simulator. We focus on the process when the front stabilizes due to the viscous forces in the…

Fluid Dynamics · Physics 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen

We study the transport of inertial particles in water flow in porous media. Our interest lies in understanding the accumulation of particles including the possibility of clogging. We propose that accumulation can be a result of hydrodynamic…

We present in detail a set of algorithms to carry out fluid displacements in a dynamic pore-network model of immiscible two-phase flow in porous media. The algorithms are general and applicable to regular and irregular pore networks in two…

Fluid Dynamics · Physics 2019-07-31 Santanu Sinha , Magnus Aa. Gjennestad , Morten Vassvik , Alex Hansen

This paper concerns a diffuse interface model for the flow of two incompressible viscoelastic fluids in a bounded domain. More specifically, the fluids are assumed to be macroscopically immiscible, but with a small transition region, where…

Analysis of PDEs · Mathematics 2024-11-15 Yadong Liu , Dennis Trautwein

We study the role of the capillary number, $Ca$ and of the surface wettability on the dynamics of the interface between an invading and a defending phase in a porous medium by means of numerical simulations. We employ a hybrid phase…

The growth of interfacial instabilities during fluid displacements can be driven by gradients in pressure, viscosity and surface tension, and by applying external fields. Since displacements of non-Newtonian fluids such as polymer…

Soft Condensed Matter · Physics 2024-07-02 Vaibhav Raj Singh Parmar , Ranjini Bandyopadhyay

It is well known that the transient behavior during drainage or imbibition in multiphase flow in porous media strongly depends on the history and initial condition of the system. However, when the steady-state regime is reached and both…

The behaviour of two dimensional binary and ternary amphiphilic fluids under flow conditions is investigated using a hydrodynamic lattice gas model. After the validation of the model in simple cases (Poiseuille flow, Darcy's law for single…

Soft Condensed Matter · Physics 2009-10-31 J. -B. Maillet , Peter V. Coveney

Pulsatile flow through compressed or defective blood vessels is a topic of fundamental importance in hemodynamics, particularly in cardiovascular research. This study examines flow dynamics within a tube with a bipolar cross section,…

Medical Physics · Physics 2025-03-04 Doyeol , Ahn

The present paper proposes a two-phase flow model that is able to account for two-scale kinematics and two-scale surface tension effects based on geometric variables at small scale. At large scale, the flow and the full geometry of the…

Fluid Dynamics · Physics 2019-11-01 Pierre Cordesse , Samuel Kokh , Ruben Di Battista , Florence Drui , Marc Massot

Flows through porous media can carry suspended and dissolved materials. These sediments may deposit inside the pore-space and alter its geometry. In turn, the changing pore structure modifies the preferential flow paths, resulting in a…

Fluid Dynamics · Physics 2024-06-19 H. J. Seybold , Izael A. Lima , Ascânio D. Araújo

We study solute-laden flow through permeable geological formations with a focus on advection-dominated transport and volume reactions. As the fluid flows through the permeable medium, it reacts with the medium, thereby changing the…

Numerical Analysis · Mathematics 2023-09-21 Mina Karimi , Kaushik Bhattacharya

Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous properties compared to the surrounding rock matrix,…

Numerical Analysis · Mathematics 2024-07-09 Enrico Ballini , Luca Formaggia , Alessio Fumagalli , Eirik Keilegavlen , Anna Scotti

Patterns formed by the flow of an inhomogeneous fluid (suspension) over a smooth inclined surface were studied. It was observed that for inclination angle larger than a threshold, global fractal patterns are formed. The fractal dimensions…

Disordered Systems and Neural Networks · Physics 2007-05-23 Maleki-Jirsaraei , B. Ghane-Motlagh , S. Baradaran , E. Shekarian , S. Rouhani

Understanding processes in porous media is fundamental to a broad spectrum of environmental, energy, and geoscience applications. These processes include multiphase fluid transport, interfacial dynamics, reactive transformations, and…

Fluid Dynamics · Physics 2025-10-08 Na Liu , Jakub Wiktor Both , Geir Ersland , Jan Martin Nordbotten , Martin Fernø

We study the stability of multi-layer radial flows in porous media within the Hele-Shaw model. We perform a linear stability analysis for radial flows consisting of an arbitrary number of fluid layers with interfaces separating fluids of…

Fluid Dynamics · Physics 2018-11-28 Craig Gin , Prabir Daripa