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In disordered porous media, two-phase flow of immiscible fluids (biphasic flow) is organized in patterns that sometimes exhibit fractal geometries over a range of length scales, depending on the capillary, gravitational and viscous forces…

Conceptualizing a porous media as a network of conductors sets a compromise between the oversimplifying conceptualization of the media as a bundle of capillary tubes and the computationally expensive and unobtainable detailed description of…

流体动力学 · 物理学 2024-03-22 Ilan Ben-Noah , Juan J. Hidalgo , Marco Dentz

Understanding porous media properties and their scale dependence have been an active subject of research in the past several decades in hydrology, geosciences and petroleum engineering. The scale dependence of flow in porous media is…

地球物理 · 物理学 2021-01-22 Misagh Esmaeilpour , Behzad Ghanbarian , Feng Liang , Hui-Hai Liu

We present an experimental and numerical study of immiscible two-phase flow in 3-dimensional (3D) porous media to find the relationship between the volumetric flow rate ($Q$) and the total pressure difference ($\Delta P$) in the steady…

The present document corresponds to the 4 th chapter of my thesis, the problem setting is not definitive, what matters most here are the mathematical results and the methodology of the existence proofs. In this work, we propose a framework…

数值分析 · 数学 2024-11-15 Thomas Crozon

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

4D acoustic imaging via an array of 32 sources / 32 receivers is used to monitor hydraulic fracture propagating in a 250~mm cubic specimen under a true-triaxial state of stress. We present a method based on the arrivals of diffracted waves…

地球物理 · 物理学 2020-06-22 Dong Liu , Brice Lecampion , Thomas Blum

In this work we use a multi-scale framework to calculate the fluidization threshold of three-dimensional cohesive granulates under shear forces exerted by a creeping flow. A continuum model of flow through porous media provides an…

流体动力学 · 物理学 2013-07-30 Ilenia Battiato , Jürgen Vollmer

Data driven approaches have the potential to make modeling complex, nonlinear physical phenomena significantly more computationally tractable. For example, computational modeling of fracture is a core challenge where machine learning…

机器学习 · 计算机科学 2025-10-01 Erfan Hamdi , Emma Lejeune

In impermeable media, a hydraulic fracture can continue to expand even without additional fluid injection if its volume exceeds the limiting volume of a hydrostatically loaded radial fracture. This limit depends on the mechanical properties…

流体动力学 · 物理学 2023-10-06 Andreas Möri , Brice Lecampion

We present a novel experimental approach based on 3D printing and X-ray computed tomography to characterize fracture aperture distribution and evolution in 3D fracture networks under varying stress loading conditions. We validate our…

仪器与探测器 · 物理学 2025-08-12 A. Patsoukis Dimou , Q. Lei , N. Watanabe , A. Suzuki

Convective mixing in porous media is crucial in both geophysical and industrial fields, spanning applications ranging from carbon dioxide sequestration to contaminant transport in groundwater. Key processes are affected by convective heat…

流体动力学 · 物理学 2025-12-29 Marco De Paoli , Sergio Pirozzoli , Lou Kondic

We introduce a phenomenological continuum model for mode III dynamic fracture that is based on the phase-field methodology used extensively to model interfacial pattern formation. We couple a scalar field, which distinguishes between…

软凝聚态物质 · 物理学 2009-11-07 Alain Karma , David A. Kessler , Herbert Levine

Flow and transport in fractured geological media are strongly controlled by aperture heterogeneity and uncertainty in subsurface characterisation, yet most upscaling approaches rely on deterministic representations of fracture permeability.…

计算物理 · 物理学 2026-04-20 Sarah Perez , Florian Doster , Hannah Menke , Ahmed ElSheikh , Andreas Busch

We study average flow properties in porous media using a two-dimensional network simulator. It models the dynamics of two-phase immiscible bulk flow where film flow can be neglected. The boundary conditions are biperiodic which provide a…

软凝聚态物质 · 物理学 2007-05-23 Henning Arendt Knudsen , Alex Hansen

The flow of non-Newtonian fluids is ubiquitous in many applications in the geological and industrial context. We focus here on yield stress fluids (YSF), i.e. a material that requires minimal stress to flow. We study numerically the flow of…

流体动力学 · 物理学 2019-06-26 R. Kostenko , L. Talon

Discrete fracture models with reduced-dimensional treatment of conductive and blocking fractures are widely used to simulate fluid flow in fractured porous media. Among these, numerical methods based on interface models are intensively…

数值分析 · 数学 2024-05-14 Yong Liu , Ziyao Xu

In this work we examine the dispersion of conservative tracers (bromide and fluorescein) in an experimentally-constructed three-dimensional dual-porosity porous medium. The medium is highly heterogeneous ($\sigma_Y^2=5.7$), and consists of…

流体动力学 · 物理学 2018-03-14 Daniel Vogler , Sassan Ostvar , Rebecca Paustian , Brian Wood

Holistic understanding of multiphase reactive flow mechanisms such as CO$_2$ dissolution, multiphase displacement, and snap-off events are vital for optimisation of large-scale industrial operations like CO$_2$ sequestration, enhanced oil…

流体动力学 · 物理学 2021-03-08 Alexandros Patsoukis Dimou , Hannah P. Menke , Julien Maes

Fluid flow through bimodal porous media, characterized by a distinct separation in pore size distribution, is critical in various scientific and engineering applications, including groundwater management, oil and gas production, and carbon…

流体动力学 · 物理学 2024-09-06 Yuhe Wang , Yating Wang
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