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相关论文: Simulation of Deformation and Flow in Fractured, P…

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Accurate simulation of fluid flow and transport in fractured porous media is a key challenge in subsurface reservoir engineering. Due to the high ratio between its length and width, fractures can be modeled as lower dimensional interfaces…

数值分析 · 数学 2018-03-12 Lars H. Odsæter , Trond Kvamsdal , Mats G. Larson

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

We consider a two-phase Darcy flow in a fractured porous medium consisting in a matrix flow coupled with a tangential flow in the fractures, described as a network of planar surfaces. This flow model is also coupled with the mechanical…

数值分析 · 数学 2021-07-15 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson

The present work deals with the numerical resolution of coupled 3D-2D problems arising from the simulation of fluid flow in fractured porous media modeled via the Discrete Fracture and Matrix (DFM) model. According to the DFM model,…

数值分析 · 数学 2024-01-18 Stefano Scialò

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

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

In this paper, we present a monolithic multigrid method for the efficient solution of flow problems in fractured porous media. Specifically, we consider a mixed-dimensional model which couples Darcy flow in the porous matrix with…

数值分析 · 数学 2018-11-08 Andrés Arrarás , Francisco J. Gaspar , Laura Portero , Carmen Rodrigo

We address the discretization of two-phase Darcy flows in a fractured and deformable porous medium, including frictional contact between the matrix-fracture interfaces. Fractures are described as a network of planar surfaces leading to the…

数值分析 · 数学 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau

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

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,…

This paper presents a model where thermo-hydro-mechanical processes are coupled to a deformation model for preexisting fractures. The model is formulated within a discrete-fracture-matrix framework where the rock matrix and the fractures…

数值分析 · 数学 2020-02-17 Ivar Stefansson , Inga Berre , Eirik Keilegavlen

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 work, we analyze the flow filtration process of slightly compressible fluids in porous media containing man made fractures with complex geometries. We model the coupled fracture-porous media system where the linear Darcy flow is…

偏微分方程分析 · 数学 2024-05-29 Pushpi Paranamana , Eugenio Aulisa , Akif Ibragimov , Magdalena Toda

Frictional instabilities in fluid saturated granular materials underlie natural hazards, including submarine landslides and earthquake initiation. Experiments show distinct failure behaviors under subaerial and subaqueous conditions due to…

软凝聚态物质 · 物理学 2025-12-25 Bimal Chhushyabaga , Behrooz Ferdowsi

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

In this paper, we present a multiscale method for simulations of the multicontinua unsaturated flow problems in heterogeneous fractured porous media. The mathematical model is described by the system of Richards equations for each continuum…

数值分析 · 数学 2019-08-02 Denis Spiridonov , Maria Vasilyeva , Eric T. Chung

We study single-phase flow in a fractured porous medium at a macroscopic scale that allows to model fractures individually. The flow is governed by Darcy's law in both fractures and porous matrix. We derive a new mixed-dimensional model,…

数值分析 · 数学 2023-08-08 Samuel Burbulla , Maximilian Hörl , Christian Rohde

In this paper, our aim is to present (1) an embedded fracture model (EFM) for coupled flow and mechanics problem based on the dual continuum approach on the fine grid and (2) an upscaled model for the resulting fine grid equations. The…

数值分析 · 数学 2018-11-14 Maria Vasilyeva , Eric T. Chung , Yalchin Efendiev , Jihoon Kim

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…

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…

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