Stochastic Methods For Flow In Porous Media

Author : Dongxiao Zhang
Publisher : Elsevier
Page : 371 pages
File Size : 45,6 Mb
Release : 2001-10-11
Category : Mathematics
ISBN : 9780080517773

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Stochastic Methods for Flow in Porous Media by Dongxiao Zhang Pdf

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,Wynand Verwoerd
Publisher : Elsevier
Page : 253 pages
File Size : 52,6 Mb
Release : 2002-11-22
Category : Mathematics
ISBN : 9780080541808

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Stochastic Dynamics. Modeling Solute Transport in Porous Media by Don Kulasiri,Wynand Verwoerd Pdf

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 : Malay K. Das,Partha P. Mukherjee,K. Muralidhar
Publisher : Springer
Page : 241 pages
File Size : 40,8 Mb
Release : 2017-11-21
Category : Technology & Engineering
ISBN : 9783319698663

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Modeling Transport Phenomena in Porous Media with Applications by Malay K. Das,Partha P. Mukherjee,K. Muralidhar Pdf

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 : Tom Lindstrøm,Jan Ubøe,Bernt K. Øksendal
Publisher : Unknown
Page : 34 pages
File Size : 52,9 Mb
Release : 1991
Category : Stochastic differential equations
ISBN : 8255307532

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Stochastic Modelling of Fluid Flow in Porous Media by Tom Lindstrøm,Jan Ubøe,Bernt K. Øksendal Pdf

Author : Anonim
Publisher : Unknown
Page : 962 pages
File Size : 45,7 Mb
Release : 1991
Category : Hydrology
ISBN : UOM:39015015408084

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Selected Water Resources Abstracts by Anonim Pdf

Author : Jacques W. Delleur
Publisher : CRC Press
Page : 1342 pages
File Size : 44,8 Mb
Release : 2006-11-16
Category : Technology & Engineering
ISBN : 9781420006001

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The Handbook of Groundwater Engineering by Jacques W. Delleur Pdf

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.

Author : Shuning Dong
Publisher : Springer
Page : 264 pages
File Size : 42,8 Mb
Release : 2016-04-22
Category : Science
ISBN : 9783319323428

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Study on the Optimal Allocation of Water Resources Systems and the Comprehensive Utilization of Water Resources in Arid-Semiarid Multiple Mining Areas by Shuning Dong Pdf

Arid-semiarid regions have suffered from sharp conflicts among water resource utilization, mining, and the environmental protection. Sustainable development in these regions requires a close coordination between economy, society and the environment. Based on systematic hydrogeological investigations, laboratory and in-situ tests, and application of innovative methodologies including theoretical analysis modeling and prediction to study water resource distribution (including surface water, groundwater, mine water and coal mine domestic water) in mining areas, this dissertation provides detailed analysis of the current situation and trend of water uses in domestic supply, agriculture and industry. It evaluates the status development and utilization, evolution trend, exploitation and utilization potential of water resources in Shen-Dong Coal Mine area, one of China’s extra-large coal bases. Incorporated with the long and intermediate terms' development strategies of this area, the dissertation lays out a scientific allocation scheme of water resources in different hydrological years and proposes a planning mode of water resources development and utilization and a technical scheme for comprehensive water resources utilization to provide technical supports for the optimal allocation, rational exploitation, comprehensive utilization and scientific management of water resources. This dissertation is one of the best in Chang’an University because of the volume of reliable data, defensible scientific analysis, and world significance of the research results.

Author : Anonim
Publisher : Unknown
Page : 1138 pages
File Size : 47,9 Mb
Release : 1990
Category : Water
ISBN : UIUC:30112008963297

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Selected Water Resources Abstracts by Anonim Pdf

Author : Jacob Bear,M. Yavuz Corapcioglu
Publisher : Springer Science & Business Media
Page : 807 pages
File Size : 44,6 Mb
Release : 2012-12-06
Category : Technology & Engineering
ISBN : 9789401136280

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Transport Processes in Porous Media by Jacob Bear,M. Yavuz Corapcioglu Pdf

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.

Author : Alain P Bourgeat,Claude Carasso,Stephan Luckhaus,Andro Mikelic
Publisher : World Scientific
Page : 534 pages
File Size : 42,6 Mb
Release : 1995-11-30
Category : Electronic
ISBN : 9789814548397

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Mathematical Modelling Of Flow Through Porous Media - Proceedings Of The Conference by Alain P Bourgeat,Claude Carasso,Stephan Luckhaus,Andro Mikelic Pdf

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 : Philippe Renard,Frederick Delay,Daniel M. Tartakovsky,Velimir V. Vesselinov
Publisher : Frontiers Media SA
Page : 177 pages
File Size : 55,5 Mb
Release : 2020-04-22
Category : Electronic
ISBN : 9782889636747

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Parameter Estimation and Uncertainty Quantification in Water Resources Modeling by Philippe Renard,Frederick Delay,Daniel M. Tartakovsky,Velimir V. Vesselinov Pdf

Numerical models of flow and transport processes are heavily employed in the fields of surface, soil, and groundwater hydrology. They are used to interpret field observations, analyze complex and coupled processes, or to support decision making related to large societal issues such as the water-energy nexus or sustainable water management and food production. Parameter estimation and uncertainty quantification are two key features of modern science-based predictions. When applied to water resources, these tasks must cope with many degrees of freedom and large datasets. Both are challenging and require novel theoretical and computational approaches to handle complex models with large number of unknown parameters.

Author : Zhangxin Chen,Guanren Huan,Yuanle Ma
Publisher : SIAM
Page : 551 pages
File Size : 49,8 Mb
Release : 2006-04-01
Category : Computers
ISBN : 9780898716061

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Computational Methods for Multiphase Flows in Porous Media by Zhangxin Chen,Guanren Huan,Yuanle Ma Pdf

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 : Harindra Joseph Fernando
Publisher : CRC Press
Page : 638 pages
File Size : 52,6 Mb
Release : 2012-12-12
Category : Science
ISBN : 9781439816691

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Handbook of Environmental Fluid Dynamics, Volume One by Harindra Joseph Fernando Pdf

With major implications for applied physics, engineering, and the natural and social sciences, the rapidly growing area of environmental fluid dynamics focuses on the interactions of human activities, environment, and fluid motion. A landmark for the field, the two-volume Handbook of Environmental Fluid Dynamics presents the basic principles, fundamental flow processes, modeling techniques, and measurement methods used in the study of environmental motions. It also offers critical discussions of environmental sustainability related to engineering. The handbook features 81 chapters written by 135 renowned researchers from around the world. Covering environmental, policy, biological, and chemical aspects, it tackles important cross-disciplinary topics such as sustainability, ecology, pollution, micrometeorology, and limnology. Volume One: Overview and Fundamentals provides a comprehensive overview of the basic principles. It starts with general topics that emphasize the relevance of environmental fluid dynamics research in society, public policy, infrastructure, quality of life, security, and the law. It then discusses established and emerging focus areas. The volume also examines the sub-mesoscale flow processes and phenomena that form the building blocks of environmental motions, with emphasis on turbulent motions and their role in heat, momentum, and species transport. As communities face existential challenges posed by climate change, rapid urbanization, and scarcity of water and energy, the study of environmental fluid dynamics becomes increasingly relevant. This volume is a valuable resource for students, researchers, and policymakers working to better understand the fundamentals of environmental motions and how they affect and are influenced by anthropogenic activities. See also Handbook of Environmental Fluid Dynamics, Two-Volume Set and Volume Two: Systems, Pollution, Modeling, and Measurements.

Author : Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment
Publisher : American Mathematical Soc.
Page : 538 pages
File Size : 46,6 Mb
Release : 2002
Category : Fluid dynamics
ISBN : 9780821828076

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Fluid Flow and Transport in Porous Media, Mathematical and Numerical Treatment by Zhangxin Chen,Richard E. Ewing,Joint Summer Research Conference on Fluid Flow and Transport in Porous Media: Mathematical and Numerical Treatment Pdf

The June 2001 conference brought together mathematicians, computational scientists, and engineers working on the mathematical and numerical treatment of fluid flow and transport in porous media. This collection of 43 papers from that conference reports on recent advances in network flow modeling, parallel computation, optimization, upscaling, uncertainty reduction, media characterization, and chemically reactive phenomena. Topics include modeling horizontal wells using hybrid grids in reservoir simulation, a high order Lagrangian scheme for flow through unsaturated porous media, and a streamline front tracking method for two- and three- phase flow. No index. Annotation copyrighted by Book News, Inc., Portland, OR.

Author : Luis Ribeiro e Sousa,Eurípedes Vargas Jr.,M.M. Fernandes,Roberto Azevedo
Publisher : CRC Press
Page : 475 pages
File Size : 55,7 Mb
Release : 2012-05-03
Category : Technology & Engineering
ISBN : 9780203829806

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Innovative Numerical Modelling in Geomechanics by Luis Ribeiro e Sousa,Eurípedes Vargas Jr.,M.M. Fernandes,Roberto Azevedo Pdf

Since the 1990s five books onApplications of Computational Mechanics in Geotechnical Engineering have been published. Innovative Numerical Modelling in Geomechanics is the 6th and final book in this series, and contains papers written by leading experts on computational mechanics. The book treats highly relevant topics in the field of geotechnic