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

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

. (Equation F14) Substituting this definition into equation 11, , (Equation F15) this ratio can be states as: . (Equation F16) This is the definition used to contour areas of slip in Chapter 4, based on the friction angle. F.2 Definitions for Deviatoric and Differential Stress Differential and deviatoric stress are plotted in UDEC and Phase 2 , respectively. There exists a need to define these parameters. Differential stress is defined as . It is a scalar quantity and is not to be confused with deviatoric stress, which defined by a tensor. Notation used to describe the deviatoric stress tensor is that used by Jaeger et al., (2007). The deviatoric stress tensor is obtained from subtracting the isotropic component of the stress tensor , (Equation F17) , where τ m is the mean of the principal stresses, from the full stress tensor, (Equation F18) 208
Such that , (Equation F19) I is the identity matrix, . (Equation F20) . (Equation F21) The resulting deviatoric tensor takes the form . (Equation F22) Principal deviatoric stresses have the same orientation as principal stresses and are defined as: , (Equation F23) , (Equation F24) . (Equation F25) 209
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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
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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 and 222: yval= abs(z_syy(zi)) xyval= abs(z_s
Page 223: and rearranged to , (Equation F4) .
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title of the thesis - Department of Geology - Queen's University

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