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We performed a set of numerical simulations to characterize the interplay of fracture network topology, upscaling, and mesh refinement on flow and transport properties in fractured porous media. We generated a set of generic…

Computational Engineering, Finance, and Science · Computer Science 2023-02-23 Aleksandra A. Pachalieva , Matthew R. Sweeney , Hari Viswanathan , Emily Stein , Rosie Leone , Jeffrey D. Hyman

This paper deals with the efficient numerical solution of single-phase flow problems in fractured porous media. A monolithic multigrid method is proposed for solving two-dimensional arbitrary fracture networks with vertical and/or…

Numerical Analysis · Mathematics 2018-11-06 Andrés Arrarás , Francisco J. Gaspar , Laura Portero , Carmen Rodrigo

The effect of heterogeneities induced by highly permeable fracture networks on viscous miscible fingering in porous media is examined using high-resolution numerical simulations. We consider the planar injection of a less viscous fluid into…

Fluid Dynamics · Physics 2023-09-12 Runar Lie Berge , Inga Berre , Eirik Keilegavlen , Jan Martin Nordbotten

We use confocal microscopy to directly visualize the spatial fluctuations in fluid flow through a three-dimensional porous medium. We find that the velocity magnitudes and the velocity components both along and transverse to the imposed…

Soft Condensed Matter · Physics 2013-08-07 Sujit S. Datta , Harry Chiang , T. S. Ramakrishnan , David A. Weitz

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…

Computational Physics · Physics 2020-03-17 Cyrill von Planta , Daniel Vogler , Xiaoqing Chen , Maria G. C. Nestola , Martin O. Saar , Rolf Krause

When modelling fluid flow in fractured reservoirs, it is common to represent the fracturesas lower-dimensional inclusions embedded in the host medium. Existing discretizationsof flow in porous media with thin inclusions assume that the…

Numerical Analysis · Mathematics 2021-01-22 Michele Starnoni , Inga Berre , Eirik Keilegavlen , Jan M. Nordbotten

We study the flow generated by an incompressible viscoelastic fluid in a fractured porous medium. The model consists of a fluid flow governed by Stokes-Volterra equations evolving in a periodic double-porosity medium. Using the multiscale…

Analysis of PDEs · Mathematics 2014-07-30 Jean Louis Woukeng

The flow of incompressible fluids through porous media plays a crucial role in many technological applications such as enhanced oil recovery and geological carbon-dioxide sequestration. The flow within numerous natural and synthetic porous…

Computational Engineering, Finance, and Science · Computer Science 2018-05-23 S. H. S. Joodat , K. B. Nakshatrala , R. Ballarini

We present a mixed dimensional model for a fractured poro-elasic medium including contact mechanics. The fracture is a lower dimensional surface embedded in a bulk poro-elastic matrix. The flow equation on the fracture is a Darcy type model…

Analysis of PDEs · Mathematics 2023-08-09 Maarten V. de Hoop , Kundan Kumar

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…

Numerical Analysis · Mathematics 2021-07-15 Francesco Bonaldi , Konstantin Brenner , Jérôme Droniou , Roland Masson

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…

Numerical Analysis · Mathematics 2019-07-30 Andrea Borio , Alessio Fumagalli , Stefano Scialò

Modeling effective transport properties of 3D porous media, such as permeability, at multiple scales is challenging as a result of the combined complexity of the pore structures and fluid physics - in particular, confinement effects which…

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

In this work we are interested in dealing with single-phase flows in fractured porous media for underground processes. We focus our attention on domains where the presence of faults, with thickness several orders of magnitude smaller than…

Numerical Analysis · Mathematics 2019-08-01 Alessio Fumagalli , Isabelle Faille

A mathematical model for computation of the fluid pressure in a reservoir drained by a horizontal multiple fractured well is proposed. The model is applicable for an arbitrary network of fractures with different finite conductivities of…

Fluid Dynamics · Physics 2016-02-15 S. V. Golovin , K. A. Gadylshina

We propose a workflow based on physics-informed neural networks (PINNs) to model multiphase fluid flow in fractured porous media. After validating the workflow in forward and inverse modeling of a synthetic problem of flow in fractured…

Computational Engineering, Finance, and Science · Computer Science 2024-10-31 Jassem Abbasi , Ben Moseley , Takeshi Kurotori , Ameya D. Jagtap , Anthony R. Kovscek , Aksel Hiorth , Pål Østebø Andersen

This study presents a phase field model for brittle fracture in fluid-infiltrating vuggy porous media. While the state-of-the-art in hydraulic phase field fracture considers Darcian fracture flow with enhanced permeability along the crack,…

Fluid Dynamics · Physics 2020-08-28 Hyoung Suk Suh , WaiChing Sun

In this article we formulate and implement a computational multiphase periporomechanics model for unguided fracturing in unsaturated porous media. The same governing equation for the solid phase applies on and off cracks. Crack formation in…

Numerical Analysis · Mathematics 2022-03-29 Shashank Menon , Xiaoyu Song

Dissolution in porous media and fractured rocks alters both the chemical composition of the fluid and the physical properties of the solid. Depending on system conditions, reactive flow may enlarge pores uniformly, widen pre-existing…

Geophysics · Physics 2026-03-30 Tomasz Szawełło , Jeffrey D. Hyman , Peter K. Kang , Piotr Szymczak

This paper proposes a phase field model for fracture in poroelastic media. The porous medium is modeled based on the classical Biot poroelasticity theory and the fracture behavior is controlled by the phase field model. Moreover, the…

Geophysics · Physics 2019-02-27 Shuwei Zhou , Xiaoying Zhuang , Timon Rabczuk