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Mathematical And Numerical Modeling In Porous Media


Mathematical And Numerical Modeling In Porous Media
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Mathematical And Numerical Modeling In Porous Media


Mathematical And Numerical Modeling In Porous Media
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Author : Martin A. Diaz Viera
language : en
Publisher: CRC Press
Release Date : 2012-07-24

Mathematical And Numerical Modeling In Porous Media written by Martin A. Diaz Viera and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-24 with Mathematics categories.


Porous media are broadly found in nature and their study is of high relevance in our present lives. In geosciences porous media research is fundamental in applications to aquifers, mineral mines, contaminant transport, soil remediation, waste storage, oil recovery and geothermal energy deposits. Despite their importance, there is as yet no complete



Modelling Water Flow In Unsaturated Porous Media


Modelling Water Flow In Unsaturated Porous Media
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Author : Adam Szymkiewicz
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-11

Modelling Water Flow In Unsaturated Porous Media written by Adam Szymkiewicz 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 2012-10-11 with Science categories.


The book focuses on two issues related to mathematical and numerical modelling of flow in unsaturated porous media. In the first part numerical solution of the governing equations is discussed, with particular emphasis on the spatial discretization of highly nonlinear permeability coefficient. The second part deals with large scale flow in heterogeneous porous media of binary structure. Upscaled models are developed and it is shown that the presence of material heterogeneities may give rise to additional non-equilibrium terms in the governing equations or to hysteresis in the averaged constitutive relationships.



Numerical Treatment Of Multiphase Flows In Porous Media


Numerical Treatment Of Multiphase Flows In Porous Media
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Author : Zhangxin Chen
language : en
Publisher: Springer
Release Date : 2008-01-11

Numerical Treatment Of Multiphase Flows In Porous Media written by Zhangxin Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-11 with Science categories.


The need to predict, understand, and optimize complex physical and c- mical processes occurring in and around the earth, such as groundwater c- tamination, oil reservoir production, discovering new oil reserves, and ocean hydrodynamics, has been increasingly recognized. Despite their seemingly disparate natures, these geoscience problems have many common mathe- tical and computational characteristics. The techniques used to describe and study them are applicable across a broad range of areas. The study of the above problems through physical experiments, mat- matical theory, and computational techniques requires interdisciplinary col- boration between engineers, mathematicians, computational scientists, and other researchers working in industry, government laboratories, and univ- sities. By bringing together such researchers, meaningful progress can be made in predicting, understanding, and optimizing physical and chemical processes. The International Workshop on Fluid Flow and Transport in Porous - dia was successfully held in Beijing, China, August 2{6, 1999. The aim of this workshop was to bring together applied mathematicians, computational scientists, and engineers working actively in the mathematical and nume- cal treatment of ?uid ?ow and transport in porous media. A broad range of researchers presented papers and discussed both problems and current, state-of-the-art techniques.



Geometric Modelling Numerical Simulation And Optimization


Geometric Modelling Numerical Simulation And Optimization
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Author : Geir Hasle
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-10

Geometric Modelling Numerical Simulation And Optimization written by Geir Hasle 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 2007-06-10 with Mathematics categories.


This edited volume addresses the importance of mathematics for industry and society by presenting highlights from contract research at the Department of Applied Mathematics at SINTEF, the largest independent research organization in Scandinavia. Examples range from computer-aided geometric design, via general purpose computing on graphics cards, to reservoir simulation for enhanced oil recovery. Contributions are written in a tutorial style.



An Introduction To Reservoir Simulation Using Matlab Gnu Octave


An Introduction To Reservoir Simulation Using Matlab Gnu Octave
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Author : Knut-Andreas Lie
language : en
Publisher: Cambridge University Press
Release Date : 2019-08-08

An Introduction To Reservoir Simulation Using Matlab Gnu Octave written by Knut-Andreas Lie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-08 with Business & Economics categories.


Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.



Mathematical Modelling Of Flow Through Porous Media


Mathematical Modelling Of Flow Through Porous Media
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Author : Alain P. Bourgeat
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1995

Mathematical Modelling Of Flow Through Porous Media written by Alain P. Bourgeat and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Absorption categories.


This proceedings volume contains contributions from leading scientists working on modelling and numerical simulation of flows through porous media and on mathematical analysis of the equations associated to the modelling. There is a number of contributions on rigorous results for stochastic media and for applications to numerical simulations. Modelling and simulation of environment and pollution are also subject of several papers. The published material herein gives an insight to the state of the art in the field with special attention for rigorous discussions and results.



Nbs Special Publication


Nbs Special Publication
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Author :
language : en
Publisher:
Release Date : 1980

Nbs Special Publication written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Weights and measures categories.




Modeling Transport Phenomena In Porous Media With Applications


Modeling Transport Phenomena In Porous Media With Applications
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Author : Malay K. Das
language : en
Publisher: Springer
Release Date : 2017-11-21

Modeling Transport Phenomena In Porous Media With Applications written by Malay K. Das and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-21 with Technology & Engineering categories.


This book is an ensemble of six major chapters, an introduction, and a closure on modeling transport phenomena in porous media with applications. Two of the six chapters explain the underlying theories, whereas the rest focus on new applications. Porous media transport is essentially a multi-scale process. Accordingly, the related theory described in the second and third chapters covers both continuum‐ and meso‐scale phenomena. Examining the continuum formulation imparts rigor to the empirical porous media models, while the mesoscopic model focuses on the physical processes within the pores. Porous media models are discussed in the context of a few important engineering applications. These include biomedical problems, gas hydrate reservoirs, regenerators, and fuel cells. The discussion reveals the strengths and weaknesses of existing models as well as future research directions.



Mathematical Models And Finite Elements For Reservoir Simulation


Mathematical Models And Finite Elements For Reservoir Simulation
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Author : G. Chavent
language : en
Publisher: Elsevier
Release Date : 1986-01-01

Mathematical Models And Finite Elements For Reservoir Simulation written by G. Chavent and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Mathematics categories.


Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers.The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced.Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.



Simulation Of Flow In Porous Media


Simulation Of Flow In Porous Media
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Author : Peter Bastian
language : en
Publisher: Walter de Gruyter
Release Date : 2013-07-31

Simulation Of Flow In Porous Media written by Peter Bastian and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-31 with Mathematics categories.


Subsurface flow problems are inherently multiscale in space due to the large variability of material properties and in time due to the coupling of many different physical processes, such as advection, diffusion, reaction and phase exchange. Subsurface flow models still need considerable development. For example, nonequilibrium effects, entrapped air, anomalous dispersion and hysteresis effects can still not be adequately described. Moreover, parameters of the models are diffcult to access and often uncertain. Computational issues in subsurface flows include the treatment of strong heterogeneities and anisotropies in the models, the effcient solution of transport-reaction problems with many species, treatment of multiphase-multicomponent flows and the coupling of subsurface flow models to surface flow models given by shallow water or Stokes equations. With respect to energy and the environment, in particular the modelling and simulation of radioactive waste management and sequestration of CO2 underground have gained high interest in the community in recent years. Both applications provide unique challenges ranging from modelling of clay materials to treating very large scale models with high-performance computing. This book brings together key numerical mathematicians whose interest is in the analysis and computation of multiscale subsurface flow and practitioners from engineering and industry whose interest is in the applications of these core problems.