| Description |
1 online resource (xiv, 350 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Summary |
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. |
| 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 |
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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 |
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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 |
| Language |
English. |
| Subject |
Porous materials -- Fluid dynamics.
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Stochastic processes.
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Groundwater flow.
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Stochastic Processes |
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Processus stochastiques.
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Eau souterraine -- Écoulement.
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SCIENCE -- Earth Sciences -- Limnology.
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SCIENCE -- Earth Sciences -- Hydrology.
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Groundwater flow
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Porous materials -- Fluid dynamics
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Stochastic processes
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| Other Form: |
Print version: Zhang, Dongxiao, 1967- Stochastic methods for flow in porous media. San Diego, Calif. : Academic, 2002 0127796215 9780127796215 (DLC) 2001089406 (OCoLC)47901419 |
| ISBN |
9780080517773 (electronic bk.) |
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0080517773 (electronic bk.) |
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1281026115 |
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9781281026118 |
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9786611026110 |
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6611026118 |
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0127796215 |
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9780127796215 |
| Standard No. |
AU@ 000048131163 |
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AU@ 000051555151 |
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AU@ 000054162875 |
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DEBBG BV039831688 |
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DEBBG BV042309102 |
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DEBBG BV043044494 |
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DEBSZ 367772140 |
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DEBSZ 422194506 |
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GBVCP 802338720 |
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NZ1 12434086 |
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UKMGB 017582703 |
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AU@ 000075310787 |
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