[PDF] Numerical Simulation Of Flow In 2d Heterogeneous Porous Media Including Capillary Effects eBook

Author : Alain P Bourgeat
Publisher : World Scientific
Page : 534 pages
File Size : 28,59 MB
Release : 1995-11-30
Category :
ISBN : 9814548391

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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 : Zhen Tao
Publisher :
Page : 402 pages
File Size : 17,63 MB
Release : 2017
Category :
ISBN :

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Fluid flow through porous media is a subject of common interest in many branches of engineering as well as applied natural science. In this work, we investigate the behavior and numerical treatment of multiphase flow in porous media. To be more specific, we take the sequestration of CO2 in geological media as an example. Mathematical modeling and numerical study of carbon sequestration helps to predict both short and long-term behavior of CO2 storage in geological media, which can be a benefit in many ways. This work aims at developing accurate and efficient numerical treatment for problems in porous media on non-rectangular geometries. Numerical treatment of Darcy flow and transport have been developed for many years on rectangular and simplical meshes. However, extra effort is required to extend them to general non-rectangular meshes. In this dissertation work, for flow simulation, we develop new H(div)- conforming mixed finite elements (AT and AT [superscript red] ) which are accurate on cuboidal hexahedra. We also develop the new direct serendipity finite element (DS [subscript r] ), which is H1 -conforming and accurate on quadrilaterals and a special family of hexahedra called truncated cubes. The use of the direct serendipity finite element reduces the number of degrees of freedom significantly and therefore accelerates numerical simulations. For transport, we use the newly developed direct serendipity elements in an enriched Galerkin method (EG), which is locally conservative. The entropy viscosity stabilization is applied to eliminate spurious oscillations. We test the EG-DS [subscript r] method on problems with diffusion, transport, and coupled flow and transport. Finally, we study two-phase flow in heterogeneous porous media with capillary pressure. We work on a new formulation of the problem and force the continuity of the capillary flux with a modification to conquer the degeneracy. The numerical simulation of two-phase flow is conducted on non-rectangular grids and uses the new elements.

Author :
Publisher :
Page : pages
File Size : 27,22 MB
Release : 2003
Category :
ISBN :

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Fractures provide preferred paths for flow and transport in many porous media. They have a significant influence on process behavior in groundwater remediation, reservoir engineering and safety analysis for waste repositories. We present a finite volume method for the numerical solution of the multiphase flow equations in fractured porous media. The capillary pressure is treated by an extended capillary pressure interface condition. The method is fully coupled and fully implicit and employs a mixed-dimensional formulation with lower dimensional elements in the fractures. The method features unstructured grids, adaptive refinement and multigrid methods. It is implemented for twodimensional and threedimensional complex problems with several million unknowns. Additionally, a discontinuous Galerkin method for the groundwater flow equation and its multigrid treatment is presented.

Author : D.B. Das
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 11,10 MB
Release : 2005-06-10
Category : Science
ISBN : 9781402035135

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This book provides concise, up-to-date and easy-to-follow information on certain aspects of an ever important research area: multiphase flow in porous media. This flow type is of great significance in many petroleum and environmental engineering problems, such as in secondary and tertiary oil recovery, subsurface remediation and CO2 sequestration. This book contains a collection of selected papers (all refereed) from a number of well-known experts on multiphase flow. The papers describe both recent and state-of-the-art modeling and experimental techniques for study of multiphase flow phenomena in porous media. Specifically, the book analyses three advanced topics: upscaling, pore-scale modeling, and dynamic effects in multiphase flow in porous media. This will be an invaluable reference for the development of new theories and computer-based modeling techniques for solving realistic multiphase flow problems. Part of this book has already been published in a journal. Audience This book will be of interest to academics, researchers and consultants working in the area of flow in porous media.

Author : Martin J. Blunt
Publisher : Cambridge University Press
Page : 503 pages
File Size : 19,45 MB
Release : 2017-02-16
Category : Science
ISBN : 1107093465

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This book provides a fundamental description of multiphase fluid flow through porous rock, based on understanding movement at the pore, or microscopic, scale.

Author : Pierre M. Adler
Publisher : Oxford University Press, USA
Page : 184 pages
File Size : 44,12 MB
Release : 2013
Category : Science
ISBN : 0199666512

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This book provides a systematic treatment of the geometrical and transport properties of fractures, fracture networks, and fractured porous media. It is divided into two major parts. The first part deals with geometry of individual fractures and of fracture networks. The use of the dimensionless density rationalizes the results for the percolation threshold of the networks. It presents the crucial advantage of grouping the numerical data for various fracture shapes. The second part deals mainly with permeability under steady conditions of fractures, fracture networks, and fractured porous media. Again the results for various types of networks can be rationalized by means of the dimensionless density. A chapter is dedicated to two phase flow in fractured porous media.