Stochastic methods for flow in porous media :: coping with uncertainties /
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 t...
Gespeichert in:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
San Diego, Calif. :
Academic,
2002.
|
| Schlagworte: | |
| Online-Zugang: | Volltext Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xiv, 350 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9780080517773 0080517773 1281026115 9781281026118 9786611026110 6611026118 |
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| 245 | 1 | 0 | |a Stochastic methods for flow in porous media : |b coping with uncertainties / |c Dongxiao Zhang. |
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| 520 | |a 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. | ||
| 505 | 0 | |a 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 | |
| 505 | 8 | |a 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 | |
| 505 | 8 | |a 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 | |
| 546 | |a English. | ||
| 650 | 0 | |a Porous materials |x Fluid dynamics. | |
| 650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181 | |
| 650 | 0 | |a Groundwater flow. |0 http://id.loc.gov/authorities/subjects/sh85057469 | |
| 650 | 2 | |a Stochastic Processes |0 https://id.nlm.nih.gov/mesh/D013269 | |
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| 650 | 7 | |a Stochastic processes |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Zhang, Dongxiao, 1967- |t Stochastic methods for flow in porous media. |d San Diego, Calif. : Academic, 2002 |z 0127796215 |z 9780127796215 |w (DLC) 2001089406 |w (OCoLC)47901419 |
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| author | Zhang, Dongxiao, 1967- |
| author_GND | http://id.loc.gov/authorities/names/n00003453 |
| author_facet | Zhang, Dongxiao, 1967- |
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| 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 |
| ctrlnum | (OCoLC)171287792 |
| dewey-full | 551.48 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 551 - Geology, hydrology, meteorology |
| dewey-raw | 551.48 |
| dewey-search | 551.48 |
| dewey-sort | 3551.48 |
| dewey-tens | 550 - Earth sciences |
| discipline | Geologie / Paläontologie |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn171287792 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:16:08Z |
| institution | BVB |
| isbn | 9780080517773 0080517773 1281026115 9781281026118 9786611026110 6611026118 |
| language | English |
| oclc_num | 171287792 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xiv, 350 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Academic, |
| record_format | marc |
| spelling | Zhang, Dongxiao, 1967- https://id.oclc.org/worldcat/entity/E39PCjFDBmM3BdRPCXhT44bVBX http://id.loc.gov/authorities/names/n00003453 Stochastic methods for flow in porous media : coping with uncertainties / Dongxiao Zhang. San Diego, Calif. : Academic, 2002. 1 online resource (xiv, 350 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 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. 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 English. Porous materials Fluid dynamics. Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Groundwater flow. http://id.loc.gov/authorities/subjects/sh85057469 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Processus stochastiques. Eau souterraine Écoulement. SCIENCE Earth Sciences Limnology. bisacsh SCIENCE Earth Sciences Hydrology. bisacsh Groundwater flow fast Porous materials Fluid dynamics fast Stochastic processes fast Print version: Zhang, Dongxiao, 1967- Stochastic methods for flow in porous media. San Diego, Calif. : Academic, 2002 0127796215 9780127796215 (DLC) 2001089406 (OCoLC)47901419 FWS01 ZDB-4-EBA FWS_PDA_EBA https://www.sciencedirect.com/science/book/9780127796215 Volltext FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=199017 Volltext |
| spellingShingle | Zhang, Dongxiao, 1967- Stochastic methods for flow in porous media : coping with uncertainties / 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 Porous materials Fluid dynamics. Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Groundwater flow. http://id.loc.gov/authorities/subjects/sh85057469 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Processus stochastiques. Eau souterraine Écoulement. SCIENCE Earth Sciences Limnology. bisacsh SCIENCE Earth Sciences Hydrology. bisacsh Groundwater flow fast Porous materials Fluid dynamics fast Stochastic processes fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85128181 http://id.loc.gov/authorities/subjects/sh85057469 https://id.nlm.nih.gov/mesh/D013269 |
| title | Stochastic methods for flow in porous media : coping with uncertainties / |
| title_auth | Stochastic methods for flow in porous media : coping with uncertainties / |
| title_exact_search | Stochastic methods for flow in porous media : coping with uncertainties / |
| title_full | Stochastic methods for flow in porous media : coping with uncertainties / Dongxiao Zhang. |
| title_fullStr | Stochastic methods for flow in porous media : coping with uncertainties / Dongxiao Zhang. |
| title_full_unstemmed | Stochastic methods for flow in porous media : coping with uncertainties / Dongxiao Zhang. |
| title_short | Stochastic methods for flow in porous media : |
| title_sort | stochastic methods for flow in porous media coping with uncertainties |
| title_sub | coping with uncertainties / |
| topic | Porous materials Fluid dynamics. Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Groundwater flow. http://id.loc.gov/authorities/subjects/sh85057469 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Processus stochastiques. Eau souterraine Écoulement. SCIENCE Earth Sciences Limnology. bisacsh SCIENCE Earth Sciences Hydrology. bisacsh Groundwater flow fast Porous materials Fluid dynamics fast Stochastic processes fast |
| topic_facet | Porous materials Fluid dynamics. Stochastic processes. Groundwater flow. Stochastic Processes Processus stochastiques. Eau souterraine Écoulement. SCIENCE Earth Sciences Limnology. SCIENCE Earth Sciences Hydrology. Groundwater flow Porous materials Fluid dynamics Stochastic processes |
| url | https://www.sciencedirect.com/science/book/9780127796215 https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=199017 |
| work_keys_str_mv | AT zhangdongxiao stochasticmethodsforflowinporousmediacopingwithuncertainties |