GR-Tu4-Stereonet

GR-Tu4-Stereonet - CIVL2002 Engineering Geology and Rock...

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CIVL2002 Engineering Geology and Rock Mechanics Stereographic Projection of Planes and Lines Tutorial Q4 Task No.a Planes Task No.b Lines Task No.c Intersection line of two planes Task No.d Apparent dip angles of a joint on a rock plane surface Task No.e Pole of a plane on stereonet Task No.a Stereographic Projection of Planes Polar stereographic projection E 90 W 270 N S Longitude 40 Latitude 40 Longitude 320 Polar stereographic projection E 90 W 270 ϕ from 0 to 360 N S θ from 0 to 90 from 0 to 90 0 90 0 We need A stereographic projection net (stereonet) and A transparent sheet How to do the stereographic projection of a plane? Example A plane with dip direction and dip 210/50 Fix the centre of the transpar ent sheet with the centre of the stereonet sheet. Plane 210/50 Step 1
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Step 2 Plane 210/50 Plot the great circle for the dip angle θ = 50 on the transparent sheet above the stereonet. 50 0 Step 3 Plane 210/50 Mark the point A at the edge circle on the transparent sheet above the stereonet. 50 0 A Step 4 Plane 210/50 Rotate the the transparent sheet about the fixed common centre above the stereonet so that the point A is at the longitude 210. 50 0 A Step 4 Plane 210/50 Rotate the the transparent sheet about the fixed common centre above the stereonet so that the point A is at the longitude 210. 5 0 A Step 5 Plane 210/50 We then obtain the great circle of the stereograph ic projection of the plane θ = ϕ = 210 0 N W S E Step 6 Plane 210/50 We then remove the stereonet and obtain the great circle of the stereographic projection of the plane on the transparent sheet ϕ = 210 0 N W S E
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Task No.b Stereographic Projection of Lines Definition of the Orientation of A Line North (N) East (E) South (S) West (W) Depth (z) A Straight Line A Rock Mass Block O P Q θ ϕ A view on the horizontal plane for the angle of longitude of the straight line North (N) East (E) South (S) West (W) O P Depth (z) A Straight Line Q P O A view on the vertical plane for the dip angle of the line to the horizontal plane (angle of latitude) α R Line Sphere Stereographic Projection of a line 1. The point P is the pole 2. We can obtain the point A where the line intersects the
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This note was uploaded on 12/04/2010 for the course CIVL 2002 taught by Professor Drque during the Spring '10 term at HKU.

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GR-Tu4-Stereonet - CIVL2002 Engineering Geology and Rock...

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