title of the thesis - Department of Geology - Queen's University

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$Fayek & Kyser 2000 uraninite fractionations.pdf - Queen's University$

Appendix F Fracture Reactivation F.1 Maximum-to-minimum Principal Stress Ratio Mapping fracture reactivation, as done in Chapter 4, is a function of the maximum-to minimum principal stress ratio. This is described in terms of the friction angle when there is no cohesion. Using the Mohr-Coulomb failure envelope as well as the Mohr circle, the Sine Law can be written as , (Equation F1) as shown in for triangle PBR in Figure F.1. Figure F1: Mohr-Coulomb failure envelope with Mohr circle depicting angles and quantities used in derivation Defining lengths BR and PB, (Equation F2) These can be substituted into Equation F1, 206 (Equation F3)
and rearranged to , (Equation F4) . (Equation F5) There are two intersections of the Mohr Circle with the Mohr-Coulomb failure envelope and thus two angles at which slip can occur: and (Equation F6) . (Equation F7) When cohesion is reduced to zero, these angles can be expressed as: (Equation F8) . (Equation F9) For the argument, , (Equation F10) . (Equation F11) By defining the maximum normal and shear stress, (Equation F12) , (Equation F13) the ratio of these quantities can be defined in terms of the maximum and minimum principal stress, 207
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THE INFLUENCES OF STRESS AND STRUCT
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esulting in increased stress to the
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Table of Contents Abstract.........
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4.6.1 Fracture Reactivation........
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List of Figures Figure 1.1: Locatio
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Figure 3.23: Preliminary stress inv
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Figure B11: Events between Jan 1, 2
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List of Tables Table 2.1: Geologica
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Chapter 1 Introduction 1.1 Backgrou
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Figure 1.1: Location of Sudbury and
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Chapter 2 Geological Assessment of
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ack breccia and sediments later dep
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Murray Fault, the principal fault o
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2.2 Local Geology of Creighton Mine
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B West East B’ Figure 2.4B: Longi
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Table 2.2: Fault systems within the
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Table 2.3: Summary of Fault Charact
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Figure 2.6: (A) Damage to shotcrete
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Figure 2.7: (A) The 1290 Shear Zone
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Figure 2.8: Images of (A) the 400-E
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Figure 2.9: (A) Photograph of the c
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Figure 2.10 (A) Shear foliation, in
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Figure 2.11: Thin sections of the F
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(Fig. 2.12B). Reduction of quartz g
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2.3.11 Late-Stage Fractures The you
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overprinting (Cochrane, 1991; Couls
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Table 2.4: Summary of Proterozoic t
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Both of these inferred stress direc
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are, at this time, in the process o
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Microseismic events of this subset
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3.2.1.2 Seismic Energy (E o ) and S
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3.2.1.4 Stress Parameters Stress pa
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located events were removed from cl
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Figure 3.7: Detected seismicity cor
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Table 3.1: Event characteristics in
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Table 3.3: Summary of relevant para
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) Damage Zone The rock mass in the
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quadrants of dilatation and compres
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Figure 3.12: Lower hemisphere equal
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mechanism shows that over 57% of th
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Figure 3.16: Classification of prin
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Figure 3.18: Contoured P-axis, B-ax
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Figure 3.20: Distribution of double
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This parameter reflects the magnitu
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Figure 3.23: Preliminary stress inv
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Figure 3.25: Equal area stereonet s
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Figure 3.27: (A) Maximum principal
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4.2 Numerical Methods Phase 2 and U
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Stress-strain relationships are use
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Rock mass failure is governed by th
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Figure 4.5: (A) Model for tectonic
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The zero cohesion and low friction
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Figure 4.9: Model of yielding for C
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Figure 4.11: Model of differential
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Figure 4.14: Model of maximum stres
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stress field model. There is little
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clustering are indications of rock
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Figure 4.23: Contoured domains of s
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Figure 4.24: Fracture initiation th
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seismic Cluster 1, which correspond
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contains energetic events and is no
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preferentially oriented fracture pl
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methodologies employed are of value
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References Alcott, J. M., Kaiser, P
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Galkin, V., Mungall, J. (2005). Str
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Mungall, J. E., & Hanley, J. J. (20
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Appendix A Geological Maps and Samp
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A.2 Level Plans with Sample Locatio
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Figure A3: 7400 Level, modified for
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Figure A5: 7680 Level, modified for
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Figure A7: 7940 Ramp, modified from
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MICROSEISMIC EVENTS Source Radius A
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2006 Event Frequency with Depth 600
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B.2 Spatial Distribution of Seismic
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Cluster 1 Source Radius Asp. Radius
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Seismic Moment 10.0 9.5 9.0 8.5 8.0
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143 Peak Velocity Parameter -2.5 -2
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B.4.2 Temporal Distribution of Clus
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147 Static Stress Drop 5.0 5.5 6.0
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B.4.3 Temporal Distribution of Clus
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151 Static Stress Drop 4.0 4.5 5.0
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Frequency-Magnitude Relation for Cl
Page 171 and 172: P-axis B-axis T-axis 155 Fault Plan
Page 173 and 174: P-axis B-axis T-axis Fault Plane 1
Page 179 and 180: D.1.1: Case 1 Models Figure D1: Cas
Page 181 and 182: Figure D3: Case 1, elastic models s
Page 183 and 184: A B C D Figure D5: Case 1, plastic
Page 185 and 186: A B C D Figure D7: Case 1, plastic
Page 187 and 188: D.1.2: Case 2 Models A B C D Figure
Page 189 and 190: D.1.3: Case 3 Models A B C Figure D
Page 191 and 192: D1.4 Tectonic Loading Models Figure
Page 193 and 194: D.2 Discussion of Phase 2 Models El
Page 195 and 196: Staged models were created in which
Page 197 and 198: Figure D17 (A) Elastic model showin
Page 199 and 200: Figure D19 (A) Elastic model showin
Page 201 and 202: • Similar damage zones surroundin
Page 203 and 204: ; ;================================
Page 205 and 206: change jmat=1 range 0,1564.64 0,156
Page 207 and 208: crack (845.579,718.676) (787.063,57
Page 209 and 210: ;===plum=== crack (0,355.2371429) (
Page 211 and 212: crack (866.14,726.44) (838.2,737.61
Page 213 and 214: crack (838.2,737.616) (815.848,771.
Page 215 and 216: crack (815.848,771.144) (815.848,78
Page 217 and 218: ;===== define sub block ===========
Page 219 and 220: E.9 S3:S1 Model for fracture reacti
Page 221: yval= abs(z_syy(zi)) xyval= abs(z_s
Page 225: Such that , (Equation F19) I is the
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title of the thesis - Department of Geology - Queen's University

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