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When modelling fluid flow in fractured reservoirs, it is common to represent the fracturesas lower-dimensional inclusions embedded in the host medium. Existing discretizationsof flow in porous media with thin inclusions assume that the…

Numerical Analysis · Mathematics 2021-01-22 Michele Starnoni , Inga Berre , Eirik Keilegavlen , Jan M. Nordbotten

Understanding and controlling fracture propagation is one of the most challenging engineering problems, especially in the oil and gas sector, groundwater hydrology and geothermal energy applications. Predicting the fracture orientation…

Materials Science · Physics 2023-04-04 Ramesh Kannan Kandasami , Charalampos Konstantinou , Giovanna Biscontin

Flow and transport in fractured geological media are strongly controlled by aperture heterogeneity and uncertainty in subsurface characterisation, yet most upscaling approaches rely on deterministic representations of fracture permeability.…

Computational Physics · Physics 2026-04-20 Sarah Perez , Florian Doster , Hannah Menke , Ahmed ElSheikh , Andreas Busch

This work develops a computational and theoretical framework for determining effective permeabilities in anisotropic microscopic geometries containing dense, fibre-like obstacles, motivated by the need to model flow in coiled aneurysm…

We report results of dissipative particle dynamics simulations and develop a semi-analytical theory of an anisotropic flow in a parallel-plate channel with two superhydrophobic striped walls. Our approach is valid for any local slip at the…

Fluid Dynamics · Physics 2015-06-04 Jiajia Zhou , Aleksey V. Belyaev , Friederike Schmid , Olga I. Vinogradova

In this paper we apply the lattice-Boltzmann method and an extension to particle suspensions as introduced by Ladd et al. to study transport phenomena and structuring effects of particles suspended in a fluid near sheared solid walls. We…

Soft Condensed Matter · Physics 2007-05-23 A. Komnik , J. Harting , H. J. Herrmann

The electro-osmotic flow through a channel between two undulated surfaces induced by an external electric field is investigated. The gap of the channel is very small and comparable to the thickness of the electrical double layers. A lattice…

Soft Condensed Matter · Physics 2016-05-24 Hiroaki Yoshida , Tomoyuki Kinjo , Hitoshi Washizu

The drilling of geothermal energy, CO2 sequestration, and wastewater injection all involve the pressurized flow of fluids through porous rock, which can cause deformation and fracture of the material. Despite the widespread use of these…

Geophysics · Physics 2023-09-06 Shaimaa Sulieman , Martin Stolar , Ludmila Abezgauz , Shouceng Tian , Yaniv Edery

We consider the release and subsequent gravity-driven spreading of a finite volume of fluid in an anisotropic porous medium bounded by an impermeable substrate. When the permeability in the vertical direction is much smaller than the…

Fluid Dynamics · Physics 2023-04-24 GP Benham

We present a hydrodynamic theory of anisotropic and inversion-asymmetric moving active permeable fluid membranes. These are described by an anisotropic Kardar-Parisi-Zhang equation. Depending upon the anisotropy parameters, the membrane is…

Statistical Mechanics · Physics 2025-12-01 Debayan Jana , Astik Haldar , Abhik Basu

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

Soft particles suspended in fluids flowing through microchannels are often encountered in biological flows such as cells in vessels. They can deform under flow or when subject to mechanical stresses as they interact with themselves.…

Soft Condensed Matter · Physics 2021-01-19 Danilo P. F. Silva , Rodrigo C. V. Coelho , Margarida M. Telo da Gama , Nuno A. M. Araújo

How does pore liquid reconfigure within shear bands in wet granular media? Conventional wisdom predicts that liquid is drawn into dilating granular media. We, however, find a depletion of liquid in shear bands despite increased porosity due…

Soft Condensed Matter · Physics 2015-06-05 Roman Mani , Dirk Kadau , Dani Or , Hans J. Herrmann

We present here the measurement of the diffusivity of spherical particles closely confined by narrow microchannels. Our experiments yield a two-dimensional map of the position-dependent diffusion coefficients parallel and perpendicular to…

Fluid Dynamics · Physics 2014-06-20 Simon L Dettmer , Stefano Pagliara , Karolis Misiunas , Ulrich F Keyser

To make progress towards the development of a theory on the motion of inclusions in thin structured films and membranes, we here consider as an initial step a circular disk in a two-dimensional, uniaxially anisotropic fluid layer. We assume…

Soft Condensed Matter · Physics 2024-09-02 Abdallah Daddi-Moussa-Ider , Elsen Tjhung , Thomas Richter , Andreas M. Menzel

Recent experiments have shown that when a near-hemispherical lipid vesicle attached to a solid surface is subjected to a simple shear flow it exhibits a pattern of membrane circulation much like a dipole vortex. This is in marked contrast…

Fluid Dynamics · Physics 2012-08-14 Francis G. Woodhouse , Raymond E. Goldstein

The displacement of multiphase fluid flow in a pore doublet is a fundamental problem, and is also of importance in understanding of the transport mechanisms of multiphase flows in the porous media. During the displacement of immiscible…

Fluid Dynamics · Physics 2023-06-14 Fang Shan , Zhenhua Chai , Baochang Shi , Meng Zhao

The displacement of a fluid by another less viscous one in a quasi-two dimensional geometry typically leads to complex fingering patterns. In an isotropic system, dense-branching growth arises, which is characterized by repeated…

Fluid Dynamics · Physics 2021-01-19 Qing Zhang , Amin Amooie , Martin Z. Bazant , Irmgard Bischofberger

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…

In laboratory experiments that impose shear deformation on partially molten aggregates of initially uniform porosity, melt segregates into high-porosity sheets (bands in cross-section). The bands emerge at 15-20 degrees to the shear plane.…

Geophysics · Physics 2023-07-19 Yasuko Takei , Richard F. Katz