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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

In this paper we demonstrate the influence of the pore pressure to the development of a hydraulically-driven fracture in a poroelastic medium. We present a novel numerical model for propagation of a planar hydraulic fracture and prove its…

流体动力学 · 物理学 2016-08-30 Sergey V. Golovin , Alexey N. Baykin

Numerous field experiments suggest that the self-potential (SP) geophysical method may allow for the detection of hydraulically active fractures and provide information about fracture properties. However, a lack of suitable numerical tools…

地球物理 · 物理学 2016-05-26 D. Roubinet , N. Linde , D. Jougnot , J. Irving

Reactive flows inside porous media play an important role in a number of geophysical and industrial processes. Here we present three-dimensional experimental measurements on how precipitation and flow patterns change with the flow rate…

软凝聚态物质 · 物理学 2019-11-27 R. Moosavi , A. Kumar , A. De Wit , M. Schröter

Transport properties of three-dimensional self-affine rough fractures are studied by means of an effective-medium analysis and numerical simulations using the Lattice-Boltzmann method. The numerical results show that the effective-medium…

统计力学 · 物理学 2007-05-23 German Drazer , Joel Koplik

Modeling coupled processes in fractured porous media -- flow, deformation, fracture mechanics, and thermal/chemical effects -- often relies on mixed dimensional multiphysics formulations. These systems are nonlinear and depend on physical…

地球物理 · 物理学 2026-03-03 Jakub Wiktor Both , Inga Berre

The study of flow of non-Newtonian fluids in porous media is very important and serves a wide variety of practical applications in processes such as enhanced oil recovery from underground reservoirs, filtration of polymer solutions and soil…

流体动力学 · 物理学 2010-12-20 Taha Sochi

Two-fluid interfaces in porous media, an example of driven disordered systems, were studied by a real time three-dimensional imaging technique with pore scale resolution for a less viscous fluid displacing a more viscous one. With…

软凝聚态物质 · 物理学 2011-03-23 Prerna Sharma , P. Aswathi , Anit Sane , Shankar Ghosh , S. Bhattacharya

In this paper, we develop a multiscale finite element method for solving flows in fractured media. Our approach is based on Generalized Multiscale Finite Element Method (GMsFEM), where we represent the fracture effects on a coarse grid via…

数值分析 · 数学 2015-02-16 Yalchin Efendiev , Seong Lee , Guanglian Li , Jun Yao , Na Zhang

In this work, we present a numerical method that provides accurate real-time detection for the widths of the fractures in a fractured porous medium based on observational data on porous medium fluid mass and velocity. To achieve this task,…

数值分析 · 数学 2025-02-25 Phuoc Toan Huynh , Feng Bao , Thi-Thao-Phuong Hoang

In porous media, there are three known regimes of fluid flows, namely, pre-Darcy, Darcy and post-Darcy. Because of their different natures, these are usually treated separately in literature. To study complex flows when all three regimes…

偏微分方程分析 · 数学 2017-04-05 Emine Celik , Luan Hoang , Akif Ibragimov , Thinh Kieu

Fracture is a very challenging and complicated problem with various applications in engineering and physics. Although it has been extensively studied within the context of mesh-based numerical techniques, such as the finite element method…

数值分析 · 数学 2022-06-28 Mohammad Naqib Rahimi , Georgios Moutsanidis

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…

Fractured porous media or double porosity media are common in nature. At the same time, accurate modeling remains a significant challenge due to bi-modal pore size distribution, anisotropy, multi-field coupling, and various flow patterns.…

地球物理 · 物理学 2024-06-13 Qi Zhang , Xia Yan , Jianli Shao

We use the Multi Level Monte Carlo method to estimate uncertainties in a Henry-like salt water intrusion problem with a fracture. The flow is induced by the variation of the density of the fluid phase, which depends on the mass fraction of…

数值分析 · 数学 2025-01-17 Dmitry Logashenko , Alexander Litvinenko , Raul Tempone , Gabriel Wittum

Analytical solutions and a vast majority of numerical ones for fracture propagation in saturated porous media yield smooth behavior while experiments, field observations and a few numerical solutions reveal stepwise crack advancement and…

计算工程、金融与科学 · 计算机科学 2019-02-28 C. Peruzzo , D. T. Cao , E. Milanese , P. Favia , F. Pesavento , F. Hussain , B. A. Schrefler

A range of phenomena in the subsurface is characterised by the interplay between coupled thermal, hydraulic and mechanical processes and deforming structures such as fractures. Modelling subsurface dynamics can provide valuable…

数值分析 · 数学 2021-09-22 Ivar Stefansson , Inga Berre , Eirik Keilegavlen

We present an experimental study of immiscible, two-phase fluid flow through a three-dimensional porous medium consisting of randomly-packed, monodisperse glass spheres. Our experiments combine refractive-index matching and laser-induced…

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

This paper addresses the modeling of fracture in quasi-brittle materials using a phase-field approach to the description of crack topology. Within the computational mechanics community, several studies have treated the issue of modeling…

计算工程、金融与科学 · 计算机科学 2019-03-01 Jacinto Ulloa , Patricio Rodríguez , Cristóbal Samaniego , Esteban Samaniego