stochastic methods for flow in porous media coping with uncertainties

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Stochastic Methods For Flow In Porous Media

Author : Dongxiao Zhang
ISBN : 0080517773
Genre : Science
File Size : 29. 95 MB
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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

Author : Malay K. Das
ISBN : 9783319698663
Genre : Technology & Engineering
File Size : 44. 44 MB
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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.

Modelling Water Flow In Unsaturated Porous Media

Author : Adam Szymkiewicz
ISBN : 9783642235580
Genre : Science
File Size : 79. 2 MB
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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.

Calibration And Reliability In Groundwater Modelling

Author : Marc F. P. Bierkens
ISBN : 1901502589
Genre : Technology & Engineering
File Size : 47. 76 MB
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Great advances have been made in assessment of uncertainty of groundwater model outputs and how to decrease this uncertainty. However, the last step of the triplet uncertainty assessment, uncertainty reduction, uncertainty management has not yet been properly made. In practice, policy makers still find it hard to cope with model predictions that have been enriched with measures of quantified uncertainty. Several contributions deal with decision making under uncertainty. Considerable progress is reported in the science of determining stochastic well head protection zones and another noticeable advance is the combined modelling and uscaling of spatially heterogeneous hydraulic and geochemical parameters. Further progress in the calibration of groundwater modelling is evident from the use of model reduction techniques in order to calibrate models with millions of grid nodes and the use of remote sensing data.

Stochastic Modeling Of Complex Nonstationary Groundwater Flow Systems

Author : Chuen-Fa Ni
ISBN : MSU:31293027369853
Genre : Aquifers
File Size : 74. 31 MB
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The Handbook Of Groundwater Engineering

Author : Jacques Willy Delleur
ISBN : UOM:39015067703853
Genre : Groundwater
File Size : 84. 83 MB
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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.

Siam Journal On Scientific Computing

Author :
ISBN : UVA:X006170534
Genre : Electronic journals
File Size : 81. 88 MB
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Author : Alexander Peters
ISBN : UOM:39015055716057
Genre : Hydrology
File Size : 88. 14 MB
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Groundwater Quality Modeling And Management Under Uncertainty

Author : Srikanta Mishra
ISBN : 0784406960
Genre : Technology & Engineering
File Size : 76. 18 MB
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A June 2003 symposium held in Philadelphia dealt with recent research and practice in uncertainty in groundwater modeling and management problems. Thirty papers from the conference are organized in sections on Monte Carlo simulation and its variants, geostatistical modeling and approaches, groundwater management under uncertainty, and uncertainty p

The Probability Density Function To The Random Linear Transport Equation

Author : L.T. Santos
ISBN : UOM:39015082511091
Genre :
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