Stochastic Methods For Flow In Porous Media PDF Download
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| Author | : Dongxiao Zhang |
| Publisher | : Elsevier |
| Total Pages | : 371 |
| Release | : 2001-10-11 |
| Genre | : Mathematics |
| ISBN | : 0080517773 |
Download Stochastic Methods for Flow in Porous Media Book in PDF, ePub and Kindle
Stochastic Methods for Flow in Porous Media: Coping with Uncertainties explores fluid flow in complex geologic environments. The parameterization of uncertainty into flow models is important for managing water resources, preserving subsurface water quality, storing energy and wastes, and improving the safety and economics of extracting subsurface mineral and energy resources. This volume systematically introduces a number of stochastic methods used by researchers in the community in a tutorial way and presents methodologies for spatially and temporally stationary as well as nonstationary flows. The author compiles a number of well-known results and useful formulae and includes exercises at the end of each chapter. Balanced viewpoint of several stochastic methods, including Greens' function, perturbative expansion, spectral, Feynman diagram, adjoint state, Monte Carlo simulation, and renormalization group methods Tutorial style of presentation will facilitate use by readers without a prior in-depth knowledge of Stochastic processes Practical examples throughout the text Exercises at the end of each chapter reinforce specific concepts and techniques For the reader who is interested in hands-on experience, a number of computer codes are included and discussed
| Author | : Don Kulasiri |
| Publisher | : Elsevier |
| Total Pages | : 253 |
| Release | : 2002-11-22 |
| Genre | : Mathematics |
| ISBN | : 0080541801 |
Download Stochastic Dynamics. Modeling Solute Transport in Porous Media Book in PDF, ePub and Kindle
Most of the natural and biological phenomena such as solute transport in porous media exhibit variability which can not be modeled by using deterministic approaches. There is evidence in natural phenomena to suggest that some of the observations can not be explained by using the models which give deterministic solutions. Stochastic processes have a rich repository of objects which can be used to express the randomness inherent in the system and the evolution of the system over time. The attractiveness of the stochastic differential equations (SDE) and stochastic partial differential equations (SPDE) come from the fact that we can integrate the variability of the system along with the scientific knowledge pertaining to the system. One of the aims of this book is to explaim some useufl concepts in stochastic dynamics so that the scientists and engineers with a background in undergraduate differential calculus could appreciate the applicability and appropriateness of these developments in mathematics. The ideas are explained in an intuitive manner wherever possible with out compromising rigor. The solute transport problem in porous media saturated with water had been used as a natural setting to discuss the approaches based on stochastic dynamics. The work is also motivated by the need to have more sophisticated mathematical and computational frameworks to model the variability one encounters in natural and industrial systems. This book presents the ideas, models and computational solutions pertaining to a single problem: stochastic flow of contaminant transport in the saturated porous media such as that we find in underground aquifers. In attempting to solve this problem using stochastic concepts, different ideas and new concepts have been explored, and mathematical and computational frameworks have been developed in the process. Some of these concepts, arguments and mathematical and computational constructs are discussed in an intuititve manner in this book.
| Author | : Wolfgang Ehlers |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 459 |
| Release | : 2013-03-09 |
| Genre | : Technology & Engineering |
| ISBN | : 3662049996 |
Download Porous Media Book in PDF, ePub and Kindle
The present volume offers a state-of-the-art report on the various recent sci entific developments in the Theory of Porous Media (TPM) comprehending the basic theoretical concepts in continuum mechanics on porous and mul tiphasic materials as well as the wide range of experimental and numerical applications. Following this, the volume does not only address the sophisti cated reader but also the interested beginner in the area of Porous Media by presenting a collection of articles. These articles written by experts in the field concern the fundamental approaches to multiphasic and porous materials as well as various applications to engineering problems. In many branches of engineering just as in applied natural sciences like bio- and chemomechanics, one often has to deal with continuum mechanical problems which cannot be uniquely classified within the well-known disci plines of either "solid mechanics" or "fluid mechanics". These problems, characterized by the fact that they require a unified treatment of volumetri cally coupled solid-fluid aggregates; basically fall into the categories of either mixtures or porous media. Following this, there is a broad variety of problems ranging in this category as for example the investigation of reacting fluid mix tures or solid-fluid suspensions as well as the investigation of the coupled solid deformation and pore-fluid flow behaviour of liquid- and gas-saturated porous solid skeleton materials like geomaterials (soil, rock, concrete, etc. ), polymeric and metallic foams or biomaterials (hard and soft tissues, etc).
| Author | : Mickaële Le Ravalec |
| Publisher | : Editions Technips |
| Total Pages | : 0 |
| Release | : 2005 |
| Genre | : Fluid dynamics |
| ISBN | : 9782710808640 |
Download Inverse Stochastic Modeling of Flow in Porous Media Book in PDF, ePub and Kindle
In order to understand fluid flows in underground porous formations, engineers need to produce models, in the form of grid systems populated with physical properties such as permeability and porosity. This procedure is of crucial importance but it is also problematic. It is crucially important in determining where and how fluids flow; reservoir or aquifer modeling is used to plan field development, optimize oil production with the judicious selection of well locations, assess contaminant migration, design capture zones, and so on. It is problematic, because there is never enough data available to describe with certainty the spatial distribution of permeability and porosity on a given scale. Given the complex heterogeneity of natural porous media, the fundamental question is: how can this reality be incorporated in models? This textbook refers to geostatistics and optimization to review the whole workflow for modern reservoir characterization and to provide an original solution. A CD-ROM with a software called GO is supplied with this book. It provides tools to answer the illustrative exercises proposed and to help the reader to develop intuitive understanding. This book is written at a comprehensible level for students who have had calculus, linear algebra and some exposure to differential equations. It should also serve already-practicing engineers in oil reservoirs, environment and hydrology.
| Author | : Viorel Barbu |
| Publisher | : Springer |
| Total Pages | : 202 |
| Release | : 2016-09-30 |
| Genre | : Mathematics |
| ISBN | : 3319410695 |
Download Stochastic Porous Media Equations Book in PDF, ePub and Kindle
Focusing on stochastic porous media equations, this book places an emphasis on existence theorems, asymptotic behavior and ergodic properties of the associated transition semigroup. Stochastic perturbations of the porous media equation have reviously been considered by physicists, but rigorous mathematical existence results have only recently been found. The porous media equation models a number of different physical phenomena, including the flow of an ideal gas and the diffusion of a compressible fluid through porous media, and also thermal propagation in plasma and plasma radiation. Another important application is to a model of the standard self-organized criticality process, called the "sand-pile model" or the "Bak-Tang-Wiesenfeld model". The book will be of interest to PhD students and researchers in mathematics, physics and biology.
| Author | : Tom Lindstrøm |
| Publisher | : |
| Total Pages | : 34 |
| Release | : 1991 |
| Genre | : Stochastic differential equations |
| ISBN | : 9788255307532 |
Download Stochastic Modelling of Fluid Flow in Porous Media Book in PDF, ePub and Kindle
| Author | : Jacob Bear |
| Publisher | : Springer |
| Total Pages | : 1018 |
| Release | : 1984-11-30 |
| Genre | : Science |
| ISBN | : |
Download Fundamentals of Transport Phenomena in Porous Media Book in PDF, ePub and Kindle
Proceedings of the NATO Advanced Study Institute, Newark, Delaware, July 18-27, 1982
| Author | : Malay K. Das |
| Publisher | : Springer |
| Total Pages | : 241 |
| Release | : 2017-11-21 |
| Genre | : Technology & Engineering |
| ISBN | : 3319698664 |
Download Modeling Transport Phenomena in Porous Media with Applications Book in PDF, ePub and Kindle
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.
| Author | : Martin A. Diaz Viera |
| Publisher | : CRC Press |
| Total Pages | : 370 |
| Release | : 2012-07-24 |
| Genre | : Mathematics |
| ISBN | : 0203113888 |
Download Mathematical and Numerical Modeling in Porous Media Book in PDF, ePub and Kindle
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 | : Peter Dietrich |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 476 |
| Release | : 2005-03-02 |
| Genre | : Mathematics |
| ISBN | : 9783540232704 |
Download Flow and Transport in Fractured Porous Media Book in PDF, ePub and Kindle
This book addresses the characterization of flow and transport in porous fractured media from experimental and modeling perspectives. The volume explores porous media problems, from the origin of the present natural porous structures, to their characterization, and various flow and transport phenomena that exist within the porous media. Examples are miscible displacements in porous media and fractured rock and the physical and chemical interactions within porous fractured aquifers. The book is a comprehensive presentation of investigations performed and analysed on different scales, supporting the understanding and application of experimental studies and numerical simulations.
