Robert W. Zimmerman, Adriana Paluszny

Fluid Flow in Fractured Rocks

• Gebundenes Buch

Produktbeschreibung

FLUID FLOW IN FRACTURED ROCKS

"The definitive treatise on the subject for many years to come"
--Prof. Ruben Juanes, MIT

Authoritative textbook that provides a comprehensive and up-to-date introduction to fluid flow in fractured rocks

Fluid Flow in Fractured Rocks provides an authoritative introduction to the topic of fluid flow through single rock fractures and fractured rock masses.

This book is intended for readers with interests in hydrogeology, hydrology, water resources, structural geology, reservoir engineering, underground waste disposal, or other fields that involve the flow of fluids through fractured rock masses. Classical and established models and data are presented and carefully explained, and recent computational methodologies and results are also covered. Each chapter includes numerous graphs, schematic diagrams and field photographs, an extensive reference list, and a set of problems, thus providing a comprehensive learning experience that is both mathematically rigorous and accessible.

Written by two internationally recognized leaders in the field, Fluid Flow in Fractured Rocks includes information on:
_ Nucleation and growth of fractures in rock, with a multiscale characterization of their geometric traits
_ Effect of normal and shear stresses on the transmissivity of a rock fracture and mathematics of fluid flow through a single rock fracture
_ Solute transport in rocks, with quantitative descriptions of advection, molecular diffusion, and dispersion

Fluid Flow in Fractured Rocks is an essential resource for researchers and postgraduate students who are interested in the field of fluid flow through fractured rocks. The text is also highly suitable for professionals working in civil, environmental, and petroleum engineering.

Produktdetails

• Verlag: Wiley & Sons / Wiley-Blackwell
• Artikelnr. des Verlages: 1W119248010
• 1. Auflage
• Seitenzahl: 288
• Erscheinungstermin: 2. Februar 2024
• Englisch
• Abmessung: 248mm x 175mm x 21mm
• Gewicht: 652g
• ISBN-13: 9781119248019
• ISBN-10: 1119248019
• Artikelnr.: 67644083

Autorenporträt

Robert W. Zimmerman is Professor of Rock Mechanics at Imperial College London. He is the co-author, with J.C. Jaeger and N.G.W. Cook, of the authoritative monograph Fundamentals of Rock Mechanics (4th ed., Wiley, 2007). Adriana Paluszny is Reader in Computational Geomechanics, and Royal Society University Research Fellow, at Imperial College London. She was the inaugural recipient, in 2018, of the Chin-Fu Tsang Award for Coupled Processes in Fractured Rocks.

Inhaltsangabe

Preface ix

Author Biographies xi

About the Companion Website xiii

1 Genesis and Morphology of Fractures in Rock 1

1.1 What Are Fractures, and Why Are They Important? 1

1.2 Formation of Fractures in Rock 2

1.3 Morphology of Single Fractures 5

1.4 Morphology of Fracture Networks 14

2 Fluid Flow in a Single Fracture 27

2.1 Introduction 27

2.2 The Navier-Stokes Equations and the Cubic Law 28

2.3 The Stokes Equations 32

2.4 The Reynolds Lubrication Equation 36

2.5 Effect of Contact Area 41

2.6 Accuracy of the Lubrication Model 43

2.7 Fracture in a Permeable Matrix 46

2.8 Fracture Filled with Porous or Granular Material 49

3 Effect of Stress on Fracture Transmissivity 57

3.1 Introduction 57

3.2 The Effect of Normal Stress on Fracture Deformation 58

3.3 Models for the Normal Stiffness of Rock Fractures 60

3.4 "Row of Elliptical Voids" Model for Fracture Transmissivity 63

3.5 Relation Between Transmissivity and Mean Aperture During Normal Compression 68

3.6 Effect of Shear Deformation on Fracture Transmissivity 70

4 Fluid Flow Through Fractures at Moderate to High Reynolds Numbers 75

4.1 Introduction 75

4.2 Approximate Analytical Solution for a Sinusoidal Fracture Aperture 76

4.3 Weak Inertia Regime and Forchheimer Regime 77

4.4 Verification of theWeak Inertia and Forchheimer Regimes 80

4.5 Experimental Data on Fluid Flow at Moderate to High Reynolds Numbers 84

4.6 Flow of Compressible Gases Through Fractures 85

5 Thermo-Hydro-Chemical-Mechanical Effects on Fracture Transmissivity 91

5.1 Introduction 91

5.2 Fracture Contact 92

5.3 Pressure Dissolution 94

5.4 Diffusion Rates 97

5.5 Solute Precipitation 98

5.6 Aperture Changes 99

5.7 Relationship Between Aperture, Contact Fraction, and Transmissivity 101

5.8 Numerical Simulations of Pressure Solution 103

5.9 Lehner-Leroy Model for Pressure Dissolution 104

5.10 Bernabé-Evans Model for Pressure Dissolution 106

5.11 Dissolution and Precipitation in Open and Closed Systems 109

6 Solute Transport in a Single Fracture 113

6.1 Introduction 113

6.2 Advection-Diffusion Equation 114

6.3 Taylor-Aris Problem in a Uniform Channel 118

6.4 Influence of Fracture Morphology on Solute Transport 121

6.5 Non-Fickian Transport in Rock Fractures 123

6.6 Influence of Adsorption, Matrix Diffusion, and Radioactive Decay 126

7 Analytical Models for the Permeability of a Fractured Rock Mass 133

7.1 Introduction 133

7.2 Snow's Model of Planar Fractures of Infinite Extent in an Impermeable Matrix 134

7.3 Upper and Lower Bounds on the Effective Permeability 136

7.4 Spheroidal Inclusion Model of a Fractured Rock Mass 137

7.5 Effective Permeability in the Regime (alpha/kappa much less than) 140

7.6 Effective Permeability in the Regime (alpha/kappa much greater than) 142

7.7 Semi-empirical Model of Mourzenko et al. 144

8 Fluid Flow in Geologically Realistic Fracture Networks 149

8.1 Introduction 149

8.2 Stochastically Generated Fracture Networks 150

8.3 Geomechanically Generated Fracture Networks 152

8.4 Intersections and Connectivity in Fracture Networks 155

8.5 Fracture Apertures in Discrete Fracture Networks 156

8.6 Numerical Computation of Fractured Rock Mass Permeability 159

8.7 Effect

Rezensionen

"Fractures are ubiquitous in geologic formations, and they are often the key determinants of fluid flow and transport in the subsurface, controlling processes that are critical in environmental flows and in the energy transition, such as geothermal energy extraction, in situ mining of metals and minerals, and migration of radionuclides from geological nuclear waste disposal facilities. Despite their fundamental role in subsurface technologies, modeling fluid flow in fractured rocks is notoriously challenging because of their multiscale (fractal) nature, and the complex behavior that emerges from their interconnected network structure. In this book, world-leading experts Zimmerman and Paluszny present a didactive and insightful synthesis of the physics, mathematics, and computational modeling of fluid flow in fractured rock, that is destined to become the definitive treatise on the subject for many years to come."

(Ruben Juanes, Professor of Civil and Environmental Engineering, MIT, Cambridge, USA)