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We present a percolation model that is inspired by recent works on immiscible two-phase flow in a mixed-wet porous medium made of a mixture of grains with two different wettability properties. The percolation model is constructed on a dual…

Statistical Mechanics · Physics 2025-09-24 Jnana Ranjan Das , Santanu Sinha , Alex Hansen , Sitangshu B. Santra

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

We use the Poisson-Boltzmann theory to predict contact angle saturation of aqueous droplets in electrowetting. Our theory predicts that injection of ions from the droplet into its surrounding medium is responsible for the deviation of the…

Soft Condensed Matter · Physics 2016-02-19 Tetsuya Yamamoto , Masao Doi , David Andelman

Here, we develop a time-dependent pore network model (PNM) to simulate the effects of surfactant-induced IFT reduction on immiscible displacement driven by constant inlet pressure, with pressure drops across the network calculated using a…

Soft Condensed Matter · Physics 2025-05-21 Debanik Bhattacharjee , Guy Z. Ramon , Yaniv Edery

A filtration procedure was developed to measure the reversibility of fouling during cross-flow filtration based on the square wave of applied pressure. The principle of this method, the apparatus required, and the associated mathematical…

Soft Condensed Matter · Physics 2008-01-18 Benjamin Espinasse , Patrice Bacchin , Pierre Aimar

For evaluation of the undrained thermo-poro-elastic properties of saturated porous materials in conventional triaxial cells, it is important to take into account the effect of the dead volume of the drainage system. The compressibility and…

Geophysics · Physics 2009-03-17 Siavash Ghabezloo , Jean Sulem

The phase behavior of colloidal particles embedded in a binary fluid is influenced by wetting layers surrounding each particle. The free energy of the fluid film depends on its morphology, i.e., on size, shape and connectivity. Under rather…

Soft Condensed Matter · Physics 2007-05-23 Uwe Brodatzki , Klaus Mecke

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.…

Soft Condensed Matter · Physics 2022-02-14 Chao-Zhong Qin , Xin Wang , Mahmoud Hefny , Jianlin Zhao , Bo Guo

An industrial scheme, to simulate the two compressible phase flow in porous media, consists in a finite volume method together with a phase-by-phase upstream scheme. The implicit finite volume scheme satisfies industrial constraints of…

Numerical Analysis · Mathematics 2012-02-24 Bilal Saad , Mazen Saad

Capillary fingering is a displacement process that can occur when a non-wetting fluid displaces a wetting fluid from a homogeneous disordered porous medium. Here, we investigate how this process is influenced by a pore size gradient. Using…

Soft Condensed Matter · Physics 2022-06-07 Nancy B. Lu , Christopher A. Browne , Daniel B. Amchin , Janine K. Nunes , Sujit S. Datta

In the context of stochastic two-phase flow in porous media, we introduce a novel and efficient method to estimate the probability distribution of the wetting saturation field under uncertain rock properties in highly heterogeneous porous…

Fluid Dynamics · Physics 2017-08-22 Fayadhoi Ibrahima , Hamdi A. Tchelepi , Daniel W. Meyer

We predict the volume of liquid recovered from different-shaped prismatic channels following gas displacement. This recovery factor depends strongly on the contact angle at which the gas-liquid interfaces meet the walls of the channel. We…

Fluid Dynamics · Physics 2022-05-04 Afshin Davarpanah , Simon Cox

During evaporation in porous media, two types of corner films are distinguished. A continuous corner film is connected to the bulk liquid, while a discontinuous one is not. To disclose their effects on evaporation in porous media, a pore…

Fluid Dynamics · Physics 2021-02-03 Rui Wu , Tao Zhang , Chao Ye , C. Y. Zhao , Evangelos Tsotsas , Abdolreza Kharaghani

The aim of this paper is to investigate the asymptotic behavior of a biphase tumor fluid flow derived by 2-scale homogenisation techniques in recent works. This biphase fluid flow model accounts for the capillary wall permeability, and the…

Analysis of PDEs · Mathematics 2021-01-12 Cristina Vaghi , Sébastien Benzekry , Clair Poignard

In this study, we develop a probabilistic approach to map the parametric uncertainty to the output state uncertainty in first-order hyperbolic conservation laws. We analyze this problem for nonlinear immiscible two-phase transport in…

Computational Physics · Physics 2021-05-11 Farzaneh Rajabi , Hamdi A. Tchelepi

In this contribution we present the first formulation of a heterogeneous multiscale method for an incompressible immiscible two-phase flow system with degenerate permeabilities. The method is in a general formulation which includes…

Numerical Analysis · Mathematics 2014-11-24 Patrick Henning , Mario Ohlberger , Ben Schweizer

We consider a multiscale approach based on immersed methods for the efficient computational modeling of tissues composed of an elastic matrix (in two or three-dimensions) and a thin vascular structure (treated as a co-dimension two…

Numerical Analysis · Mathematics 2021-11-18 Luca Heltai , Alfonso Caiazzo

Drainage in porous media can be broken down into two main mechanisms: a primary piston-like displacement of the interfaces through the bulk of pore bodies and throats, and a secondary slow flow through corners and films in the wake of the…

In this study, we develop a saturation-dependent treatment of dispersion in porous media using concepts from critical path analysis, cluster statistics of percolation, and fractal scaling of percolation clusters. We calculate spatial solute…

Fluid Dynamics · Physics 2015-06-11 B. Ghanbarian-Alavijeh , Thomas E. Skinner , Allen G. Hunt

Liquid-infused membranes inspired by slippery liquid-infused porous surfaces (SLIPS) have been recently introduced to membrane technology. The gating mechanism of these membranes is expected to give rise to anti-fouling properties and…