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Modeling the propagation of cracks at the microscopic level is fundamental to understand the effect of the microstructure on the fracture process. Nevertheless, microscopic propagation is often unstable and when using phase field fracture…

Materials Science · Physics 2024-12-24 Pedro Aranda , Javier Segurado

Subsurface storage of CO2 is predicted to rise exponentially in response to the increasing levels of CO2 in the atmosphere. Large-scale CO2 injections into the subsurface require understanding of the potential for fluid flow through faults…

Geophysics · Physics 2022-05-12 Runar L. Berge , Sarah E. Gasda , Eirik Keilegavlen , Tor Harald Sandve

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

Heat transfer in fractured media is governed by the interplay between advective transport along rough-walled fractures and conductive transport, both within the fractures and in the surrounding low-permeability matrix. Flow localization…

Numerical modeling of hydraulic fracturing is complicated when a fracture reaches a stress barrier. For high barriers, it may require changing of a computational scheme. Despite there are examples of modeling propagation through barriers,…

Fluid Dynamics · Physics 2024-07-12 Aleksandr Linkov , Liliana Rybarska-Rusinek , Ewa Rejwer-Kosińska

In this study, we analyze the flow filtration process of slightly compressible fluids in fractured porous media. We model the coupled fractured porous media system, where the linear Darcy flow is considered in porous media and the nonlinear…

Analysis of PDEs · Mathematics 2022-05-30 Pushpi J. Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

In this work we present a model reduction procedure to derive a hybrid-dimensional framework for the mathematical modeling of reactive transport in fractured porous media. Fractures are essential pathways in the underground which allow fast…

Numerical Analysis · Mathematics 2020-01-16 Alessio Fumagalli , Anna Scotti

We investigate dynamic crack propagation and fragmentation with the phase-field fracture approach. The method was chosen for its ability to yield crack paths that are independent of the underlying mesh, thanks to the damage regularization…

Computational Physics · Physics 2025-12-23 Shad Durussel , Gergely Molnár , Jean-François Molinari

Complexity of fluid flow in a rough fracture is induced by the complex configurations of opening areas between the fracture planes. In this study, we model fluid flow in an evolvable real rock joint structure, which under certain normal…

Fluid Dynamics · Physics 2011-03-08 H. Ghaffari , A. Nabovati , M. Sharifzadeh , R. P. Young

Fracture growth in a material is strongly influenced by the presence of inhomogeneities, which deviate crack trajectories from rectilinearity and deeply affect failure. Increasing crack tortuosity is connected to enhancement of fracture…

Materials Science · Physics 2022-07-20 Riccardo Cavuoto , Pietro Lenarda , Diego Misseroni , Marco Paggi , Davide Bigoni

Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and…

Computational Engineering, Finance, and Science · Computer Science 2019-02-28 C. Peruzzo , D. T. Cao , E. Milanese , P. Favia , F. Pesavento , F. Hussain , B. A. Schrefler

Characterizing the fluid-driven fracture tip advancing process presents a significant challenge due to the difficulty of replicating real-world conditions in laboratory experiments and the lack of precise field measurements. However, recent…

Geophysics · Physics 2023-05-23 Yongzan Liu , Lin Liang , Smaine Zeroug

Upscaling unsaturated flow in fractured rock remains challenging because fractures and matrix often exhibit sharply contrasting hydraulic behaviors across saturation states. Here, we demonstrate that unsaturated flow undergoes a transition…

Geophysics · Physics 2026-04-02 Muhammad R. Andiva , Chuanyin Jiang , Martin Ziegler , Qinghua Lei

This paper investigates proppant flow and transport in intersected fractures at angles typical for intersections of pre-existing and new hydraulic fractures. Proppant is small granular material, which is placed into hydraulic fractures…

Fluid Dynamics · Physics 2020-09-22 Wenpei Ma , Justin Perng , Ingrid Tomac

Carbon dioxide (CO2) capture and subsurface storage is one method for reducing anthropogenic CO2 emissions to mitigate climate change. It is well known that large-scale fluid injection into the subsurface leads to a buildup in pressure that…

Fluid Dynamics · Physics 2019-08-21 Luke T. Jenkins , Martino Foschi , Christopher W. MacMinn

Flow-induced aggregation of colloidal particles leads to aggregates with fairly high fractal dimension () which are directly responsible for the observed rheological properties of sheared dispersions. We address the problem of the decrease…

Soft Condensed Matter · Physics 2009-06-05 A. Zaccone , M. Soos , M. Lattuada , M. U. Baebler , M. Morbidelli

In this work, we consider a mathematical model for flow in a unsaturated porous medium containing a fracture. In all subdomains (the fracture and the adjacent matrix blocks) the flow is governed by Richards' equation. The submodels are…

Numerical Analysis · Mathematics 2024-11-01 Florian List , Kundan Kumar , Iuliu Sorin Pop , Florin A. Radu

We propose inverse problems of crack propagation using the phase-field models. First, we study the crack propagation in an inhomogeneous media in which fracture toughness varies in space. Using the two phase-field models based on different…

Analysis of PDEs · Mathematics 2023-04-26 Yueyuan Gao , Natsuhiko Yoshinaga

The possible transport of fibers by fluid flow in fractures is investigated experimentally in transparent models using flexible polyester thread (mean diameter $280 \mu\mathrm{m}$) and Newtonian and shear thinning fluids. In the case of…

We investigate the dynamic fracture of a close-packed monolayer of particles, or particle raft, floating at a liquid-gas interface induced by the localised addition of surfactant. Unusually for a two-dimensional solid, our experiments show…

Soft Condensed Matter · Physics 2007-05-23 Dominic Vella , Ho-Young Kim , Pascale Aussillous , L. Mahadevan
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