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The discrete fracture model (DFM) has been widely used in the simulation of fluid flow in fractured porous media. Traditional DFM uses the so-called hybrid-dimensional approach to treat fractures explicitly as low-dimensional entries (e.g.…

Numerical Analysis · Mathematics 2021-02-01 Ziyao Xu , Yang Yang

The accurate description of fluid flow and transport in fractured porous media is of paramount importance to capture the macroscopic behaviour of an oil reservoir, a geothermal system, or a CO2 sequestration site, to name few applications.…

Numerical Analysis · Mathematics 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

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

Improving hydrocarbon production with hydraulic fracturing from unconventional reservoirs requires investigating transport phenomena at the single fracture level. In this study, we simulated geomechanical deformation, fluid flow, and…

Fluid Dynamics · Physics 2026-01-21 Morteza Heydari , Feng Liang , Hui-Hai Liu , Behzad Ghanbarian

Understanding crack propagation in structures subjected to fluid loads is crucial in various engineering applications, ranging from underwater pipelines to aircraft components. This study investigates the dynamic response of structures,…

Computational Engineering, Finance, and Science · Computer Science 2023-10-06 Md Rushdie Ibne Islam

In fractured natural formations, the equations governing fluid flow and geomechanics are strongly coupled. Hydrodynamical properties depend on the mechanical configuration, and they are therefore difficult to accurately resolve using…

Numerical Analysis · Mathematics 2021-04-07 Matteo Cusini , Joshua A. White , Nicola Castelletto , Randolph R. Settgast

Understanding the controlling mechanisms underlying injection-induced seismicity is important for optimizing reservoir productivity and addressing seismicity-related concerns related to hydraulic stimulation in Enhanced Geothermal Systems.…

Geophysics · Physics 2017-11-15 Eren Ucar , Inga Berre , Eirik Keilegavlen

We introduce a coupled system of PDEs for the modeling of the fluid-fluid and fluid-solid interaction in a poroelastic material with a single static fracture. The fluid flow in the fracture is modeled by a lower-dimensional Darcy equation,…

Numerical Analysis · Mathematics 2016-08-15 Katja K. Hanowski , Oliver Sander

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

We present a hybrid framework to support prognostics of the clogging degradation phenomenon in tube support plates for digital twins of steam generators in pressurized water reactors. The proposed approach combines a physics-based…

We consider a two-phase Darcy flow in a fractured and deformable porous medium for which the fractures are described as a network of planar surfaces leading to so-called hybrid-dimensional models. The fractures are assumed open and filled…

Numerical Analysis · Mathematics 2021-08-17 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson , Antoine Pasteau , Laurent Trenty

Simulations of fluid flow in naturally fractured rocks have implications for several subsurface applications, including energy storage and extraction, and waste storage. We are interested in flow in discrete fracture networks, which…

Numerical Analysis · Mathematics 2018-11-14 Alessio Fumagalli , Eirik Keilegavlen , Stefano Scialò

Fractures are ubiquitous in the subsurface and strongly affect flow and deformation. The physical shape of the fractures, they are long and thin objects, puts strong limitations on how the effect of this dynamics can be incorporated into…

Computational Engineering, Finance, and Science · Computer Science 2017-12-22 Eirik Keilegavlen , Alessio Fumagalli , Runar Berge , Ivar Stefansson , Inga Berre

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

We present a comprehensive workflow to simulate single-phase flow and transport in fractured porous media using the discrete fracture matrix approach. The workflow has three primary parts: (1) a method for conforming mesh generation of and…

Computational Engineering, Finance, and Science · Computer Science 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

Fracture propagation is highly sensitive to the conditions at the crack tip. In heterogeneous materials, microscale obstacles can cause propagation instabilities. Macroscopic heterogeneities modify the stress field over scales larger than…

Fluid Dynamics · Physics 2024-07-16 Sri Savya Tanikella , Marie C Sigallon , Emilie Dressaire

Propagation of a fluid-driven crack in an impermeable linear elastic medium under axis-symmetric conditions is investigated in the present work. The fluid exerting the pressure inside the crack is an incompressible Newtonian one and its…

Numerical Analysis · Mathematics 2020-11-13 Francesca Fantoni , Alberto Salvadori

A novel hydraulic fracture (HF) formulation is introduced which accounts for the hydraulically induced shear stress at the crack faces. It utilizes a general form of the elasticity operator alongside a revised fracture propagation condition…

Geophysics · Physics 2016-12-13 Michal Wrobel , Gennady Mishuris , Andrea Piccolroaz

Displacement flows are common in hydraulic fracturing, as fracking fluids of different composition are injected sequentially in the fracture. The injection of an immiscible fluid at the center of a liquid-filled fracture results in the…

Fluid Dynamics · Physics 2024-07-16 Sri Savya Tanikella , Emilie Dressaire

Fracture coalescence is a critical phenomenon for creating large fractures from smaller flaws, affecting fracture network flow and seismic energy release potential. In this paper, simulations of fracture coalescence processes in granite…