Multiscale Analysis Of Transport In Porous Media
DOWNLOAD
Download Multiscale Analysis Of Transport In Porous Media PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Multiscale Analysis Of Transport In Porous Media book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Multiscale Analysis Of Transport In Porous Media
DOWNLOAD
Author : Khac Long Nguyen
language : en
Publisher:
Release Date : 2019
Multiscale Analysis Of Transport In Porous Media written by Khac Long Nguyen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
The correlation of the structural parameters with the transfer properties of a fluid through a porous media is a significant subject in physics, chemistry, geology, and engineering. The architectural parameters such as porosity and pore size distribution do not describe the complexity of most porous organizations consisting of labyrinths of interconnected pores with random shapes and cross-sections. This complexity is described by a parameter called tortuosity. The apparent total and particle tortuosities are determined by electrical measurements or the analysis of the peak shape of chromatographic probes. In the latter case, the particle tortuosity of silica is calculated from effective intraparticle diffusion coefficient determined by modelling the chromatographic peak broadening of polystyrenes obtained either in dynamic or in static conditions under non-adsorbing conditions by using the solvent tetrahydrofuran (THF). In dynamic conditions, the constant term in the van Deemter equation is a combined contribution of eddy diffusion and polydispersity of the polystyrenes and depends on the size of the molecule. The broad pore size distribution of totally porous silica contributes also to the spreading of the peak. The transport of polystyrenes through silica columns has also been studied in adsorbing conditions by changing the solvent. With the mixture of n-Heptane and THF, one obtains many peaks for a polystyrene sample due to the polydispersity of the polystyrene. In fact, the adsorption increases with the molecular weight of the polystyrenes. The surface diffusion of polystyrene decreases with an increase in the retention factor.
Multiscale Transport In Porous Media And Patterned Surfaces
DOWNLOAD
Author : Bowen Ling
language : en
Publisher:
Release Date : 2016
Multiscale Transport In Porous Media And Patterned Surfaces written by Bowen Ling and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
The aim of this dissertation is to establish a framework to describe multi-scale transport through porous media. Transport of mass and momentum in porous media can be studied at two different scales: the macro-scale (averaged-, continuum- or Darcy-scale) and the micro-scale (pore-scale). Particularly challenging from the modeling perspective are coupled systems (e.g. channel-matrix systems) and/or inherently unstable phenomena (e.g. multiphase transport). The former require multiscale approaches since the quantities of interest on one scale (e.g. macro-scale) may depend on the properties or physics at another scale (e.g. micro-scale). The latter challenge the very basic concept of system reproducibility as well as the perturbative approaches on which upscaling methods are generally based upon. The first part of this dissertation focuses on multi-scale mass transport in a two-dimensional channel embedded between two porous surfaces. By means of perturbation theory and asymptotic analysis, we first derive the set of upscaled equations describing mass transport in the coupled channel-matrix system and an analytical expression relating the macro-scale dispersion coefficient with the surface properties, namely porosity and permeability. Our analysis shows that their impact on dispersion coefficient strongly depends on the magnitude of Peclet number, i.e., on the interplay between diffusive and advective mass transport. Our analysis shows the possibility of controlling the dispersion coefficient, i.e. transversal mixing, by either active (i.e. changing the operating conditions) or passive mechanisms (i.e. controlling matrix effective properties) for a given Peclet number. Then, we compare the upscaled model against experiments conducted on microchannels with surfaces patterned with different topologies. The experimental data are in agreement with the developed theory and quantitatively confirm the impact of the matrix geometry on tranverse dispersion at different Peclet numbers. The second part of this dissertation focuses on experimentally quantifying and improving the reproducibility of pore-scale multiphase flow experiments. The unstable nature of multiphase flows in porous media questions the basic concepts of both reproducibility and experimental benchmarking for numerical codes' validation and calibration. Subpore-scale heterogeneity and temporal fluctuations of experimental equipment can strongly control two-phase flow displacement data. We experimentally demonstrate that the introduction of spatial heterogeneity in pore-scale microfluidic models improves the reproducibility of multiphase flow experiments, and variability in fluid displacement between different realizations of the same experimental pore structure can be numerically captured by stochastic numerical simulations. The latter appears to be a more appropriate framework to describe unstable pore-scale displacement in multiphase transport.
Multiscale Analysis And Computation For Flows In Heterogeneous Media
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2016
Multiscale Analysis And Computation For Flows In Heterogeneous Media written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016 with categories.
Our work in this project is aimed at making fundamental advances in multiscale methods for flow and transport in highly heterogeneous porous media. The main thrust of this research is to develop a systematic multiscale analysis and efficient coarse-scale models that can capture global effects and extend existing multiscale approaches to problems with additional physics and uncertainties. A key emphasis is on problems without an apparent scale separation. Multiscale solution methods are currently under active investigation for the simulation of subsurface flow in heterogeneous formations. These procedures capture the effects of fine-scale permeability variations through the calculation of specialized coarse-scale basis functions. Most of the multiscale techniques presented to date employ localization approximations in the calculation of these basis functions. For some highly correlated (e.g., channelized) formations, however, global effects are important and these may need to be incorporated into the multiscale basis functions. Other challenging issues facing multiscale simulations are the extension of existing multiscale techniques to problems with additional physics, such as compressibility, capillary effects, etc. In our project, we explore the improvement of multiscale methods through the incorporation of additional (single-phase flow) information and the development of a general multiscale framework for flows in the presence of uncertainties, compressible flow and heterogeneous transport, and geomechanics. We have considered (1) adaptive local-global multiscale methods, (2) multiscale methods for the transport equation, (3) operator-based multiscale methods and solvers, (4) multiscale methods in the presence of uncertainties and applications, (5) multiscale finite element methods for high contrast porous media and their generalizations, and (6) multiscale methods for geomechanics. Below, we present a brief overview of each of these contributions.
Transport Phenomena In Porous Media
DOWNLOAD
Author : Yasuaki Ichikawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-10
Transport Phenomena In Porous Media written by Yasuaki Ichikawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-10 with Science categories.
This monograph presents an integrated perspective of the wide range of phenomena and processes applicable to the study of transport of species in porous materials. In order to formulate the entire range of porous media and their uses, this book gives the basics of continuum mechanics, thermodynamics, seepage and consolidation and diffusion, including multiscale homogenization methods. The particular structure of the book has been chosen because it is essential to be aware of the true properties of porous materials particularly in terms of nano, micro and macro mechanisms. This book is of pedagogical and practical importance to the fields covered by civil, environmental, nuclear and petroleum engineering and also in chemical physics and geophysics as it relates to radioactive waste disposal, geotechnical engineering, mining and petroleum engineering and chemical engineering.
Problems Of Shape And Information In Multiscale Modeling Of Transport Phenomena
DOWNLOAD
Author : Sassan Ostvar
language : en
Publisher:
Release Date : 2017
Problems Of Shape And Information In Multiscale Modeling Of Transport Phenomena written by Sassan Ostvar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Bacteria categories.
This work is a compilation of problems that deal with multiscale analysis of transport phenomena in environmental systems. A common feature among the problems studied here is the presence of non-negligible microscale structure in various forms. Each problem is approached from the perspective that a macroscopic observable encodes aspects of the structure on the smaller scales. In some cases, the presence of microscopic structure transforms the macroscopic dynamics in a non-trivial fashion that would be virtually unpredictable without proper upscaling. The different types of microscale structure studied here include stationary morphological information (as would be encountered in porous materials), segregation of mass (as would be seen in a poorly mixed system), molecular-scale structural heterogeneities (i.e. surface roughness), and evolving morphologies (in biofilm growth in porous media). A major focus is porous media systems, and most of the multiscale analyses are performed in the context of the method of volume averaging.
Multiscale Methods For Flow And Transport In Porous Media
DOWNLOAD
Author : Ettore Vidotto
language : en
Publisher:
Release Date : 2019
Multiscale Methods For Flow And Transport In Porous Media written by Ettore Vidotto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Advances In Chemical Engineering
DOWNLOAD
Author : Guy B. Marin
language : en
Publisher: Elsevier
Release Date : 2005-10-24
Advances In Chemical Engineering written by Guy B. Marin and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-10-24 with Technology & Engineering categories.
The theme of the present volume "Multiscale Analysis" has been introduced about a decade ago and is now reaching a stage where a first balance can be made and further research directions should be decided. Contributions have been carefully selected to ensure the reader will not be confronted with quantum mechanics at one side of the spectrum nor with chemical plants or even the environment on the other side. Maintaining a strong connection with reality i.e. experimental data was another selection criterion. Experimental validation remains the corner stone of any theoretical development and very powerful experimentel techniques are emerging.Areas covered include discussing in depth an important example of experimental techniques. Coming from the medical world, Magnetic Resonance techniques can now provide even quantitative answers to problems our community is faced with. The modeling issue is discussed further. Finally, the limitations of the classic reactor engineering models are outlined. * Original reviews* Leading chemical engineers as authors* Update on biomaterials use* Novel subject on use of biomaterials in drug delivery and gene therapy* Mathematical modeling
Multiscale Modeling And Simulation Of Transport Processes In Porous Media
DOWNLOAD
Author : Carina Bringedal
language : en
Publisher:
Release Date : 2022
Multiscale Modeling And Simulation Of Transport Processes In Porous Media written by Carina Bringedal and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022 with categories.
Multi Scale Finite Element Approximation For Transport In Heterogeneous Porous Media
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 2002
Multi Scale Finite Element Approximation For Transport In Heterogeneous Porous Media written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.
The main objective of this study is to develop an efficient multiscale coarse grid method which can be used as a competitive algorithm in studying composite materials and flow transport in strongly heterogeneous porous media. On one hand, we have explored the possibility of using adaptive mesh to reduce the modeling error introduced by the traditional moment average technique. On the other hand, we found that in the case of high aspect ratio permeability tensor, the modeling error in ignoring high order moments (3rd order or higher) could be very large. To overcome this difficulty, we have investigated an alternative approach that uses two-scale homogenization analysis to derive a coarse grid model in a systematic way. Finally, we have made some progress in developing numerical methods to solve multiscale nonlinear stochastic partial differential equations by using Wiener-Chaos expansions. These methods will reduce the problem of solving stochastic PDEs to solving a set of deterministic PDEs. This numerical method can be combined with our multiscale computational method, and can be used to compute accurately high order statistical quantities more efficiently than the traditional Monte-Carlo method.
Multiscale Methods For Flow And Transport In Heterogeneous Porous Media
DOWNLOAD
Author : Ruben Juanes
language : en
Publisher:
Release Date : 2008
Multiscale Methods For Flow And Transport In Heterogeneous Porous Media written by Ruben Juanes and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.