Stochastic Methods for Flow in Porous Media: Coping with Uncertainties - Hardcover

Zhang, Dongxiao

9780127796215: Stochastic Methods for Flow in Porous Media: Coping with Uncertainties

Hardcover

ISBN 10: 0127796215 ISBN 13: 9780127796215

Publisher: Academic Press, 2001

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

"synopsis" may belong to another edition of this title.

Review:

"...presents a comprehensive treatment of stochastic methods for water flow in saturated aquifers and unsaturated soils in a very tutorial and accessible way." --VADOSE ZONE JOURNAL, 2006 Excerpt from the Foreword by Prof. Shlomo P. Neuman: "The hydrogeologic properties of natural rocks and soils exhibit spatial variations on a multiplicity of scales. Incorporating such scaling in geostatistical and stochastic analyses of hydrogeologic phenomena has become a major challenge. ...Students, teachers, researchers and practitioners concerned with hydrogeologic uncertainty analysis will find much in this book that is instructive, useful and timely." --Prof. Shlomo P. Neuman

"Dongxiao has clearly put together an excellent intermediate/advanced text on subsurface flow problems, and I highly recommend it as a graduate level text and as a source of information for the researcher and consultant." --PURE AND APPLIED GEOPHYSICS

"...a comprehensive and lucid scientific monograph devoted to uncertainty analysis for a wide range of groundwater flow problems." --JOURNAL OF HYDRAULIC RESEARCH

"This work considers numerous stochastic methods used by researchers for flow description. The methods' positive and negative characteristics are compared and selected methods are shown in examples. ...includes problems at the end of each chapter, making it useful for students and teachers in the field, as well as researchers and practitioners." --BULLETIN AMERICAN METEOROLOGICAL SOCIETY

From the Back Cover:

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 for describing flow in complex porous media under uncertainties. Amongst the methods discussed are perturbative expansions, Green's function method, spectral methods, adjoint state method, Adomian decomposition, and closure approximations. The potential and limitations are discussed for each method, and solution techniques and illustrative examples are presented for some selected ones.

Features:

* Surveys a broad range of stochastic methods used by researchers in the community
* Introduces the various methods in a tutorial way
* Presents methodologies for spatially and temporally stationary as well as nonstationary flows
* Covers a wide variety of flows, from steady state to transient flow, from saturated, unsaturated to two-phase flow, and from nonfractured to fractured porous flow
* Compiles a number of well known results and useful formulae
* Includes exercises at the end of each chapter|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 for describing flow in complex porous media under uncertainties. Amongst the methods discussed are perturbative expansions, Green's function method, spectral methods, adjoint state method, Adomian decomposition, and closure approximations. The potential and limitations are discussed for each method, and solution techniques and illustrative examples are presented for some selected ones.

Features:

* Surveys a broad range of stochastic methods used by researchers in the community
* Introduces the various methods in a tutorial way
* Presents methodologies for spatially and temporally stationary as well as nonstationary flows
* Covers a wide variety of flows, from steady state to transient flow, from saturated, unsaturated to two-phase flow, and from nonfractured to fractured porous flow
* Compiles a number of well known results and useful formulae
* Includes exercises at the end of each chapter

"About this title" may belong to another edition of this title.