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A new discretization approach is presented for the simulation of flow in complex poro-fractured media described by means of the Discrete Fracture and Matrix Model. The method is based on the numerical optimization of a properly defined…

数值分析 · 数学 2020-04-10 Stefano Berrone , Alessandro D'Auria , Stefano Scialo'

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.…

数值分析 · 数学 2021-02-01 Ziyao Xu , Yang Yang

Discrete Fracture and Matrix (DFM) models describe fractured porous media as complex sets of 2D planar polygons embedded in a 3D matrix representing the surrounding porous medium. The numerical simulation of the flow in a DFM requires the…

数值分析 · 数学 2020-01-31 M. F. Benedetto , A. Borio , F. Kyburg , J. Mollica , S. Scialo

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…

计算工程、金融与科学 · 计算机科学 2022-07-27 Jeffrey D. Hyman , Matthew R. Sweeney , Carl W. Gable , Daniil Svyatsky , Konstantin Lipnikov , J. David Moulton

The box method discrete fracture model (Box-DFM) is an important finite volume-based discrete fracture model (DFM) to simulate flows in fractured porous media. In this paper, we investigate a simple but effective extension of the box method…

数值分析 · 数学 2024-04-30 Ziyao Xu , Dennis Gläser

Fluid injection and production cause changes in reservoir pressure, which result in deformations in the subsurface. This phenomenon is particularly important in reservoirs with abundant fractures and faults because the induced slip and…

计算工程、金融与科学 · 计算机科学 2020-08-19 I. Shovkun , T. Garipov , H. A. Tchelepi

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,…

数值分析 · 数学 2016-08-15 Katja K. Hanowski , Oliver Sander

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

Models that involve coupled dynamics in a mixed-dimensional geometry are of increasing interest in several applications. Here, we describe the development of a simulation model for flow in fractured porous media, where the fractures and…

计算工程、金融与科学 · 计算机科学 2017-12-21 Eirik Keilegavlen , Alessio Fumagalli , Runar Berge , Ivar Stefansson

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

Numerical simulations of flow and transport in porous media usually rely on hybrid-dimensional models, i.e., the fracture is considered as objects of a lower dimension compared to the embedding matrix. Such models are usually combined with…

数值分析 · 数学 2020-11-18 Maria Giuseppina Chiara Nestola , Marco Favino

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…

数值分析 · 数学 2021-04-07 Matteo Cusini , Joshua A. White , Nicola Castelletto , Randolph R. Settgast

This paper is concerned with the numerical solution of compressible fluid flow in a fractured porous medium. The fracture represents a fast pathway (i.e., with high permeability) and is modeled as a hypersurface embedded in the porous…

数值分析 · 数学 2022-02-15 Phuoc-Toan Huynh , Yanzhao Cao , Thi-Thao-Phuong Hoang

This paper presents several test cases intended to be benchmarks for numerical schemes for single-phase fluid flow in fractured porous media. A number of solution strategies are compared, including a vertex and a cell-centered finite volume…

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 complete numerical analysis for a general discretization of a coupled flow-mechanics model in fractured porous media, considering single-phase flows and including frictionless contact at matrix-fracture interfaces, as well as…

数值分析 · 数学 2024-06-14 Francesco Bonaldi , Jérôme Droniou , Roland Masson

In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition procedure, we…

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

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…

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…

数值分析 · 数学 2017-07-18 Wietse M. Boon , Jan M. Nordbotten , Ivan Yotov
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