Mathematical Modelling Of Flow Through Porous Media
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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
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 | : 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 | : Gedeon Dagan |
Publisher | : Springer Science & Business Media |
Total Pages | : 293 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 9401721998 |
The main aim of this paper is to present some new and general results, ap plicable to the the equations of two phase flow, as formulated in geothermal reservoir engineering. Two phase regions are important in many geothermal reservoirs, especially at depths of order several hundred metres, where ris ing, essentially isothermal single phase liquid first begins to boil. The fluid then continues to rise, with its temperature and pressure closely following the saturation (boiling) curve appropriate to the fluid composition. Perhaps the two most interesting theoretical aspects of the (idealised) two phase flow equations in geothermal reservoir engineering are that firstly, only one component (water) is involved; and secondly, that the densities of the two phases are so different. This has led to the approximation of ignoring capillary pressure. The main aim of this paper is to analyse some of the consequences of this assumption, especially in relation to saturation changes within a uniform porous medium. A general analytic treatment of three dimensional flow is considered. Pre viously, three dimensional modelling in geothermal reservoirs have relied on numerical simulators. In contrast, most of the past analytic work has been restricted to one dimensional examples.
Author | : Adam Szymkiewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2012-10-11 |
Genre | : Science |
ISBN | : 364223559X |
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.
Author | : Alain P. Bourgeat |
Publisher | : World Scientific Publishing Company Incorporated |
Total Pages | : 0 |
Release | : 1995 |
Genre | : Absorption |
ISBN | : 9789810224837 |
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 | : |
Publisher | : |
Total Pages | : |
Release | : 1995 |
Genre | : Absorption |
ISBN | : 9789814531955 |
Author | : Knut-Andreas Lie |
Publisher | : Cambridge University Press |
Total Pages | : 677 |
Release | : 2019-08-08 |
Genre | : Business & Economics |
ISBN | : 1108492436 |
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.
Author | : Ekkehard O. Holzbecher |
Publisher | : Springer Science & Business Media |
Total Pages | : 308 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3642587674 |
Modeling of flow and transport in groundwater has become an important focus of scientific research in recent years. Most contributions to this subject deal with flow situations, where density and viscosity changes in the fluid are neglected. This restriction may not always be justified. The models presented in the book demonstrate immpressingly that the flow pattern may be completely different when density changes are taken into account. The main applications of the models are: thermal and saline convection, geothermal flow, saltwater intrusion, flow through salt formations etc. This book not only presents basic theory, but the reader can also test his knowledge by applying the included software and can set up own models.
Author | : Adam Szymkiewicz |
Publisher | : Springer Science & Business Media |
Total Pages | : 254 |
Release | : 2012-10-11 |
Genre | : Science |
ISBN | : 3642235581 |
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.