Structural Geology Techniques

Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay
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Mathematical Notes

Useful Geometrical Facts
Trigonometry Refresher
Calculus in Case You Forgot
Rotations in Three Dimensions
Best Fits to Lines, Great Circles and Small Circles
Formulas for Circles and Spheres
Constructing Ellipses

Descriptive Geometry

Descriptive Geometry: Planes

Plot Structure Contours, Given Strike And Dip
Find Strike And Dip, Given Structure Contours
Plot Structure Contours, Given Three Points
Find Strike And Dip, Given Three Points
Use of Folded And Combined Constructions
Find Strike And Dip Given Structure Contour And One Other Point
Find Strike And Dip From Topographic Data
Structure Contours on Non-planar Surfaces

Descriptive Geometry: Lines

Plot Map Trace And Elevation, Given Trend And Plunge
Find Trend And Plunge, Given Map Trace And Elevation
Find Intersection of Two Planes
Find Apparent Dip of a Plane

Descriptive Geometry: Relations Between Lines And Planes

Find a Plane Containing Two Given Lines
Find True Attitude Given Two Apparent Dips
Find Intersection of Three Planes
Find Intersection of a Line And a Plane
Find Trend And Plunge, Given Pitch
Find Pitch, Given Attitude Data
Find Intersection of Two Non-planar Surfaces

Descriptive Geometry: Simple Geologic Structures

Fault Offset: Subcrop of Offset Beds
Fault Offset and Displacement
Fold Axis: Limb Intersections
Fold Axis: Bedding And Cleavage
Vertical Boreholes
Inclined Boreholes
Find True Thickness from Map Data
Interpret Geologic Structures From Map Data
Construct Simple Cross-section from Map Data

Intersections of Structures With Topography

Intersections of Structure and Topography: Overview
Contour Topographic Data
Find Intersection of a Plane And a Simple Slope
Find Intersection of a Plane And a Ridge or Valley
Find Outcrop Pattern of Gently-dipping Plane
Find Outcrop Pattern in Area of Complex Topography
Find Outcrop Patterns Involving Inliers or Outliers
Find Outcrop Patterns of Thick Rock Bodies
Find Outcrop Patterns Involving Simple Faults
Find Outcrop Patterns Involving Simple Folds
Find Intersection of a Line With Topography
Find Intersection of a Non-planar Surface With Topography

Stereonet Techniques

About Spherical Projections
Constructing The Stereographic Projection
How Spherical Projections are Used
Plotting Structures on the Opposite Side of the Sphere

Stereonet Techniques: Planes

Plot a Plane, Given Strike And Dip
Find Strike And Dip of Plotted Plane

Stereonet Techniques: Lines

Plot a Line, Given Trend And Plunge
Find Trend And Plunge of a Plotted Line
Find Intersection of Two Planes
Find Apparent Dip of a Plane
Plot a Small Circle Given Its Center And Radius

Stereonet Techniques: Relations Between Lines And Planes

Find Angle Between Two Lines
Find a Plane Containing Two Given Lines
Find True Attitude Given Two Apparent Dips
Find Trend And Plunge, Given Pitch
Find Pitch, Given Attitude Data
Find the Strike and Dip of a Plane from Borehole Data

Stereonet Techniques: Constructions Using Poles to Planes

Plot the Pole to a Plane, Given Strike And Dip
Find Strike And Dip of Plane, Given its Pole
Find Intersection of Two Planes
Find Angle Between Two Planes
Find Angle Between a Plane And a Line
Find a Plane Containing Two Given Lines
Find True Attitude Given Two Apparent Dips

Rotations on The Stereonet

Rotate Around a Vertical Axis
Rotate Around Horizontal Axis
Rotate Around an Arbitrary Axis (Vertical Method)
Rotate Around an Arbitrary Axis (Horizontal Method)
Rotations Beyond The Primitive Circle

Constructing Stereonets

Construct a Polar Stereonet
Construct an Equatorial Stereonet
Construct an Oblique Stereonet

Simple Structural Analysis on the Stereonet

Bedding-cleavage Intersection
Beta Diagrams
Pi Diagrams
Linear Structures And Fold Axes

Contouring Stereonet Data

Overlapping Circle Method
Moving Window Method
Kalsbeek Net
Contouring Methods Compared
Construct a Kalsbeek Net

Geometrical Analysis of Folds

Interlimb Angles And Fold Shape
Fold Asymmetry
Complete Analysis of Folds
Conical Structures

Stress And Strain

The Mohr Circle
Plot Real-World Stress Data on a Mohr Circle
Convert Stress from Mohr Circle to Real-World
Failure Envelopes
Mohr Circles in Three Dimensions
Mohr Circles and Conic Sections
Mohr Circles and Finite Strain
Mohr Circles and Infinitesimal Strain

Analysis of Complex Structures

Construct a Fold Cross-Section Using the Arc (Busk) Method
Construct a Fold Cross-Section Using the Kink Method
Construct a Fold Cross-Section Using the Similar-Fold Method
Construct a Down-Plunge Profile

Access Crustal Movements Notes Index
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Created 28 December 1998, Last Update 20 June 2005
Not an official UW Green Bay site