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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…

数值分析 · 数学 2018-11-14 Alessio Fumagalli , Eirik Keilegavlen , Stefano Scialò

Fractures form the main pathways for flow in the subsurface within low-permeability rock. For this reason, accurately predicting flow and transport in fractured systems is vital for improving the performance of subsurface applications.…

计算物理 · 物理学 2018-03-14 S. Karra , D. O'Malley , J. D. Hyman , H. S. Viswanathan , G. Srinivasan

In a porous medium featuring heterogeneous permeabilities, a wide range of fluid velocities may be recorded, so that significant inertial and frictional effects may arise in high-speed regions. In such parts, the link between pressure…

数值分析 · 数学 2024-08-02 Chiara Giovannini , Alessio Fumagalli , Francesco Patacchini

Fluid flow in rough fractures and the coupling with the mechanical behaviour of the fractures pose great difficulties for numerical modeling approaches, due to complex fracture surface topographies, the non-linearity of hydromechanical…

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…

数值分析 · 数学 2020-01-16 Alessio Fumagalli , Anna Scotti

An adaptive model for the description of flows in highly heterogeneous porous media is developed in~\cite{FP21,FP23}. There, depending on the magnitude of the fluid's velocity, the constitutive law linking velocity and pressure gradient is…

数值分析 · 数学 2024-05-06 Alessio Fumagalli , Francesco S. Patacchini

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…

数值分析 · 数学 2024-03-13 Jan Stebel , Jakub Kružík , David Horák , Jan Březina , Michal Béreš

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…

偏微分方程分析 · 数学 2022-05-30 Pushpi J. Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

We present a new model for two phase Darcy flows in fractured media, in which fractures are modelled as submanifolds of codimension one with respect to the surrounding domain (matrix). Fractures can act as drains or as barriers, since…

数值分析 · 数学 2016-12-26 Jerome Droniou , Julian Hennicker , Roland Masson

Simulating the flow of two fluid phases in porous media is a challenging task, especially when fractures are included in the simulation. Fractures may have highly heterogeneous properties compared to the surrounding rock matrix,…

Mathematical modeling of fluid flow in a porous medium is usually described by a continuity equation and a chosen constitutive law. The latter, depending on the problem at hand, may be a nonlinear relation between the fluid's pressure…

数值分析 · 数学 2023-01-04 Alessio Fumagalli , Francesco Saverio Patacchini

Discrete fracture networks is a key ingredient in the simulation of physical processes which involve fluid flow in the underground, when the surrounding rock matrix is considered impervious. In this paper we present two different models to…

数值分析 · 数学 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

A new numerical scheme is proposed for flow computation in complex discrete fracture networks. The method is based on a three-field formulation of the Darcy law for the description of the hydraulic head on the fractures and uses a cost…

数值分析 · 数学 2019-12-23 Stefano Berrone , Denise Grappein , Sandra Pieraccini , Stefano Scialo

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.…

数值分析 · 数学 2019-08-01 Alessio Fumagalli , Eirik Keilegavlen

The distribution of fracture network is crucial to characterize the behaviors of flow field and solute transport, especially for enhanced geothermal systems, as fractures provide preferential flow paths. However, estimating the parameters…

地球物理 · 物理学 2023-02-08 Guodong Chen , Xin Luo , Jiu Jimmy Jiao , Chuanyin Jiang

Through this research, embedded synthetic fracture networks in rock masses are studied. To analysis the fluid flow complexity in fracture networks with respect to the variation of connectivity patterns, two different approaches are…

计算工程、金融与科学 · 计算机科学 2012-02-23 H. O. Ghaffari , M. H. B. Nasseri , R. P. Young

We consider a model for flow in a porous medium with a fracture in which the flow in the fracture is governed by the Darcy-Forchheimer law while that in the surrounding matrix is governed by Darcy's law. We give an appropriate mixed,…

数值分析 · 计算机科学 2019-02-20 Peter Knabner , Jean Roberts

The study of flow in fractured porous media is a key ingredient for many geoscience applications, such as reservoir management and geothermal energy production. Modelling and simulation of these highly heterogeneous and geometrically…

数值分析 · 数学 2022-12-28 Davide Losapio , Anna Scotti

The aim of this study is to compare numerical methods for the simulation of single-phase flow and transport in fractured media, described here by means of the Discrete Fracture Network (DFN) model. A Darcy problem is solved to compute the…

数值分析 · 数学 2019-07-30 Andrea Borio , Alessio Fumagalli , Stefano Scialò

The last decade has seen a strong increase of research into flows in fractured porous media, mainly related to subsurface processes, but also in materials science and biological applications. Connected fractures totally dominate…

地球物理 · 物理学 2018-05-16 Inga Berre , Florian Doster , Eirik Keilegavlen
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