Adler / Brenner Porous Media

Geometry and Transports
1. Auflage 2013
ISBN: 978-1-4832-9231-1
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 560 Seiten, Web PDF

The goal of 'Porous Media: Geometry and Transports' is to provide the basis of a rational and modern approach to porous media. This book emphasizes several geometrical structures (spatially periodic, fractal, and random to reconstructed) and the three major single-phase transports (diffusion, convection, and Taylor dispersion).'Porous Media' serves various purposes. For students it introduces basic information on structure and transports. Engineers will find this book useful as a readily accessible assemblage of al the major experimental results pertaining to single-phase transports in porous media. For scientists it presents the latest developments in the field, some of which have never before been published.

Autoren/Hrsg.

Adler, Pierre

Brenner, Howard

Inhaltsverzeichnis

1;Front Cover;1
2;Porous Media: Geometry and Transports;6
3;Copyright Page;7
4;Table of Contents;8
5;Dedication;7
6;Preface;16
7;Chapter 1. Introduction;18
7.1;1.1 Definition and Purpose;18
7.2;1.2 General Review;19
7.3;1.3 Outline of the Book;22
7.4;References;25
8;Chapter 2. The Geometry of Porous Media;26
8.1;2.1 Introduction;26
8.2;2.2 Illustrative Examples of Porous Media;27
8.3;2.3 General Concepts;35
8.4;2.4 Major Structures and Models;46
8.5;2.5 Spatially Periodic Structures;47
8.6;2.6 Fractal Structures;52
8.7;2.7 Random Structures;56
8.8;2.8 Composite Structures;63
8.9;2.9 Reconstructed Porous Media;67
8.10;2.10 Formation and Structures of Some Geological Porous Media;69
8.11;References;70
9;Chapter 3. Transports in Porous Media;72
9.1;3.1 General;72
9.2;3.2 The Diffusion Equation;75
9.3;3.3 Equations for Fluid Motions;79
9.4;3.4 Convection-Diffusion Equation;89
9.5;3.5 Other Transports;91
9.6;3.6 General Problems of Transports in Porous Media;91
9.7;3.7 Resolution of Field Equations;94
9.8;References;97
10;Chapter 4. Spatially Periodic Structures;100
10.1;Section 4.A General Concepts;101
10.1.1;4.1 Characteristic Length Scales;101
10.1.2;4.2 Geometry of Spatially Periodic Media;103
10.1.3;4.3 Spatially Periodic Functions;113
10.2;Section 4.B Diffusion in Spatially Periodic Structures;121
10.2.1;4.4 Diffusion in an Infinite Spatially Periodic Medium;121
10.2.2;4.5 Diffusion by Asymptotic Analysis;138
10.2.3;4.6 Determination of the Macroscopic Diffusion Tensor;145
10.3;Section 4.C Flow in Spatially Periodic Structures;161
10.3.1;4.7 Stokes Flow in an Infinite Spatially Periodic Medium;161
10.3.2;4.8 Determination of the Permeability Tensor;175
10.3.3;4.9 Extension to Inertial Flows and Non-Newtonian Fluids;192
10.3.4;Section 4.D Taylor Dispersion in Spatially Periodic Structures;203
10.3.5;4.10 Taylor Dispersion by the Method of Moments;203
10.3.6;4.11 Taylor Dispersion by Asymptotic Analysis;223
10.4;Section 4.E Spatially Periodic Capillary Networks;235
10.4.1;4.12 Capillary Networks;235
10.4.2;4.13 Stokes Flow in Spatially Periodic Capillary Networks;247
10.4.3;4.14 Taylor Dispersion in Spatially Periodic Capillary Networks;255
10.5;References;264
11;Chapter 5. Deterministic Fractal Structures;270
11.1;Section 5.A General Concepts;270
11.1.1;5.1 Geometry of Fractals Sets;270
11.1.2;5.2 Examples of Fractals and Measurements of the Fractal Dimension;277
11.1.3;5.3 Mathematics of Fractals;286
11.1.4;5.4 Transports in Fractals;293
11.2;Section 5.B Fractal Capillary Networks;300
11.2.1;5.5 Convection and Conduction of Fractal Networks;300
11.2.2;5.6 Diffusion in Fractal Networks;326
11.2.3;5.7 Taylor Dispersion in Fractal Networks;333
11.2.4;5.8 Conduction and Convection in Apollonian Packings;343
11.2.5;Section 5.C Continuous Deterministic Fractals;358
11.2.6;5.9 Conduction in Continuous Deterministic Fractals;358
11.2.7;5.10 Convection in Continuous Deterministic Fractals;368
11.2.8;5.11 Taylor Dispersion in Continuous Deterministic Fractals;381
11.3;References;387
12;Chapter 6. Random Structures;392
12.1;Section 6.A General Concepts;392
12.1.1;6.1 Introduction;392
12.1.2;6.2 Geometry of Site and Bond Percolation;393
12.2;Section 6.B Random Networks;419
12.2.1;6.3 Conduction of Random Networks;419
12.2.2;6.4 Convection in Random Networks;441
12.2.3;6.5 Taylor Dispersion in Random Networks;445
12.3;Section 6.C Random Continua;451
12.3.1;6.6 Conduction in Random Continua;451
12.3.2;6.7 Convection in Random Continua;476
12.3.3;6.8 Taylor Dispersion in Random Continua;500
12.4;References;512
13;Chapter 7. Reconstructed Porous Media;520
13.1;7.1 Introduction;520
13.2;7.2 Reconstruction of Porous Media;522
13.3;7.3 Application;531
13.4;7.4 The Permeability of Reconstructed Porous Media;542
13.5;7.5 Formation Factor of Reconstructed Porous Media;551
13.6;References;554
14;Index;556