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We use confocal microscopy to directly visualize the simultaneous flow of both a wetting and a non-wetting fluid through a model three-dimensional (3D) porous medium. We find that, for small flow rates, both fluids flow through unchanging,…

Soft Condensed Matter · Physics 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

Flow in fractured porous media represents a challenge for discretization methods due to the disparate scales and complex geometry. Herein we propose a new discretization, based on the mixed finite element method and mortar methods. Our…

Numerical Analysis · Mathematics 2017-07-18 Wietse M. Boon , Jan M. Nordbotten , Ivan Yotov

The experiment consists of counting and measuring the size of the many fragments observed after the fall of a mercury drop on the floor. The size distribution follows a power-law for large enough fragments. We address the question of a…

Statistical Mechanics · Physics 2007-05-23 P. M. C. de Oliveira , C. A. F. Leite , C. V. Chianca , J. S. Sá Martins , C. F. Moukarzel

In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of faults, with thickness several orders of magnitude smaller than…

Numerical Analysis · Mathematics 2019-08-01 Alessio Fumagalli , Isabelle Faille

Fractals have been at the heart of geophysical and geospatial studies in the recent past. We examine the emergent fractal character of water vapor distributions above the surface of the Earth as a function of both image resolution (number…

Pattern Formation and Solitons · Physics 2025-03-24 Anirudha Menon , Banasri Basu

We study the flow of fluid in porous media in dimensions $d=2$ and 3. The medium is modeled by bond percolation on a lattice of $L^d$ sites, while the flow front is modeled by tracer particles driven by a pressure difference between two…

Most of the existing verification techniques for message-passing programs suppose either that channel endpoints are used in a linear fashion, where at most one thread may send or receive from an endpoint at any given time, or that endpoints…

Programming Languages · Computer Science 2012-12-18 Étienne Lozes , Jules Villard

We simulate a two-dimensional array of droplets being compressed between two walls. The droplets are adhesive due to an attractive depletion force. As one wall moves toward the other, the droplet array is compressed and eventually induced…

Soft Condensed Matter · Physics 2024-01-23 Pablo Eduardo Illing , Jean-Christophe Ono-dit-Biot , Kari Dalnoki-Veress , Eric R. Weeks

This letter presents a new approach using the cosmic peculiar velocity field to characterize the morphology and size of large scale structures in the local Universe. The algorithm developed uses the three-dimensional peculiar velocity field…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-31 A. Dupuy , H. M. Courtois , F. Dupont , F. Denis , R. Graziani , Y. Copin , D. Pomarede , N. Libeskind , E. Carlesi , B. Tully , D. Guinet

Periodic forcing of flow in compressible porous media is an important driver for solute dispersion and mixing in geological and engineered porous media subject for example to tides, pumping and recharge cycles, or fluid injection and…

Fluid Dynamics · Physics 2025-06-17 Satoshi Tajima , Marco Dentz

The paper presents a numerical method for simulating flow and mechanics in fractured rock. The governing equations that couple the effects in the rock mass and in the fractures are obtained using the discrete fracture-matrix approach. The…

Numerical Analysis · Mathematics 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

Informations about the spatial structure of parton distribution within the hadron are provided by the ratios between the inclusive cross sections for a pair of jets, two pairs of jets, three pairs of jets..., and so on. It results, however…

High Energy Physics - Phenomenology · Physics 2007-05-23 Giorgio Calucci , Marco Dazzi Giorgio Calucci , Marco Dazzi

To the naked eye, turbulent flows exhibit whirls of many different sizes. To each size, or scale, corresponds a fraction of the total energy resulting from a cascade in five dimensions: scale, time and three-dimensional space. Understanding…

Fluid Dynamics · Physics 2017-10-23 José I. Cardesa , Alberto Vela-Martín , Javier Jiménez

The effective, fast transport of matter through porous media is often characterized by complex dispersion effects. To describe in mathematical terms such situations, instead of a simple macroscopic equation (as in the classical Darcy's…

Numerical Analysis · Mathematics 2025-05-06 Surendra Nepal , Vishnu Raveendran , Michael Eden , Rainey Lyons , Adrian Muntean

Shear dilation based hydraulic stimulations enable exploitation of geothermal energy from reservoirs with inadequate initial permeability. While contributing to enhancing the reservoir's permeability, hydraulic stimulation processes may…

Geophysics · Physics 2018-08-01 Eren Ucar , Inga Berre , Eirik Keilegavlen

Porosity and dimension are two useful, but different, concepts that quantify the size of fractal sets and measures. An active area of research concerns understanding the relationship between these two concepts. In this article we will…

Classical Analysis and ODEs · Mathematics 2013-03-19 Pablo Shmerkin

In this paper, we show how thread partitioning helps in proving properties of mobile systems. Thread partitioning consists in gathering the threads of a mobile system into several classes. The partitioning criterion is left as a parameter…

Other Computer Science · Computer Science 2008-02-04 Jérôme Feret

We extend the transfer matrix method of one-dimensional hard core fluids placed between confining walls for that case where the particles can pass each other and at most two layers can form. We derive an eigenvalue equation for a…

Statistical Mechanics · Physics 2015-06-29 Peter Gurin , Szabolcs Varga

Fractures play a critical role in governing fluid flow within subsurface energy systems, including oil and gas production, geologic carbon sequestration, and underground hydrogen storage. This study investigated the impact of pore-scale…

Geophysics · Physics 2025-09-04 Ruichang Guo , Hongsheng Wang , Reza Ershadnia , Seyyed Hosseini

A liquid droplet is fragmented by a sudden pressurized-gas blow, and the resulting droplets, adhered to the window of a flatbed scanner, are counted and sized by computerized means. The use of a scanner plus image recognition software…

Statistical Mechanics · Physics 2009-11-13 Cristian F. Moukarzel , Silvia F. Fernandez-Sabido , J. C. Ruiz-Suarez