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Drops on a free-flow/porous-medium-flow interface have a strong influence on the exchange of mass, momentum and energy between the two macroscopic flow regimes. Modeling droplet-related pore-scale processes in a macro-scale context is…

Computational Physics · Physics 2021-03-17 Sina Ackermann , Carina Bringedal , Rainer Helmig

Fluid flow through intricate confining geometries often exhibits complex behaviors, certainly in porous materials, e.g. in groundwater flows or the operation of filtration devices and porous catalysts. However, it has remained extremely…

Shear dilation based hydraulic stimulations enable exploitation of geothermal energy from reservoirs with inadequate initial permeability. While contributing to enhancing the reservoir's permeability, hydraulic stimulation processes may…

Geophysics · Physics 2018-08-01 Eren Ucar , Inga Berre , Eirik Keilegavlen

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…

Numerical Analysis · Mathematics 2022-01-24 Francesco Bonaldi , Jérôme Droniou , Roland Masson , Antoine Pasteau

We investigate the discretization of Darcy flow through fractured porous media on general meshes. We consider a hybrid dimensional model, invoking a complex network of planar fractures. The model accounts for matrix-fracture interactions…

Numerical Analysis · Mathematics 2015-09-08 K. Brenner , J. Hennicker , R. Masson , P. Samier

In this work, we present an uncertainty quantification analysis to determine the influence and importance of some physical parameters in a reactive transport model in fractured porous media. An accurate description of flow and transport in…

Numerical Analysis · Mathematics 2022-07-14 Michele Botti , Alessio Fumagalli , Anna Scotti

This paper introduces a new discrete fracture model accounting for non-isothermal compositional multiphase Darcy flows and complex networks of fractures with intersecting, immersed and non immersed fractures. The so called…

Numerical Analysis · Mathematics 2017-07-13 Feng Xing , Roland Masson , Simon Lopez

The two-phase oil-water flow in natural fractured reservoirs and its numerical methods are introduced in this paper, where the fracture is modeled by the dual porosity method. Efficient numerical method, including the finite difference…

Computational Engineering, Finance, and Science · Computer Science 2018-11-20 Lihua Shen , Tao Cui , Hui Liu , Zhouyuan Zhu , He Zhong , Zhangxin Chen , Bo Yang , Ruijian He , Huaqing Liu

In this work, we present numerical studies of fixed-stress iterative coupling for solving flow and geomechanics with propagating fractures in a porous medium. Specifically, fracture propagations are described by employing a phase-field…

Numerical Analysis · Mathematics 2017-09-07 Sanghyun Lee , Thomas Wick , Mary F. Wheeler

We use confocal microscopy to directly visualize the simultaneous flow of both a wetting and a non-wetting fluid through a model three-dimensional (3D) porous medium. We find that, for small flow rates, both fluids flow through unchanging,…

Soft Condensed Matter · Physics 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

We consider single-phase flow in a fractured porous medium governed by Darcy's law with spatially varying hydraulic conductivity matrices in both bulk and fractures. The width-to-length ratio of a fracture is of the order of a small…

Analysis of PDEs · Mathematics 2024-02-01 Maximilian Hörl , Christian Rohde

Traditional two level upscaling techniques suffer from a high offline cost when the coarse grid size is much larger than the fine grid size. Thus, multilevel methods are desirable for problems with complex heterogeneities and high contrast.…

Numerical Analysis · Mathematics 2018-10-04 Maria Vasilyeva , Eric T. Chung , Yalchin Efendiev , Aleksey Tyrylgin

In fractured poroelastic media under high differential stress, the shearing of fractures and faults and the corresponding propagation of wing cracks can be induced by fluid injection. Focusing on low-pressure stimulation with fluid…

Numerical Analysis · Mathematics 2023-05-01 Hau Trung Dang , Inga Berre , Eirik Keilegavlen

A Darcy-Cahn-Hilliard model coupled with damage is developed to describe multiphase-flow and fluid-driven fracturing in porous media. The model is motivated by recent experimental observations in Hele-Shaw cells of the fluid-driven…

Fluid Dynamics · Physics 2023-06-30 Alexandre Guével , Yue Meng , Christian Peco , Ruben Juanes , John E. Dolbow

Multiphase flow in porous media underpins subsurface energy and environmental technologies, including geological CO$_2$ storage and underground hydrogen storage, yet pore-scale dynamics in realistic three-dimensional materials remain…

During the hydraulically induced compaction of a granular layer fracture patterns arise. In numerical simulations we study how these patterns depend on the gas properties as well as on the properties of the porous medium. In particular the…

Soft Condensed Matter · Physics 2012-09-13 Michael Niebling , Renaud Toussaint , Eirik Grude Flekkøy , K. J. Måløy

Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

Channel formation and branching is widely seen in physical systems where movement of fluid through a porous structure causes the spatiotemporal evolution of the medium in response to the flow, in turn causing flow pathways to evolve. We…

Fluid-induced slip of fractures is characterized by strong multiphysics couplings. Three physical processes are considered: Flow, rock deformation and fracture deformation. The fractures are represented as lower-dimensional objects embedded…

Geophysics · Physics 2017-12-19 Runar L. Berge , Inga Berre , Eirik Keilegavlen

In this study, we develop computational models and methodology for accurate multi-component-flow simulation in under-resolved multi-scale porous structures. It is generally impractical to fully resolve the flow in porous structures with…