Simulation Of Flow In Porous Media
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Author | : Peter Bastian |
Publisher | : Walter de Gruyter |
Total Pages | : 224 |
Release | : 2013-07-31 |
Genre | : Mathematics |
ISBN | : 3110282240 |
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.
Author | : Jacob Bear |
Publisher | : Springer |
Total Pages | : 761 |
Release | : 2018-01-25 |
Genre | : Science |
ISBN | : 3319728261 |
This book presents and discusses the construction of mathematical models that describe phenomena of flow and transport in porous media as encountered in civil and environmental engineering, petroleum and agricultural engineering, as well as chemical and geothermal engineering. The phenomena of transport of extensive quantities, like mass of fluid phases, mass of chemical species dissolved in fluid phases, momentum and energy of the solid matrix and of fluid phases occupying the void space of porous medium domains are encountered in all these disciplines. The book, which can also serve as a text for courses on modeling in these disciplines, starts from first principles and focuses on the construction of well-posed mathematical models that describe all these transport phenomena.
Author | : Zhangxin Chen |
Publisher | : SIAM |
Total Pages | : 551 |
Release | : 2006-04-01 |
Genre | : Computers |
ISBN | : 0898716063 |
This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.
Author | : Jianchao Cai |
Publisher | : Elsevier |
Total Pages | : 274 |
Release | : 2020-11-05 |
Genre | : Science |
ISBN | : 0128177985 |
This important resource explores recent theoretical advances and modelling on fluids transport in fractal porous systems and presents a systematic understanding of the characterization of complex microstructure and transport mechanism in fractal porous media. Modelling of Flow and Transport in Fractal Porous Media shows how fractal theory and technology, combined with other modern experiments and numerical simulation methods, will assist researchers and practitioners in modelling of transport properties of fractal porous media, such as fluid flow, heat and mass transfer, mechanical characteristics, and electrical conductivity. - Presents the main methods and technologies for transport characterization of fractal porous media, including soils, reservoirs and artificial materials - Provides the most recent theoretical advances in modelling of fractal porous media, including gas and vapor transport in fibrous materials, nonlinear seepage flow in hydrocarbon reservoirs, mass transfer of porous nanofibers, and fractal mechanics of unsaturated soils - Includes multidisciplinary examples of applications of fractal theory to aid researchers and practitioners in characterizing various porous media structures
Author | : Geir Hasle |
Publisher | : Springer Science & Business Media |
Total Pages | : 559 |
Release | : 2007-06-10 |
Genre | : Mathematics |
ISBN | : 3540687831 |
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.
Author | : M. Kaviany |
Publisher | : Springer Science & Business Media |
Total Pages | : 636 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1468404121 |
Although the empirical treatment of fluid flow and heat transfer in porous media is over a century old, only in the last three decades has the transport in these heterogeneous systems been addressed in detail. So far, single-phase flows in porous media have been treated or at least formulated satisfactorily, while the subject of two-phase flow and the related heat-transfer in porous media is still in its infancy. This book identifies the principles of transport in porous media and compares the avalaible predictions based on theoretical treatments of various transport mechanisms with the existing experimental results. The theoretical treatment is based on the volume-averaging of the momentum and energy equations with the closure conditions necessary for obtaining solutions. While emphasizing a basic understanding of heat transfer in porous media, this book does not ignore the need for predictive tools; whenever a rigorous theoretical treatment of a phenomena is not avaliable, semi-empirical and empirical treatments are given.
Author | : Jens Feder |
Publisher | : Cambridge University Press |
Total Pages | : 361 |
Release | : 2022-10-06 |
Genre | : Business & Economics |
ISBN | : 1108839118 |
A comprehensive, stepwise introduction to the basic terminology, methods and theory of the physics of flow in porous media.
Author | : Alain P Bourgeat |
Publisher | : World Scientific |
Total Pages | : 534 |
Release | : 1995-11-30 |
Genre | : |
ISBN | : 9814548391 |
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.
Author | : S. Succi |
Publisher | : Oxford University Press |
Total Pages | : 308 |
Release | : 2001-06-28 |
Genre | : Mathematics |
ISBN | : 9780198503989 |
Certain forms of the Boltzmann equation, have emerged, which relinquish most mathematical complexities of the true Boltzmann equation. This text provides a detailed survey of Lattice Boltzmann equation theory and its major applications.
Author | : Martin A. Diaz Viera |
Publisher | : CRC Press |
Total Pages | : 370 |
Release | : 2012-07-24 |
Genre | : Mathematics |
ISBN | : 0203113888 |
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