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A comprehensive scheme for the spatial discretisation of continuity equation, momentum advection and normal and shear stresses at the fluid interfaces is presented for numerically simulating the incompressible two phase flows based on the…

Fluid Dynamics · Physics 2014-08-11 Jun-De Li

We study the axisymmetric propagation of a viscous gravity current over a deep porous medium into which it also drains. A model for the propagation and drainage of the current is developed and solved numerically in the case of constant…

Fluid Dynamics · Physics 2009-11-13 Melissa J. Spannuth , Jerome A. Neufeld , J. S. Wettlaufer , M. Grae Worster

A recent experiment has considered the effective permeability of two-phase flow of air and a water-glycerol solution under steady-state conditions in a two-dimensional model porous medium, and found a power law dependence with respect to…

Fluid Dynamics · Physics 2012-05-09 Morten Grøva

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

This study presents a novel workflow for constructing hybrid macropore-Darcy models from micro-CT images of microporous rocks. In our approach, macropore networks are extracted using established methods, while the microporosity is…

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

We present accurate and mathematically consistent formulations of a diffuse-interface model for two-phase flow problems involving rapid evaporation. The model addresses challenges including discontinuities in the density field by several…

Computational Engineering, Finance, and Science · Computer Science 2024-11-04 Magdalena Schreter-Fleischhacker , Peter Munch , Nils Much , Martin Kronbichler , Wolfgang A. Wall , Christoph Meier

The paper presents a new type of weakly nonlinear two-scale model of inflatable periodic poroelastic structures saturated by Newtonian fluids. The periodic microstructures incorporate fluid inclusions connected to the fluid channels by…

Analysis of PDEs · Mathematics 2025-08-28 Eduard Rohan , Vladimír Lukeš

The dynamic properties of a model transient network have been studied by dynamic light scattering. The network is formed by microemulsion droplets linked by telechelic polymers (modified hydrophilic polymers with two grafted hydrophobic…

Soft Condensed Matter · Physics 2007-05-23 Jacqueline Appell , Eric Michel , Gregoire Porte , Luca Cipelletti

Simulating hair dynamics that generalize across arbitrary hairstyles, body shapes, and motions is a critical challenge. Our novel two-stage neural solution is the first to leverage Transformer-based architectures for such a broad…

Graphics · Computer Science 2025-07-18 Joy Xiaoji Zhang , Jingsen Zhu , Hanyu Chen , Steve Marschner

Flow through passive porous media is typically described in terms of a linear theory relating current fluxes and driving forces, in the presence of a prescribed heterogeneous permeability. However, many porous systems such as glacial…

Statistical Mechanics · Physics 2015-04-08 Samuel A. Ocko , L. Mahadevan

Channel formation and branching is widely seen in physical systems where movement of fluid through a porous structure causes the spatiotemporal evolution of the medium in response to the flow, in turn causing flow pathways to evolve. We…

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

We study modeling of two-phase flow in highly heterogeneous fractured and porous media. The flow behaviour is strongly influenced by mass transfer between a highly permeable (mobile) fracture domain and less permeable (immobile) matrix…

Fluid Dynamics · Physics 2016-11-28 Jan Tecklenburg , Insa Neuweiler , Jesus Carrera , Marco Dentz

In this paper a new primal-dual mixed finite element method is introduced, aimed to model multiscale problems with several geometric subregions in the domain of interest. In each of these regions porous media fluid flow takes place, but…

Numerical Analysis · Mathematics 2020-08-21 Fernando A Morales

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

Liquid dropout and retention in gas-condensate reservoirs, specially in the near wellbore region, obstruct gas flowing paths and impact negatively the produced fluid volume and composition. Yet, condensate banking forecasting is commonly…

Fluid Dynamics · Physics 2020-11-18 Paula Reis , Marcio Carvalho

The paper addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distibuted poroelastic inclusions, with low permeabilities and with imperfect…

Analysis of PDEs · Mathematics 2012-12-06 Abdelhamid Ainouz

We derive and study a new hyperbolic two-phase model of a porous deformable medium saturated by a viscous fluid. The governing equations of the model are derived in the framework of Symmetric Hyperbolic Thermodynamically Compatible (SHTC)…

Fluid Dynamics · Physics 2022-07-04 Evgeniy Romenski , Galina Reshetova , Ilya Peshkov

In the past three decades, a wide array of computational methodologies and simulation frameworks has emerged to address the complexities of modeling multi-phase flow and transport processes in fractured porous media. The conformal mesh…

Machine Learning · Computer Science 2025-02-26 Mohammed Al Kobaisi , Wenjuan Zhang , Waleed Diab , Hadi Hajibeygi