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Stochastic methods for flow in porous media : coping with uncertainties
Title:
Stochastic methods for flow in porous media : coping with uncertainties
Author:
Zhang, Dongxiao, 1967-
ISBN:
9780080517773
9781281026118
9786611026110
Personal Author:
Publication Information:
San Diego, Calif. : Academic, 2002.
Physical Description:
1 online resource (xiv, 350 pages) : illustrations
Contents:
Front Cover; Stochastic Methods for Flow in Porous Media; Copyright Page; Contents; Foreword; Preface; Chapter 1. Introduction; 1.1 Stochastic Partial Differential Equations; 1.2 Saturated Flow with Random Forcing Terms; 1.3 Saturated Flow with Random Boundary Conditions; 1.4 Saturated Flow with Random Coefficients; 1.5 Unsaturated Flow in Random Media; 1.6 Scope of the Book; 1.7 Exercises; Chapter 2. Stochastic Variables and Processes; 2.1 Real Random Variables; 2.2 Jointly Distributed Random Variables; 2.3 Stochastic Processes and Random Fields; 2.4 Some Mathematical Tools; 2.5 Exercises
Chapter 3. Steady-State Saturated Flow3.1 Introduction; 3.2 Perturbative Expansion Method; 3.3 Green's Function Method; 3.4 Numerical Solutions to the Moment Equations; 3.5 Analytical Solutions to the Moment Equations; 3.6 Spectral methods; 3.7 Higher-Order Corrections; 3.8 Space-State Method; 3.9 Adomian Decomposition; 3.10 Closure Approximations; 3.11 Monte Carlo Simulation Method; 3.12 Some Remarks; 3.13 Exercises; Chapter 4. Transient Saturated Flow; 4.1 Introduction; 4.2 Moment Partial Differential Equations; 4.3 Moment Integrodifferential Equations; 4.4 Some Remarks; 4.5 Exercises
Chapter 5. Unsaturated Flow5.1 Introduction; 5.2 Spatially Nonstationary Flow; 5.3 Gravity-Dominated Flow; 5.4 Kirchhoff Transformation; 5.5 Transient Flow in Nonstationary Media; 5.6 Exercises; Chapter 6. Two-Phase Flow; 6.1 Introduction; 6.2 Buckley-Leverett Displacement; 6.3 Lagrangian Approach; 6.4 Eulerian Approach; 6.5 Exercises; Chapter 7. Flow in Fractured Porous Media; 7.1 Introduction; 7.2 Saturated Flow; 7.3 Unsaturated Flow; 7.4 Exercises; References; Index; Color Plate Section
Abstract:
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. * As never seen before: * 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.
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Electronic Access:
ScienceDirect http://www.sciencedirect.com/science/book/9780127796215Available:*
Shelf Number | Item Barcode | Shelf Location | Status |
|---|---|---|---|
| TA418.9 .P6 Z44 2002 EB | 1184989-1001 | Elsevier E-Book Collections | Searching... |
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