The Behaviour Of The Interface Between Two Fluids Moving Through Porous Media Studies By Means Of The Hele Shaw Model
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The Behaviour Of The Interface Between Two Fluids Moving Through Porous Media Studies By Means Of The Hele Shaw Model
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Author : Israel Naor
language : en
Publisher:
Release Date : 1955
The Behaviour Of The Interface Between Two Fluids Moving Through Porous Media Studies By Means Of The Hele Shaw Model written by Israel Naor and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Boundary layer categories.
Tracking Interface And Common Curve Dynamics For Two Fluid Flow In Porous Media
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Author :
language : en
Publisher:
Release Date : 2016
Tracking Interface And Common Curve Dynamics For Two Fluid Flow In 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 2016 with categories.
Pore-scale studies of multiphase flow in porous medium systems can be used to understand transport mechanisms and quantitatively determine closure relations that better incorporate microscale physics into macroscale models. Multiphase flow simulators constructed using the lattice Boltzmann method provide a means to conduct such studies, including both the equilibrium and dynamic aspects. Moving, storing, and analyzing the large state space presents a computational challenge when highly-resolved models are applied. We present an approach to simulate multiphase flow processes in which in-situ analysis is applied to track multiphase flow dynamics at high temporal resolution. We compute a comprehensive set of measures of the phase distributions and the system dynamics, which can be used to aid fundamental understanding and inform closure relations for macroscale models. The measures computed include microscale point representations and macroscale averages of fluid saturations, the pressure and velocity of the fluid phases, interfacial areas, interfacial curvatures, interface and common curve velocities, interfacial orientation tensors, phase velocities and the contact angle between the fluid-fluid interface and the solid surface. Test cases are studied to validate the approach and illustrate how measures of system state can be obtained and used to inform macroscopic theory.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1987
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mechanics, Applied categories.
Experimentally Determined Interfacial Area Between Immiscible Fluids In Porous Media
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Author :
language : en
Publisher:
Release Date : 2008
Experimentally Determined Interfacial Area Between Immiscible Fluids In 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 2008 with categories.
When multiple fluids flow through a porous medium, the interaction between the fluid interfaces can be of great importance. While this is widely recognized in practical applications, numerical models often disregard interactios between discrete fluid phases due to the computational complexity. And rightly so, for this level of detail is well beyond most extended Darcy Law relationships. A new model of two-phase flow including the interfacial area has been proposed by Hassarizadeh and Gray based upon thermodynamic principles. A version of this general equation set has been implemented by Nessner and Hassarizadeh. Many of the interfacial parameters required by this equation set have never been determined from experiments. The work presented here is a description of how the interfacial area, capillary pressure, interfacial velocity and interfacial permeability from two-phase flow experiments in porous media experiments can be used to determine the required parameters. This work, while on-going, has shown the possibility of digitizing images within translucent porous media and identifying the location and behavior of interfaces under dynamic conditions. Using the described methods experimentally derived interfacial functions to be used in larger scale simulations are currently being developed. In summary, the following conclusions can be drawn: (1) by mapping a pore-throat geometry onto an image of immiscible fluid flow, the saturation of fluids and the individual interfaces between the fluids can be identified; (2) the resulting saturation profiles of the low velocity drainage flows used in this study are well described by an invasion percolation fractal scaling; (3) the interfacial area between fluids has been observed to increase in a linear fashion during the initial invasion of the non-wetting fluid; and (4) the average capillary pressure within the entire cell and representative elemental volumes were observed to plateau after a small portion of the volume was invaded.
Transport Phenomena In Porous Media Ii
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Author : I. Pop
language : en
Publisher: Elsevier
Release Date : 2002-06-20
Transport Phenomena In Porous Media Ii written by I. Pop and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-06-20 with Technology & Engineering categories.
Transport phenomena in porous media continues to be a field which attracts intensive research activity. This is primarily due to the fact that it plays an important and practical role in a large variety of diverse scientific applications. Transport Phenomena in Porous Media II covers a wide range of the engineering and technological applications, including both stable and unstable flows, heat and mass transfer, porosity, and turbulence. Transport Phenomena in Porous Media II is the second volume in a series emphasising the fundamentals and applications of research in porous media. It contains 16 interrelated chapters of controversial, and in some cases conflicting, research, over a wide range of topics. The first volume of this series, published in 1998, met with a very favourable reception. Transport Phenomena in Porous Media II maintains the original concept including a wide and diverse range of topics, whilst providing an up-to-date summary of recent research in the field by its leading practitioners.
The Boundary Element Method Volume 1
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Author : L. C. Wrobel
language : en
Publisher: John Wiley & Sons
Release Date : 2002-04-22
The Boundary Element Method Volume 1 written by L. C. Wrobel and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-22 with Technology & Engineering categories.
The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.
Civil Engineering Hydraulics Abstracts
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Author :
language : en
Publisher:
Release Date : 1984
Civil Engineering Hydraulics Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Fluid mechanics categories.
Flow In Porous Media
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Author : Jim Douglas (Jr.)
language : en
Publisher: Springer Science & Business Media
Release Date : 1993
Flow In Porous Media written by Jim Douglas (Jr.) 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 1993 with Mathematics categories.
The papers deal with aspects of modeling, mathematical theory, numerical methods and applications in the engineering sciences.
Petroleum Abstracts
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Author :
language : en
Publisher:
Release Date : 1993
Petroleum Abstracts written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Petroleum categories.
Topics In Stability Analysis Of Multi Layer Hele Shaw And Porous Media Flows
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Author : Craig Robert Gin
language : en
Publisher:
Release Date : 2015
Topics In Stability Analysis Of Multi Layer Hele Shaw And Porous Media Flows written by Craig Robert Gin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
We study the linear stability of multi-layer Hele-Shaw flows. This topic has many useful applications including the design of efficient enhanced oil recovery techniques. We study four problems: two in a rectilinear flow geometry and two in a radial flow geometry. The first of these involves a characterization of the eigenvalues and eigenfunctions of the eigenvalue problem which results from the stability analysis of three-layer rectilinear flows in which the middle layer has variable viscosity. The resulting eigenvalue problem is a Sturm-Liouville problem in which the eigenvalues appear in the boundary conditions. For the case of an increasing viscous profile, we find that there is an infinite number of eigenvalues that increase without bound. By connecting the problem to a related regular Sturm-Liouville problem, we are able to prove the completeness of the eigenfunctions in a certain Sobolev space. We then provide an in-depth analysis of the case where the viscous profile of the middle layer is exponential. We find an explicit sequence of numbers which alternate with the eigenvalues. The second problem involves the stability of three-layer rectilinear Hele-Shaw flows in which there is diffusion of polymer within the middle layer of fluid. We first reformulate the eigenvalue problem using dimensionless quantities. We then revisit an old theorem about the stabilizing effect of diffusion and give a new proof. An efficient and accurate pseudo-spectral Chebyshev method is used to show that the stabilizing effect of diffusion is, in fact, drastic. We proceed to consider the stability of multi-layer Hele-Shaw flows in a radial flow geometry. We first study the case of an arbitrary number of fluid layers with constant viscosity. We provide upper bounds on the growth rate of disturbances and use them to provide conditions for stabilization of the flow. We also show that the equations for rectilinear flow can be obtained as a certain limit of radial flow. For the specific case of three-layer flows, we give exact expressions for the growth rate and explore the asymptotic limits of a thick and thin intermediate layer. We finish by using these exact expressions to study the effects of important parameters of the problem. We conclude that large values of interfacial tension can completely stabilize the flow and that decreasing the curvature of the interfaces by pumping in additional fluid has a non-monotonic effect on stability. We then consider three-layer radial flows in which the intermediate layer has variable viscosity. In order to use a similar analysis to that which is done in the previous problems, we define a change of variables that fixes the basic solution. In this new coordinate system, we are able to formulate the eigenvalue problem that governs the growth rate of disturbances. We define a measure based on the eigenvalue problem which leads to a Hilbert space in which the problem is self-adjoint. We also derive upper bounds on the growth rate, analogous to ones previously found for variable viscosity rectilinear flows. We then undertake a numerical study of the eigenvalue problem and find that variable viscosity flows, if chosen properly, can be less unstable than constant viscosity flows. Finally, we give details on our numerical method which is used throughout. The electronic version of this dissertation is accessible from http://hdl.handle.net/1969.1/155543