Rock Anisotropy and the Theory of Stress Measurements

1: Introduction.- 2: Deformability of Anisotropic Rocks.- 2.1 Introduction.- 2.2 Constitutive Relations.- 2.3 Testing of Anisotropic Rocks.- 3: Strength of Anisotropic Rocks.- 3.1 Introduction.- 3.2 Experimental Observations.- 3.3 Analytical Models.- 4: Elastic Equilibrium of an Anisotropic Homogeneous Body Bounded Internally by a Cylindrical Surface of Arbitrary Cross Section.- 4.1 Introduction.- 4.2 Geometry and Definition of the Problem.- 4.3 Formulation of the Problem.- 4.4 Special Case of Anisotropy: A Plane of Elastic Symmetry Perpendicular to the Hole Axis.- 4.5 Plane Strain and Plane Stress Formulations.- 4.6 Particular Solution for an Infinite Cylinder with a Circular Cross Section.- 5: Elastic Equilibrium of an Anisotropic Homogeneous Body Bounded Internally by an Isotropic Inclusion of Circular Cross Section.- 5.1 Introduction.- 5.2 Geometry and Definition of the Problem.- 5.3 Formulation of Problem (A).- 5.4 Formulation of Problem (B).- 5.5 Condition of Continuity.- 5.6 Closed Form Solutions.- 5.7 Remarks.- 5.8 Numerical Examples.- 6: Influence of Rock Anisotropy on Stress Measurements by Overcoring Techniques.- 6.1 Introduction.- 6.2 In Situ Determination of Stress by Relief Techniques.- 6.3 Information Obtained from Measuring Techniques.- 6.4 General Formulas for Overcoring and Undercoring Techniques.- 6.5 General Results for Overcoring in Anisotropic Media.- 7: Summary and Conclusions.- References.- Appendix 2.1.- Appendix 4.1.- Appendix 4.2.- Appendix 4.3.- Appendix 4.4.- Appendix 4.5.- Appendix 4.6.- Appendix 4.7.- Appendix 4.8.- Appendix 5.1.- Appendix 5.2.- Appendix 5.3.- Appendix 5.4.- Appendix 6.1.- Appendix 6.2: Program Berni 1.- Appendix 6.3: Program Berni 2.- Appendix 6.4: Program Berni 3.- Appendix 6.5: Program listings.