A model for multiphase flow and transport in porous media including a phenomenological approach to account for deformation—a model concept and its validation within a code intercomparison study

Freiboth, Sandra; Class, Holger; Helmig, Rainer; Graf, Thomas; Ehlers, Wolfgang; Schwarz, Viktoria; Vrettos, Christos

doi:10.1007/s10596-008-9118-6

Cited by 8 publications

(4 citation statements)

References 24 publications

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“…In the biphasic theory, the system is divided into an incompressible polymer phase and an incompressible fluid phase that is in contact with a fluid reservoir [37] phase (or multiphase) mixture models that include a polymer phase, a solvent phase, and one or several ionic phases, formed by the mobile ions [38][39][40][41]. A multiphase approach, based on been developed by Freiboth et al [42].…”

Section: Lement and Phase Field Methodsmentioning

confidence: 99%

Simulation of Stimuli-Responsive Polymer Networks

Gruhn

Emmerich

2013

Chemosensors

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The structure and material properties of polymer networks can depend sensitively on changes in the environment. There is a great deal of progress in the development of stimuli-responsive hydrogels for applications like sensors, self-repairing materials or actuators. Biocompatible, smart hydrogels can be used for applications, such as controlled drug delivery and release, or for artificial muscles. Numerical studies have been performed on different length scales and levels of details. Macroscopic theories that describe the network systems with the help of continuous fields are suited to study effects like the stimuli-induced deformation of hydrogels on large scales. In this article, we discuss various macroscopic approaches and describe, in more detail, our phase field model, which allows the calculation of the hydrogel dynamics with the help of a free energy that considers physical and chemical impacts. On a mesoscopic level, polymer systems can be modeled with the help of the self-consistent field theory, which includes the interactions, connectivity, and the entropy of the polymer chains, and does not depend on constitutive equations. We present our recent extension of the method that allows the study of the formation of nano domains in reversibly crosslinked block copolymer networks. Molecular simulations of polymer networks allow the investigation of the behavior of specific systems on a microscopic scale. As an example for microscopic modeling of stimuli sensitive polymer networks, we present our Monte Carlo simulations of a filament network system with crosslinkers

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Section: Lement and Phase Field Methodsmentioning

confidence: 99%

Simulation of Stimuli-Responsive Polymer Networks

Gruhn

Emmerich

2013

Chemosensors

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“…Numerical methods for the THM modelling have been advanced in the past few decades, especially in the application for geothermal energy exploitation and waste disposal [8]. Conventional methods for THM modelling are mainly based on continuum theory with focus of damage or smeared crack model [9].…”

Section: Introductionmentioning

confidence: 99%

The Fracture Influence on the Energy Loss of Compressed Air Energy Storage in Hard Rock

Zhu

Chen

Cai

et al. 2015

Mathematical Problems in Engineering

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A coupled nonisothermal gas flow and geomechanical numerical modeling is conducted to study the influence of fractures (joints) on the complex thermohydromechanical (THM) performance of underground compressed air energy storage (CAES) in hard rock caverns. The air-filled chamber is modeled as porous media with high porosity, high permeability, and high thermal conductivity. The present analysis focuses on the CAES in hard rock caverns at relatively shallow depth, that is, ≤100 m, and the pressure in carven is significantly higher than ambient pore pressure. The influence of one discrete crack and multiple crackson energy loss analysis of cavern in hard rock media are carried out. Two conditions are considered during each storage and release cycle, namely, gas injection and production mass being equal and additional gas injection supplemented after each cycle. The influence of the crack location, the crack length, and the crack open width on the energy loss is studied.

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“…Priesack and Durner (2006) stated that the usefulness of the multimodal representation of retention functions is increased by providing an analytical expression to directly calculate the hydraulic conductivity of soils with heterogeneous pore systems. Freiboth et al (2007Freiboth et al ( , 2009) developed a non-isothermal multiphase multicomponent flow and transport model. The model accounts for the effects of swelling and shrinking of the media on the flow and transport, by adopting the hydraulic properties using constitutive relationships.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional meshfree modelling of contaminant transport through saturated porous media using RPIM

Kumar

Dodagoudar

2009

Environ Earth Sci

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This paper presents a new numerical tool to model the two-dimensional contaminant transport through saturated porous media using a meshfree method, called radial point interpolation method (RPIM) with polynomial reproduction. In RPIM, an approximate solution is constructed entirely in terms of a set of nodes and no characterisation of the interrelationship of the nodes is needed. The advection-dispersion equation with sorption is considered to illustrate the applicability of the RPIM. The Galerkin weak form of the governing equation is formulated using 2D meshfree shape functions constructed using thin plate spline radial basis functions. MATLAB code is developed to obtain the numerical solution. Three numerical examples are presented and the results are compared with those obtained from the finite element method and analytical solutions. In order to test the practical applicability and performance of the RPIM, two case studies of contaminant transport through landfill liners are presented. A good agreement is obtained between the results of the RPIM and the field investigation data.

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A model for multiphase flow and transport in porous media including a phenomenological approach to account for deformation—a model concept and its validation within a code intercomparison study

Cited by 8 publications

References 24 publications

Simulation of Stimuli-Responsive Polymer Networks

Simulation of Stimuli-Responsive Polymer Networks

The Fracture Influence on the Energy Loss of Compressed Air Energy Storage in Hard Rock

Two-dimensional meshfree modelling of contaminant transport through saturated porous media using RPIM

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