Page 9 - Physical Principles of Sedimentary Basin Analysis

Contents

Preface page xiii
Acknowledgments xv
1 Preliminaries 1
1.1 Notation 1
1.2 Further reading 2
2 Properties of porous media 3
2.1 Porosity 3
2.2 The correlation function and specific surface 6
2.3 The penetrable grain model 9
2.4 Darcy’s law 12
2.5 Potential flow and gravity 14
2.6 Permeability as a function of porosity 15
2.7 Empirical permeability relationships 18
2.8 The rotation matrix 20
2.9 Anisotropic permeability 23
2.10 Directional permeability 25
2.11 Average permeability 27
2.12 Fourier’s law and heat conductivity 31
2.13 Further reading 37
3 Linear elasticity and continuum mechanics 38
3.1 Hooke’s law, Young’s modulus and Poisson’s ratio 38
3.2 Bulk modulus 38
3.3 Shear modulus 39
3.4 Strain 40
3.5 Stress 43
3.6 Rotation of stress and strain 46
3.7 Principal stress 47
3.8 Mohr’s circles 51
3.9 Stress ellipsoid 53
3.10 Deviatoric stress 55
3.11 Linear stress–strain relations 56

vii