Stochastic Methods for Flow in Porous Media

Stochastic Methods for Flow in Porous Media

Author: Dongxiao Zhang

Publisher: Elsevier

Published: 2001-10-11

Total Pages: 371

ISBN-13: 0080517773

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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


Modeling Transport Phenomena in Porous Media with Applications

Modeling Transport Phenomena in Porous Media with Applications

Author: Malay K. Das

Publisher: Springer

Published: 2017-11-21

Total Pages: 250

ISBN-13: 3319698664

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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 and Numerical Modeling in Porous Media

Mathematical and Numerical Modeling in Porous Media

Author: Martin A. Diaz Viera

Publisher: CRC Press

Published: 2012-07-24

Total Pages: 370

ISBN-13: 0203113888

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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

Author: Adam Szymkiewicz

Publisher: Springer Science & Business Media

Published: 2012-10-11

Total Pages: 254

ISBN-13: 364223559X

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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.


Transport Processes in Porous Media

Transport Processes in Porous Media

Author: Jacob Bear

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 807

ISBN-13: 9401136289

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This volume contains the invited lectures presented during the NATO/ASI conducted in Pullman, Washington, July 9-18, 1989. This is the third in a series of NATO/ASIs on transport phenomena in porous media. The first two, which took place at Newark, Delaware in 1982 and 1985, are devoted to various topics related to the Fundamentals of Transport Processes in Porous Media. The contents of the books resulting from previous NATO/ASIs are given at the end of this book. Transport of extensive quantities such as mass of a fluid phase, mass of chemical species carried by a fluid phase, energy and electric charge in porous media, as encountered in a large variety of engineering disciplines, is an emerging interdisciplinary field. The groundwater flow, the simultaneous flow of gas, oil and water in petroleum reservoirs, the movement and accumulation of pollutants in the saturated and unsaturated subsurface zones, thermal energy storage in reservoirs, land subsidence in response to charges in overburden loads, or to pumping of fluids from underground formations, wave propagation in seismic investigations or as produced by earthquakes, chemical reactors, water flow through sand filters and the movement of fluids through kidneys, may serve as examples of fields in which the theory of transport in porous media is employed.


The Handbook of Groundwater Engineering

The Handbook of Groundwater Engineering

Author: Jacques W. Delleur

Publisher: CRC Press

Published: 2006-11-16

Total Pages: 1342

ISBN-13: 1420006002

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A complete treatment of the theory and practice of groundwater engineering, The Handbook of Groundwater Engineering, Second Edition provides a current and detailed review of how to model the flow of water and the transport of contaminants both in the unsaturated and saturated zones, covers the production of groundwater and the remediation of contaminated groundwater.


Groundwater Flow and Quality Modelling

Groundwater Flow and Quality Modelling

Author: E. Custodio

Publisher: Springer Science & Business Media

Published: 1988-02-29

Total Pages: 876

ISBN-13: 9789027726551

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Proceedings of the NATO Advanced Research Workshop on Advances in Analytical and Numerical Groundwater Flow and Quality Modelling, Lisbon, Portugal, June 2-6, 1987


Handbook of Porous Media

Handbook of Porous Media

Author: Kambiz Vafai

Publisher: CRC Press

Published: 2015-06-23

Total Pages: 946

ISBN-13: 1439885575

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Handbook of Porous Media, Third Edition offers a comprehensive overview of the latest theories on flow, transport, and heat-exchange processes in porous media. It also details sophisticated porous media models which can be used to improve the accuracy of modeling in a variety of practical applications. Featuring contributions from leading experts i