English
Related papers

Related papers: Simulating temporal evolution of pressure in two-p…

200 papers

We consider an immiscible two-phase flow in a heterogeneous one-dimensional porous medium. We suppose particularly that the capillary pressure field is discontinuous with respect to the space variable. The dependence of the capillary…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

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…

Analysis of PDEs · Mathematics 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

We study two-phase displacement via the steady compression of an air reservoir connected to an oil-filled capillary tube. Our experiments and modelling reveal complex displacement dynamics depending on compression rate and reservoir volume…

Fluid Dynamics · Physics 2023-04-28 Callum Cuttle , Christopher W. MacMinn

Detailed understanding of the couplings between fluid flow and solid deformation in porous media is crucial for the development of novel technologies relating to a wide range of geological and biological processes. A particularly…

Soft Condensed Matter · Physics 2021-06-23 Francisco J. Carrillo , Ian C. Bourg

We discuss the problem of trapping and mobilization of nonwetting fluids during immiscible two phase displacement processes in porous media. Capillary desaturation curves give residual saturations as a function of capillary number.…

Materials Science · Physics 2007-05-23 A. Lucian , R. Hilfer

In this work, we investigate flow topology modifications produced by a swarm of large surfactant-laden droplets released in a turbulent channel flow. Droplets have same density and viscosity of the carrier fluid, so that only surface…

Fluid Dynamics · Physics 2023-09-26 Giovanni Soligo , Alessio Roccon , Alfredo Soldati

In this work, we perform numerical simulations of forced two-phase isotropic turbulence to study the stationary states of a two-phase mixture. We first formulate three different approaches to force a two-phase turbulent flow that maintains…

Fluid Dynamics · Physics 2025-04-08 Suhas S Jain , Ahmed Elnahhas

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

Soft Condensed Matter · Physics 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

In this work, we study the behaviour of saturation fronts for two phase flow through a long homogeneous porous column. In particular, the model includes hysteresis and dynamic effects in the capillary pressure and hysteresis in the…

Dynamical Systems · Mathematics 2019-06-21 Koondanibha Mitra , Tobias Köppl , Cornelis Johannes van Duijn , Iuliu Sorin Pop , Rainer Helmig

We consider a one-dimensional problem modeling two-phase flow in heterogeneous porous media made of two homogeneous subdomains, with discontinuous capillarity at the interface between them. We suppose that the capillary forces vanish inside…

Analysis of PDEs · Mathematics 2009-11-06 Clément Cancès

We demonstrate through numerical simulations and a mean field calculation that immiscible two-phase flow in a porous medium behaves effectively as a Bingham viscoplastic fluid. This leads to a generalized Darcy equation where the volumetric…

Fluid Dynamics · Physics 2012-06-06 Santanu Sinha , Alex Hansen

As a typical multiphase fluid flow process, drainage in porous media is of fundamental interest in nature and industrial applications. During drainage processes in unsaturated soils and porous media in general, saturated clusters, in which…

Soft Condensed Matter · Physics 2018-02-22 Shuoqi Li , Mingchao Liu , Dorian Hanaor , Yixiang Gan

In this paper, we investigate both experimentally and theoretically the dynamics of a liquid plug driven by a cyclic periodic forcing inside a cylindrical rigid capillary tube. First, it is shown that depending on the type of forcing (flow…

Fluid Dynamics · Physics 2018-02-14 S Signe Mamba , J C Magniez , F Zoueshtiagh , M Baudoin , S Mamba

A pore-scale model is introduced for two-phase flow in dense packings of polydisperse spheres. The model is developed as a component of a more general hydromechanical coupling framework based on the discrete element method, which will be…

Soft Condensed Matter · Physics 2016-01-06 Chao Yuan , Bruno Chareyre , Félix Darve

It is well-known that wettability exerts fundamental control over multiphase flow in porous media, which has been extensively studied in uniform-wet porous media. In contrast, multiphase flow in porous media with heterogeneous wettability…

Soft Condensed Matter · Physics 2022-07-12 Ashkan Irannezhad , Bauyrzhan K. Primkulov , Ruben Juanes , Benzhong Zhao

Drainage, in which a nonwetting fluid displaces a wetting fluid from a porous medium, is well-studied for media with unchanging solid surfaces. However, many media can be eroded by drainage, with eroded material redeposited in pores…

We study a one dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated non-linear…

Analysis of PDEs · Mathematics 2009-09-08 Clément Cancès

We present a theoretical and experimental investigation of slow drainage in porous media with a gradient in the grains size (and hence in the typical pores' throats), in an external gravitational field. We mathematically show that such…

Soft Condensed Matter · Physics 2022-03-30 Tom Vincent-Dospital , Marcel Moura , Renaud Toussaint , Knut Jørgen Måløy

We propose a new phenomenological approach for describing the dynamics of wetting front propagation in porous media. Unlike traditional models, the proposed approach is based on dynamic nature of the relation between capillary pressure and…

patt-sol · Physics 2009-10-31 Igor Mitkov , Daniel M. Tartakovsky , C. Larrabee Winter

Microfluidic devices offer unique opportunities to directly observe multiphase flow in porous media. However, as a direct representation of flow in geological pore networks, conventional microfluidics face several challenges. One is that…

Fluid Dynamics · Physics 2026-03-11 S. J. Cox , A. Davarpanah , W. R. Rossen