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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

We propose a novel macroscopic model for conjugate heat and mass transfer between a \emph{mobile region}, where advective transport is significant, and a set of \emph{immobile regions} where diffusive transport is dominant. Applying a…

Computational Physics · Physics 2020-04-15 Federico Municchi , Matteo Icardi

We present a flexible scalable open-source computational framework, named SECUReFoam, based on the finite-volume library OpenFOAM(R), for flow and transport problems in highly heterogeneous geological media and other porous materials. The…

Numerical Analysis · Mathematics 2022-12-22 Matteo Icardi , Eugenio Pescimoro , Federico Municchi , Juan H Hidalgo

Stochastic modeling has become a popular approach to quantify uncertainty in flows through heterogeneous porous media. The uncertainty in heterogeneous structure properties is often parameterized by a high-dimensional random variable. This…

Numerical Analysis · Mathematics 2013-10-22 Lijian Jiang , J. David Moulton , Jia Wei

A major challenge in flow through porous media is to better understand the link between microstructure and macroscale flow and transport. For idealised microstructures, the mathematical framework of homogenisation theory can be used for…

Permeability and heat transport through building materials ultimately dictates their insulatory performance over a buildings service lifetime. Experiments combining XCT with numerical modelling are an accepted method of studying pore scale…

Materials Science · Physics 2024-05-31 Hannah P. Menke , Katherine M. Hood , Kamaljit Singh , Gabriela M. Medero , Julien Maes

The study of multiphase flows in porous media is fundamental to various fields, including oil recovery, CO2 sequestration, hydrogeology, and others. Accurate predictions of fluid behavior in these systems can enhance process efficiency…

Fluid Dynamics · Physics 2025-09-17 Roberto Lange , Gabriel M. Magalhães , Franciane F. Rocha , Hélio R. Neto

We propose a unified physical framework for transport in variably saturated porous media. This approach allows fluid flow and solute migration to be treated as ensemble averages of fluid and solute particles, respectively. We consider the…

Statistical Mechanics · Physics 2010-03-09 Andrea Zoia , Marie-Christine Néel , Andrea Cortis

The prediction of pressure and flow distributions inside porous membranes is important if the geometry deviates from single-bore tubular geometries. This task remains challenging, especially when considering local porosity variations caused…

Fluid Dynamics · Physics 2022-04-12 Denis Wypysek , Deniz Rall , Tobias Neef , Alex Jarauta , Marc Secanell , Matthias Wessling

In this paper, we propose a local-global multiscale mortar mixed finite element method (MMMFEM) for multiphase transport in heterogeneous media. We consider the two-phase flow system, the pressure equation is solved via the multiscale…

Numerical Analysis · Mathematics 2019-10-02 Shubin Fu , Eric Chung

It is well known that domain-decomposition-based multiscale mixed methods rely on interface spaces, defined on the skeleton of the decomposition, to connect the solution among the non-overlapping subdomains. Usual spaces, such as…

Numerical Analysis · Mathematics 2023-04-10 Franciane F. Rocha , Fabricio S. Sousa , Roberto F. Ausas , Felipe Pereira , Gustavo C. Buscaglia

Mathematical models based on probability density functions (PDF) have been extensively used in hydrology and subsurface flow problems, to describe the uncertainty in porous media properties (e.g., permeability modelled as random field).…

Fluid Dynamics · Physics 2020-06-01 Matteo Icardi , Marco Dentz

When a fluid carrying a passive solute flows quickly through porous media, three key macroscale transport mechanisms occur. These mechanisms are diffusion, advection and dispersion, all of which depend on the microstructure of the porous…

Fluid Dynamics · Physics 2024-10-16 Lucy C Auton , Mohit P. Dalwadi , Ian M. Griffiths

A multiporosity extension of classical double and triple porosity fractured rock flow models for slightly compressible fluids is presented. The multiporosity model is an adaptation of the multirate solute transport model of Haggerty and…

Geophysics · Physics 2016-07-20 Kristopher L. Kuhlman , Bwalya Malama , Jason E. Heath

The lattice Boltzmann method (LBM) is a popular numerical framework to investigate single and multiphase flow though porous media. For estimation of absolute permeability based on micro-tomographic images of the porous medium, the…

Computational Physics · Physics 2019-03-01 Parthib Rao , Laura Schaefer

Porous and heterogeneous materials are found in many applications from composites, membranes, chemical reactors, and other engineered materials to biological matter and natural subsurface structures. In this work we propose an integrated…

Computational Physics · Physics 2019-09-15 Gianluca Boccardo , Eleonora Crevacore , Alberto Passalacqua , Matteo Icardi

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

The following work compares two popular mixed finite elements used to model subsurface flow and transport in heterogeneous porous media; the lowest order Raviart-Thomas element and the variational multiscale stabilized element. Comparison…

Numerical Analysis · Computer Science 2015-03-17 D. Z. Turner , K. B. Nakshatrala , P. K. Notz

The integration of large language models (LLMs) with robotics has significantly advanced robots' abilities in perception, cognition, and task planning. The use of natural language interfaces offers a unified approach for expressing the…

Robotics · Computer Science 2024-09-27 Wenhao Yu , Jie Peng , Yueliang Ying , Sai Li , Jianmin Ji , Yanyong Zhang

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

Fluid Dynamics · Physics 2021-09-22 Francisco J. Carrillo
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