Book contents
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Stereographic Projection Techniques for Geologists and Civil Engineers
- 1 Geological structures of planar type
- 2 Measuring and recording the orientation of planar structures
- 3 Geological structures of linear type
- 4 Measuring and recording the orientation of lines
- 5 Why do we need projections?
- 6 Idea of stereographic projection
- 7 Approximate method of plotting lines and planes
- 8 Exercises 1
- 9 The stereographic net
- 10 Precise method for plotting planes. Great circles and poles
- 11 Precise methods for plotting lines 1. Where the plunge of the line is known
- 12 Precise methods for plotting lines 2. Where the line is known from its pitch
- 13 The intersection of two planes
- 14 Plane containing two lines
- 15 Apparent dip
- 16 The angle between two lines
- 17 The angle between two planes
- 18 The plane that bisects the angle between two planes
- 19 Projecting a line onto a plane
- 20 Stereographic and equal-area projections
- 21 The polar net
- 22 Analysing folds 1. Cylindricity and plunge of axis
- 23 Analysing folds 2. Inter-limb angle and axial surface
- 24 Analysing folds 3. Style of folding
- 25 Analysing folds 4. The orientation of folds
- 26 Folds and cleavage
- 27 Analysing folds with cleavage
- 28 Faults 1. Calculating net slip
- 29 Faults 2. Estimating stress directions
- 30 Cones/small circles
- 31 Plotting a cone
- 32 Rotations about a horizontal axis
- 33 Example of rotation about a horizontal axis. Restoration of tilt of beds
- 34 Example of rotation. Restoring palaeocurrents
- 35 Rotation about an inclined axis
- 36 Example of rotation about an inclined axis. Borehole data
- 37 Density contouring on stereograms
- 38 Superposed folding 1
- 39 Superposed folding 2. Sub-area concept
- 40 Example of analysis of folds. Bristol area
- 41 Geometrical analysis of folds. Examples from SW England
- 42 Example of analysis of jointing. Glamorgan coast
- 43 Geotechnical applications. Rock slope stability
- 44 Assessing plane failure. Frictional resistance
- 45 Assessing plane failure. Daylighting
- 46 Assessing wedge failure
- 47 Exercises 2
- 48 Solutions to exercises
- Appendix 1 Stereographic (Wulff) equatorial net
- Appendix 2 Equal-area (Lambert/Schmidt) equatorial net
- Appendix 3 Equal-area polar net
- Appendix 4 Kalsbeek counting net
- Appendix 5 Classification chart for fold orientations
- Appendix 6 Some useful formulae
- Appendix 7 Alternative method of plotting planes and lines
- Availability of computer programs for plotting stereograms
- Further reading
- Index
29 - Faults 2. Estimating stress directions
from Stereographic Projection Techniques for Geologists and Civil Engineers
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- Acknowledgements
- Stereographic Projection Techniques for Geologists and Civil Engineers
- 1 Geological structures of planar type
- 2 Measuring and recording the orientation of planar structures
- 3 Geological structures of linear type
- 4 Measuring and recording the orientation of lines
- 5 Why do we need projections?
- 6 Idea of stereographic projection
- 7 Approximate method of plotting lines and planes
- 8 Exercises 1
- 9 The stereographic net
- 10 Precise method for plotting planes. Great circles and poles
- 11 Precise methods for plotting lines 1. Where the plunge of the line is known
- 12 Precise methods for plotting lines 2. Where the line is known from its pitch
- 13 The intersection of two planes
- 14 Plane containing two lines
- 15 Apparent dip
- 16 The angle between two lines
- 17 The angle between two planes
- 18 The plane that bisects the angle between two planes
- 19 Projecting a line onto a plane
- 20 Stereographic and equal-area projections
- 21 The polar net
- 22 Analysing folds 1. Cylindricity and plunge of axis
- 23 Analysing folds 2. Inter-limb angle and axial surface
- 24 Analysing folds 3. Style of folding
- 25 Analysing folds 4. The orientation of folds
- 26 Folds and cleavage
- 27 Analysing folds with cleavage
- 28 Faults 1. Calculating net slip
- 29 Faults 2. Estimating stress directions
- 30 Cones/small circles
- 31 Plotting a cone
- 32 Rotations about a horizontal axis
- 33 Example of rotation about a horizontal axis. Restoration of tilt of beds
- 34 Example of rotation. Restoring palaeocurrents
- 35 Rotation about an inclined axis
- 36 Example of rotation about an inclined axis. Borehole data
- 37 Density contouring on stereograms
- 38 Superposed folding 1
- 39 Superposed folding 2. Sub-area concept
- 40 Example of analysis of folds. Bristol area
- 41 Geometrical analysis of folds. Examples from SW England
- 42 Example of analysis of jointing. Glamorgan coast
- 43 Geotechnical applications. Rock slope stability
- 44 Assessing plane failure. Frictional resistance
- 45 Assessing plane failure. Daylighting
- 46 Assessing wedge failure
- 47 Exercises 2
- 48 Solutions to exercises
- Appendix 1 Stereographic (Wulff) equatorial net
- Appendix 2 Equal-area (Lambert/Schmidt) equatorial net
- Appendix 3 Equal-area polar net
- Appendix 4 Kalsbeek counting net
- Appendix 5 Classification chart for fold orientations
- Appendix 6 Some useful formulae
- Appendix 7 Alternative method of plotting planes and lines
- Availability of computer programs for plotting stereograms
- Further reading
- Index
Summary
Faults represent the response shown by brittle rock to applied stresses. If suitable measurements are taken on faults observed in the field it is possible to estimate the nature of the palaeostresses involved, or at least to place broad limits on the possible orientations of those stresses.
Conjugate pairs of faults
Conjugate faults are broadly contemporaneous faults which formed under similar stress conditions. Known from the results of experimental rock deformation and the deformation of rock analogue materials, such faults are arranged in a symmetrical fashion in relation to the principal axes of the applied stresses (Fig. 29b). Pairs of faults are difficult to designate as conjugate in isolation. The conjugate relationship is established when two sets of faults are present and where members of one set exhibit inconsistent cross-cutting relations with members of the other set, thereby suggesting contemporaneity (Fig. 29a). In addition, the slip direction on each fault belonging to a conjugate pair should be at right angles to the line of intersection of the two faults.
Once recognized, the directions of the principal stresses responsible for the formation of conjugate faults are found as follows.
1 The line of intersection is found by plotting the great circles for each fault plane. The line of intersection is taken as the direction of the intermediate stress axis σ2 (Fig. 29c).
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- Publisher: Cambridge University PressPrint publication year: 2004