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In order to analyze numerically inverse problems several techniques based on linear and nonlinear stability analysis are presented. These techniques are illustrated on the problem of estimating mobilities and capillary pressure in…

数值分析 · 计算机科学 2014-02-12 Jianfeng Zhang , Guy Chavent , Jérôme Jaffré

This paper reviews recent research results in two-phase flow in porous media obtained by the authors.

流体动力学 · 物理学 2016-09-08 Eyvind Aker , Alex Hansen , Knut Jorgen Maloy

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,…

软凝聚态物质 · 物理学 2014-06-30 Sujit S. Datta , Jean-Baptiste Dupin , David A. Weitz

A physics-informed convolutional neural network is proposed to simulate two phase flow in porous media with time-varying well controls. While most of PICNNs in existing literatures worked on parameter-to-state mapping, our proposed network…

机器学习 · 计算机科学 2024-10-24 Jungang Chen , Eduardo Gildin , John E. Killough

An outstanding characteristic of porous media, desired in many applications, is the large surface area, which facilitates solid-fluid interactions, making porous media an extreme case in colloid and interface science. In two-fluid systems,…

流体动力学 · 物理学 2025-10-23 Steffen Berg , Ryan T. Armstrong , Maja Rücker , Alex Hansen , Signe Kjelstrup , Dick Bedeaux

The established macroscopic equations of motion for two phase immiscible displacement in porous media are known to be physically incomplete because they do not contain the surface tension and surface areas governing capillary phenomena.…

材料科学 · 物理学 2009-10-31 R. Hilfer

We study a one dimensional model for two-phase flows in heterogeneous media, in which the capillary pressure functions can be discontinuous with respect to space. We first give a model, leading to a system of degenerated non-linear…

偏微分方程分析 · 数学 2009-09-08 Clément Cancès

We investigate the burst dynamics during drainage going from low to high injection rate at various fluid viscosities. The bursts are identified as pressure drops in the pressure signal across the system. We find that the statistical…

软凝聚态物质 · 物理学 2009-10-31 Eyvind Aker , Knut Jorgen Maloy , Alex Hansen , Soumen Basak

In this study, we investigate the appeared complexity of two-phase flow (air/water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the timedependent gas pressure. After obtaining of governing…

计算工程、金融与科学 · 计算机科学 2010-09-01 Hamed O. Ghaffari

An existing phase-field model of two immiscible fluids with a single soluble surfactant present is discussed in detail. We analyze the well-posedness of the model and provide strong evidence that it is mathematically ill-posed for a large…

数值分析 · 数学 2013-03-20 Stefan Engblom , Minh Do-Quang , Gustav Amberg , Anna-Karin Tornberg

In this study, we investigate the appeared complexity of two-phase flow (air-water) in a heterogeneous soil where the supposed porous media is non-deformable media which is under the time-dependent gas pressure. After obtaining of governing…

计算工程、金融与科学 · 计算机科学 2010-05-20 Hamed . O. Ghaffari

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,…

A recent experiment has considered the effective permeability of two-phase flow of air and a water-glycerol solution under steady-state conditions in a two-dimensional model porous medium, and found a power law dependence with respect to…

流体动力学 · 物理学 2012-05-09 Morten Grøva

We investigate two-phase flow in porous media and derive a two-scale model, which incorporates pore-scale phase distribution and surface tension into the effective behavior at the larger Darcy scale. The free-boundary problem at the pore…

偏微分方程分析 · 数学 2023-07-03 Mathis Kelm , Carina Bringedal , Bernd Flemisch

During evaporation in porous media, two types of corner films are distinguished. A continuous corner film is connected to the bulk liquid, while a discontinuous one is not. To disclose their effects on evaporation in porous media, a pore…

流体动力学 · 物理学 2021-02-03 Rui Wu , Tao Zhang , Chao Ye , C. Y. Zhao , Evangelos Tsotsas , Abdolreza Kharaghani

Flow through porous, elastically deforming media is present in a variety of natural contexts ranging from large-scale geophysics to cellular biology. In the case of incompressible constituents, the porefluid pressure acts as a Lagrange…

流体动力学 · 物理学 2022-06-30 Nicholas J. Derr , Chris H. Rycroft

In this paper we study a model of an interface between two fluids in a porous medium. For this model we prove several local and global well-posedness results and study some of its qualitative properties. We also provide numerics.

偏微分方程分析 · 数学 2015-06-22 Rafael Granero-Belinchón , Gustavo Navarro , Alejandro Ortega

The filtration of fluid in 2D porous medium is simulated by the molecular dynamics technique. The high concentration of fluid is created at the initial point in time and the number of fluid particles is investigated in all porous. The…

流体动力学 · 物理学 2007-05-23 Marat N. Ovchinnikov

Characterizing the dynamics of a cantilever in channel flow is relevant to applications ranging from snoring to energy harvesting. Aeroelastic flutter induces large oscillating amplitudes and sharp changes with frequency that impact the…

流体动力学 · 物理学 2019-03-11 Luis Phillipe Tosi , Tim Colonius

Film flow through networks of corners and capillary bridges can establish connections between seemingly isolated clusters during drainage in porous media. Coupled with drainage through the bulk of pores and throats, the flow through these…