Physics of flow in porous media / Jens Feder, University of Oslo, Eirik Grude Flekkøy, University of Oslo, Alex Hansen, Norwegian University of Science and Technology.

Format:

Book

Author/Creator:

Feder, Jens, author.

Flekkøy, Eriik Grude, author.

Hansen, Alex, 1955- author.

Language:

English

Subjects (All):

Porous materials--Fluid dynamics.

Porous materials.

Physical Description:

1 online resource (xi, 348 pages) : digital, PDF file(s).

Edition:

1st ed.

Place of Publication:

Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.

Summary:

An invaluable reference for graduate students and academic researchers, this book introduces the basic terminology, methods and theory of the physics of flow in porous media. Geometric concepts, such as percolation and fractals, are explained and simple simulations are created, providing readers with both the knowledge and the analytical tools to deal with real experiments. It covers the basic hydrodynamics of porous media and how complexity emerges from it, as well as establishing key connections between hydrodynamics and statistical physics. Covering current concepts and their uses, this book is of interest to applied physicists and computational/theoretical Earth scientists and engineers seeking a rigorous theoretical treatment of this topic. Physics of Flow in Porous Media fills a gap in the literature by providing a physics-based approach to a field that is mostly dominated by engineering approaches.

Contents:

Cover

Half-title

Title page

Copyright information

Contents

Preface

1 Introduction

2 Geometry of Porous Media

2.1 Three-Dimensional Packing of Spheres

2.2 Poisson Porous Media

2.3 Minkowski Functionals

2.4 Visualization of Porous Media

Exercises

3 Fractals

3.1 Box-Counting Dimension

3.2 Mass Dimension

3.3 Measuring the Fractal Dimension with Log-Log Plots

3.4 Disordered Fractals

3.5 Multifractals*

3.6 Self-Affine Surfaces

3.7 Multiaffinity*

4 Percolation

4.1 Statistical Description of Percolation Clusters

4.2 Critical Exponents and Fractal Dimension of Clusters

4.3 Renormalization Group Derivation of ν on the Triangular Lattice

4.4 Invasion Percolation

4.5 Directed Percolation*

4.6 Transport Properties and Multifractality*

Color Plates

5 Laminar Flow in Channels and Pipes

5.1 Laminar Flow in a Channel

5.2 Laminar Flow in a Pipe

5.3 Lubrication*

6 The Hydrodynamic Equations

6.1 The Continuity Equation

6.2 Conservation of Momentum

6.3 The Stress Tensor

6.4 The Navier-Stokes Equation

6.5 Boundary Conditions

6.6 The Reynolds Number and Scaling

6.7 Two Theorems Based on the Steady Euler Equation

6.8 The Stream Function and Moffatt Eddies*

6.9 Stokes Flow Past a Sphere*

7 The Darcy Law

7.1 Derivation of Darcy's law

7.2 Differential Form of Darcy's law

7.3 Model Calculations for the Permeability

7.4 The Capillary Model

7.5 Kozeny Expression for k

7.6 Katz-Thompson Model for Permeability*

7.7 When the Porous Medium Is Rarified: The Brinkman Equation*

7.8 When the Flow Is Rarified: The Klinkenberg Correction*

7.9 Non-Newtonian Flow

8 Dispersion

8.1 Random Walks

8.2 The Central Limit Theorem

8.3 Advection-Diffusion Equation.

8.4 Taylor Dispersion

8.5 Geometric Dispersion*

8.6 First Arrival Times*

9 Capillary Action

9.1 Surface Tension Thermodynamics

9.2 The Young-Laplace Law

9.3 Young's Law

9.4 Capillary Rise

9.5 Bubble Flow in a Capillary

9.6 Funicular Flow in a Capillary

10 The Hele-Shaw Cell and Linear Stability Analysis

10.1 Viscous Fingering and Linear Stability

10.2 Linear Stability Analysis

10.3 Observations of Viscous Fingers*

10.4 The Nonlinear Regime*

10.5 Experiments on Viscous Finger Dynamics*

11 Displacement Patterns in Porous Media

11.1 Flow in Porous Media Dominated by Capillary Forces

11.2 Flow in Porous Media Dominated by Viscous Forces

11.3 Crossover from Capillary to Viscous Behavior

11.4 Displacement under the Effect of Gravity

11.5 Steady State Multiphase Flow*

11.6 Steady-State Flow in the Capillary Fiber Bundle Model*

11.7 Mean Field Theory for Steady-State Immiscible Two-Phase Flow*

12 Continuum Descriptions of Multiphase Flow

12.1 Generalizing the Darcy Law to Two-Phase Flow: The Continuum Limit*

12.2 Relative Permeabilites

12.3 Continuity Equations

12.4 Euler Scaling Theory*

13 Particle Simulations of Multiphase Flows

13.1 Random Walks and the Simulation of the Advection-Diffusion Equation

13.2 Molecular Dynamics Simulations

13.3 Lattice Gas Model for Hydrodynamics

13.4 Lattice Boltzmann Models

Appendix Porosity Distributions

References

Index.

Notes:

Title from publisher's bibliographic system (viewed on 22 Sep 2022).

Includes bibliographical references and index.

ISBN:

1-108-99636-1

1-108-99649-3

1-108-98911-X

OCLC:

1348947827